- Number Charts
- Multiplication
- Long division
- Basic operations
- Telling time
- Place value
- Roman numerals
- Fractions & related
- Add, subtract, multiply, and divide fractions
- Mixed numbers vs. fractions
- Equivalent fractions
- Prime factorization & factors
- Fraction Calculator
- Decimals & Percent
- Add, subtract, multiply, and divide decimals
- Fractions to decimals
- Percents to decimals
- Percentage of a number
- Percent word problems
- Classify triangles
- Classify quadrilaterals
- Circle worksheets
- Area & perimeter of rectangles
- Area of triangles & polygons
- Coordinate grid, including moves & reflections
- Volume & surface area
- Pre-algebra
- Square Roots
- Order of operations
- Scientific notation
- Proportions
- Ratio word problems
- Write expressions
- Evaluate expressions
- Simplify expressions
- Linear equations
- Linear inequalities
- Graphing & slope
- Equation calculator
- Equation editor
- Elementary Math Games
- Addition and subtraction
- Math facts practice
- The four operations
- Factoring and number theory
- Geometry topics
- Middle/High School
- Statistics & Graphs
- Probability
- Trigonometry
- Logic and proof
- For all levels
- Favorite math puzzles
- Favorite challenging puzzles
- Math in real world
- Problem solving & projects
- For gifted children
- Math history
- Math games and fun websites
- Interactive math tutorials
- Math help & online tutoring
- Assessment, review & test prep
- Online math curricula
→ → Grade 7 This is a comprehensive collection of free printable math worksheets for grade 7 and for pre-algebra, organized by topics such as expressions, integers, one-step equations, rational numbers, multi-step equations, inequalities, speed, time & distance, graphing, slope, ratios, proportions, percent, geometry, and pi. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any seventh grade math program, but go especially well with . The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5). All worksheets come with an answer key placed on the 2nd page of the file. In seventh grade, students will study pre-algebra topics, such as integer arithmetic, simplifying expressions, the distributive property, and solving equations & inequalities. They continue studying ratio and percent and learn about proportions. Please note that these free worksheets do not cover all 7th grade topics; most notably, they do not include problem solving. Introduction to algebra
(round to two decimal digits) (by combining like terms; no negative numbers) (for example 4 + 2 or · 3 · · · 7) Integers — numbers from −20 to 20 — numbers from −50 to 50 — numbers from −100 to 100
by Edward Zaccaro A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging. (for example −6 + − 5 or −7 · ) One-step equations Rational numbers
(includes negative decimals) (includes negative decimals) (includes negative decimals) (includes negative decimals) (includes negative decimals) (includes negative decimals) (includes negative decimals) This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover real-world uses of decimals in pricing, sports, metrics, calculators, and science.
These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.
- up to 8-digit numbers - up to 12-digit numbers - up to 8-digit numbers - up to 12-digit numbers either the numerator or the denominator is an integer Equations and inequalities - constants and coefficients are non-negative whole numbers - constants and coefficients may be negative integers (have a larger absolute value) Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.
Constant speed, time, and distance : using quarter hours : using twelfths of an hour : using decimal hours or hours and minutes time is given to the fourth of an hour time is given to the twelfth of an hour problems involve conversion of a time unit Graphing & Slope (slope is a whole number) (slope can be a fraction) (slope is a whole number) (slope can be a fraction) (slope is a whole number) (slope may be a fraction) by Edward Zaccaro Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.
Ratio Proportions Percent — includes percentages more than 100% — easy, percents are multiples of ten — medium, percents are multiples of five — percentages over 100% — use a calculator - easy - use a calculator Key to Percents first emphasizes mental computation and estimation skills--since most work with percents is done without pencil and paper. Then students are taught to solve percent problems using equal fractions and decimal multiplication. Finally, percents are used to solve word problems in a variety of applications. Key to Percents assumes only a knowledge of fraction and decimal computation. Book 1 covers Percent Concepts. Book 2 covers Percents and Fractions. Book 3 covers Percents and Decimals.
Geometry (scaling on the grid is from -50 to 50)
(halves, thirds, and fourths; the whole number part is max 2) (challenge: fractions up till sixths) (easy) (using decimals) when surface area or volume is given Here is a non-intimidating way to prepare students for formal geometry. workbooks introduce students to a wide range of geometric discoveries as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps-and are prompted to form their own generalizations. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs.
Circle & Pi |
![](http://writinghelp.online/777/templates/cheerup/res/banner1.gif)
7th Grade Math Word Problems
Related Pages More Math Word Problems Algebra Word Problems More Singapore Math Word Problems 7th Grade Math Word Problems 2
In these lessons, we will look at some examples of 7th grade word problems with answers, solved using the Singapore Math block diagram method as well as using Algebra.
The following are some examples of 7th Grade Math Word Problems that deals with ratio and proportions.
These are Grade 7 word problems from a Singapore text. The problems are solved both using algebra (the way it is generally done in the US) and using block diagrams (the way it was shown in the Singapore text). You can then decide which one you prefer.
Singapore Math 2 (A Grade 7 Algebra Word Problem from a Singapore text)
Example: Mr. Rozario bought some apples and oranges. The ratio of the number of apples to the number of oranges are 2:5. He gave 3/4 of the apples to his sister and 34 oranges to his brother. The ratio of the number of apples to the number of oranges that he has now is 2:3. How many apples did Mr. Rozario buy? How many oranges did Mr. Rozario buy?
Example: At first, the ratio of Sam’s savings to Ray’s savings was 5:4. After each of them donated $45 to charity, the ratio of Sam’s savings to Ray’s savings became 13:10. What was Sam’s savings at first?
Example: Dan had 50% fewer stickers than Jeff. After Jeff gave 20 of his stickers to Dan, Dan had 40% fewer stickers than Jeff (had after he gave away 20 of his stickers). How many stickers did Dan have at first?
Example: There are 8 more girls than boys in a particular class. 3/5 of the boys and 1/3 of the girls were born in Georgia. If the number of boys that were born in Georgia is equal to the number of girls that were born in Georgia, how many students (boys and girls together) in that class were born in Georgia?
Example: Ray and Omar collect stamps. Originally, 1/5 of Omar’s stamps were equivalent to 1/3 of Ray’s stamps. If Ray gave Omar 24 stamps, Omar would have 3 times as many stamps as Ray. Find the number of stamps each of them had in the beginning.
Example: Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Example: The ratio of the amount of turkey to the amount of chicken at the grocery store was 8:3 in the morning. By the end of the day, 14 pounds of turkey had been sold. The ratio of the amount of turkey to the amount of chicken was now 3:2. a. How many pounds of turkey did the grocery store have in the morning? b. How many pounds of chicken did the grocery store have in the morning?
![math problem solving examples for grade 7 Mathway Calculator Widget](https://www.onlinemathlearning.com/image-files/mw-widget-sm.png)
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.
Build Confidence with Math Problem Solving
Daily Problem Solving will help your 7th grade students master the skills they need to be successful with challenging word problems...and have fun doing it .
What you'll get with this download:
Your download includes a full week of Daily Problem Solving for Grade 7 to try out in your own classroom. Developed with the brain in mind, these multi-step word problems will challenge your learners without overwhelming them. Best of all, you'll be able to watch their skills and confidence grow as they begin to internalize strategies for conquering this difficult math skill.
FUN & ENGAGING
Themed-problems and a weekly fun fact make it easy to keep learners engaged
MINIMAL PREP
Formatted for quick & easy implementation that won't add stress to your planning
PRINT & DIGITAL
Includes both print and digital student options for added flexibility
I've been using this with my extremely anxious learner and it works wonders to build confidence because we see the improvement.
These have given me such an insight into my students' abilities, and I've watched them improve their skills and successfully solve multi-step word problems.
Jilliana D.
STUDENT PRINTABLES
You'll receive a full week of printable Daily Problem Solving practice for your students. This format includes:
- Paper-saving format that fits a full week on one page
- Space for student work, feedback, and self-reflection
- Themed problems & weekly fun fact to engage
DIGITAL SLIDES
Daily digital slides offer your remote or online learners the opportunity to build problem-solving skills in a structured format designed for success.
- Single slide per day prevents overwhelm or distraction
- Organized with clear space to solve & answer
- Engaging graphics, themed problems, & fun facts
Don’t wait, get started helping your learners master word problems today!
© Differentiated Teaching | Back to the Blog
Fractions and Mixed Numbers Grade 7 Math Questions and Problems With Solutions and Explanations
Detailed solutions and full explanations to fractions and mixed numbers grade 7 problems are presented.
- Find fraction F with denominator less than 8 such that 2 / 8 + F = 1 Solution Solve for F F = 1 - 2 / 8 = 8 / 8 - 2 / 8 , common denominator = 6 / 8 , subtract numerator = 3 / 4 , reduce fraction
- Find two fractions F1 and F2 with same denominator equal to 6 such that F1 + F2 = 1 and F1 - F2 = 2/3 Solution Let us write F1 + F2 and F1 - F2 as follows F1 + F2 = 1 = 6 / 6 F1 - F2 = 2 / 3 = 4 / 6 F1 and F2 are fractions with denominator 6. Their numerator must add up to 6 and their difference is 4. Hence F1 and F2 are equal to F1 = 5 / 6 and F2 = 1 / 6
- Which fraction is equivalent to 16%? Solution 16% is written as a fraction and reduced 16% = 16 / 100 = 4 / 25
- 1/2 + 1/5 + 1/6 = Solution The LCM of 2, 5 and 6 is first calculated 2 = 2 5 = 5 6 = 2 × 3 LCM = 2 × 5 × 3 = 30 We use the LCM as the lowest common denominator for all 3 fractions 1 / 2 + 1 / 5 + 1 / 6 = (1×15) / (2×15) + (1×6) / (5×6) + (1×5) / (6×5) Simplify = 15 / 30 + 6 / 30 + 5 / 30 Add and reduce = 26 / 30 = 13 / 15
- 3 3/5 + 5 1/2 = Solution Add whole parts together and fractional parts together 3 3/5 + 5 1/2 = (3 + 5) + (3/5 + 1/2) Common denominator for fractions 3/5 and 1/2 = 8 + (6/10 + 5/10) = 8 + 11/10 Change improper fraction 11/10 into mixed number and add = 8 + 10/10 + 1/10 = 8 + 1 + 1/10 = 9 1/10
- 1/7 × 2 2/5 = Solution Change the mixed number 2 2/5 into fraction and multiply 1/7 × 2 2/5 = 1/7 × 12/5 = 12 / 35
- 1/12 × 0.2 = Solution Change decimal number 0.2 into fraction 0.2 = 2/10 = 1/5 Multipliply the two fractions 1/12 × 0.2 = 1/12 × 1/5 = 1 / 60
- 2/5 ÷ 6 = . Solution Use division rule 2/5 ÷ 6 = 2/5 ÷ 6/1 = 2/5 × 1/6 = 2/30 Reduce fraction = 1/15
- 9/7 + 2 = . Solution Change 2 into fraction 2/1 and set common denominator. 9/7 + 2 = 9/7 + 2/1 = 9/7 + 14/7 = 23/7 = 3 2/7
- 2 1/3 + 4/2 = . Solution Simplify 4/2 and add. 2 1/3 + 4/2 = 2 1/3 + 2 = 4 1/3
- 3 1/5 ÷ 5 = Solution Change mixed number 3 1/5 into frcation and rewrite 5 as fraction 5/1. 3 1/5 ÷ 5 = 16/5 ÷ 5/1 = Apply rule of division of fractions and simplify. = 16/5 × 1/5 = 16/25
- 1/2 + 4 1/3 - 3 2/5 = Solution Add/subtract whole parts and fractional parts separately. 1/2 + 4 1/3 - 3 2/5 = 4 - 3 + 1/2 + 1/3 - 2/5 Find LCM of 2, 3 and 5 . 2 = 2 3 = 3 5 = 5 LCM(2,3,5) = 2×3×5 = 30 Use LCM as common denominator. = 1 + (15/30 + 10/30 - 12/30) = 1 + 13/30 = 1 13/30
- 5/2 ÷ 7/2 - 1/5 = Solution Order of operation division first 5 / 2 ÷ 7 / 2 - 1 / 5 = 5 / 2 × 2 / 7 - 1 / 5 Simplify = 5 / 7 - 1 / 5 Common denominator and subtract = 25 / 35 - 7 / 35 = 18 / 35
- (0.2 + 1/5) × 2/7 = Solution Change decimal number 0.2 into fraction 1/5 (0.2 + 1/5) × 2/7 = (1/5 + 1/5) × 2/7 Use order of opeartions = 2/5 × 2/7 = 4 / 35
- (3 1/2 + 3/5) × 1/7 = Solution Change mixed number 3 1/2 into fraction (3 1/2 + 3/5) × 1/7 = (7/2 + 3/5) × 1/7 Find common denominator to 7/2 and 3/5 and add = (35/10 + 6/10) × 1/7 = 41/10 × 1/7 Multiply fractions = 41 / 70
- (1/2 + 2/3) ÷ 0.2 = Solution Add the fractions within the brackets and write 0.2 as a fraction 1/5 (1/2 + 2/3) ÷ 0.2 = (3/6 + 4/6) ÷ 1/5 = 7/6 ÷ 1/5 Use rule of division of fractions = 7/6 × 5/1 = 35 / 6 = 5 5/6
- Order from least to greatest: 3 4/7 , 3 3/5 , 3 1/2 , 3 11/20 . Solution The given mixed numbers all have same whole parts but different fractions. It is easier to compare fractions when they have common denominator. The common denominator of the fractional parts is the LCM of 7,5,2,and 20. 7 = 7 5 = 5 2 = 2 20 = 2 2 × 5 LCM(7,5,2,20) = 7 × 5 × 2 2 = 140 We now rewrite all mixed with fractional parts with same denominator 3 4/7 = 3 80/140 3 3/5 = 3 84/140 3 1/2 = 3 70/140 3 11/20 = 3 77/140 We now order mixed numbers from least to greatest 3 1/2 , 3 11/20 , 3 4/7 , 3 3/5
- Order from least to greatest: 2 7/8 , 2.66 , 262% , 25/8 . Solution We need to rewrite the given numbers in a single form. Let us write them in decimal form 2 7/8 = 2 + 7/8 = 2 + 0.875 = 2.875 2.66 = 2.66 262% = 262 / 100 = 2.62 25/8 = 24/8 + 1/8 = 3 + 0.125 = 3.125 We now use the decimal form of the given numbers to order them from least to greatest. 262% , 2.66 , 2 7/8 , 25/8
Links and References
- Skills by Standard
- Skills by Grade
- Skills by Category
Go to profile
- Assignments
- Assessments
- Report Cards
- Our Teachers
![math problem solving examples for grade 7 math problem solving examples for grade 7](https://www.mathgames.com/images/skill-preview/524cdf903cbb0fbe5300048f.png)
Common Core - State Standards Initiative
- Students learn about ratios, mixed properties, statistics and other seventh grade skills.
- Teachers incorporate the use of the scratchpad to give students a visual representation.
- Videos provide instant help for students who are struggling with their assignments.
- Inspiration
7th Grade Math Problems
In 7th grade math problems you will get all types of examples on different topics along with the solutions.
Keeping in mind the mental level of child in Grade 7, every efforts has been made to introduce new concepts in a simple language, so that the child understands them easily. The difficulty level of the problems has been reduced and mathematical concepts have been explained in the simplest possible way. Each topic contains a large number of examples to understand the applications of concepts. If student follow math-only-math they can improve their knowledge by practicing the solutions step by step which will help you to score in your exam.
● Set Theory
Sets : An introduction to sets, methods for defining sets, element of set and use of set notations.
Objects Form a Set : State, whether the following objects form a set or not by giving reasons.
Elements of a Set : Learn how to find the elements of a set with the help of various types of problems on the basic concepts of sets.
Properties of Sets : Using the basic properties to represent a set learn to solve various basic types of problems on sets.
Representation of a Set : Definition with examples of statement form, roster form or tabular form, set builder form cardinal number of a set and the standard sets of numbers.
Different Notations in Sets : Some of the familiar notations used in sets which are generally required to solve various types of problems on sets.
Standard Sets of Numbers : Learn to represent the standard sets of numbers using the three methods i.e. statement form, roster form and set builder form.
Types of Sets : Definition with examples of empty set or null set, singleton set, finite set, infinite set, cardinal number of a set, equivalent set and equal sets.
Pairs of Sets : Definition with examples of equal set, equivalent set, disjoint sets and overlapping set.
Subset : Definition with examples of subset and its types, super set, proper subset, power set and universal set.
Subsets of a Given Set : How to find the number of subsets of a given set and number of proper subsets of a given set.
Operations on Sets : Learn the meaning. What are the four basic operations on sets? How the operations are carried out in union of sets and intersection of sets?
Union of Sets : Definition of union of sets with examples. Learn how to find the union of two sets and worked-out examples.
Intersection of Sets : Definition of intersection of sets with examples. Learn how to find the intersection of two sets and worked-out examples.
Difference of two Sets : Learn how to find the difference between the two sets and worked-out examples.
Complement of a Set : Definition of complement of a set and their properties with some worked-out examples.
Cardinal number of a set : Definition of a cardinal number of a set, the symbol used for showing the cardinal number, worked-out examples.
Cardinal Properties of Sets : Learn how to solve the real-life word problems on set using the cardinal properties.
Venn Diagrams : Learn to represent the basic concepts of sets using Venn-diagram in different situations.
● Relations and Mapping
Ordered Pair
Cartesian Product of Two Sets
Domain and Range of a Relation
Functions or Mapping
Domain Co-domain and Range of Function
● Relations and Mapping - Worksheets
Worksheet on Math Relation
Worksheet on Functions or Mapping
● Numbers - Integers
Multiplication of Integers
Properties of Multiplication of Integers
Examples on Multiplication of Integers
Division of Integers
Absolute Value of an Integer
Comparison of Integers
Properties of Division of Integers
Examples on Division of Integers
Fundamental Operation
Examples on Fundamental Operations
Uses of Brackets
Removal of Brackets
Examples on Simplification
● Numbers - Worksheets
Worksheet on Multiplication of Integers
Worksheet on Division of Integers
Worksheet on Fundamental Operation
Worksheet on Simplification
● Fractions
Types of Fractions
Equivalent Fractions
Like and Unlike Fractions
Conversion of Fractions
Fraction in Lowest Terms
Addition and Subtraction of Fractions
Multiplication of Fractions
Division of Fractions
● Fractions - Worksheets
Worksheet on Fractions
Worksheet on Multiplication of Fractions
Worksheet on Division of Fractions
● Story about the Decimal Number
Decimals : Concept for decimals in derails.
Decimal Numbers : Learn reading decimal numbers, writing decimal numbers etc,.
Decimal Fractions : Learn reading decimal fractions, writing decimal fractions.
Decimal Places : Learn reading and writing the place values of a decimal number in words.
Decimal and Fractional Expansion : Learn how to expand the decimal numbers and the decimal numbers in fractions
Like and Unlike Decimals : Learn to identify like decimals and unlike decimals.
Conversion of Unlike Decimals to Like Decimals : Learn to convert unlike decimals in like decimals
Comparing Decimals : Learn to order and compare decimal numbers, arranging decimals in ascending order and arranging decimals in descending order
Adding Decimals : Learn to add decimals in the correct order, word problems.
Subtracting Decimals : Learn to subtract decimals in the correct order, word problems
Simplify Decimals Involving Addition and Subtraction Decimals : Examples for simplifying decimals for adding and subtracting.
Multiplying Decimal by a Whole Number : Learn to multiply decimals by a whole number in the correct order, word problems
Multiplying Decimal by a Decimal Number : Learn to multiply decimals by a decimal number in the correct order, word problems
Dividing Decimal by a Whole Number : Learn to divide decimals by a whole number in the correct order, word problems
Dividing Decimal by a Decimal Number : Learn to divide decimals by a decimal number in the correct order, word problems
Simplification of Decimal : Examples for simplifying decimals, operation on decimals.
Converting Decimals to Fractions : Learn to express decimal number into fraction
Converting Fractions to Decimals : Learn to express fraction into decimal number
Rounding Decimals : Learn to round off decimals
Rounding Decimals to the Nearest Whole Number : Learn to round off decimals to the nearest whole number
Rounding Decimals to the Nearest Tenths : Learn to round off decimals to the nearest tenths
Rounding Decimals to the Nearest Hundredths : Learn to round off decimals to the nearest hundredths
Round a Decimal : Problems for rounding off decimals
H.C.F. and L.C.M. of Decimals : Learn to find the highest common factor, lowest common multiple of more than two decimal numbers
Terminating Decimal : Definition of terminating decimals, examples to identify terminating decimals
Non-Terminating Decimal : Definition of non-terminating decimal, examples to identify non-terminating decimals
Repeating or Recurring Decimal : Definition of recurring decimals, examples to identify recurring decimals
Pure Recurring Decimal : Definition of pure recurring decimal, examples to pure recurring decimal
Mixed Recurring Decimal : Definition of mixed recurring decimal, examples to identify mixed recurring decimal
Conversion of Pure Recurring Decimal into Vulgar Fraction : Learn to express pure recurring decimals to vulgar fractions with examples.
Conversion of Mixed Recurring Decimals into Vulgar Fractions : Learn to express mixed recurring decimals to vulgar fractions with examples.
BODMAS/PEMDAS rule:
BODMAS Rule : Learn how to follow the BODMAS rules to simply the order of operations.
BODMAS Rules - Involving Integers : Learn how to follow the BODMAS rules to simply the order of operations involving integers.
BODMAS/PEMDAS Rules - Involving Decimals : Learn how to follow the BODMAS rules to simply the order of operations involving decimals
PEMDAS Rule : Learn how to follow the PEMDAS rules to simply the order of operations.
PEMDAS Rules - Involving Integers : Learn how to follow the PEMDAS rules to simply the order of operations involving integers.
PEMDAS Rules - Involving Decimals : Learn how to follow the PEMDAS rules to simply the order of operations involving decimals.
● Profit, Loss and Discount
Concept of Profit and Loss
Calculate Profit and Profit Percent
Calculate Loss and Loss Percent
Calculate Cost Price using Sell Price and Loss Percent
Calculate Cost Price using Sell Price and Profit Percent
Calculate Selling Price using Cost and Loss Percent
Calculate Selling Price using Cost and Profit Percent
Calculating Profit Percent and Loss Percent
Word Problems on Profit and Loss
Examples on Calculating Profit or Loss
Practice Test on Profit and Loss
Practice Test on Profit Loss and Discount
● Profit, Loss and Discount - Worksheets
Worksheet to Find Profit and Loss
Worksheets on Profit and Loss Percentage
Worksheet on Gain and Loss Percentage
Worksheet on Discounts
● Ratios and Proportions
What is a Ratio?
What is a Proportion?
● Ratios and Proportions - Worksheets
Worksheet on Ratios
Worksheet on Proportions
● Time and Work
Calculate Time to Complete a Work
Calculate Work Done in a Given Time
Problems on Time required to Complete a Piece a Work
Problems on Work Done in a Given Period of Time
Problems on Time and Work
Pipes and Water Tank
Problems on Pipes and Water Tank
● Time and Work - Worksheets
Worksheet on Work Done in a Given Period of Time
Worksheet on Time Required to Complete a Piece of Work
Worksheet on Pipes and Water Tank
● Unitary Method
Problems Using Unitary Method
Situations of Direct Variation
Situations of Inverse Variation
Direct Variations Using Unitary Method
Direct Variations Using Method of Proportion
Inverse Variation Using Unitary Method
Inverse Variation Using Method of Proportion
Problems on Unitary Method using Direct Variation
Problems on Unitary Method Using Inverse Variation
Mixed Problems Using Unitary Method
● Unitary Method - Worksheets
Worksheet on Direct Variation using Unitary Method
Worksheet on Direct variation using Method of Proportion
Worksheet on Word Problems on Unitary Method
Worksheet on Inverse Variation Using Unitary Method
Worksheet on Inverse Variation Using Method of Proportion
● Simple Interest
What is Simple Interest?
Calculate Simple Interest
Practice Test on Simple Interest
● Simple Interest - Worksheets
Simple Interest Worksheet
● Algebraic Expressions
Division of Polynomial by Monomial
● Algebraic Expressions - Worksheets
Worksheet on Dividing Polynomial by Monomial
Formula and Framing the Formula
Change the Subject of a Formula
Changing the Subject in an Equation or Formula
Practice Test on Framing the Formula
● Formula - Worksheets
Worksheet on Framing the Formula
Worksheet on Changing the Subject of a Formula
Worksheet on Changing the Subject in an Equation or Formula
● Algebraic Identities
Square of The Sum of Two Binomials : Using the formula of (a + b) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + 2ab, learn to evaluate the square of the sum of two terms.
Square of The Difference of Two Binomials : Using the formula of (a - b)\(^{2}\) = a \(^{2}\) + b \(^{2}\) - 2ab, learn to evaluate the square of the difference of two terms.
Product of Sum and Difference of Two Binomials : Using the formula of a \(^{2}\) - b \(^{2}\) = (a + b) (a - b), learn to evaluate the product of sum and difference of two terms.
Product of Two Binomials whose First Terms are Same and Second Terms are Different : Learn to use the given formulas to evaluate the product of the two terms whose 1 \(^{st}\) terms are same and 2 \(^{nd}\) terms are different.
• (x + a) (x + b) = x \(^{2}\) + x(a + b) + ab
• (x + a) (x - b) = x \(^{2}\) + x (a – b) – ab
• (x - a) (x - b) = x \(^{2}\) – x (a + b) + ab
• (x - a) (x + b) = x \(^{2}\) + x (b – a) – ab
Square of a Trinomial : Learn to use the formula for the expansion of the square of a trinomial.
• (a + b + c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) + 2ab + 2bc + 2ca
• (a + b - c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) + 2ab – 2bc - 2ca
• (a - b + c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) – 2ab – 2bc + 2ca
• (a - b - c) \(^{2}\) = a \(^{2}\) + b \(^{2}\) + c \(^{2}\) – 2ab + 2bc – 2ca
Cube of The Sum of Two Binomials : Learn the formula to determine the cube of the sum of two terms.
(a + b) \(^{3}\) = a \(^{3}\) + 3a \(^{2}\) b + 3ab \(^{2}\) + b \(^{3}\)
= a \(^{3}\) + b \(^{3}\) + 3ab (a + b)
Cube of The Difference of Two Binomials : Learn the formula to determine the cube of the difference of two terms.
(a - b) \(^{3}\) = a \(^{3}\) – 3a \(^{2}\) b + 3ab \(^{2}\) – b \(^{3}\)
= a \(^{3}\) – b \(^{3}\) – 3ab (a - b)
Cube of a Binomial :
Square of a Binomial :
● Equations
What is an Equation?
What is a Linear Equation?
How to Solve Linear Equations?
Solving Linear Equations
Problems on Linear Equations in One Variable
Word Problems on Linear Equations in One Variable
Practice Test on Linear Equations
Practice Test on Word Problems on Linear Equations
● Equations - Worksheets
Worksheet on Linear Equations
Worksheet on Word Problems on Linear Equation
● Inequations
What are Linear Inequality?
What are Linear Inequations?
Properties of Inequation or Inequalities
Representation of the Solution Set of an Inequation
Practice Test on Linear Inequation
● Inequations - Worksheets
Worksheet on Linear Inequations
● Lines and Angles
Fundamental Geometrical Concepts
Classification of Angles
Related Angles
Some Geometric Terms and Results
Complementary Angles
Supplementary Angles
Complementary and Supplementary Angles
Adjacent Angles
Linear Pair of Angles
Vertically Opposite Angles
Parallel Lines
Transversal Line
Parallel and Transversal Lines
● Congruence
Congruent Shapes :
Congruent Line-segments :
Congruent Angles :
Congruent Triangles :
Conditions for the Congruence of Triangles :
Side Side Side Congruence :
Side Angle Side Congruence :
Angle Side Angle Congruence :
Angle Angle Side Congruence :
Right Angle Hypotenuse Side congruence :
Pythagorean Theorem :
Proof of Pythagorean Theorem :
Converse of Pythagorean Theorem :
Word problems on Pythagorean Theorem :
Polygon and its Classification
Terms Related to Polygons
Interior and Exterior of the Polygon
Convex and Concave Polygons
Regular and Irregular Polygon
Number of Triangles Contained in a Polygon
Angle Sum Property of a Polygon
Problems on Angle Sum Property of a Polygon
Sum of the Interior Angles of a Polygon
Sum of the Exterior Angles of a Polygon
● Polygons - Worksheets
Worksheet on Polygon and its Classification
Worksheet on Interior Angles of a Polygon
Worksheet on Exterior Angles of a Polygon
● Quadrilateral
Quadrilateral : Perimeter of Quadrilateral : Angle Sum Property of a Quadrilateral : Missing angle of a Quadrilateral :
Angles of a Quadrilateral are in Ratio :
● Symmetrical Figure
Linear Symmetry : Identify symmetric and non-symmetric figures and also identify shapes having horizontal line of symmetry, vertical line of symmetry, both horizontal and vertical lines of symmetry, infinite lines of symmetry and no line of symmetry.
Lines of Symmetry : Identify the geometrical shapes having 1, 2, 3, 4, 0 and so on or infinite lines of symmetry.
Point Symmetry : How to find the point symmetry of letters of the English alphabet and the different geometrical figures. Learn the important points to find the conditions that satisfy centre of symmetry.
Reflection Symmetry :
Reflection and Symmetry :
Nets of a Solids :
Rotational Symmetry : Learn what is rotational symmetry and types of rotation i.e. clockwise rotation and anticlockwise rotation.
Order of Rotational Symmetry : Learn the different orders of rotation of the shapes through 360° in clockwise direction and anticlockwise direction.
Types of Symmetry : Learn the various symmetries i.e. linear symmetry, point symmetry and rotational symmetry of the geometrical shapes.
Reflection : Learn how reflection is related to math, define reflection using an image and worked-out examples on math reflection.
Reflection of a Point in x-axis : Learn how to draw the image on the graph paper to find the reflection of a point in x-axis.
Reflection of a Point in y-axis : Learn how to draw the image on the graph paper to find the reflection of a point in y-axis.
Reflection of a point in origin : Learn how to draw the image on the graph paper to find the reflection of a point in origin.
Rotation : Explanation of rotation using an image.
90 Degree Clockwise Rotation : Learn with the help of solved examples to rotate a figure 90 degrees clockwise direction around the origin on a graph paper.
90 Degree Anticlockwise Rotation : Learn with the help of solved examples to rotate a figure 90 degrees anticlockwise direction around the origin on a graph paper.
180 Degree Rotation : Learn with the help of solved examples to rotate a figure 180 degrees clockwise direction and anticlockwise direction around the origin on a graph paper.
● Practical Geometry
- Practical Geometry
- Construction of a Circle
● Coordinate System
- Coordinate Graph
- Ordered pair of a Coordinate System
- Plot Ordered Pairs
- Coordinates of a Point
- All Four Quadrants
- Signs of Coordinates
- Find the Coordinates of a Point
- Coordinates of a Point in a Plane
- Plot Points on Coordinate Graph
- Graph of Linear Equation
- Simultaneous Equations Graphically
- Graphs of Simple Function
- Graph of Perimeter vs. Length of the Side of a Square
- Graph of Area vs. Side of a Square
- Graph of Simple Interest vs. Number of Years
- Graph of Distance vs. Time
● Mensuration
- Area and Perimeter
- Perimeter and Area of Rectangle
- Perimeter and Area of Square
- Area of the Path
- Area and Perimeter of the Triangle
- Area and Perimeter of the Parallelogram
- Area and Perimeter of Rhombus
- Area of Trapezium
- Circumference and Area of Circle
- Units of Area Conversion
- Practice Test on Area and Perimeter of Rectangle
- Practice Test on Area and Perimeter of Square
● Mensuration - Worksheets
- Worksheet on Area and Perimeter of Rectangles
- Worksheet on Area and Perimeter of Squares
- Worksheet on Area of the Path
- Worksheet on Circumference and Area of Circle
- Worksheet on Area and Perimeter of Triangle
● Volume and Surface Area of Solids
- Volume of Cubes and Cuboids
- Worked-out Problems on Volume of a Cuboid
● Statistics
- Real Life Statistics
- Terms Related to Statistics
- Frequency Distribution of Ungrouped and Grouped Data
- Use of Tally Marks
- Class Limits in Exclusive and Inclusive Form
- Construction of Bar Graphs
- Mean of the Tabulated Data
- Construction of Pie Chart
- How to Construct a Line Graph?
From 7th Grade Math Problems to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math . Use this Google Search to find what you need.
New! Comments
Share this page: What’s this?
- Preschool Activities
- Kindergarten Math
- 1st Grade Math
- 2nd Grade Math
- 3rd Grade Math
- 4th Grade Math
- 5th Grade Math
- 6th Grade Math
- 7th Grade Math
- 8th Grade Math
- 9th Grade Math
- 10th Grade Math
- 11 & 12 Grade Math
- Concepts of Sets
- Probability
- Boolean Algebra
- Math Coloring Pages
- Multiplication Table
- Cool Maths Games
- Math Flash Cards
- Online Math Quiz
- Math Puzzles
- Binary System
- Math Dictionary
- Conversion Chart
- Homework Sheets
- Math Problem Ans
- Free Math Answers
- Printable Math Sheet
- Funny Math Answers
- Employment Test
- Math Patterns
- Link Partners
- Privacy Policy
E-mail Address | |
First Name | |
to send you Math Only Math. |
Recent Articles
5th grade math problems | table of contents | worksheets |free answers.
Aug 20, 24 03:42 PM
Construction of Perpendicular Bisector of a Line Segment|Steps-by-Step
Aug 20, 24 03:41 PM
![math problem solving examples for grade 7 Perpendicular Bisector with the Help of Transparent Tapes](https://www.math-only-math.com/images/150x129xperpendicular-bisector-with-the-help-of-transparent-tapes.png.pagespeed.ic.5vdekK9j5h.png)
Construction of Perpendicular Lines by Using a Protractor, Set-square
Aug 18, 24 02:47 PM
![math problem solving examples for grade 7 Working Rules for Construction of Perpendicular Lines](https://www.math-only-math.com/images/150x117xworking-rules-for-construction-of-perpendicular-lines.png.pagespeed.ic.YMXXMohont.png)
Constructing a Line Segment |Construction of Line Segment|Constructing
Aug 16, 24 04:35 PM
![math problem solving examples for grade 7 Constructing a Line Segment](https://www.math-only-math.com/images/150x77xConstructing-a-Line-Segment.png.pagespeed.ic.n2PB9n5f5m.png)
Construction of a Circle | Working Rules | Step-by-step Explanation |
Aug 13, 24 01:27 AM
![math problem solving examples for grade 7 Parts of a Circle](https://www.math-only-math.com/images/parts-of-a-circle.png)
© and ™ math-only-math.com. All Rights Reserved. 2010 - 2024.
![math problem solving examples for grade 7 Building Problem-solving skills for math](https://i1.wp.com/mathteachercoach.com/wp-content/uploads/2023/03/MTC-Building-problem-solving-skills-for-math.png?resize=720%2C380&ssl=1)
Building Problem-solving Skills for 7th-Grade Math
Mathematics is a subject that requires problem-solving skills to excel. In 7th grade, students begin to encounter more complex math concepts, and the ability to analyze and solve problems becomes increasingly important. Building problem-solving skills for math not only helps students to master math concepts but also prepares them for success in higher-level math courses and in life beyond academics.
In this article, we will several key skills that are needed for success in 7th-grade math, and also explore how they can benefit students both academically and personally. We will also provide tips and strategies to help students develop and improve their problem-solving skills. Let’s dive in!
Building Analytical Skills
The first of seven important skills to build is that of analytical skills. These allow students to analyze a problem and break it down into smaller parts. From there, they’re able to identify the key components that need to be addressed. Analytical skills also hone students’ abilities to identify patterns. Students should be able to identify patterns in mathematical data, such as in number sequences, geometric shapes, and graphs. Importantly, students should not just be able to recognize the pattens, but they should be able to describe them (more on that in communication) and use them to make predictions and solve problems.
We alluded to this earlier, but breaking down problems is an essential component of analytical skills. Students with strong analytical skills can break problems down into smaller and more manageable parts. They are then able to identify key components of a problem and use this information to develop a strategy for solving it.
Along with identifying patterns comes identifying relationships. Students with good mathematical analytical skills can identify relationships between different mathematical concepts, such as the relationship between addition and subtraction, or the relationship between angles and shapes. Through strengthening this skill, students will be able to describe these relationships and use them to solve problems.
An important part of analytical skills is the ability to analyze data. Students should be able to analyzeand interpret data presented in a variety of formats, such as graphs, charts, and tables. They should be able to use this data to make predictions, draw conclusions, and solve problems.
Speaking of conclusions, reaching sound conclusions based on mathematical data is a fundamental skill needed for making predictions based on trends in a graph, or drawing inferences from a set of data.
Another skill students should master is the ability to compare and contrast mathematical concepts, such as the properties of different shapes or the strategies for solving different types of problems. Through this, they’ll be able to use the information they gather to solve problems.
With all these skills at play comes arguably the most important: Critical thinking. This is an indicator that a student really grasps the concepts and it’s just repeating them back to you on command. Critical thinking is the ability to evaluate information and arguments, and make judgements and decisions based on evidence, and apply logic and reasoning to solve problems.
Building Creative Thinking
This is the ability for students (or anyone, really) to think outside the box and come up with innovative solutions to problems. This involves being able to approach problems from different angles and to consider multiple perspectives. For a 7th-grader, this skill can be exercised through the following:
- Thinking Outside the Box: Students should be encouraged to think creatively and come up with innovative solutions to problems. This involves thinking outside the box and considering multiple perspectives.
- Finding Multiple Solutions: Students should be able to come up with multiple solutions to a problem and evaluate each one to determine which is the most effective.
- Developing Original Ideas: Students should be able to develop original ideas and approaches to solving problems. This involves being able to come up with unique and innovative solutions that may not have been tried before.
- Making Connections: Students should be able to make connections between different mathematical concepts and apply these connections to solve problems. This involves looking for similarities and differences between concepts and using this information to make new connections.
- Visualizing Solutions : Students should be able to visualize solutions to problems and use diagrams, charts, and other visual aids to help them solve problems.
- Using Metaphors and Analogies: Students should be able to use metaphors and analogies to help them understand complex mathematical concepts. This involves using familiar concepts to explain unfamiliar ones and making connections between different ideas.
Building Problem-Solving Strategies
It may sound like the same thing, but building problem-solving strategies is not the same as building problem-solving skills. Building strategies for problem-solving lends itself to actual problem-solving. Let’s expand on this: Say your student is presented a problem that they’re struggling with, these are some of the problem-solving strategies they may use in order to solve the puzzle.
- Identify the problem: The first step in problem-solving is to identify the problem and understand what is being asked. Students should carefully read the problem and make sure they understand the question before attempting to solve it.
- Draw a diagram: Students can draw a diagram to help visualize the problem and better understand the relationships between different parts of the problem.
- Use logic: Students can use logic to identify patterns and relationships in the problem. They can use this information to develop a plan to solve the problem.
- Break the problem down: Students can break a complex problem down into smaller, more manageable parts. They can then solve each part of the problem individually before combining the solutions to get the final answer.
- Guess and check: Students can guess and check different solutions to the problem until they find the correct answer. This method involves trying different solutions and evaluating the results until the correct answer is found.
- Use algebra: Algebraic equations can be used to solve a variety of mathematical problems. Students can use algebraic equations to represent the problem and solve for the unknown variable.
- Work backward: Students can work backward from the final answer to determine the steps required to solve the problem. This method involves starting with the end goal and working backward to determine the steps needed to get there.
Building Persistence and Perseverance
In an increasingly instant-gratification world with apps, searches and AI chatbots just a click away, this is an important skill not just in the math classroom, but for life in general. Problem-solving, whether that’s a math problem or a life challenge, often requires persistence and perseverance. Student need to learn to be able to stick with a problem even when it seems challenging, difficult, or seemingly impossible. Here are ways you can encourage your students to stick it out when working on problems:
- Trying multiple approaches: When faced with a challenging problem, students can demonstrate persistence by trying multiple approaches until they find one that works. They don’t give up after one attempt but keep trying until they find a solution.
- Reframing the problem: If a problem seems particularly difficult, students can demonstrate perseverance by reframing the problem in a different way. This can help them see the problem from a new perspective and come up with a different approach to solve it.
- Asking for help: Sometimes, even with persistence, a problem may still be difficult to solve. In these cases, students can demonstrate perseverance by asking for help from their teacher or classmates. This shows that they are willing to put in the effort to find a solution, even if it means seeking assistance.
- Learning from mistakes: Making mistakes is a natural part of the problem-solving process, but students can demonstrate persistence by learning from their mistakes and using them to improve their problem-solving skills. They don’t get discouraged by their mistakes, but instead, they use them as an opportunity to learn and grow.
- Staying focused: In order to solve complex math problems, it’s important for students to stay focused and avoid distractions. Students can demonstrate perseverance by staying focused on the problem at hand and not getting distracted by other things.
Building Communication Skills
We alluded to this earlier, but a central part of building problem-solving skills is building the ability to articulate a problem or a solution. This isn’t just for the sake of personal understanding, but critical for collaboration. Students need to be able to explain their thinking, ask questions, and work with others to solve problems. Here are some examples of communication skills that can be used to build problem-solving skills:
- Clarifying understanding: Students can ask questions to clarify their understanding of the problem. They can seek clarification from their teacher or classmates to ensure they are interpreting the problem correctly.
- Explaining their reasoning: When solving a math problem, students can explain their reasoning to show how they arrived at a particular solution. This can help others understand their thought process and can also help students identify errors in their own work.
- Collaborating with peers: Problem-solving can be a collaborative effort. Students can work together in groups to solve problems and communicate their ideas and solutions with each other. This can lead to a better understanding of the problem and can also help students learn from each other.
- Writing clear explanations: When presenting their solutions to a math problem, students can write clear and concise explanations that are easy to understand. This can help others follow their thought process and can also help them communicate their ideas more effectively.
- Using math vocabulary: Math has its own language and using math vocabulary correctly is essential for effective communication. Students can demonstrate their understanding of math concepts by using correct mathematical terms and symbols when explaining their solutions.
Building Mathematical Knowledge
This would seem like a no-brainer, since you’re a math educator clicking on an article about building math problem-solving skills. However, it’s worth being explicit that problem-solving in math requires a solid understanding of mathematical concepts, including arithmetic, algebra, geometry, and data analysis. Students need to be able to apply these concepts to solve problems in real-world contexts.
7th-grade math covers a wide range of mathematical concepts and skills. Here are some examples of mathematical knowledge that 7th-grade math students should have:
- Algebraic expressions and equations: Students should be able to write and simplify algebraic expressions and solve one-step and two-step equations.
- Proportional relationships: Students should be able to understand and apply proportional relationships, including identifying proportional relationships in tables, graphs, and equations.
- Geometry: Students should have a solid understanding of geometry concepts such as angles, triangles, quadrilaterals, circles, and transformations.
- Statistics and probability: Students should be able to analyze and interpret data using measures of central tendency and variability, and understand basic probability concepts.
- Rational numbers: Students should have a solid understanding of rational numbers, including ordering, adding, subtracting, multiplying, and dividing fractions and decimals.
- Integers: Students should be able to perform operations with integers, including adding, subtracting, multiplying, and dividing.
- Ratios and proportions: Students should be able to understand and use ratios and proportions in a variety of contexts, including scale drawings and maps.
In conclusion, problem-solving skills are essential for success in 7th grade math. Analytical skills, critical and creative thinking, problem-solving strategies, persistence, communication skills, and mathematical knowledge are all important components of effective problem-solving. By developing these skills, students can approach math problems with confidence and achieve their full potential.
If you enjoyed this read, be sure to browse more of our articles . More importantly, if you want to save yourself hours of preparation time by having full math curriculums, review guides and tests available at the click of a button, be sure to sign up to our 7th Grade Newsletter . You’ll receive loads of free lesson resources, tips and advice and exclusive subscription offers!
Images Sources
Featured image by Karla Hernandez on Unsplash
https://www.freepik.com/free-photo/boy-pretends-be-superhero-uses-his-mind-draw-concept_6170411.htm#query=child%20thinking&position=21&from_view=search&track=ais
https://www.freepik.com/free-photo/happy-asian-child-student-holding-light-bulb-with-schoolbag-isolated-yellow-background_26562776.htm#query=child%20thinking%20idea&position=1&from_view=search&track=ais
https://www.freepik.com/free-photo/girl-playing-with-cube-puzzle_1267051.htm#query=child%20building&position=14&from_view=search&track=ais
https://www.freepik.com/free-photo/adorable-girl-propping-up-her-head-with-fists-being-upset-dreaming_6511917.htm#page=2&query=child%20thinking&position=0&from_view=search&track=ais
https://www.freepik.com/free-photo/boys-doing-high-five_4350791.htm#page=2&query=child%20talking&position=2&from_view=search&track=ais
https://www.freepik.com/free-photo/schoolgirl-smiling-blackboard-class_1250271.htm#query=child%20math&position=13&from_view=search&track=ais
Share this:
- Click to share on Twitter (Opens in new window)
- Click to share on Facebook (Opens in new window)
SAMPLE MATH PROBLEMS FOR GRADE 7
Question 1 :
What is the square root of 196?
(A) 14 (B) 19 (C) 12
Question 2 :
A play ground is 100 m long and 70 m wide. How much distance does a girl run when she runs 5 times around the playground?
(A) 2500 m (B) 2300 m (C) 1700 m
Question 3 :
From a rectangular sheet of tin, of size 100 cm by 80 cm, are cut four squares of side 10 cm from each corner. Find the area of the remaining sheet.
(A) 2400 cm 2 (B) 3600 cm 2 (C) 7600 cm 2
Question 4 :
If x = 2, y = 3 and z =-2 then find the value of 6x-7y + 4z
(A) 12 (B) -17 (C) -10
Question 5 :
Find the value of x in 4 4x-7 = 4 x-1
(A) 2 (B) 5 (C) 3
Question 6 :
Expand (x + 5y) 2
(A) x 2 + 10 xy + 25y 2 (B) x 2 - 10 xy - 25y 2
(C) x 2 + 10 xy - 25y 2
Question 7 :
On selling a clock for $240, a trader loses 4%. In order to gain 10%, he must sell the clock for
(A) $275 (B) $295 (C) $365
Question 8 :
Find the remainder when 8x 3 - 12x 2 + 6x +15 divided by 2x-3.
(A) 20 (B) 24 (C) 10
Question 9 :
The difference of two numbers is 72 and quotient obtained by dividing the one by other is 3. Find the numbers.
(A) 25, 97 (B) 15, 87 (C) 36, 108
Question 10 :
In triangle ABC, DE parallel to EC find AC when AB = 15 cm, AD = 10 cm and AE = 8 cm
(A) 8 cm (B) 4 cm (C) 2 cm
![math problem solving examples for grade 7 math problem solving examples for grade 7](https://www.onlinemath4all.com/images/onlinemath4all1.png)
(1) 14 (2) 1700 m (3) 7600 cm (4) -27 (5) 2 | (6) x + 10x + 25y (7) $275 (8) 24 (9) 36 and 108 (10) 4 cm |
Kindly mail your feedback to [email protected]
We always appreciate your feedback.
© All rights reserved. onlinemath4all.com
- Sat Math Practice
- SAT Math Worksheets
- PEMDAS Rule
- BODMAS rule
- GEMDAS Order of Operations
- Math Calculators
- Transformations of Functions
- Order of rotational symmetry
- Lines of symmetry
- Compound Angles
- Quantitative Aptitude Tricks
- Trigonometric ratio table
- Word Problems
- Times Table Shortcuts
- 10th CBSE solution
- PSAT Math Preparation
- Privacy Policy
- Laws of Exponents
Recent Articles
Digital sat math problems and solutions (part - 31).
Aug 20, 24 12:09 PM
![math problem solving examples for grade 7 digitalsatmath26.png](https://www.onlinemath4all.com/images/digitalsatmath26.png)
SAT Math Resources (Videos, Concepts, Worksheets and More)
Aug 20, 24 01:35 AM
Geometry Problems with Solutions (Part - 5)
Aug 19, 24 10:56 PM
![math problem solving examples for grade 7 geometryproblems20.png](https://www.onlinemath4all.com/images/geometryproblems20.png)
- Skip to main content
- Skip to primary sidebar
- Skip to footer
Additional menu
Khan Academy Blog
Free Math Worksheets — Over 100k free practice problems on Khan Academy
Looking for free math worksheets.
You’ve found something even better!
That’s because Khan Academy has over 100,000 free practice questions. And they’re even better than traditional math worksheets – more instantaneous, more interactive, and more fun!
Just choose your grade level or topic to get access to 100% free practice questions:
Kindergarten, basic geometry, pre-algebra, algebra basics, high school geometry.
- Trigonometry
Statistics and probability
High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.
- Addition and subtraction
- Place value (tens and hundreds)
- Addition and subtraction within 20
- Addition and subtraction within 100
- Addition and subtraction within 1000
- Measurement and data
- Counting and place value
- Measurement and geometry
- Place value
- Measurement, data, and geometry
- Add and subtract within 20
- Add and subtract within 100
- Add and subtract within 1,000
- Money and time
- Measurement
- Intro to multiplication
- 1-digit multiplication
- Addition, subtraction, and estimation
- Intro to division
- Understand fractions
- Equivalent fractions and comparing fractions
- More with multiplication and division
- Arithmetic patterns and problem solving
- Quadrilaterals
- Represent and interpret data
- Multiply by 1-digit numbers
- Multiply by 2-digit numbers
- Factors, multiples and patterns
- Add and subtract fractions
- Multiply fractions
- Understand decimals
- Plane figures
- Measuring angles
- Area and perimeter
- Units of measurement
- Decimal place value
- Add decimals
- Subtract decimals
- Multi-digit multiplication and division
- Divide fractions
- Multiply decimals
- Divide decimals
- Powers of ten
- Coordinate plane
- Algebraic thinking
- Converting units of measure
- Properties of shapes
- Ratios, rates, & percentages
- Arithmetic operations
- Negative numbers
- Properties of numbers
- Variables & expressions
- Equations & inequalities introduction
- Data and statistics
- Negative numbers: addition and subtraction
- Negative numbers: multiplication and division
- Fractions, decimals, & percentages
- Rates & proportional relationships
- Expressions, equations, & inequalities
- Numbers and operations
- Solving equations with one unknown
- Linear equations and functions
- Systems of equations
- Geometric transformations
- Data and modeling
- Volume and surface area
- Pythagorean theorem
- Transformations, congruence, and similarity
- Arithmetic properties
- Factors and multiples
- Reading and interpreting data
- Negative numbers and coordinate plane
- Ratios, rates, proportions
- Equations, expressions, and inequalities
- Exponents, radicals, and scientific notation
- Foundations
- Algebraic expressions
- Linear equations and inequalities
- Graphing lines and slope
- Expressions with exponents
- Quadratics and polynomials
- Equations and geometry
- Algebra foundations
- Solving equations & inequalities
- Working with units
- Linear equations & graphs
- Forms of linear equations
- Inequalities (systems & graphs)
- Absolute value & piecewise functions
- Exponents & radicals
- Exponential growth & decay
- Quadratics: Multiplying & factoring
- Quadratic functions & equations
- Irrational numbers
- Performing transformations
- Transformation properties and proofs
- Right triangles & trigonometry
- Non-right triangles & trigonometry (Advanced)
- Analytic geometry
- Conic sections
- Solid geometry
- Polynomial arithmetic
- Complex numbers
- Polynomial factorization
- Polynomial division
- Polynomial graphs
- Rational exponents and radicals
- Exponential models
- Transformations of functions
- Rational functions
- Trigonometric functions
- Non-right triangles & trigonometry
- Trigonometric equations and identities
- Analyzing categorical data
- Displaying and comparing quantitative data
- Summarizing quantitative data
- Modeling data distributions
- Exploring bivariate numerical data
- Study design
- Probability
- Counting, permutations, and combinations
- Random variables
- Sampling distributions
- Confidence intervals
- Significance tests (hypothesis testing)
- Two-sample inference for the difference between groups
- Inference for categorical data (chi-square tests)
- Advanced regression (inference and transforming)
- Analysis of variance (ANOVA)
- Scatterplots
- Data distributions
- Two-way tables
- Binomial probability
- Normal distributions
- Displaying and describing quantitative data
- Inference comparing two groups or populations
- Chi-square tests for categorical data
- More on regression
- Prepare for the 2020 AP®︎ Statistics Exam
- AP®︎ Statistics Standards mappings
- Polynomials
- Composite functions
- Probability and combinatorics
- Limits and continuity
- Derivatives: definition and basic rules
- Derivatives: chain rule and other advanced topics
- Applications of derivatives
- Analyzing functions
- Parametric equations, polar coordinates, and vector-valued functions
- Applications of integrals
- Differentiation: definition and basic derivative rules
- Differentiation: composite, implicit, and inverse functions
- Contextual applications of differentiation
- Applying derivatives to analyze functions
- Integration and accumulation of change
- Applications of integration
- AP Calculus AB solved free response questions from past exams
- AP®︎ Calculus AB Standards mappings
- Infinite sequences and series
- AP Calculus BC solved exams
- AP®︎ Calculus BC Standards mappings
- Integrals review
- Integration techniques
- Thinking about multivariable functions
- Derivatives of multivariable functions
- Applications of multivariable derivatives
- Integrating multivariable functions
- Green’s, Stokes’, and the divergence theorems
- First order differential equations
- Second order linear equations
- Laplace transform
- Vectors and spaces
- Matrix transformations
- Alternate coordinate systems (bases)
Frequently Asked Questions about Khan Academy and Math Worksheets
Why is khan academy even better than traditional math worksheets.
Khan Academy’s 100,000+ free practice questions give instant feedback, don’t need to be graded, and don’t require a printer.
Math Worksheets | Khan Academy |
---|---|
Math worksheets take forever to hunt down across the internet | Khan Academy is your one-stop-shop for practice from arithmetic to calculus |
Math worksheets can vary in quality from site to site | Every Khan Academy question was written by a math expert with a strong education background |
Math worksheets can have ads or cost money | Khan Academy is a nonprofit whose resources are always free to teachers and learners – no ads, no subscriptions |
Printing math worksheets use up a significant amount of paper and are hard to distribute during virtual learning | Khan Academy practice requires no paper and can be distributed whether your students are in-person or online |
Math worksheets can lead to cheating or a lack of differentiation since every student works on the same questions | Khan Academy has a full question bank to draw from, ensuring that each student works on different questions – and at their perfect skill level |
Math worksheets can slow down student learning since they need to wait for feedback | Khan Academy gives instant feedback after every answer – including hints and video support if students are stuck |
Math worksheets take up time to collect and take up valuable planning time to grade | Khan Academy questions are graded instantly and automatically for you |
What do Khan Academy’s interactive math worksheets look like?
Here’s an example:
What are teachers saying about Khan Academy’s interactive math worksheets?
“My students love Khan Academy because they can immediately learn from their mistakes, unlike traditional worksheets.”
Is Khan Academy free?
Khan Academy’s practice questions are 100% free—with no ads or subscriptions.
What do Khan Academy’s interactive math worksheets cover?
Our 100,000+ practice questions cover every math topic from arithmetic to calculus, as well as ELA, Science, Social Studies, and more.
Is Khan Academy a company?
Khan Academy is a nonprofit with a mission to provide a free, world-class education to anyone, anywhere.
Want to get even more out of Khan Academy?
Then be sure to check out our teacher tools . They’ll help you assign the perfect practice for each student from our full math curriculum and track your students’ progress across the year. Plus, they’re also 100% free — with no subscriptions and no ads.
Get Khanmigo
The best way to learn and teach with AI is here. Ace the school year with our AI-powered guide, Khanmigo.
For learners For teachers For parents
![math problem solving examples for grade 7](https://www.therouttymathteacher.com/wp-content/uploads/2020/04/routty-math-header-1024x320.png)
Problem Solving Activities: 7 Strategies
- Critical Thinking
![math problem solving examples for grade 7](https://www.therouttymathteacher.com/wp-content/uploads/2018/09/Blog-post-1-1024x1024.png)
Problem solving can be a daunting aspect of effective mathematics teaching, but it does not have to be! In this post, I share seven strategic ways to integrate problem solving into your everyday math program.
In the middle of our problem solving lesson, my district math coordinator stopped by for a surprise walkthrough.
I was so excited!
We were in the middle of what I thought was the most brilliant math lesson– teaching my students how to solve problem solving tasks using specific problem solving strategies.
It was a proud moment for me!
Each week, I presented a new problem solving strategy and the students completed problems that emphasized the strategy.
Genius right?
After observing my class, my district coordinator pulled me aside to chat. I was excited to talk to her about my brilliant plan, but she told me I should provide the tasks and let my students come up with ways to solve the problems. Then, as students shared their work, I could revoice the student’s strategies and give them an official name.
What a crushing blow! Just when I thought I did something special, I find out I did it all wrong.
I took some time to consider her advice. Once I acknowledged she was right, I was able to make BIG changes to the way I taught problem solving in the classroom.
When I Finally Saw the Light
To give my students an opportunity to engage in more authentic problem solving which would lead them to use a larger variety of problem solving strategies, I decided to vary the activities and the way I approached problem solving with my students.
Problem Solving Activities
Here are seven ways to strategically reinforce problem solving skills in your classroom.
![math problem solving examples for grade 7 This is an example of seasonal problem solving activities.](https://www.therouttymathteacher.com/wp-content/uploads/2020/12/Seasonal-Problem-Solving-min-1024x1024.png)
Seasonal Problem Solving
Many teachers use word problems as problem solving tasks. Instead, try engaging your students with non-routine tasks that look like word problems but require more than the use of addition, subtraction, multiplication, and division to complete. Seasonal problem solving tasks and daily challenges are a perfect way to celebrate the season and have a little fun too!
Cooperative Problem Solving Tasks
Go cooperative! If you’ve got a few extra minutes, have students work on problem solving tasks in small groups. After working through the task, students create a poster to help explain their solution process and then post their poster around the classroom. Students then complete a gallery walk of the posters in the classroom and provide feedback via sticky notes or during a math talk session.
Notice and Wonder
Before beginning a problem solving task, such as a seasonal problem solving task, conduct a Notice and Wonder session. To do this, ask students what they notice about the problem. Then, ask them what they wonder about the problem. This will give students an opportunity to highlight the unique characteristics and conditions of the problem as they try to make sense of it.
Want a better experience? Remove the stimulus, or question, and allow students to wonder about the problem. Try it! You’ll gain some great insight into how your students think about a problem.
![math problem solving examples for grade 7 This is an example of a math starter.](https://www.therouttymathteacher.com/wp-content/uploads/2020/12/Math-Starter-min-1024x1024.png)
Math Starters
Start your math block with a math starter, critical thinking activities designed to get your students thinking about math and provide opportunities to “sneak” in grade-level content and skills in a fun and engaging way. These tasks are quick, designed to take no more than five minutes, and provide a great way to turn-on your students’ brains. Read more about math starters here !
Create your own puzzle box! The puzzle box is a set of puzzles and math challenges I use as fast finisher tasks for my students when they finish an assignment or need an extra challenge. The box can be a file box, file crate, or even a wall chart. It includes a variety of activities so all students can find a challenge that suits their interests and ability level.
Calculators
Use calculators! For some reason, this tool is not one many students get to use frequently; however, it’s important students have a chance to practice using it in the classroom. After all, almost everyone has access to a calculator on their cell phones. There are also some standardized tests that allow students to use them, so it’s important for us to practice using calculators in the classroom. Plus, calculators can be fun learning tools all by themselves!
Three-Act Math Tasks
Use a three-act math task to engage students with a content-focused, real-world problem! These math tasks were created with math modeling in mind– students are presented with a scenario and then given clues and hints to help them solve the problem. There are several sites where you can find these awesome math tasks, including Dan Meyer’s Three-Act Math Tasks and Graham Fletcher’s 3-Acts Lessons .
Getting the Most from Each of the Problem Solving Activities
When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student’s response tells teachers where to go next.
Ready to jump in? Grab a free set of problem solving challenges like the ones pictured using the form below.
Which of the problem solving activities will you try first? Respond in the comments below.
![math problem solving examples for grade 7 math problem solving examples for grade 7](https://www.therouttymathteacher.com/wp-content/uploads/2016/08/routty-math-teacher-signature.jpg)
Shametria Routt Banks
![math problem solving examples for grade 7](https://www.therouttymathteacher.com/wp-content/uploads/2020/04/2021-routty-math-teacher-logo-1024x1024.png)
- Assessment Tools
- Content and Standards
- Differentiation
- Math & Literature
- Math & Technology
- Math Routines
- Math Stations
- Virtual Learning
- Writing in Math
You may also like...
![math problem solving examples for grade 7 math problem solving examples for grade 7](https://www.therouttymathteacher.com/wp-content/uploads/2019/03/Blog-post-5-300x300.png)
2 Responses
This is a very cool site. I hope it takes off and is well received by teachers. I work in mathematical problem solving and help prepare pre-service teachers in mathematics.
Thank you, Scott! Best wishes to you and your pre-service teachers this year!
Leave a Reply Cancel reply
Your email address will not be published. Required fields are marked *
This site uses Akismet to reduce spam. Learn how your comment data is processed .
©2024 The Routty Math Teacher. All Rights Reserved. Designed by Ashley Hughes.
Privacy overview, grade level.
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
To log in and use all the features of Khan Academy, please enable JavaScript in your browser.
Unit 1: Proportional relationships
About this unit.
Learn all about proportional relationships. How are they connected to ratios and rates? What do their graphs look like? What types of word problems can we solve with proportions?
Constant of proportionality
- Rates & proportional relationships FAQ (Opens a modal)
- Introduction to proportional relationships (Opens a modal)
- Identifying constant of proportionality graphically (Opens a modal)
- Constant of proportionality from graph (Opens a modal)
- Identifying the constant of proportionality from equation (Opens a modal)
- Constant of proportionality from equation (Opens a modal)
- Constant of proportionality from tables (Opens a modal)
- Constant of proportionality from table (with equations) (Opens a modal)
- Constant of proportionality from graphs Get 3 of 4 questions to level up!
- Constant of proportionality from equations Get 3 of 4 questions to level up!
- Constant of proportionality from tables Get 3 of 4 questions to level up!
- Constant of proportionality from tables (with equations) Get 3 of 4 questions to level up!
Compare and interpret constants of proportionality
- Comparing constants of proportionality (Opens a modal)
- Comparing proportionality constants (Opens a modal)
- Interpret proportionality constants (Opens a modal)
- Compare constants of proportionality Get 3 of 4 questions to level up!
- Interpret constants of proportionality Get 3 of 4 questions to level up!
- Interpret constant of proportionality in graphs Get 3 of 4 questions to level up!
Identifying proportional relationships
- Intro to proportional relationships (Opens a modal)
- Proportional relationships: movie tickets (Opens a modal)
- Proportional relationships: bananas (Opens a modal)
- Proportional relationships: spaghetti (Opens a modal)
- Proportional relationships (Opens a modal)
- Is side length & area proportional? (Opens a modal)
- Is side length & perimeter proportional? (Opens a modal)
- Identify proportional relationships Get 5 of 7 questions to level up!
- Proportional relationships Get 5 of 7 questions to level up!
Graphs of proportional relationships
- Identifying proportional relationships from graphs (Opens a modal)
- Proportional relationships: graphs (Opens a modal)
- Interpreting graphs of proportional relationships (Opens a modal)
- Identify proportional relationships from graphs Get 3 of 4 questions to level up!
- Interpreting graphs of proportional relationships Get 3 of 4 questions to level up!
Writing & solving proportions
- Worked example: Solving proportions (Opens a modal)
- Writing proportions example (Opens a modal)
- Proportion word problem: cookies (Opens a modal)
- Proportion word problem: hot dogs (Opens a modal)
- Solving proportions Get 5 of 7 questions to level up!
- Writing proportions Get 3 of 4 questions to level up!
- Proportion word problems Get 3 of 4 questions to level up!
Equations of proportional relationships
- Equations for proportional relationships (Opens a modal)
- Writing proportional equations from tables (Opens a modal)
- Writing proportional equations (Opens a modal)
- Writing proportional equations from tables Get 3 of 4 questions to level up!
- Writing proportional equations Get 3 of 4 questions to level up!
30 8th Grade Math Problems: Answers With Worked Examples
Erin Schumacher
8th Grade math problems build upon the basic algebraic reasoning and number system knowledge formed in prior grades. They help prepare students for more challenging math concepts that lay ahead of them in high school.
In this blog, middle school math teacher, Erin, provides educators with 30 8th grade math problems to use in the classroom to strengthen learners’ math skills. Teachers can use these 8th grade math problems as warm-ups, competitive partner games, individual practice, or review before a test.
What are 8th grade math problems?
8th grade math problems are math problems specifically for 8th grade students focusing on the math skills and concepts learned in 8th grade.
Many 8th grade math problems typically focus on algebraic reasoning to strengthen the foundations of solving for an unknown variable early on in the year. The majority of 8th grade math builds upon this skill.
For example, when learning geometric concepts such as angle measures, surface area, volume, arc length, and sector area, formulas with an unknown variable are used to solve for measurement quantities.
![math problem solving examples for grade 7 Math Games For 8th Grade](https://thirdspacelearning.com/wp-content/uploads/2024/04/Math-Games-for-8th-Grade-listing-image.png)
Math Games For 8th Grade
15 fun math games and activities for 8th grade students to complete independently or with a partner.
![](http://writinghelp.online/777/templates/cheerup/res/banner1.gif)
8th grade math problems: Math curriculum
6th grade math problems and 7th grade math problems build the foundations for the 8th grade math curriculum. In 7th grade, students work with rational numbers and are introduced to simplifying algebraic expressions and solving algebraic equations.
As students progress to 8th grade, a quick review of 7th grade material leads to a deeper dive into Algebra at a much faster pace.
The math curriculum in 8th grade hones in on linear functions and systems of equations where there are two variables rather than one.
Perhaps, one of the biggest reasons 8th grade students struggle with the Common Core Math Standards is that they don’t have strong algebraic knowledge before introducing more than one variable.
30 8th grade math problems
Here are 30 8th grade middle school math problems to help students practice and secure their knowledge of the core math concepts needed to succeed in high school and beyond.
8th grade math problems: Rational number operations
Question 1 .
Add the values, then keep the negative sign when adding two negative numbers .
Question 2
Answer: -1\frac{11}{72} \text{ or } -\frac{83}{72}
This is another example of adding two negative numbers. Students must add the two fractions and then keep the negative sign.
Question 3
Answer: \frac{53}{320}
Squaring a fraction means both the numerator and denominator are squared. Therefore:
Show students how to enter fractions and exponents on their calculators. Calculators automatically reduce answers to the lowest terms and can help save students time.
READ MORE : What Is A Square Number?
8th grade math problems: Quotients of exponents, decimals, roots, and scientific notation
Question 4 .
Approximate the non-perfect root \sqrt{10} to the nearest tenth without using a calculator.
Answer: 3.2
The non-perfect root of 10 falls between the two perfect roots of 9 and 16.
Question 5
Write the product of \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} using the exponential form.
Answer: (\frac{2}{3})^{4}
Question 6
Apply the Product of Powers Rule to simplify 4^{2} \times 4^{6} without using a calculator.
Answer: 4^{8}
The Produce of Powers Rule states that when the operation between to like bases raised to different powers is multiplication, keep the base and add the exponents.
8th grade math problems: Combining like terms and distributive property
Question 7 .
Answer: -4x-3
For struggling learners, circling one term and boxing the other works well. Additionally, using color to separate the terms is effective when several terms are used.
![math problem solving examples for grade 7 8th grade math problems combining like terms and distributive property answer](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-1-.png)
Answer: x+13
![math problem solving examples for grade 7 8th grade math problems visual answer](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-2.png)
Explain to students that answers should often be reported with the variable listed before the constant.
Answer: -9x+27
![math problem solving examples for grade 7 8th grade math problems worked example](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-3.png)
Drawing arrows to visualize which terms are multiplied together can be very effective.
Teach students they can use negative signs and subtraction signs interchangeably in algebra.
For example, 14-2 x means the 14 is positive and the 2 x is negative, even though the operation before the 2 x is a subtraction sign.
8th grade math problems: Solving one-step and two-step equations
Question 10 .
-4 + x = 10
Answer: x =14
Visual aids and drawings of a vertical line through the equal sign improve some students’ understanding. This clearly indicates the “left” and “right” sides and the need to balance them.
Other students do not like the vertical line, and I typically leave it off when showing my work.
![math problem solving examples for grade 7 8th grade math problems multi-step problem](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-4.png)
Question 11
\frac{x}{120} =3
Answer: x= 360
![math problem solving examples for grade 7 8th grade math problems multi-step problem answer](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-5.png)
Question 12
Answer: x=\frac{1}{2}
![math problem solving examples for grade 7 8th grade math problems two-step problem](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-6.png)
8th grade math problems: Solving multi-step equations with the variable on both sides
Question 13 .
Answer: x = -6
![math problem solving examples for grade 7 8th grade math problems multi-step equations with the variable on both sides](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-7.png)
Question 14
Answer: x= -4
Choose a side to move the x term to. I often told students to try and avoid working with negative numbers if they can, but it’s not necessary.
![math problem solving examples for grade 7 8th grade math problem and answer for a multi-step equations with the variable on both sides](https://thirdspacelearning.com/wp-content/uploads/2024/08/Frame-9028.png)
Question 15
Answer: x = 44
![math problem solving examples for grade 7 Problem and answer for a multi-step equations with the variable on both sides](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-9-1-1.png)
When starting, it is helpful if all answers result in an integer. Students can then determine that something has gone wrong if they receive a fraction or decimal answer.
For high-level learners, incorporate square roots of perfect squares and cube roots where applicable.
8th grade math problems: Special cases and determining the number of solutions
Question 16 .
Answer: All real numbers; infinite solutions
When the resulting statement is true (24=24) , any number can be used for x .
![math problem solving examples for grade 7 8th grade math problems determining the solution](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-10-.png)
Question 17
Answer: Undefined; no solution
When the resulting statement is false (-12=2) , this means no number can be used for x
![math problem solving examples for grade 7 8th grade math problems no solution](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-11.png)
Question 18
-3(x+5)= -(3x+15) Answer: All real numbers; infinite solutions
![math problem solving examples for grade 7 8th grade math problems infinite solutions](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-12.png)
Explain to students they should treat a negative sign (sometimes a subtraction sign) outside parentheses as a negative value that needs to be distributed.
8th grade math problems: Applying linear equations to word problems and real-world application
Question 19 .
Susie spent 2.75 hours on homework last night. She spent \frac{1}{4} hour longer on math than she did on reading. How much time did she spend studying both subjects?
Answer: Susie spent 1.25 hours reading and 1.5 hours on math.
![math problem solving examples for grade 7 8th grade math problems linear equations](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-13.png)
Question 20
In 5 years, Johnny will be twice as old as he is now. How old is Johnny now? Answer: Johnny is 5 years old.
![math problem solving examples for grade 7 8th grade math problems linear equations worked example](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-14.png)
Challenge students to read simpler word problems and write their own equations to represent the scenarios.
8th grade math problems: Linear functions
Question 21.
Is there a proportional relationship in this table of values? If so, find slope.
Answer: Yes; slope = -1
![math problem solving examples for grade 7 8th grade math problems linear functions problem](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-15.png)
The definition of slope is the change in y (dependent variable) divided by the change in x (independent variable).
Question 22
Graph the function y=3x+4
![math problem solving examples for grade 7 8th grade math problems linear functions graph problem](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-16.png)
Have students use a t-chart to help identify coordinates before graphing. Later on, show students how to graph simply using the rules of y-intercepts and slopes.
Question 23
Write the equation of the line that passes through (1, -19) and (-2, -7) in slope-intercept form.
Answer: y= -4x-15
![math problem solving examples for grade 7 8th grade math problems slope intercept](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-17.png)
8th grade math problems: Scatter plots
Question 24.
Give a possible scenario to relate the data in the graph provided.
![math problem solving examples for grade 7 8th grade math problems scatter plots](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-18-.png)
Answer: There are many possible solutions to this question. Here is one possible answer:
![math problem solving examples for grade 7 8th grade math problems scatter plots answer](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-19.png)
Question 25
Make a scatter plot from the data chart provided. Then, describe the correlation, if any.
![math problem solving examples for grade 7 8th grade math problems scatter plots information](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-20.png)
The correlation shows a positive linear relationship between the x and y axis as both variables increase.
Question 26
Both graphs display the same data points. Write the equation of the trend line in the graph on the left, as it fits the data better than the trend line in the graph on the right.
![math problem solving examples for grade 7 8th grade math problems scatter plots comparison](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-22.png)
Answer: y= -0.37x+7.46
Extension: After students write the equation of the line of best fit on paper, challenge the students to plot the points on an online graphing calculator .
Then, have students type y_{1} \sim mx_{1}+b to see how close their equation matches the true linear regression.
8th grade math problems: Pythagorean Theorem, angles of triangles, surface area, volume
Question 27 .
Solve for the missing dimension in the right triangle.
![math problem solving examples for grade 7 8th grade math problems right angle triangle problem](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-23.png)
Answer: x=8.1 \text{ feet}
Question 28
Calculate the measure of exterior angle A by solving for x . Use algebraic reasoning and apply the Exterior Angle Theorem.
![math problem solving examples for grade 7 8th grade math problems finding the exterior angle](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-24.png)
Answer: A=108^{\circ}
Question 29
Calculate the surface area and volume for the given triangular prism .
![math problem solving examples for grade 7 8th grade math problems finding the area](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-25.png)
Answer: \text{Surface area } = 68cm^2 ; \text{ Volume } = 30cm^3
Question 30
Calculate the surface area and volume for the given cone. Round to the nearest hundredth.
![math problem solving examples for grade 7 8th grade math problems finding the surface area of a cone](https://thirdspacelearning.com/wp-content/uploads/2024/08/8th-grade-math-problems-26-.png)
Answer: \text{Surface area } = 75.40cm^2 ; \text{ Volume } = 37.70cm^3
Top Tips for Teaching 8th Grade Math Problems
For success in teaching 8th grade math problems, educators should incorporate:
- Rote skills
- Real-world application
Combining these teaching strategies is crucial for young learners. In my 15 years of experience as a math educator, students are more motivated to pay attention and power through lectures, note-taking, assignments, projects, and assessments if the educator figures out how to make the learning relevant and special to individuals.
Simple things such as having students hand-write notes made a huge impact. Switching assignments between digital and paper frequently helped reduce groaning about the mundane. Incorporating art into math projects brought joy and opened students’ eyes to all the ways and places math is used in everyday life.
How can Third Space Learning help with 8th grade math?
STEM-specialist tutors help close learning gaps and address misconceptions for struggling 8th grade math students.
One-on-one online math tutoring sessions help students deepen their understanding of the 8th grade math curriculum and keep up with difficult math concepts before transitioning to high school.
Each student works with a private tutor who adapts instruction and math lesson content in real-time according to the student’s needs to accelerate learning.
![math problem solving examples for grade 7 8th grade middle school math tutor preparing for high school](https://thirdspacelearning.com/wp-content/uploads/2024/02/Grade-8-Solving-linear-equations-prior-learning.png)
8th grade math worksheets
Looking for more resources? Please see our selection of eighth grade math worksheets covering grade 8 key math topics and more:
- Solve Equations With Fractions Worksheet
- Adding and Subtracting Scientific Notation Worksheet
- Solving Inequalities Worksheet
- Ratios Problem Solving Worksheet
- Negative Exponents Worksheet
READ MORE :
- 2nd Grade Math Problems
- Math Problems For 3rd Graders
- 4th Grade Math Problems
- Math Questions for 5th Graders
- Pythagorean theorem practice problems
Frequently asked questions
What math should an 8th grader know?
Upon completing the 8th grade, students should be well-prepared to enter Algebra 1. They should have a strong understanding of rational and irrational numbers, graphing, solving, and writing linear equations in standard form, slope-intercept form, point-slope form, inequalities, and functions including scatter plots, and geometry.
What grade is Algebra 1?
Algebra 1 typically starts in high school with 9th grade students.It is a high school math course that uses letters and mathematical symbols to solve math problems.
Do 8th grade students use a calculator?
8th grade students typically use calculators to help them solve most problems. Sometimes, an educator will ask students to think critically about an answer rather than relying on a device. However, many current educators understand that technology (including calculators) is readily available at any moment, and embrace using technology in everyday life.
Is 8th grade math hard?
8th grade math presents its challenges to many students. However, all students can succeed if using the tools accessible at their fingertips.
Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?
Related articles
![math problem solving examples for grade 7 28 Math Problems For 2nd Graders With Answers & Teaching Ideas](https://thirdspacelearning.com/wp-content/uploads/2024/08/math-problems-for-2nd-graders-1-180x160.jpg)
28 Math Problems For 2nd Graders With Answers & Teaching Ideas
![math problem solving examples for grade 7 37 Math Problems For 3rd Graders: Answers With Worked Examples](https://thirdspacelearning.com/wp-content/uploads/2024/08/math-problems-for-3rd-graders-FI-1-180x160.jpg)
37 Math Problems For 3rd Graders: Answers With Worked Examples
![math problem solving examples for grade 7 34 6th Grade Math Problems: Answers With Worked Examples](https://thirdspacelearning.com/wp-content/uploads/2024/08/6th-grade-math-problems-FI-180x160.png)
34 6th Grade Math Problems: Answers With Worked Examples
![math problem solving examples for grade 7 4th Grade Math Problems: 18 Guided Problems With Answers & Tips For Teachers](https://thirdspacelearning.com/wp-content/uploads/2024/05/4th-Grade-Math-Problems-180x160.jpg)
4th Grade Math Problems: 18 Guided Problems With Answers & Tips For Teachers
[FREE] Ultimate Math Vocabulary Lists (K-5)
An essential guide for your Kindergarten to Grade 5 students to develop their knowledge of important terminology in math.
Use as a prompt to get students started with new concepts, or hand it out in full and encourage use throughout the year.
Privacy Overview
![math problem solving examples for grade 7 University of Cambridge logo white](https://nrich.maths.org/sites/default/files/styles/large/public/2023-12/University_of_Cambridge_logo_white_600.png?itok=eUDcO68D)
Or search by topic
Number and algebra.
- Place value and the number system
- Fractions, decimals, percentages, ratio and proportion
- Calculations and numerical methods
- Algebraic expressions, equations and formulae
- Coordinates, functions and graphs
- Patterns, sequences and structure
- Properties of numbers
Geometry and measure
- 3D geometry, shape and space
- Transformations and constructions
- Vectors and matrices
- Measuring and calculating with units
- Pythagoras and trigonometry
- Angles, polygons, and geometrical proof
Probability and statistics
- Handling, processing and representing data
- Probability (spec_group)
Working mathematically
- Thinking mathematically
- Mathematical mindsets
Advanced mathematics
- Decision mathematics and combinatorics
- Advanced probability and statistics
For younger learners
- Early years foundation stage
Multiplication and Division KS1
This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.
![math problem solving examples for grade 7 I'm Eight](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-98-11-bbprob2-icon.png?itok=y1X7RsxW)
Magic Plant
![math problem solving examples for grade 7 The Amazing Splitting Plant](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-99-10-letme2-icon.jpg?itok=eGgc54R8)
The Amazing Splitting Plant
![math problem solving examples for grade 7 Catrina's Cards](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-01-09-letme1-icon.jpg?itok=KrEFA73H)
Catrina's Cards
Number detective, the tomato and the bean.
![math problem solving examples for grade 7 Share Bears](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-2358-icon.png?itok=pzWBzznw)
Share Bears
![math problem solving examples for grade 7 Lots of Lollies](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-2360-icon.png?itok=DhUS5VXQ)
Lots of Lollies
![math problem solving examples for grade 7 Ring a Ring of Numbers](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-2782-icon.png?itok=90NvaFQb)
Ring a Ring of Numbers
![math problem solving examples for grade 7 More Numbers in the Ring](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-2783-icon.png?itok=E-Mrwln-)
More Numbers in the Ring
![math problem solving examples for grade 7 Are you well Balanced?](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-4734-icon.png?itok=LtGVHatm)
Are you well Balanced?
![math problem solving examples for grade 7 Clapping Times](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-5482-icon.png?itok=SYS0qBQZ)
Clapping Times
![math problem solving examples for grade 7 Growing Garlic](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-5579-icon.png?itok=3gT7Jloo)
Growing Garlic
![math problem solving examples for grade 7 Lots of Biscuits!](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-6883-icon.png?itok=s0VQb3Ei)
Lots of Biscuits!
![math problem solving examples for grade 7 Even and odd](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-6895-icon.png?itok=koeHIdLD)
Even and odd
![math problem solving examples for grade 7 Our Numbers](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-7006-icon.jpg?itok=Y8L_7Kgp)
Our Numbers
![math problem solving examples for grade 7 Pairs of legs](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-7462-icon.png?itok=KoiRGys8)
Pairs of legs
Two numbers under the microscope.
![math problem solving examples for grade 7 Odd times Even](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-8062-icon.png?itok=AuQOnvzI)
Odd times Even
![math problem solving examples for grade 7 Doubling Fives](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-10588-icon.jpg?itok=G4dba1L6)
Doubling Fives
![math problem solving examples for grade 7 Double or Halve?](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-10654-icon.png?itok=Uz7E73ZF)
Double or Halve?
![math problem solving examples for grade 7 Always, Sometimes or Never?](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-12670-icon.png?itok=UGVEdfeW)
Always, Sometimes or Never?
![math problem solving examples for grade 7 Birthday Sharing](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-14052-icon.png?itok=uHtu7Neb)
Birthday Sharing
![math problem solving examples for grade 7 Tables Teaser](https://nrich.maths.org/sites/default/files/styles/medium/public/thumbnails/content-id-14242-icon.png?itok=4Li13yQB)
Tables Teaser
![Primary Multiplication and Division STEM footer Primary Multiplication and Division STEM footer](https://nrich.maths.org/sites/default/files/styles/large/public/thumbnails/content-id-13497-STEMlogo.png?itok=DxZSsnZn)
![](http://writinghelp.online/777/templates/cheerup/res/banner1.gif)
COMMENTS
Grade 7 Maths Problems With Answers. Grade 7 math word problems with answers are presented. Some of these problems are challenging and need more time to solve. The Solutions and explanatiosn are included.. Problems . In a bag full of small balls, 1/4 of these balls are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white.
7th grade math problems combine 7th grade math concepts with grade-level appropriate reasoning and problem solving skills. 7th grade math content includes computing with all rational ... as teachers, you can give some suggestions. For example, "3/10 of students got an A on the last test. There are 20 students in the class. How many got an A
Unit 4. Negative number addition and subtraction: word problems. Commutative and associative properties of addition with integers. Rational numbers: addition and subtraction: Unit test. Unit 5. One-step equations with negatives (multiply & divide) Multiplying & dividing negative numbers word problems. Negative numbers: multiplication and ...
Multiply Fractions Calculator. Multiply 2 fractions and reduce the answer. Divide Fractions Calculator. Divide 2 fractions and reduce the answer. Reduce Fractions Calculator. Rewrite Fractions in reduced form. Free grade 7 math questions and problems with solutions, including detailed explanations, are presented.
Here you will find 200+ topic-specific printable 7th grade math worksheets. Each worksheet includes a variety of 7th grade math problems and a complete answer key so that students can check their work. Each worksheet can be downloaded as PDF file which can be shared online or by printing.
This is a comprehensive collection of free printable math worksheets for grade 7 and for pre-algebra, organized by topics such as expressions, integers, one-step equations, rational numbers, multi-step equations, inequalities, speed, time & distance, graphing, slope, ratios, proportions, percent, geometry, and pi. They are randomly generated, printable from your browser, and include the answer ...
7th grade. 9 units · 119 skills. Unit 1. Proportional relationships. Unit 2. Rates and percentages. ... Math; 7th grade; Unit 6: Expressions, equations, & inequalities. 1,800 possible mastery points. Mastered. Proficient. ... Interpret two-step equation word problems Get 3 of 4 questions to level up! Two-step equations word problems Get 3 of 4 ...
Unit test. Level up on all the skills in this unit and collect up to 2,000 Mastery points! Start Unit test. Geometric shapes are all around us. The world is built with them. In this series of tutorials and exercises you'll become familiar with Euclidean geometry and terms like scale drawings, parts of a circle, area, angles, and geometric figures.
7th Grade Math Problems. Welcome to Bytelearn, where 7th-grade math problems are created according to the Common Core State Standards! Our mission is to provide students with high-quality practice problems that align with their curriculum and help them succeed in math. At Bytelearn, we understand that practicing math can be challenging for some ...
Singapore Math 2 (A Grade 7 Algebra Word Problem from a Singapore text) Example: Mr. Rozario bought some apples and oranges. The ratio of the number of apples to the number of oranges are 2:5. He gave 3/4 of the apples to his sister and 34 oranges to his brother. The ratio of the number of apples to the number of oranges that he has now is 2:3.
Grade 7 - Module 1 - PROBLEM SOLVING | 2021-2022 GRADE 7 - MODULE 1 - PROBLEM SOLVING Additional real-world problems to use for SOLVE 1. On Thursday, the cafeteria served a choice of two main dishes. Students could choose spaghetti or chicken. A total of 480 students bought their lunch that day, and 35% of those students chose to have chicken.
Daily digital slides offer your remote or online learners the opportunity to build problem-solving skills in a structured format designed for success. Single slide per day prevents overwhelm or distraction; Organized with clear space to solve & answer; Engaging graphics, themed problems, & fun facts
Detailed solutions and full explanations to fractions and mixed numbers grade 7 problems are presented. Notes: 1 - In this page, fractions are written with diagonal bars. For example 5/8 is the fraction whose numerator is 5 and denominator is 8. 11 1/4 is a mixed number meaning 11 + 1/4. 2 - Do not use the calculator to solve the questions below.
Use Venn Diagrams to Solve Problems. Time. 7.158. /. Elapsed Time. Students learn about ratios, mixed properties, statistics and other seventh grade skills. Teachers incorporate the use of the scratchpad to give students a visual representation. Videos provide instant help for students who are struggling with their assignments. 7th Grade Math ...
to the surface of the water, use absolute value. Absolute value tells you how far each diver is from the surface of the. is 15 centimeters below the water, but Pat is only 12 centimeters above the water. So, Pat is closer to the. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade.
7th Grade Math Problems. In 7th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 7, every efforts has been made to introduce new concepts in a simple language, so that the child understands them easily. The difficulty level of the problems has ...
7th grade. 9 units · 119 skills. Unit 1. Proportional relationships. Unit 2. Rates and percentages. ... Worked example: Converting a fraction (7/8) to a decimal (Opens a modal) Fraction to decimal: 11/25 ... Solving percent problems (Opens a modal) Percent word problem: magic club
In conclusion, problem-solving skills are essential for success in 7th grade math. Analytical skills, critical and creative thinking, problem-solving strategies, persistence, communication skills, and mathematical knowledge are all important components of effective problem-solving. By developing these skills, students can approach math problems ...
Solution. Question 3 : From a rectangular sheet of tin, of size 100 cm by 80 cm, are cut four squares of side 10 cm from each corner. Find the area of the remaining sheet. (A) 2400 cm 2 (B) 3600 cm 2 (C) 7600 cm 2. Solution. Question 4 : If x = 2, y = 3 and z =-2 then find the value of 6x-7y + 4z. (A) 12 (B) -17 (C) -10.
Khan Academy's 100,000+ free practice questions give instant feedback, don't need to be graded, and don't require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...
‼️FIRST QUARTER‼️🟢 GRADE 7: SOLVING PROBLEMS USING VENN DIAGRAMGRADE 7 PLAYLISTFirst Quarter: https://tinyurl.com/yyzdequa Second Quarter: https://tinyurl.c...
When students participate in problem solving activities, it is important to ask guiding, not leading, questions. This provides students with the support necessary to move forward in their thinking and it provides teachers with a more in-depth understanding of student thinking. Selecting an initial question and then analyzing a student's ...
7th grade. 9 units · 119 skills. Unit 1. Proportional relationships. Unit 2. Rates and percentages. ... Math; 7th grade; Unit 1: Proportional relationships. 1,600 possible mastery points. Mastered. Proficient. Familiar. ... Worked example: Solving proportions (Opens a modal) Writing proportions example (Opens a modal) Proportion word problem ...
8th grade math problems: Math curriculum. 6th grade math problems and 7th grade math problems build the foundations for the 8th grade math curriculum. In 7th grade, students work with rational numbers and are introduced to simplifying algebraic expressions and solving algebraic equations.
Problem-solving Schools expand_more. What is the Problem-solving Schools initiative? Becoming a Problem-solving School; ... This problem looks at how one example of your choice can show something about the general structure of multiplication. problem Doubling Fives. Age. 5 to 7
58 Likes, TikTok video from cynde (@cyndethethrifty): "Solving Problems Involving Algebraic Expressions Grade 7 Math Quarter 2 Module 5 #math #maths #mathematics #mathtutorial #tagalogmath #grade7math #grade7mathematics #math7 #algebraicexpressions #solvingproblems #solvingproblem #problemsolving". Grade 7 Math Quarter 2 Module 5 | Solving Problems Involving Algebraic Expressions original ...