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## 11+ Maths Questions & Downloadable Worksheet

- July 12, 2022

## What is the 11 plus maths paper?

- What maths is covered in 11 plus past paper maths?
- How to prepare your kids for 11 plus maths questions?

11 plus exams test children on their maths , English , verbal reasoning, and non-verbal reasoning skills. Many students find the mathematics questions in the 11 plus past paper maths challenging as they are tricky and require strong reasoning and analytical skills.

So what exactly is an 11 plus maths exam ? What concepts does the syllabus cover? Let’s find out.

The eleven plus exam is an exam taken by students in the U.K. As the name suggests, it is usually administered to 10-11-year-olds during their final year of primary education.

Not all primary schools in the UK offer the 11+ but, if your child does take the exam, their result will determine which kind of secondary school they go to, either grammar school or comprehensive. What does this mean? Their scores on these exams are important.

Many children are known to struggle with the maths eleven plus exam. Maths is a daunting yet important subject to master for primary school children. If your child needs some extra support in maths, why not book a free trial lesson with one of our GoStudent tutors? They can create a personalised learning plan for your child to help them hit top marks.

We've also created some super valuable 11+ maths practice resources. Download your very own GoStudent maths practice paper and answer booklet right here:

## What maths is covered in 11 plus maths paper?

11 plus maths papers are primarily used to assess your child’s problem-solving and detail analysis skills. The questions are asked according to the national curriculum, which includes topics like:

## Fractions and decimals

Measurements, data handling.

Mean, mode, median and everything in between.

## How to prepare your kids for 11 plus maths questions

Here’s a list of things that you can do to help your child with their 11+ preparation:

## Start early

Develop their skills, using practice tests, use learning apps.

11 plus maths papers can be challenging and tricky. However, with solid preparation, your child can boost their chances of getting good marks.

## Get an 11+ tutor

IIf you want your kids to do well in this crucial exam, we recommend hiring an experienced 1:1 tutor .

GoStudent has a pool of experienced tutors who can guide your kids in their studies and prepare them for their 11 plus maths papers. Start with a free trial now and feel the GoStudent difference!

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## Year 11 maths

IXL offers hundreds of Year 11 maths skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, national curriculum, or standardized test.

- 1 Prime or composite
- 2 Identify rational and irrational numbers
- 3 Compare and order rational numbers
- 4 Write a recurring decimal as a fraction
- 5 Square roots
- 6 Estimate square roots
- 7 Cube roots
- 8 Estimate cube roots
- 9 Add, subtract, multiply and divide rational numbers
- 10 Evaluate numerical expressions involving rational numbers

## B. Percents

- 1 Percent of change
- 2 Percent of change: word problems
- 3 Percent of change: find the original amount word problems
- 4 Sale prices and VAT: find the original price
- 5 Multi-step problems with percents

## C. Expressions and properties

- 1 Properties of addition and multiplication
- 2 Distributive property
- 3 Write equivalent expressions using properties
- 4 Simplify variable expressions involving like terms and the distributive property
- 5 Identify equivalent linear expressions

## D. Solve equations

- 1 Solve one- and two-step linear equations
- 2 Solve advanced linear equations
- 3 Solve equations with variables on both sides
- 4 Solve equations: complete the solution
- 5 Find the number of solutions
- 6 Create equations with no solutions or infinitely many solutions
- 7 Solve linear equations: word problems
- 8 Solve linear equations: mixed review
- 9 Rearrange multi-variable equations

## E. Problem solving

- 1 Consecutive integer problems
- 2 Rate of travel: word problems
- 3 Weighted averages: word problems

## F. Single-variable inequalities

- 1 Solve one- and two-step linear inequalities
- 2 Graph solutions to one- and two-step linear inequalities
- 3 Solve advanced linear inequalities
- 4 Graph solutions to advanced linear inequalities
- 5 Graph compound inequalities
- 6 Write compound inequalities from graphs
- 7 Solve compound inequalities
- 8 Graph solutions to compound inequalities

## G. Relations and functions

- 1 Relations: convert between tables, graphs, mappings and lists of points
- 2 Domain and range of relations
- 3 Find values using function graphs
- 4 Identify independent and dependent variables
- 5 Identify functions
- 6 Evaluate a function
- 7 Complete a function table from a graph
- 8 Complete a function table from an equation
- 9 Find solutions using a table
- 10 Approximate solutions using a table
- 11 Interpret functions using everyday language
- 12 Rate of change: tables
- 13 Rate of change: graphs

## H. Direct and inverse variation

- 1 Identify proportional relationships
- 2 Find the constant of variation
- 3 Graph a proportional relationship
- 4 Write direct variation equations
- 5 Write and solve direct variation equations
- 6 Write inverse variation equations
- 7 Write and solve inverse variation equations
- 8 Identify direct variation and inverse variation

## I. Linear functions

- 1 Identify linear functions
- 2 Interpret points on the graph of a linear function
- 3 Find the gradient of a graph
- 4 Find the gradient from two points
- 5 Find a missing coordinate using gradient
- 6 Find the gradient and y-intercept of a linear equation
- 7 Graph an equation in y=mx+c form
- 8 Write an equation in y=mx+c form from a graph
- 9 Write an equation in y=mx+c form
- 10 Linear equations: solve for y
- 11 Write an equation in y=mx+c form from a table
- 12 Write an equation in y=mx+c form from a word problem
- 13 Write linear functions to solve word problems
- 14 Complete a table and graph a linear function
- 15 Compare linear functions: graphs, tables and equations
- 16 Find x- and y-intercepts for equations in ax + by = c form
- 17 Graph an equation in ax + by = c form
- 18 Equations of horizontal and vertical lines
- 19 Graph a horizontal or vertical line
- 20 Point-gradient form: graph an equation
- 21 Point-gradient form: write an equation
- 22 Point-gradient form: write an equation from a graph
- 23 Gradients of parallel lines
- 24 Gradients of perpendicular lines
- 25 Gradients of parallel and perpendicular lines
- 26 Write an equation for a parallel line
- 27 Write an equation for a perpendicular line
- 28 Write an equation for a parallel or perpendicular line
- 29 Transformations of linear functions

## J. Simultaneous equations

- 1 Is (x, y) a solution to the simultaneous equations?
- 2 Solve simultaneous equations by graphing
- 3 Solve simultaneous equations by graphing: word problems
- 4 Find the number of solutions to simultaneous equations by graphing
- 5 Find the number of solutions to simultaneous equations
- 6 Solve simultaneous equations using substitution
- 7 Solve simultaneous equations using substitution: word problems
- 8 Solve simultaneous equations using elimination
- 9 Solve simultaneous equations using elimination: word problems
- 10 Solve a system of equations using any method
- 11 Solve a system of equations using any method: word problems

## K. Linear inequalities

- 1 Does (x, y) satisfy the inequality?
- 2 Linear inequalities: solve for y
- 3 Graph a linear inequality in the coordinate plane
- 4 Linear inequalities: word problems
- 5 Is (x, y) a solution to the simultaneous inequalities?
- 6 Solve simultaneous linear inequalities by graphing
- 1 Indices review
- 2 Negative indices
- 3 Multiplication with indices
- 4 Division with indices
- 5 Multiplication and division with indices
- 6 Power rule
- 7 Evaluate expressions using properties of indices
- 8 Identify equivalent expressions involving indices

## M. Number sequences

- 1 Identify arithmetic and geometric sequences
- 2 Arithmetic sequences
- 3 Geometric sequences
- 4 Evaluate variable expressions for number sequences
- 5 Write variable expressions for arithmetic sequences
- 6 Write variable expressions for geometric sequences
- 7 Sequences of square and cube numbers
- 8 Fibonacci-type sequences
- 9 Number sequences: mixed review

## N. Standard form

- 1 Convert between ordinary numbers and standard form
- 2 Compare numbers written in standard form
- 3 Add and subtract numbers written in standard form
- 4 Multiply and divide numbers written in standard form

## O. Exponential functions

- 1 Evaluate an exponential function
- 2 Write exponential functions: word problems
- 3 Match exponential functions and graphs I
- 4 Match exponential functions and graphs II
- 5 Graph exponential functions
- 6 Domain and range of exponential functions
- 7 Exponential growth and decay: word problems
- 8 Compound interest

## P. Monomials

- 1 Identify monomials
- 2 Multiply monomials
- 3 Divide monomials
- 4 Multiply and divide monomials
- 5 Powers of monomials

## Q. Polynomials

- 1 Polynomial vocabulary
- 2 Model polynomials with algebra tiles
- 3 Add and subtract polynomials using algebra tiles
- 4 Add and subtract polynomials
- 5 Add polynomials to find perimeter
- 6 Multiply a polynomial by a monomial
- 7 Multiply two polynomials using algebra tiles
- 8 Multiply two binomials
- 9 Multiply two binomials: special cases
- 10 Multiply polynomials

## R. Factorising

- 1 HCF of monomials
- 2 Factorise out a monomial
- 3 Factorise quadratics using algebra tiles
- 4 Factorise quadratics with leading coefficient 1
- 5 Factorise quadratics with other leading coefficients
- 6 Factorise quadratics: special cases
- 7 Factorise by grouping
- 8 Factorise polynomials

## S. Quadratic equations and inequalities

- 1 Characteristics of quadratic functions: graphs
- 2 Characteristics of quadratic functions: equations
- 3 Complete a function table: quadratic functions
- 4 Match quadratic functions and graphs
- 5 Graph a quadratic function
- 6 Solve a quadratic equation using square roots
- 7 Solve a quadratic equation using the zero product property
- 8 Solve a quadratic equation with leading coefficient 1 by factorising
- 9 Solve a quadratic equation with other leading coefficients by factorising
- 10 Complete the square
- 11 Solve a quadratic equation by completing the square
- 12 Solve a quadratic equation using the quadratic formula
- 13 Solve simultaneous quadratic and linear equations by graphing
- 14 Solve simultaneous quadratic and linear equations
- 15 Graph solutions to quadratic inequalities
- 16 Solve quadratic inequalities

## T. Function types

- 1 Identify linear, quadratic and cubic functions from graphs
- 2 Identify linear, quadratic, cubic and exponential functions from graphs
- 3 Identify linear, quadratic and exponential functions from tables
- 4 Write linear, quadratic and exponential functions
- 5 Linear functions over unit intervals
- 6 Exponential functions over unit intervals
- 7 Describe linear and exponential growth and decay

## U. Function operations

- 1 Composition of linear functions: find a value
- 2 Composition of linear functions: find an equation
- 3 Composition of linear and quadratic functions: find a value
- 4 Composition of linear and quadratic functions: find an equation
- 5 Identify inverse functions
- 6 Find values of inverse functions from tables
- 7 Find values of inverse functions from graphs
- 8 Find inverse functions and relations

## V. Function transformations

- 1 Translation and reflection rules
- 2 Translations of functions
- 3 Reflections of functions
- 4 Translations and reflections of functions

## W. Radical expressions

- 1 Simplify radical expressions
- 2 Simplify radical expressions involving fractions
- 3 Multiply radical expressions
- 4 Add and subtract radical expressions
- 5 Simplify radical expressions using the distributive property
- 6 Simplify radical expressions using conjugates
- 7 Simplify radical expressions: mixed review

## X. Fractional indices

- 1 Evaluate fractional indices
- 2 Multiplication with fractional indices
- 3 Division with fractional indices
- 4 Power rule with fractional indices
- 5 Simplify expressions involving fractional indices I
- 6 Simplify expressions involving fractional indices II

## Y. Rational functions and expressions

- 1 Rational functions: asymptotes and excluded values
- 2 Simplify complex fractions
- 3 Simplify rational expressions
- 4 Multiply and divide rational expressions
- 5 Divide polynomials
- 6 Add and subtract rational expressions
- 7 Solve rational equations

## Z. Midpoints and distance

- 1 Midpoints
- 2 Distance between two points
- 3 Distance to the origin in three dimensions

## AA. Transformations

- 1 Identify translations, reflections and rotations
- 2 Translations: graph the image
- 3 Translations: find the coordinates
- 4 Translations: write the rule
- 5 Reflections: graph the image
- 6 Reflections: find the coordinates
- 7 Rotate polygons about a point
- 8 Rotations: graph the image
- 9 Rotations: find the coordinates
- 10 Describe transformations
- 11 Reflections and rotations: write the rule
- 12 Sequences of translations, reflections and rotations: graph the image
- • New! Sequences of congruence transformations: choose the sequence
- 13 Transformations that carry a polygon onto itself
- 14 Translations, reflections and rotations: mixed review
- 15 Dilations: graph the image
- 16 Dilations: find the coordinates
- 17 Dilations: find length, perimeter and area
- 18 Dilations: scale factor and classification
- 19 Dilations: find the scale factor and center of the dilation
- 20 Dilations and parallel lines

## BB. Congruence

- 1 Identify congruent figures
- 2 Congruence statements and corresponding parts
- 3 Solve problems involving corresponding parts
- • New! Determine if two figures are congruent: justify your answer
- 4 SSS and SAS Theorems
- 5 ASA and AAS Theorems
- 6 SSS, SAS, ASA and AAS Theorems
- 7 SSS Theorem in the coordinate plane
- 8 Congruency in isosceles and equilateral triangles
- 9 Hypotenuse-Leg Theorem

## CC. Similarity

- 1 Identify similar figures
- 2 Ratios in similar figures
- 3 Similarity statements
- 4 Side lengths and angle measures in similar figures
- 5 Similar triangles and indirect measurement
- 6 Perimeters of similar figures
- 7 Similarity rules for triangles
- 8 Similar triangles and transformations
- 9 Areas of similar figures

## DD. Right triangles

- 1 Pythagoras' Theorem
- 2 Pythagoras' theorem: word problems
- 3 Converse of Pythagoras' theorem
- 4 Pythagoras' Inequality Theorems
- 5 Special right triangles

## EE. Trigonometry

- 1 Trigonometric ratios: sin, cos and tan
- 2 Trigonometric ratios: csc, sec and cot
- 3 Find trigonometric functions of special angles: sin, cos and tan
- 4 Find trigonometric functions of special angles: csc, sec and cot
- 5 Find trigonometric functions using a calculator
- 6 Inverses of trigonometric functions
- 7 Trigonometric ratios: find a side length
- 8 Trigonometric ratios: find an angle measure
- 9 Solve a right triangle
- 10 Law of Sines
- 11 Law of Cosines
- 12 Solve a triangle
- 13 Area of a triangle: sine formula
- 14 Graph sine functions
- 15 Graph cosine functions
- 16 Graph sine and cosine functions

## FF. Perimeter and area

- 1 Perimeter
- 2 Area of triangles and quadrilaterals
- 3 Area and perimeter in the coordinate plane I
- 4 Area and perimeter in the coordinate plane II
- 5 Area and circumference of circles
- 6 Area of compound figures
- 7 Area between two shapes
- 8 Area and perimeter of similar figures

## GG. Three-dimensional figures

- 1 Parts of three-dimensional figures
- 2 Three-dimensional figure vocabulary
- 3 Front, side and top view
- 4 Base plans
- 5 Nets of three-dimensional figures
- 6 Cross-sections of three-dimensional figures
- 7 Solids of revolution

## HH. Surface area and volume

- 1 Surface area and volume of cuboids
- 2 Surface area of prisms and cylinders
- 3 Surface area of pyramids and cones
- 4 Surface area of spheres
- 5 Surface area: mixed review
- 6 Volume of prisms and cylinders
- 7 Volume of pyramids and cones
- 8 Volume of spheres
- 9 Volume of compound figures
- 10 Volume: mixed review
- 11 Similar solids
- 12 Surface area of similar solids
- 13 Volume of similar solids
- 14 Surface area and volume of similar solids

## II. Circles

- 1 Parts of a circle
- 2 Central angles
- 3 Understand arc length and sector area of a circle
- 4 Arc measure and arc length
- 5 Area of sectors
- 6 Circle measurements: mixed review
- 7 Arcs and chords
- 8 Tangent lines
- 9 Angles formed by chords, secants, and tangents
- 10 Segments formed by chords, secants, and tangents
- 11 Perimeter of polygons with an inscribed circle
- 12 Inscribed angles
- 13 Angles in inscribed right triangles
- 14 Angles in inscribed quadrilaterals I
- 15 Angles in inscribed quadrilaterals II
- 16 Write equations of circles centered at the origin from graphs
- 17 Write equations of circles centered at the origin from properties
- 18 Find properties of circles from equations
- 19 Graph circles centered at the origin

## JJ. Vectors

- 1 Compass directions and vectors
- 2 Find the magnitude of a vector
- 3 Find the component form of a vector
- 4 Find the component form of a vector given its magnitude and direction angle
- 5 Graph a resultant vector using the triangle method
- 6 Graph a resultant vector using the parallelogram method
- 7 Add vectors
- 8 Subtract vectors
- 9 Multiply a vector by a scalar
- 10 Find the magnitude of a vector scalar multiple
- 11 Determine the direction of a vector scalar multiple
- 12 Linear combinations of vectors

## KK. Measurement

- 1 Convert rates and measurements: metric units
- 2 Metric mixed units
- 3 Convert rates and measurements: imperial units
- 4 Imperial mixed units
- 5 Convert between metric and imperial units
- 6 Precision
- 7 Greatest possible error
- 8 Minimum and maximum area and volume
- 9 Percent error
- 10 Percent error: area and volume

## LL. Data and graphs

- 1 Interpret tables
- 2 Interpret line graphs
- 3 Create line graphs
- 4 Interpret bar graphs for grouped data
- 5 Create bar graphs for grouped data
- 6 Interpret pie charts
- 7 Interpret stem-and-leaf plots
- 8 Choose the best type of graph
- 9 Box plots

## MM. Statistics

- 1 Mean, median, mode and range
- 2 Quartiles and interquartile range
- 3 Variance and standard deviation
- 4 Describe distributions in line plots
- 5 Identify biased samples
- 6 Create scatter plots
- 7 Identify trends with scatter plots
- 8 Make predictions with scatter plots
- 9 Outliers in scatter plots
- 10 Write an equation for a line of best fit
- 11 Correlation and causation

## NN. Probability

- 1 Theoretical probability
- 2 Experimental probability
- 3 Make predictions
- 4 Compound events: find the number of outcomes
- 5 Probability of compound events
- 6 Find the number of outcomes: word problems
- 7 Find probabilities using two-way frequency tables
- 8 Identify independent and dependent events
- 9 Probability of independent and dependent events
- 10 Find conditional probabilities
- 11 Independence and conditional probability
- 12 Find conditional probabilities using two-way frequency tables
- 13 Geometric probability

Visual maths worksheets, each maths worksheet is differentiated and visual.

## GCSE Year 11 Maths Worksheets

Maths Worksheets / Year 11 Maths Worksheets for GCSE Studies

A superb range of maths worksheets for secondary school children in year 11 (aged 15-16). Cazoom Maths is a trusted provider of maths worksheets for secondary school children. Our mathematics resources are perfect for use in the classroom or for additional home learning. Cazoom maths year 11 maths worksheets are the ideal resource for students in their final year of secondary school study. Our maths worksheets are used by over 20,000 teachers, parents and schools around the world and we are a Times Educational Supplement recommended resource for helping key stage 3 and key stage 4 students learn mathematics.

## Get 30 of our favourite Maths worksheets in your inbox now!

Maths worksheets for year 11 students.

## Try some free sample year 11 maths worksheets

## Outstanding Year 11 Maths Worksheets

- Separate answers are included to make marking easy and quick.
- Over 300 pages of the highest quality year 11 maths worksheets.
- Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
- Single user licence for parents or teachers. Separate school licences are also available.
- Single digital pdf download, with worksheets organised into high level chapters of Algebra, Statistics, Number and Geometry, and further by subtopics. See below for the extensive range of sheets included.
- Free Scheme of Work included, showing all worksheets included in the download and the relevant GCSE grade and GCSE Tier.

## List of Topics

See below the list of topics covered. All our maths worksheets can be accessed here .

- Expanding Brackets
- Factorising
- Inequalities
- Linear Functions
- Quadratic and Cubic Functions
- Real Life Graphs
- Rearranging Equations
- Simplification
- Solving Equations
- Substitution
- Fractions Decimals Percentages
- Percentages
- Place Value
- Types of Number
- Area and Perimeter
- Bearings Scale and Loci
- Compound Measures
- Constructions
- Coordinates
- Lines and Angles
- Similarity and Congruence
- Transformations
- Trigonometry
- Units and Dimensions
- Volume and Surface Area
- Cumulative Frequency and Box Plots
- Histograms and Frequency Polygons
- Mean Median Mode
- Probability
- Surveys and Sampling

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## KS2 / 11+ / UKMT

Worksheets by topic.

Large collection of 11+ Maths worksheets. Each worksheet has exam style questions organised by topic and difficulty level (bronze, silver, gold, diamond and challenge) and include all possible types that come up on the 11 + maths entrance exams for top UK independent schools.

For word problems organised by topic click 11+ word problems

## Free samples:

Worksheets by topic :.

Total of 35

## Maths Revision and Resources For All Maths Courses

What are you waiting for? It's time to get started!

Simple, easy to understand Maths

## 11 Plus Maths Papers

The following papers have been written by our 11 Plus Maths tutors, all of whom are qualified teachers with experience of preparing students for entrance exams. They are free for anyone to use for non-commercial use. The papers are designed to reflect the various examination styles used and expected levels at 11+ Maths.

## 11 Plus Maths Papers - 7 papers available

11 + Maths Non calculator Paper 8

11 + Maths Non calculator Paper 9

11 Plus Maths Paper 1

11 Plus Maths Paper 2

11 Plus Maths Paper 3

11 Plus Maths Paper 4

11 Plus Maths Paper 5

## Our 11 Plus exam paper authors

## Sarah - Please add this tutor to your enquiry and complete the enquiry form to determine availability. ">Contact us for availability

7 Plus, 8 Plus & 11 Plus

Sarah is an upper primary teacher who specialises in online 11+ tuition for students in Years 4 , 5 and 6 (8- 11...

Sarah is an upper primary teacher who specialises in online 11+ tuition for students in Years 4 , 5 and 6 (8- 11 year old). Her speciality is preparing students for entry into competitive...

11 Plus, 13 Plus, Other School Entrance & Maths

Raj has a very strong Mathematical background having studied for degrees in Mathematics at Keele University (BA Hons) and Oxford University (MSc), and...

Raj has a very strong Mathematical background having studied for degrees in Mathematics at Keele University (BA Hons) and Oxford University (MSc), and has over 35 years teaching experience in...

7 Plus, 8 Plus, 11 Plus, 13 Plus, Other School Entrance & Maths

Gary joins Owl Tutors with 17 years teaching experience He has taught pupils aged between 8 to 13 years in both a classroom...

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Parent of 11 Plus student

## Are you looking for a tutor with specific school entrance experience?

Browse our school guide, 11 plus maths paper guide.

The 11 plus maths paper is a crucial part of the assessment process. These papers are challenging and test a wide range of mathematical concepts, as well as problem solving skills.

Most maths papers will start with simple one step questions such as 234 x 27 and write 7/8 as a decimal , before moving on to harder word and context based problems. Owl Tutors’ maths papers are designed to support your child’s familiarisation and practice of the mathematical topics in the 11 plus assessment.

Once completed, these papers will give you and/or your tutor a better understanding of the topics your child needs further help with.

## What skills are being tested in 11 Plus Maths Papers?

Firstly, depending on the school you are applying to, there are different assessment processes. For some schools your child will have to sit a multiple choice pretest (usually ISEB) and then sit another written maths paper, other schools just do one or the other. In any case all maths papers cover, in various degrees of difficulty, these six main areas:

- Properties of numbers, number problems and calculations: This includes, but is not limited to, the four operations, prime/squared/cubed numbers, HCF and LCM, sequences, divisibility rules and negative numbers.
- Fractions, decimals and percentages (FDP): FDP plays a big part in the 11 plus maths paper. In most papers there is a large proportion of questions that have a FDP element to them. Therefore, it is really important that your child is confident in converting between FDP, finding FDP of numbers, as well as applying these to word problems.
- Ratio: Again, ratio is a big part of most 11 plus maths papers. As well as being able to work out simple ratios, it is really important that your child can identify when to use ratios to solve more complex word problems.
- Algebra: Depending on the school you are applying to, your child may not get tested on algebra. However, basic equations do feature in some harder exams, and for schools such as St Pauls, Highgate and Latymer Upper there have been problem solving questions where you need to use simultaneous equations.
- Measurement: A seemingly simple topic. However, conversions can cause confusion and lead to silly mistakes and lost marks. Make sure your child is really confident converting between metric units, as well as knowing the conversion rates between feet/inches and cm/m.
- Shapes and space : These questions will test your child’s ability to work out area and perimeter of quadrilaterals, triangles, parallelograms and sometimes trapeziums, and the application of this knowledge to word problems.
- Data handling : For many children data handling is a welcome break from the other more intense topics. These questions involve reading data from charts, drawing bar charts and graphs, as well as using the four averages. From my experience many papers include ‘backwards mean’ questions, so be mindful that your child can find the mean , but can also find the missing number when given the mean .
- Problem solving : Problem solving can be tricky as there are no specific strategies to teach. Therefore, practice is really important. Often, the problem solving questions get recycled throughout exam papers over the years, so try and expose you child to as many practice papers as possible!

## How to use Owl Tutors’ Maths Papers

Owl Tutors’ maths practice papers will cover all of the above topics through a variety of different questions. These questions are designed to not only test your child’s ability to use a mathematical concept but to also:

- Develop your child’s confidence in applying these concepts to one and two step word problems.
- Within one question use multiple mathematical concepts such as using ratio, FDP and the four operations to solve more complex word problems.
- Develop your child’s abilities to problem solve.

If you are in the early stages of your 11 plus practice, I would suggest not to time your child for the first few papers. It is best to give your child space to familiarise themselves with the questions without the impending doom of a ticking clock which can cause rushing and mistakes. In the early stages, if your child needs to complete the paper in two goes, that’s fine.

Once they have finished their first few papers, then you or a tutor can mark it and find out where the gaps are. This is also a good time to see where your child makes most of their ‘silly mistakes’, so you can support them in checking their work.

Needless to say, it is important for your child to show their workings! Although easier said than done for some, there are allocated marks for the correct use of a mathematical strategy, even if there is a small error in the answer.

And finally, work up to timing your child. Once they have a few papers under their belt, then is the time to start adding a timeframe. Speed and accuracy are key, but it does not come overnight, so keep practising!

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## 11 Plus Maths Exam: Key Topics, Tips, and Practice Questions

Navigating the journey to secondary education in the UK often involves the challenging but pivotal 11 Plus exam . A significant component of this assessment is the 11 Plus Maths paper, a critical step in determining whether a child will secure a place in their desired grammar school. As parents or guardians, understanding the nuances of the 11 Plus Maths exam, from the key topics it covers to the types of questions that frequently appear, can greatly enhance your child’s preparation strategy.

In this blog post, we will demystify the 11 Plus Maths exam, shedding light on the breadth of mathematical knowledge required, the format of the exam, and the typical maths questions your child might encounter. We’ll also offer practical tips for preparing for the exam, illustrate how a tutor can make a significant difference, and provide some sample questions for your child to practice.

Whether you’re curious about the maths topics covered in the 11 Plus exam, seeking examples of past maths papers, or looking for ways to boost your child’s performance on hard questions, you’re in the right place. This comprehensive guide is here to support you and your child on the path to 11 Plus success.

Remember, the road to acing the 11 Plus Maths paper begins with understanding what lies ahead. So, let’s dive in!

## Understanding the 11 Plus Maths Exam

Embarking on the 11 Plus journey requires a firm understanding of the exam itself. For many students, the Maths section often seems formidable. Yet, with the right insight into the exam’s structure and content, you can guide your child to develop a solid footing.

The 11 Plus Maths exam aims to assess a child’s proficiency in numerical understanding and mathematical reasoning. It delves into a range of mathematical concepts that fall within the Key Stage 2 Maths curriculum. So, if your child has been paying attention in their maths lessons, they’re already on the right path!

The exact format of the maths test can vary from one region to another and from one school to the next. Some schools administer a separate multiple-choice maths test, while others combine English and maths questions into a single paper. The allotted time for the test may also differ, ranging from 30 minutes to an hour. In some cases, schools include numerical reasoning tests to evaluate a student’s ability to use critical thinking and analysis to solve problems.

It’s worth noting that the 11 Plus Maths exam doesn’t simply test rote memorization of facts. It’s designed to measure a student’s ability to apply their mathematical knowledge to solve problems. The exam includes a diverse set of questions that cover key areas such as numbers, fractions and decimals, geometry, measurements, data handling, and problem-solving.

To ensure your child’s preparation is spot on, it’s vital to visit the school’s website where your child will be taking the exam. This can provide you with detailed information about the specific test format and focus areas.

In the subsequent sections, we’ll delve deeper into the types of questions involved in the 11 Plus Maths exam, as well as proven strategies to help your child prepare effectively. From early preparation to the use of learning apps and the support of experienced tutors, we’ve got you covered. Stay tuned!

## Key Topics Covered in the 11 Plus Maths Exam

The 11 Plus maths exam may seem broad, but understanding the key areas of focus can help streamline your child’s preparation. The topics are grounded in the Key Stage 2 National Curriculum, providing an even playground for all students. Here’s an overview of the crucial topics that form the foundation of the 11 Plus Maths paper:

This covers a broad range of topics, from basic arithmetic operations such as addition, subtraction, multiplication, and division to more complex ideas like prime numbers, decimals, and the number line. Mastery of this topic allows students to perform quick calculations, an essential skill for time-based tests.

## Fractions and Decimals

This section is all about understanding and working with non-whole numbers. Students should be able to convert fractions to decimals and vice versa, perform operations with fractions and decimals, and solve problems involving these concepts.

This section encompasses geometry. Students are tested on their knowledge of different shapes, their properties, and their interrelationships. They may be asked to calculate areas, perimeters, or identify different types of angles.

## Measurements

This is another important aspect of the 11 Plus Maths exam. Students must understand how to calculate distances, use units of measurement appropriately, and apply their knowledge to solve practical problems.

## Data Handling

Here, students are expected to interpret and analyse data presented in various formats, such as tables, charts, and graphs. They need to understand concepts such as mean, median, mode, and range, and how to use these statistical measures to make sense of data.

These key topics aim to assess a student’s problem-solving skills and their ability to analyse and interpret information. Understanding these topics and focusing on their practice can provide a solid base for your child’s 11 Plus Maths preparation. However, the understanding of topics alone isn’t enough. Let’s dive into some effective strategies to hone your child’s problem-solving abilities and enhance their exam performance in the next section.

## Practical Tips for Excelling in the 11 Plus Maths Exam

As the 11 Plus maths exam approaches, children and parents may find themselves on a roller coaster ride of emotions, stress, and pressure. However, with a strategic approach and consistent effort, success is achievable. Here are some practical tips that can help your child excel in the 11 Plus Maths Exam.

## Start Early

The curriculum of the 11 Plus Maths Exam is built on the foundation of Key Stage 2 topics. Hence, an early start can ensure that the child grasps the basic concepts thoroughly, paving the way for a smoother preparation process.

## Skill Development

Maths isn’t just about numbers; it’s about logical reasoning, critical thinking, and problem-solving. Encourage your child to engage in activities that stimulate these skills, like puzzles, chess, Sudoku, and other brain games. This will make learning fun and interactive, boosting their enthusiasm for the subject.

## Regular Practice

There’s no substitute for regular practice when it comes to maths. Encourage your child to solve 11 Plus maths papers and answer hard 11+ questions regularly. The objective should be to understand different types of questions and improve speed and accuracy.

## Effective Time Management

The 11 Plus Maths exam is a timed test, and often, the challenge lies in solving questions accurately within the stipulated time. Regular timed practice can help your child become more comfortable with the pace of the exam.

## Use of Learning Apps

The digital world offers a plethora of learning resources. Leverage educational apps and online platforms that offer interactive 11+ maths questions and answers. These can provide a fun and engaging way to prepare for the exam.

## Get a Tutor

Sometimes, personalised guidance can make a significant difference. A tutor who is experienced in 11 Plus preparation can offer customised learning plans and address your child’s individual weaknesses, enhancing their understanding and confidence.

Maths | Chemistry | Biology Tutor

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## Regular Reviews

Regular reviews of the topics covered can help to ensure that your child retains the information. Use 11 Plus Maths paper examples with answers for this review, to help identify any gaps in knowledge or understanding.

Remember, the goal of the 11 Plus Maths Exam isn’t just to test mathematical knowledge, but also to assess a child’s ability to think critically and solve problems effectively. With careful preparation and the right guidance, your child can approach this exam with confidence and succeed.

## Sample 11 Plus Maths Questions and Answers

To provide you with a clearer understanding of the kind of questions your child might encounter in an 11 Plus Maths Exam, here are a few sample questions and their solutions. It’s important to remember that questions in the exam can range from straightforward arithmetic to more complex word problems that require a good understanding of various mathematical concepts.

## 1. Arithmetic Question:

Question: What is the result when you subtract 1234 from 4321?

Answer: The result is 3087.

## 2. Fractions and Decimals Question:

Question: If Sally has a pizza and she eats 0.25 of it, how much pizza does she have left?

Answer: Sally has 0.75 (or 3/4) of the pizza left.

## 3. Shapes and Geometry Question:

Question: If a rectangle has a length of 6 cm and a width of 4 cm, what is its area?

Answer: The area of a rectangle is calculated by multiplying its length by its width, so the area of this rectangle is 24 square cm.

## 4. Data Handling Question:

Question: The following are the test scores of a student: 78, 82, 85, 78, 80. What is the median score?

Answer: Arrange the numbers in order: 78, 78, 80, 82, 85. The median score is the one in the middle, which is 80.

## 5. Problem-solving Question:

Question: Sarah and Peter are collecting seashells. If Sarah collects 20 seashells and Peter collects three times as many seashells as Sarah, how many seashells do they have in total?

Answer: Peter collects 3 times 20 seashells, which is 60 seashells. Together, they collect 20 (Sarah’s seashells) + 60 (Peter’s seashells) = 80 seashells.

These examples give a glimpse of the kind of 11 Plus maths questions your child will encounter. However, the actual exam will include a wider variety of problems. Regular practice with different types of questions will equip your child with the skills they need to tackle the exam confidently.

## The Role of Tutoring in 11 Plus Maths Exam Preparation

When preparing for the 11 Plus Maths Exam, having an experienced, knowledgeable tutor can be a game-changer. A tutor not only guides students through complex mathematical concepts but also provides strategies for problem-solving, builds confidence, and offers personalised attention that can dramatically improve a student’s performance.

Edumentors, a growing online tutoring platform, stands out in this regard. Edumentors boasts a talented pool of tutors who are students from top UK universities such as Cambridge, Oxford, UCL, and Warwick. These tutors have not only been through rigorous academic experiences themselves but also understand the unique demands of the 11 Plus Maths Exam. They have successfully navigated these challenges and are equipped to guide your child on their educational journey.

One significant advantage of choosing an Edumentors tutor is their close age to the students. Being nearer in age, these tutors can relate better to your child’s experiences and challenges, making them not just teachers, but friends and role models. Their relatability creates a comfortable learning environment where students feel free to ask questions and express difficulties, facilitating a more effective learning process.

Remember, the goal of tutoring isn’t simply to learn to answer questions correctly but to develop a deep understanding of the subject matter. The right tutor can inspire a lifelong love for maths in your child, beyond the 11 Plus Maths Exam.

Choosing a tutor from Edumentors can help turn the daunting task of preparing for the 11 Plus Maths Exam into an enjoyable and rewarding learning experience. Start today and see the difference that a dedicated, relatable tutor can make in your child’s 11 Plus preparation journey.

Preparing for the 11 Plus Maths Exam is indeed a significant milestone in your child’s educational journey. It requires consistent practice, strategic studying, and a deep understanding of complex mathematical concepts. However, beyond the exam lies the real reward – the development of critical thinking skills, analytical capabilities, and a solid maths foundation that will serve your child well into their academic future and beyond.

It’s essential to remember that every student’s journey is unique, and so is their learning process. What works for one might not work for another. That’s why it’s so crucial to foster a love of learning and curiosity that will drive your child to explore, question, and grow.

If you find your child struggling or if you simply want to give them an extra push towards achieving their academic goals, remember that help is just a few clicks away. Edumentors, a renowned online tutoring platform, can be the support your child needs.

The 11+ tutors at Edumentors , all students at top UK universities, have faced similar challenges and emerged victorious. They understand what it takes to excel in exams like the 11 Plus Maths Exam and are ready to share their strategies and insights with your child. More than just tutors, they serve as friends and role models, inspiring students to aim high and boost their confidence.

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## Year 11 maths

IXL offers hundreds of year 11 maths skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, territory curriculum, or standardized test.

## A. Consumer maths

- 1 Simple interest
- 2 Compound interest: word problems
- 3 Continuously compounded interest
- 4 Percent of a number: GST, discount and more
- 5 Find the percent: discount and mark-up
- 6 Multi-step problems with percents

## B. Scientific notation

- 1 Convert between standard and scientific notation
- 2 Compare numbers written in scientific notation
- 3 Multiply numbers written in scientific notation
- 4 Divide numbers written in scientific notation

## C. Equations and inequalities

- 1 Solve linear equations
- 2 Solve linear equations: word problems
- 3 Graph a linear inequality in one variable
- 4 Graph a linear inequality in the coordinate plane
- 5 Write inequalities from graphs
- 6 Write a linear inequality: word problems
- 7 Solve linear inequalities
- 8 Graph solutions to linear inequalities
- 9 Solve absolute value equations
- 10 Graph solutions to quadratic inequalities
- 11 Solve quadratic inequalities

## D. Simultaneous equations

- 1 Is (x, y) a solution to the simultaneous equations?
- 2 Solve simultaneous equations by graphing
- 3 Solve simultaneous equations by graphing: word problems
- 4 Find the number of solutions to simultaneous equations
- 5 Solve simultaneous equations using substitution
- 6 Solve simultaneous equations using substitution: word problems
- 7 Solve simultaneous equations using elimination
- 8 Solve simultaneous equations using elimination: word problems
- 9 Solve simultaneous equations using any method
- 10 Solve simultaneous equations using any method: word problems

## E. Inequalities and linear programming

- 1 Is (x, y) a solution to the system of inequalities?
- 2 Solve systems of inequalities by graphing
- 3 Find the vertices of a solution set
- 4 Linear programming

## F. Coordinate plane

- 1 Coordinate plane review
- 2 Midpoints
- 3 Distance between two points

## G. Functions

- 1 Domain and range
- 2 Identify functions
- 3 Evaluate functions
- 4 Find values using function graphs
- 5 Complete a table for a function graph
- 6 Find the gradient of a linear function
- 7 Graph a linear function
- 8 Write the equation of a linear function
- 9 Linear functions over unit intervals

## H. Direct variation

- 1 Identify proportional relationships
- 2 Find the constant of variation
- 3 Graph a proportional relationship
- 4 Write direct variation equations
- 5 Write and solve direct variation equations

## I. Matrices

- 1 Matrix vocabulary
- 2 Matrix operation rules
- 3 Add and subtract matrices
- 4 Multiply a matrix by a scalar
- 5 Linear combinations of matrices
- 6 Multiply two matrices
- 7 Simplify matrix expressions
- 8 Properties of matrices
- 9 Solve matrix equations
- 10 Determinant of a matrix
- 11 Is a matrix invertible?
- 12 Inverse of a matrix
- 13 Identify inverse matrices
- 14 Solve matrix equations using inverses

## J. Complex numbers

- 1 Introduction to complex numbers
- 2 Add and subtract complex numbers
- 3 Complex conjugates
- 4 Multiply complex numbers
- 5 Divide complex numbers
- 6 Add, subtract, multiply and divide complex numbers
- 7 Absolute values of complex numbers
- 8 Powers of i

## K. Factorising

- 1 Factorise out a monomial
- 2 Factorise quadratics
- 3 Factorise quadratics using algebra tiles
- 4 Factorise using a quadratic pattern
- 5 Factorise by grouping
- 6 Factorise sums and differences of cubes
- 7 Factorise polynomials

## L. Quadratic functions

- 1 Characteristics of quadratic functions
- 2 Complete a function table: quadratic functions
- 3 Transformations of quadratic functions
- 4 Find a quadratic function
- 5 Graph a quadratic function
- 6 Match quadratic functions and graphs
- 7 Solve a quadratic equation using square roots
- 8 Solve a quadratic equation using the zero product property
- 9 Solve a quadratic equation by factorising
- 10 Complete the square
- 11 Solve a quadratic equation using the quadratic formula
- 12 Using the discriminant

## M. Polynomials

- 1 Polynomial vocabulary
- 2 Add and subtract polynomials
- 3 Multiply polynomials
- 4 Divide polynomials using long division
- 5 Divide polynomials using synthetic division
- 6 Evaluate polynomials using synthetic division
- 7 Write a polynomial from its roots
- 8 Find the roots of factorised polynomials
- 9 Complex conjugate theorem
- 10 Conjugate roots
- 11 Descartes' Rule of Signs
- 12 Fundamental Theorem of Algebra
- 13 Match polynomials and graphs

## N. Radical functions and expressions

- 1 Roots of integers
- 2 Roots of rational numbers
- 3 Find roots using a calculator
- 4 Nth roots
- 5 Simplify radical expressions with variables I
- 6 Simplify radical expressions with variables II
- 7 Multiply radical expressions
- 8 Divide radical expressions
- 9 Add and subtract radical expressions
- 10 Simplify radical expressions using the distributive property
- 11 Simplify radical expressions using conjugates
- 12 Domain and range of radical functions
- 13 Solve radical equations

## O. Rational exponents

- 1 Evaluate rational exponents
- 2 Multiplication with rational exponents
- 3 Division with rational exponents
- 4 Power rule
- 5 Simplify expressions involving rational exponents I
- 6 Simplify expressions involving rational exponents II

## P. Rational functions and expressions

- 1 Rational functions: asymptotes and excluded values
- 2 Evaluate rational expressions I
- 3 Evaluate rational expressions II
- 4 Simplify rational expressions
- 5 Multiply and divide rational expressions
- 6 Add and subtract rational expressions
- 7 Solve rational equations

## Q. Logarithms

- 1 Convert between exponential and logarithmic form: rational bases
- 2 Evaluate logarithms
- 3 Change of base formula
- 4 Identify properties of logarithms
- 5 Product property of logarithms
- 6 Quotient property of logarithms
- 7 Power property of logarithms
- 8 Properties of logarithms: mixed review
- 9 Evaluate logarithms: mixed review

## R. Exponential and logarithmic functions

- 1 Domain and range of exponential and logarithmic functions
- 2 Evaluate exponential functions
- 3 Match exponential functions and graphs
- 4 Solve exponential equations by rewriting the base
- 5 Solve exponential equations using common logarithms
- 6 Solve logarithmic equations I
- 7 Solve logarithmic equations II
- 8 Identify linear and exponential functions
- 9 Exponential functions over unit intervals
- 10 Describe linear and exponential growth and decay
- 11 Exponential growth and decay: word problems

## S. Parabolas

- 1 Identify the direction a parabola opens
- 2 Find the vertex of a parabola
- 3 Find the focus or directrix of a parabola
- 4 Find the axis of symmetry of a parabola
- 5 Write equations of parabolas in vertex form from graphs
- 6 Write equations of parabolas in vertex form using properties
- 7 Convert equations of parabolas from general to vertex form
- 8 Find properties of a parabola from equations in general form
- 9 Graph parabolas

## T. Hyperbolas

- 1 Find the centre of a hyperbola
- 2 Find the vertices of a hyperbola
- 3 Find the length of the transverse or conjugate axes of a hyperbola
- 4 Find the equations for the asymptotes of a hyperbola
- 5 Find the foci of a hyperbola
- 6 Write equations of hyperbolas in standard form from graphs
- 7 Write equations of hyperbolas in standard form using properties
- 8 Convert equations of hyperbolas from general to standard form
- 9 Find properties of hyperbolas from equations in general form

## U. Angle measures

- 1 Convert between radians and degrees
- 2 Radians and arc length
- 3 Quadrants
- 4 Graphs of angles
- 5 Coterminal angles
- 6 Reference angles

## V. Trigonometry

- 1 Pythagoras' Theorem and its converse
- 2 Special right triangles
- 3 Trigonometric ratios: sin, cos and tan
- 4 Trigonometric ratios: csc, sec and cot
- 5 Trigonometric ratios in similar right triangles
- 6 Find trigonometric ratios using the unit circle
- 7 Sin, cos and tan of special angles
- 8 Csc, sec and cot of special angles
- 9 Find trigonometric functions using a calculator
- 10 Inverses of sin, cos and tan
- 11 Inverses of csc, sec and cot
- 12 Solve trigonometric equations I
- 13 Solve trigonometric equations II
- 14 Trigonometric ratios: find a side length
- 15 Trigonometric ratios: find an angle measure
- 16 Solve a right triangle
- 17 Law of Sines
- 18 Law of Cosines
- 19 Solve a triangle
- 20 Area of a triangle: sine formula
- 21 Area of a triangle: Law of Sines

## W. Trigonometric functions

- 1 Find properties of sine functions
- 2 Write equations of sine functions from graphs
- 3 Write equations of sine functions using properties
- 4 Graph sine functions
- 5 Find properties of cosine functions
- 6 Write equations of cosine functions from graphs
- 7 Write equations of cosine functions using properties
- 8 Graph cosine functions
- 9 Graph sine and cosine functions

## X. Trigonometric identities

- 1 Complementary angle identities
- 2 Symmetry and periodicity of trigonometric functions
- 3 Find trigonometric ratios using a Pythagorean or reciprocal identity
- 4 Find trigonometric ratios using multiple identities
- 5 Trigonometric sum and difference identities

## Y. Area and perimeter

- 1 Perimeter and circumference
- 2 Area of polygons and circles
- 3 Area and perimeter in the coordinate plane

## Z. Surface area and volume

- 1 Introduction to surface area and volume
- 2 Surface area of prisms and cylinders
- 3 Surface area of pyramids and cones
- 4 Volume of prisms and cylinders
- 5 Volume of pyramids and cones
- 6 Surface area and volume of spheres
- 7 Introduction to similar solids
- 8 Surface area and volume of similar solids
- 9 Surface area and volume review

## AA. Quadrilaterals

- 1 Classify quadrilaterals
- 2 Graph quadrilaterals
- 3 Properties of parallelograms
- 4 Proving a quadrilateral is a parallelogram
- 5 Properties of rhombuses
- 6 Properties of squares and rectangles
- 7 Properties of trapeziums
- 8 Properties of kites
- 9 Review: properties of quadrilaterals

## BB. Similarity

- 1 Similarity ratios and statements
- 2 Side lengths and angle measures in similar figures
- 3 Perimeters of similar figures
- 4 Areas of similar figures
- 5 Similar triangles and similarity transformations
- 6 Similarity of circles

## CC. Circles

- 1 Parts of a circle
- 2 Central angles
- 3 Arc measure and arc length
- 4 Area of sectors
- 5 Circle measurements: mixed review
- 6 Arcs and chords
- 7 Tangent lines
- 8 Perimeter of polygons with an inscribed circle
- 9 Inscribed angles
- 10 Angles in inscribed right triangles
- 11 Angles in inscribed quadrilaterals

## DD. Circles in the coordinate plane

- 1 Find the centre of a circle
- 2 Find the radius or diameter of a circle
- 3 Write equations of circles in standard form from graphs
- 4 Write equations of circles in standard form using properties
- 5 Convert equations of circles from general to standard form
- 6 Find properties of circles from equations in general form
- 7 Graph circles
- 1 Identify hypotheses and conclusions
- 2 Counterexamples
- 3 Truth tables
- 4 Truth values
- 5 Conditionals
- 6 Negations
- 7 Converses, inverses and contrapositives
- 8 Biconditionals

## FF. Sequences and series

- 1 Classify formulas and sequences
- 2 Find terms of an arithmetic sequence
- 3 Find terms of a geometric sequence
- 4 Find terms of a recursive sequence
- 5 Evaluate formulas for sequences
- 6 Write a formula for an arithmetic sequence
- 7 Write a formula for a geometric sequence
- 8 Write a formula for a recursive sequence
- 9 Sequences: mixed review
- 10 Introduction to sigma notation
- 11 Identify arithmetic and geometric series
- 12 Find the sum of a finite arithmetic or geometric series
- 13 Introduction to partial sums
- 14 Partial sums of arithmetic series
- 15 Partial sums of geometric series
- 16 Partial sums: mixed review
- 17 Convergent and divergent geometric series
- 18 Find the value of an infinite geometric series
- 19 Write a repeating decimal as a fraction

## GG. Probability

- 1 Introduction to probability
- 2 Theoretical and experimental probability
- 3 Compound events: find the number of outcomes
- 4 Calculate probabilities of events
- 5 Factorials
- 6 Permutations
- 7 Counting principle
- 8 Permutation and combination notation
- 9 Find probabilities using permutations and combinations
- 10 Find probabilities using two-way frequency tables
- 11 Identify independent events
- 12 Probability of independent and dependent events
- 13 Geometric probability
- 14 Find conditional probabilities
- 15 Independence and conditional probability
- 16 Find conditional probabilities using two-way frequency tables
- 17 Find probabilities using the addition rule
- 18 Find probabilities using the normal distribution

## HH. Statistics

- 1 Mean, median, mode and range
- 2 Quartiles
- 3 Identify biased samples
- 4 Mean absolute deviation
- 5 Variance and standard deviation

## II. Introduction to limits

- 1 Find limits using graphs
- 2 Find one-sided limits using graphs
- 3 Determine if a limit exists

## JJ. Calculate limits

- 1 Find limits using addition, subtraction and multiplication laws
- 2 Find limits using the division law
- 3 Find limits using power and root laws
- 4 Find limits using limit laws
- 5 Find limits of polynomials and rational functions
- 6 Find limits involving factorisation and rationalisation
- 7 Find limits involving absolute value functions
- 8 Find limits involving trigonometric functions

## KK. Limits and rational functions

- 1 Find limits at vertical asymptotes using graphs
- 2 Determine end behaviour using graphs
- 3 Determine end behaviour of polynomial and rational functions
- 4 Find the limit at a vertical asymptote of a rational function I
- 5 Find the limit at a vertical asymptote of a rational function II

## LL. Continuity

- 1 Identify graphs of continuous functions
- 2 Determine continuity using graphs
- 3 Determine one-sided continuity using graphs
- 4 Find and analyse points of discontinuity using graphs
- 5 Determine continuity on an interval using graphs
- 6 Determine the continuity of a piecewise function at a point
- 7 Make a piecewise function continuous
- 8 Intermediate Value Theorem

## MM. Introduction to derivatives

- 1 Average rate of change I
- 2 Average rate of change II
- 3 Find instantaneous rates of change
- 4 Velocity as a rate of change
- 5 Find values of derivatives using limits
- 6 Find the gradient of a tangent line using limits
- 7 Find equations of tangent lines using limits
- 8 Sum and difference rules
- 9 Power rule I
- 10 Power rule II
- 11 Find derivatives of polynomials

The complete guide to preparing for the 11 Plus

- What is the Eleven Plus?
- A parent’s guide to coping with the 11 plus
- On the day of the test
- Results Day
- 11 Plus General Tips
- CEM 11 Plus
- Standardised Scores
- Planning an 11+ Campaign
- Preparation in Year 3 & Year 4
- Preparation in Year 5
- Emergency! Preparation for Late Starters
- 11 Plus Practice Materials
- Free 11 Plus Practice Papers
- What’s new in 11 Plus?
- Verbal Reasoning
- Non-Verbal Reasoning
- Mathematics
- Practice Online
- When to Start Tutoring
- Finding a Tutor
- Choosing the Right Type of Tutoring
- Selecting the Right Tutor
- Problems with a Tutor
- Eleven Plus Exams Tuition Centre
- General Points
- Non Qualification
- Oversubscribed School
- Ombudsman and ESFA
- Miscellaneous
- Abbreviations

The lowdown on the requirements of different schools and areas

- Choosing a School
- Admission Policies and Rules
- Glossary of Admission Terms
- Open Day & School Visit Questions
- CAF - The School Application Form
- Equal Preference System
- School League Tables
- Independent Schools
- Partially Selective Schools
- Grammar Schools
- Grammar to Academy Status
- Birmingham & Walsall
- Buckinghamshire
- Hertfordshire
- Lancashire & Cumbria
- Lincolnshire
- Wolverhampton & Wrekin

Everything you need to succeed at the 11 Plus More about our Services

## Free Eleven Plus Mathematics Papers

Welcome to our selection of free 11 plus Maths practice papers! Whether your child is a math whiz or could use some extra practice, these papers are a great resource to help them prepare for the 11 plus exam. From arithmetic and algebra to geometry and problem-solving, these papers cover a range of topics and will give your child the opportunity to improve their math skills and confidence.

## Bond 11 Plus Maths Paper

Bond 11 Plus practice books aim to support children’s learning with wide-ranging practice, backed by straightforward and reliable teaching.

This is a full length maths practice test .

## Dynamite Maths Practice Paper

Dynamite Educational Publishers have produced practice material for the preparation of the 11 plus in Verbal Reasoning and Mathematics.

This is a 25 minute maths practice test with answers included.

## IPS 11 Plus Maths Practice Paper

All IPS materials are created by fully qualified educational professionals. These papers can be completed in standard format or with multiple choice answer sheets.

This is a sample mathematics paper from IPS Publishing with answers included.

## Lessons in the Post: Maths 11 Plus – How to do Average

Lessons in the Post provides a work programme for any child between 7 and 11 by post. The 11 plus programme begins a year before the child’s exam dates. The 11 Plus Foundation Course begins 4 months before the 11 Plus Programme.

This is an averages exercise.

## Lessons in the Post: Maths 11 Plus – Mathematical Reasoning

This is a mathematical reasoning exercise.

## MW Educational Maths Paper

MW Educational’s A-Plus Series of Secondary School entrance practice papers are designed to give children a foretaste of the types of questions they may face in their 11 plus exams. This is a 20 minute mathematics practice test with answers included.

## CGP 11 Plus Maths Paper

The CGP 11 plus range has everything children (and parents) need for success, with a friendly approach that helps to build skills without building anxiety. This is a full length mathematics practice test with answers included.

## CGP 11 Plus Maths Answer Sheet

The CGP 11 plus range has everything children (and parents) need for success, with a friendly approach that helps to build skills without building anxiety. This is a sample answer sheet, to be used alongside the CGP 11 Plus mathematics practice paper.

## CGP 11 Plus Maths Answers

The CGP 11 plus range has everything children (and parents) need for success, with a friendly approach that helps to build skills without building anxiety. This is an answer key to be used with the CGP 11 Plus mathematics practice paper.

## Mathematics Revision Aid 1

A helpful reference sheet for multiplication , squared and cubed numbers and units of measurement .

## Mathematics Revision Aid 2

A helpful reference sheet for fractions , decimals and percentages .

## Mathematics Revision Aid 3

A reference sheet for useful definitions and mathematical terminology.

## Mathematics Revision Aid 4

## Mathematics Revision Aid 5

A reference sheet for useful definitions and mathematical terminology, including BODMAS , signs and shapes .

## Mathematics Revision Aid 6

A reference sheet for useful definitions and mathematical terminology, including lengths , money , area and time .

## Mathematics Revision Aid 7

A reference sheet for visualising fractions .

## Mathematics Revision Aid 8

A reference sheet for decimal numbers and coordinates

## Mathematics Revision Aid 9

A reference sheet for the areas of plane shapes .

## Mathematics Revision Aid 10

A visual reference of common regular polygons encountered in the 11 plus.

## Mathematics Revision Aid 11

A visual reference of common triangles encountered in the 11 plus.

## Mathematics Revision Aid 12

A reference sheet for pythagorean triples and prime numbers .

- Free Eleven Plus Verbal Reasoning Papers
- Free Eleven Plus Non-Verbal Reasoning Papers

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## Year 11 Maths Worksheets

Year 11 maths worksheets motivate students towards conceptual learning. They provide topic-specific worksheets which are helpful for the students to work on math problems. For example, if they feel confident with the concept of quadratic functions, then can pick up the same topic from the table below and test their understanding of the concept by themselves.

These year 11 maths concepts focus on the important topics of the year 11 maths curriculum such as exponent rules, percentage change, inequalities, functions, surface area, volume, probability, etc. In each of these topics, questions ranging from simple to difficult are provided that would keep the student engaged while solving the worksheets.

## Year 11 Maths Worksheets PDFs

Here are links to year 11 maths worksheets arranged topic-wise. These are curated by experts who create questions ranging from simple to difficult to provide the overall experience.

## Benefits of Year 11 Maths Worksheets

There are various benefits for year 11 students by solving maths worksheets. By working on these worksheets, their critical thinking is developed as every problem needs to be solved independently. Further, students can get rid of their fear with respect to maths. These worksheets have questions from simple to difficult so that the student can gradually increase the depth of their knowledge of maths concepts. Since these are in PDF format, the student can download and work in paper-pen mode.

## How to Use Year 11 Maths Worksheets?

Using year 11 maths worksheets is as easy as a click. Just choose a topic, and click on the relevant link from the above table of links. This will take us to a new page with a list of 2-4 worksheets. Right away click on the worksheet to download the worksheet PDF. It is suggested to start with worksheet 1 first and then go to the subsequent worksheets.

## FAQs on Year 11 Maths Worksheets

What are year 11 maths worksheets.

The year 11 maths worksheets are PDFs with practice problems related year 11 maths curriculum . These worksheets are arranged topic-wise and thus help the students to work on them once they are good with a specific topic. These worksheets are curated such that they increase the knowledge of students gradually and do not overwhelm them.

## Where Can We Get Year 11 Maths Worksheets?

The worksheets of year 11 maths can be found on this page itself. Scroll up, there is a table where the topics are linked to worksheets. By clicking on the topics, a page with links to worksheets will be shown. These worksheets are downloadable PDFs.

## What Topics Do Year 11 Maths Worksheets Cover?

Year 11 maths worksheets cover important topics of year 11 maths such as rational numbers , square roots and cube roots , exponent rules, percentage change, compound inequalities , sequences, polynomials , different types of functions such as linear functions, quadratic functions, exponential functions, etc and a lot more.

## Do Year 11 Maths Worksheets Have Answers in Them?

Yes, the year 11 maths worksheets have answers included in them. The answers are available on the last page of the PDF which are helpful for the students to check the answers and identify their topics of weakness.

## Are Year 11 Maths Worksheets Useful for Competetive Exams?

Yes, year 11 maths worksheets are very helpful for competitive exams as they provide application-based questions as well. It has visualized content as well wherever necessary in order to provide visualized learning for students.

## Free 11+ Maths Practice Papers

A complete list of 11 plus maths practice papers.

Below is the most complete and up-to-date list of all free 11 Plus Maths practice papers available on the internet. All of these 11+ Maths practice papers are in pdf format and we have provided the answers where possible.

Click here to access our FREE 11+ Maths Mock Test designed for Year 5 students preparing for 11+ Grammar & Independent School exams.

*Bookmark this page for future reference*

## Table of Contents

11 plus maths practice papers - private/independent school.

Aldenham School

- Aldenham School 11 Plus Maths Sample Paper 2015
- Aldenham School 11 Plus Maths Sample Paper 2017
- Aldenham School 11 Plus Maths Sample Paper 2019
- Aldenham School 11 Plus Maths Sample Paper 2022
- Aldenham School 11 Plus Maths Sample Paper 2023

Alleyn’s School

- Alleyn’s 11 Plus Maths Sample Paper 1
- Alleyn’s 11 Plus Maths Sample Paper 2

Bancroft’s School

- Bancroft’s School 11 Plus Maths Sample Paper 2013
- Bancroft’s School 11 Plus Maths Sample Paper 2016
- Bancroft’s School 11 Plus Maths Sample Paper 2017
- Bancroft’s School 11 Plus Maths Sample Paper 2020
- Bancroft’s School 11 Plus Maths Sample Paper 2022

Blackheath High School

- Blackheath High School 11 Plus Maths Sample Paper 2022

Chigwell School

- Chigwell School 11 Plus Maths Specimen Paper 2020
- Chigwell School 11 Plus Maths Specimen Paper 2020 – Mark Scheme

Christ’s Hospital School

- Christ’s Hospital School 11 Plus Maths Paper 2014

City of London School

- City of London School 11 Plus Maths Specimen Paper
- City of London School 11 Plus Maths Paper 2018

City of London School for Girls

- City of London School for Girls 11 Plus Maths Sample Paper
- City of London School for Girls 11 Plus Maths Paper 2021

Colfe’s School

- Colfe’s School 11 Plus Maths Sample Paper

Dulwich College

- Dulwich College 11 Plus Maths Specimen Paper A
- Dulwich College 11 Plus Maths Specimen Paper A – Mark Scheme
- Dulwich College 11 Plus Maths Specimen Paper B
- Dulwich College 11 Plus Maths Specimen Paper B – Mark Scheme
- Dulwich College 11 Plus Maths Specimen Paper C
- Dulwich College 11 Plus Maths Specimen Paper C – Mark Scheme
- Dulwich College 11 Plus Maths Specimen Paper D
- Dulwich College 11 Plus Maths Specimen Paper D – Mark Scheme
- Dulwich College 11 Plus Maths Specimen Paper E
- Dulwich College 11 Plus Maths Specimen Paper E – Mark Scheme
- Dulwich College 11 Plus Maths Specimen Paper F
- Dulwich College 11 Plus Maths Specimen Paper F – Mark Scheme
- Dulwich College 11 Plus Maths Specimen Paper 1
- Dulwich College 11 Plus Maths Specimen Paper 1 – Mark Scheme
- Dulwich College 11 Plus Maths Specimen Paper 2

Eltham College

- Eltham College 11 Plus Maths Sample Paper 2019
- Eltham College 11 Plus Maths Sample Paper 2019 – Mark Scheme
- Eltham College 11 Plus Maths Sample Paper 2020
- Eltham College 11 Plus Maths Sample Paper 2022
- Eltham College 11 Plus Maths Sample Paper

Emmanuel School

- Emmanuel School 11 Plus Maths Sample Paper 2013
- Emmanuel School 11 Plus Maths Entrance Exam A
- Emmanuel School 11 Plus Maths Entrance Exam B

Forest School

- Forest School 11 Plus Maths Sample Paper 2016
- Forest School 11 Plus Maths Sample Paper 2020

Haberdashers’ Boys’ School

- Haberdashers’ Boys’ School 11 Plus Maths Sample Paper 2009
- Haberdashers’ Boys’ School 11 Plus Maths Sample Paper 2010
- Haberdashers’ Boys’ School 11 Plus Maths Sample Paper 2011
- Haberdashers’ Boys’ School 11 Plus Maths Sample Paper 2014
- Haberdashers’ Boys’ School 11 Plus Maths Sample Paper 2016
- Haberdashers’ Boys’ School 11 Plus Maths Sample Paper 2017

Hampton Court House

- Hampton Court House 11 Plus Maths Sample Paper 1
- Hampton Court House 11 Plus Maths Sample Paper 2

Highgate School

- Highgate School 11 Plus Maths Sample Paper 2013
- Highgate School 11 Plus Maths Sample Paper A
- Highgate School 11 Plus Maths Sample Paper A – Mark Scheme
- Highgate School 11 Plus Maths Sample Paper B
- Highgate School 11 Plus Maths Sample Paper C

James Allen’s Girls’ School

- James Allen’s Girls’ School 11 Plus Maths Sample Paper 1
- James Allen’s Girls’ School 11 Plus Maths Sample Paper 2

Kent College

- Kent College 11 Plus Maths Sample Paper
- Kent College 11 Plus Maths Sample Paper 2011
- Kent College 11 Plus Maths Sample Paper 2015

King’s College Wimbledon

- King’s College School Wimbledon 11 Plus Maths Specimen Paper 2014
- King’s College School Wimbledon 11 Plus Maths Specimen Paper A 2017 (2019)
- King’s College School Wimbledon 11 Plus Maths Specimen Paper B 2017 (2019)
- King’s College School Wimbledon 11 Plus Maths Specimen Paper A 2018 (2020)
- King’s College School Wimbledon 11 Plus Maths Specimen Paper B 2018 (2020)
- King’s College School Wimbledon 11 Plus Maths Specimen Paper A 2023 (2025)
- King’s College School Wimbledon 11 Plus Maths Specimen Paper B 2023 (2025)

Latymer Upper School

- Latymer Upper School 11 Plus Maths Sample Paper 2014
- Latymer Upper School 11 Plus Maths Sample Paper 1 2020
- Latymer Upper School 11 Plus Maths Sample Paper 2 2020

Magdalen College School

- Magdalen College School 11 Plus Maths Sample Paper
- Magdalen College School 11 Plus Maths Sample Paper – Mark Scheme

Manchester Grammar School

- Manchester Grammar School 11 Plus Arithmetic 1 2010
- Manchester Grammar School 11 Plus Arithmetic 2 2010
- Manchester Grammar School 11 Plus Arithmetic 1 2011
- Manchester Grammar School 11 Plus Arithmetic 2 2011
- Manchester Grammar School 11 Plus Arithmetic 1 2012
- Manchester Grammar School 11 Plus Arithmetic 2 2012
- Manchester Grammar School 11 Plus Arithmetic 1 2013
- Manchester Grammar School 11 Plus Arithmetic 1 2013 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic 2 2013
- Manchester Grammar School 11 Plus Arithmetic 2 2013 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic A 2014
- Manchester Grammar School 11 Plus Arithmetic A 2014 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic B 2014
- Manchester Grammar School 11 Plus Arithmetic B 2014 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic A 2016
- Manchester Grammar School 11 Plus Arithmetic A 2016 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic B 2016
- Manchester Grammar School 11 Plus Arithmetic B 2016 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic A 2017
- Manchester Grammar School 11 Plus Arithmetic A 2017 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic B 2017
- Manchester Grammar School 11 Plus Arithmetic B 2017 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic A 2018
- Manchester Grammar School 11 Plus Arithmetic A 2018 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic B 2018
- Manchester Grammar School 11 Plus Arithmetic B 2018 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic A 2019
- Manchester Grammar School 11 Plus Arithmetic A 2019 – Mark Scheme
- Manchester Grammar School 11 Plus Arithmetic B 2019
- Manchester Grammar School 11 Plus Arithmetic B 2019 – Mark Scheme

Merchant Taylors’ School

- Merchant Taylors’ School 11 Plus Maths Practice Paper 2008
- Merchant Taylors’ School 11 Plus Maths Practice Paper 2009
- Merchant Taylors’ School 11 Plus Maths Specimen Paper 1
- Merchant Taylors’ School 11 Plus Maths Specimen Paper 2

North London Collegiate School

- North London Collegiate School 11 Plus Maths Sample Paper

Oundle School

- Oundle School 11 Plus Maths Sample paper 2008
- Oundle School 11 Plus Maths Sample paper 2016
- Oundle School 11 Plus Maths Sample paper 2017
- Oundle School 11 Plus Maths Sample paper 2018
- Oundle School 11 Plus Maths Sample paper 2019
- Oundle School 11 Plus Maths Sample paper 2020

Perse Upper School

- Perse Upper School 11 Plus Maths Specimen Paper 1

Perse Upper School 11 Plus Maths Specimen Paper 2

- Perse Upper School 11 Plus Maths Specimen Paper 3
- Perse Upper School 11 Plus Maths Specimen Paper 4
- Perse Upper School 11 Plus Maths Specimen Paper 5
- Perse Upper School 11 Plus Maths Sample Paper 1
- Perse Upper School 11 Plus Maths Sample Paper 2

Reigate Grammar School

- Reigate Grammar School 11 Plus Maths Sample Paper 2012
- Reigate Grammar School 11 Plus Maths Sample Paper 2013
- Reigate Grammar School 11 Plus Maths Sample Paper 2018
- Reigate Grammar School 11 Plus Maths Sample Paper 2019
- Reigate Grammar School 11 Plus Maths Sample Paper 2022

Royal Russel School

- Royal Russel School 11 Plus Maths Sample Paper

Sevenoaks School

- Sevenoaks 11 Plus Maths Sample Paper 2010
- Sevenoaks 11 Plus Maths Sample Paper 2011
- Sevenoaks 11 Plus Maths Sample Paper 2012
- Sevenoaks 11 Plus Maths Sample Paper 2013
- Sevenoaks 11 Plus Maths Sample Paper 2014
- Sevenoaks 11 Plus Maths Sample Paper 2015
- Sevenoaks 11 Plus Maths Sample Paper 2016
- Sevenoaks 11 Plus Maths Sample Paper 2017
- Sevenoaks 11 Plus Maths Sample Paper 2018
- Sevenoaks 11 Plus Maths Sample Paper 2019
- Sevenoaks 11 Plus Maths Sample Paper 2020
- Sevenoaks 11 Plus Maths Sample Paper 2021
- Sevenoaks 11 Plus Maths Sample Paper 2022

Solihull School

- Solihull School 11 Plus Maths Sample Paper

St Alban’s School

- St Alban’s School 11 Plus Maths Specimen Paper
- St Alban’s School 11 Plus Maths Sample Paper 2017
- St Alban’s School 11 Plus Maths Sample Paper 2019
- St Alban’s School 11 Plus Maths Sample Paper 2020

St Francis’ College

- St Francis’ College 11 Plus Maths Sample Paper 2017
- St Francis’ College 11 Plus Maths Sample Paper 2017 – Mark Scheme

St George’s College Weybridge

- St George’s College Weybridge 11 Plus Maths Sample Paper 2012
- St George’s College Weybridge 11 Plus Maths Sample Paper

St John’s School Leatherhead

- St John’s School Leatherhead 11 Plus Maths Sample Paper

St Paul’s Girls’ School

- St Paul’s Girls’ School 11 Plus Maths Sample Paper 1 2017
- St Paul’s Girls’ School 11 Plus Maths Sample Paper 2 2017

Streatham and Clapham High

- Streatham and Clapham High School 11 Plus Maths Sample Paper A 2019
- Streatham and Clapham High School 11 Plus Maths Sample Paper B 2019
- Streatham and Clapham High School 11 Plus Maths Specimen Paper

Sydenham High School

- Sydenham High School 11 Plus Maths Sample Paper

The King’s School Chester

- The King’s School Chester 11 Plus Maths Specimen Paper
- The King’s School Chester 11 Plus Maths Specimen Paper – Mark Scheme
- The King’s School Chester 11 Plus Maths Specimen Paper 2
- The King’s School Chester 11 Plus Maths Specimen Paper 2 – Mark Scheme

The Queen’s School Chester

- The Queen’s School Chester 11 Plus Maths Sample Paper

Trinity School

- Trinity School 11 Plus Maths Sample Paper 1
- Trinity School 11 Plus Maths Sample Paper 2

## 11 Plus Maths Practice Papers - Grammar School

Crossley Heath & Halifax Grammar Schools

- Crossley Heath & Halifax Grammar Schools 11 Plus Maths Sample Paper

Dame Alice Owens School

- Dame Alice Owens School 11 Plus Maths Familiarisation Paper
- Dame Alice Owens School 11 Plus Maths Familiarisation Paper – Mark Scheme

St Anselm’s College

- St Anselm’s College 11 Plus Maths Sample Paper 1
- St Anselm’s College 11 Plus Maths Sample Paper 2

St Olave’s Grammar School

- St Olave’s 11 Plus Maths Sample Paper 2015
- St Olave’s 11 Plus Maths Sample Paper 2019

SW Hertfordshire Schools Consortium

- SW Hertfordshire Schools Consortium 11 Plus Maths Specimen Paper

## 11 Plus Maths Practice Papers - Exam Boards

- CSSE 11+ Maths Paper 2015
- CSSE 11+ Maths Paper 2015 – Mark Scheme
- CSSE 11+ Maths Paper 2016
- CSSE 11+ Maths Paper 2016 – Mark Scheme
- CSSE 11+ Maths Paper 2017
- CSSE 11+ Maths Paper 2017 – Mark Scheme
- CSSE 11+ Maths Paper 2018
- CSSE 11+ Maths Paper 2018 – Mark Scheme
- CSSE 11+ Maths Paper 2019
- CSSE 11+ Maths Paper 2019 – Mark Scheme
- GL 11+ Maths Familiarisation Paper 1
- GL 11+ Maths Familiarisation Paper 2
- GL 11+ Maths Familiarisation Papers – Mark Scheme

North London Girls’ Schools Consortium Group 1 & 2 (Now ‘The London 11+ Consortium’)

- Group 1 11 Plus Maths – 2008
- Group 1 11 Plus Maths – 2009
- Group 1 11 Plus Maths – 2010
- Group 1 11 Plus Maths – 2011
- Group 1 11 Plus Maths – 2012
- Group 1 11 Plus Maths – 2013
- Group 1 11 Plus Maths – 2014
- Group 1 11 Plus Maths – 2015
- Group 1 11 Plus Maths – 2016
- Group 2 11 Plus Maths – 2008
- Group 2 11 Plus Maths – 2009
- Group 2 11 Plus Maths – 2010
- Group 2 11 Plus Maths -2011
- Group 2 11 Plus Maths – 2012
- Group 2 11 Plus Maths – 2013
- Group 2 11 Plus Maths – 2014
- Group 2 11 Plus Maths -2015
- Group 2 11 Plus Maths -2016

## 11 Plus Maths Practice Papers - Publishers

- Bond 11+ Maths Sample Paper
- Bond 11+ Maths Sample Paper 2
- Bond 11+ Maths Sample Paper 2 – Mark Scheme
- CGP 11+ Maths Paper for CEM 11+
- CGP 11+ Maths Paper for CEM 11+ – Mark Scheme
- CGP 11+ Maths Paper for GL 11+
- CGP 11+ Maths Paper for GL 11+ – Mark Scheme
- Schofield and Sims 11+ Maths Paper
- IPS 11 Plus Maths Sample Paper

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- Year 11 Maths Worksheets

Practice makes perfect: so hone your maths skills with our practice questions.

## Student Zone

- Practice Tests

## Download your free worksheets:

This worksheet contains ten questions and answers on rates and ratios from the national curriculum for Year 11.

Year 11 Mathematics - Measurement and Geometry This worksheet contains ten questions and answers on measurement and geometry from the national curriculum for Year 11.

Year 11 Mathematics - Graphs and Networks This worksheet contains ten questions and answers on graphs and networks from the national curriculum for Year 11.

Year 11 Mathematics - Matrices This worksheet contains ten questions and answers on matrices from the national curriculum for Year 11.

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## Maths Learning Resources

Free for parents and fun for children! Discover a library of primary school maths worksheets, games, tips for parents, and more! Perfect for learning remotely, preparing for the 11 Plus exam, and making progress in maths.

## Learn how to Solve 11+ Exam Maths Questions

The key to successfully passing the maths section of the 11+ is to ensure your child masters exam technique. T ry to learn how to quickly recognise the type of question and then apply the correct problem-solving method. Practising this will help your child to complete the test successfully.

Modified from City of London School for Girls 11+ Maths Entrance Examination 2011 #30

## Counting Problem

In the following pattern, you can only move from the letter you are currently at to one of the two letters in the row below immediately to the left or the right.

One route from A to Q is ACEHLQ.

- How many possible routes are there from A to Q?
- How many possible routes are there from A to S?

## Answer and solutions

a) 5. b) 10

We can solve this question by listing all the possible routes, but it’s easy to repeat or omit some routes. We can use the “Marking Method” to help us find the answer quickly and accurately.

As shown in the figure below, the number besides each letter indicates the number of routes from A to this letter. Each number equals to the sum of the two adjacent numbers above.

From the figure we can easily find that there are 5 possible routes from A to Q, and 10 possible routes from A to S.

Modified from Sevenoaks School 11+ Maths Entrance Examination 2015 #17

The diagram shows the net of a cube. Which edge meets the edge P when the net is folded to form a cube?

How can you find which two edges will meet when the net is folded? It is difficult to rely solely on spatial imagination. There is a simple way to solve this question.

We can start by observing a folded cube.

In the cube above, the line segment between vertex A and vertex G is a body diagonal. A body diagonal of a cube is a line connecting two vertices that are not on the same face. Each vertex of the cube is only connected to only one other by a body diagonal. On a net of this cube, the line between A and G will pass through two faces, and it must be the diagonal of the rectangle formed by the two square faces. The figure below shows one possible case (only a part of the net is shown).

Here is a useful rule: starting from a point on the net and moving along the diagonal of a double-grid rectangle to another point, you will reach the other end point of the body diagonal. If you move diagonally across another double-grid rectangle from where you end up, you will return to the end point of the body diagonal you started at, but you will be at a different point on the net. So, the point you started at and the point you end up at must meet at the same vertex of the folded cube. For example:

For this question, we mark the two endpoints of edge P as M and N.

Move from M twice: M-M 1 -M 2 , M and M 2 will meet at the same vertex of the cube by the rule above.

Move from N four times: N-N 1 -N 2 -N 3 -N 4 , N, N 2 and N 4 will meet at the same vertex of the cube by the rule above.

So, MN and M 2 N 4 will meet to form an edge of the cube. That is to say, edge C meets edge P when the net is folded to form a cube.

Modified from Whitgift School Croydon 11+ Math Exam Syllabus Sample Question #20

## Indefinite Equations Word Problem 1

Pip wants to reserve some boats. Each small boat seats 3 people and each big boat seats 8 people. What is the minimum number of boats he needs to reserve to seat 68 of his friends and himself, without any empty seats?

13 (7 small boats and 6 big boats).

Let x be the number of small boats, y be the number of big boats.

3x+8y =68+1=69

Normally, students will list the possible numbers of x and y until they have found all the answers. This would take a long time. This problem can be solved more quickly by considering the relationship between multiples of the same number.

We can find that 69 is a multiple of 3, 3x is also a multiple of 3, so 8y must be a multiple of 3 as well. Then y must be a multiple of 3.

When y=3×0=0, 3x+8×0=69 , x=23.

When y=3×1=3, 3x+8×3=69 , x=15.

When y=3×2=6, 3x+8×6=69 , x=7.

If the value of y continues to increase in multiples of 3, the value of x will become less than0. Therefore, there are only three pairs of solutions:

7+6=13<15+3<23+0, so Pip needs to reserve at least 13 boats.

## Modified from Bancroft's School 11+ Maths Entrance Examination 2018 #31

Indefinite equations word problem 2.

Bud bought several chocolate cakes and strawberry cakes for her family. A chocolate cake costs ￡10, and a strawberry cake costs ￡9. She paid ￡46 in total. How many chocolate cakes and strawberry cakes did she buy?

Bud bought 1 chocolate cake and 4 strawberry cakes.

Let x=the number of chocolate cakes, y=the number of strawberry cakes.

10 x +9 y =46

This problem can be solved quickly by analysing the last digit.

The last digit of 10x is 0, and the last digit of 46 is 6, so the last digit of 9y should be 6. When y=4, 9×4=36, so the last digit of 9y is 6. When y=4, 4y=36, 10x+36=46, x=1.

If the value of y continues to increase, the value of x will be less than 0.

In other words, Bud bought 1 chocolate cake and 4 strawberry cakes.

Modified from PMC February 2016 #20

## Remainder Problem 1

John has less than 100 marbles in a bag.

If he counts them in groups of 3, he will get a remainder of 2.

If he counts them in groups of 4, he will get a remainder of 2.

If he counts them in groups of 5, he will get a remainder of 2.

How many marbles does John have?

Answer: 62

Through observation, we can see that these remainders are all the same. Therefore, if we subtract 2 from the total number of marbles, the result will be a multiple of 3, 4 and 5.

The lowest common multiple of 3, 4 and 5 is 60. 60+2=62.

After 60, 120 is the next smallest common multiple of 3, 4 and 5. But this would mean John has 120+2=122 marbles, and 122>100. Therefore, John must have 62 marbles.

## Remainder Problem 2

Pip thinks of a number.

When the number is divided by 5, the remainder is 4.

When the number is divided by 6, the remainder is 5.

When the number is divided by 9, the remainder is 8.

Pip’s number is less than 100. What is the number?

Answer: 89

Through observation, we can see that the remainder of each division is 1 less than the divisor. Therefore, as long as Pip’s number is increased by 1, it can be divided by each of these divisors with no remainder.

Let the number be x. x+1 should be a common multiple of 5, 6 and 9.

The lowest common multiple of 5, 6 and 9 is 90. When x+1=90, x=89. 89 meets all the requirements of this question.

After 90, 180 is the next smallest common multiple of 5, 6 and 9. When x+1=180, x=179>100. Therefore, Pip’s number can only be 89.

Modified from 2019 Junior Mathematical Challenge #22

## Number Puzzles Question

In the calculation below, all of the digits are replaced with letters. The same letters represent the same digits. None of A, B or C is zero. Work out what digit each of the letters stands for in this calculation:

ABC+ABC+ABC=BBB.

A =1, B =4, C =8.

Through observation, we can find that BBB is a multiple of 111 . We can use this to find the following:

BBB = B×111 = B×37×3

ABC ×3=BBB=B×37×3

Therefore, the product of B×37 should be a three-digit figure.

37×1 is a two-digit figure, so B≠ 1

37×2 is a two-digit figure, so B≠ 2

37×3 is a three-digit figure, 37×3=111 . It doesn’t meet the requirement of ABC×3=BBB , so B≠3

37×4 is a three-digit figure, 37×4 =148 . It meets the requirement of ABC×3=BBB .

If the value of B continues to increase, the values of A, B, and C won’t meet the requirement of ABC×3=BBB . The only solution to this problem is A =1, B =4, C =8.

Modified from City of London School for Girls 11+ Maths Entrance Examination 2015 #15

## Number Machine

A number machine produces the input and output table below.

What is the rule for this number machine?

Divide by 3 and then add 6.

We can compare the variation of the differences between different inputs and between the corresponding outputs.

+3 in the input results in +1 in the output, +6 in the input results in +2 in the output, etc. So, we can try to divide the input numbers by 3. After that we can find the difference between the new number and the output is 6.

Therefore, the rule is “divide by 3 and then add 6”.

Modified from Bancroft’s School 11+ Maths Entrance Examination 2018 #28

## Logical Deduction 1

There are 5 thief suspects. Only one of them is the real thief, and only three of them tell the truth. Can you help the police find the thief according to their statements below?

Suspect A: “Suspect D is the thief.”

Suspect B: “I am not the thief!”

Suspect C: “I’m quite sure Suspect E is not the thief.”

Suspect D: “Suspect A is telling a lie.”

Suspect E: “Suspect B is telling the truth.”

E is the thief.

Finding contradictions between different statements can help us to solve problems like this one. We can find that suspect A’s statement and suspect D’s statement contradict each other (they cannot both be true), which means one out of suspect A and suspect D must be lying, and the other is telling the truth.

What’s more, suspect B’s statement and Suspect E’s statement are equivalent, which means suspects B and E are either both telling lies or both telling the truth.

According to the given information, only three of them tell the truth, which means only two of them tell lies.

If both suspects B and E were telling lies, there would be at least 3 suspects lying in total (as either suspect A or suspect D is lying), which would contradict the fact that only two of them lie. Therefore, both suspects B and E are telling the truth.

Now there are three people telling the truth (B, E and either A or D), which means that suspect C is lying, and suspect E is the thief.

## Logical Deduction 2

Jessica, Ethan, and Ben are comparing how many sweets they have with each other.

Jessica: “I have 13 sweets, 3 less than Ethan, and 1 more than Ben”

Ethan: “I do not have the lowest amount, Ben has 4 more or less than me, and Jessica has 11 sweets”

Ben: “I have less than Jessica, Jessica has 10 sweets, and Ethan has 2 more than Jessica”

If for each person’s three statements one is incorrect and the other two are correct, how many sweets does the person with the least number of sweets have?

When there are so many known conditions, tabulation can help us understand the problem.

From the table above, it is easy to find that the three red statements are contradictory and the two blue statements are contradictory.

We also find that there are two contradictory statements between Jessica and Ben, so each of them is correct about one and incorrect about the other of these two statements (as only one red statement can be correct and only one blue statement can be correct, but each person is only incorrect about one of their statements). That is to say, Jessica has either 13 or 10 sweets, and so “Jessica has 11 sweets” is incorrect.

Therefore, the other statements are correct.

From the correct statements, we can find B<J (from Ben). Then from Ethan’s statements, we know that Ethan has 4 more or less than Ben, but also that Ethan does not have the least, so Ethan must have 4 more than Ben. Finally, from Jessica’s statements, we know that Jessica has 1 more than Ben, so must have just 3 less than Ethan, so Jessica’s second statement J=E-3 is correct. “Jessica has 13 sweets” must then be incorrect, so Jessica must have 10 sweets. Ben has the least number of sweets. He has 9 sweets.

## 11 Plus Maths Worksheets PDF

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## Bucks GL 11+ Papers (MathsNVR) - 3 Paper Pack

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Maths Problem Solving - Test 1 - Ages 11 - 12 If you're looking for a maths problem-solving test to help prepare for the 11+ and entrance exams, ...

## 11 Plus Maths Problem Solving - Test 1

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## Free Math Worksheets — Over 100k free practice problems on Khan Academy

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## Time Questions and Answers

These detailed answers are visible only for premium members

Please register to unlock over one hundred and sixty 11+ Exam Papers. 10,000+ Questions with Answers

## Time and Date for the 11 Plus Exams

Every person’s life revolves around time. You wake up at a particular time every morning.

The day can be split into two halves. The day has 24 hours in it.

Midnight to midday: first 12 hours of the day: Called AM

Next 12 hours from noon back to midnight are called PM.

Time can be shown in two formats: 24-hour and 12-hour. Let us learn about these formats in the coming sections.

## 1.1 What is 24-hour clock?

It is more often shown on digital clock with the numbers 1-24. The time represented by 24-hour clock is in four digits, with the first two digits denoting the hours while the last two digits denoting the minutes.

AM or PM is not used in the 24-hour time format.

For example:

Six AM in the 24-hour clock will be 06:00.

Three-thirty PM in the 24-hour clock will be 15:30 (15 hours = 12 hours + 3 hours).

## 1.2 What is 12-hour clock?

It is more often shown on analogue clock with the numbers 1-12. The time represented by 12-hour clock is followed by AM or PM.

Examples: 3 am, 4 pm, 5:30 pm

## 2. Time Conversions

Time can be measured in seconds, minutes, hours, days, weeks, months and years.

Conversion time guide:

Normal year have 365 days while leap year have 366 days. Leap year happens every four years.

Let us now workout some examples on time conversions:

## 2.1 Time Conversion: Solved Examples

a) 17 minutes 45 seconds to seconds.

First step is to convert 17 minutes to seconds.

1 minute has 60 seconds.

17 minutes = 17× 60 = 1020 seconds

So 17 minutes 45 seconds = 1020 seconds + 45 seconds

= 1065 seconds

b) 4 weeks 3 days 12 hours to hours

First step is to convert 4 weeks to days and to hours.

One week has 7 days, so 4 weeks has

7× 4=28 days

One day has 24 hours, so 28 days has

24× 28 = 672 hours

Second step is to convert 3 days to hours

One day has 24 hours, so 3 days has

24× 3 = 72 hours

Now 4 weeks 3 days 12 hours = 672 hours + 72 hours + 12 hours

= 756 hours

## 2.2 Time Loss and Gain

When the clock is running fast, time is gained and when is running slow, the time is lost.

Let us understand the terms time loss and gain using a simple example.

If a clock shows 7.20 when the correct time is 7.30, the clock is late by 10 minutes and it losses time.

If a clock shows 7.20 when the correct time is 7.10, the clock is fast by 10 minutes and it gains time.

Let us now learn how to workout the correct time given the time gain or loss with the example below.

Example: A clock gains 15 minutes in one hour and was set right at 11 AM. What time will this clock show at 3 PM on the same day?

The clock gains 15 minutes in an hour.

Number of hours passed from 11 AM to 3 PM = 4

Time gained by the clock in 4 hours = 4× 15 = 60 minutes

So after 4 hours i.e. at 3 PM, the clock will be 60 minutes or one hour ahead.

At 3 PM the clock will show 4PM.

## 3. Date Problems

Things to remember while solving date problems:

- Number of days in ordinary year = 365
- Number of days in leap year = 366
- Number of days in one month = 30 or 31
- Number of days in one week = 7

Let us now use this information and try to solve an example of date problem.

Example: If the 8th of June was Friday, what day was on 19th of September of the same year?

One week has 7 days.

After every week the days will repeat.

The number of days from 8th June to 19th December = 103 days

And, 103⁄7=14R5

We have 14 full weeks and 5 days extra.

The 5th day after Friday is Wednesday.

19th September is a Wednesday.

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What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions .

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The majority of the 11 Plus Maths questions are mathematical problem-solving, where pupils need to understand and apply mathematical concepts. With regular practice of 11+ Maths Topic-wise questions , you will pass the 11-plus Maths Exam with a high score.

The children must master the following topics for the 11 plus exams

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- Addition, subtraction, multiplication, and division.
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- Ratio and proportion.
- Measurement.
- Geometry (properties and position of shapes, coordinates)
- Statistics.

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