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11+ Mathematics Exam Practice Papers

11+ Mathematics tests are very often used by Local Education Authorities and private schools as part of an 11+ exam. These Maths tests will be used in combination with other 11+ exams to select your child for a grammar school place in Year 7.


Children must have a sound knowledge of all aspects of Mathematics including Shape and Space, Number, Measures, Handling Data, Algebra and of course Problem Solving. All of the questions that are set will be based on the National Curriculum Programmes of Study in maths. This subject will have been covered in your child's school but additional revision and preparation is essential to give your child the best chance possible to succeed in this difficult and important exam.

Content of 11+ Maths exam


The maths questions will be based on the Programs of Study that are statutory in schools and so your child should have been taught this work in their everyday school work or been introduced to the numerous topics as a homework exercise. However, additional practice and preparation is essential for success in their 11+ exam.

Mathematics programs of study and likely exam content.

The content of these mathematics programs of study, which are built upon year on year in each school, include: -

Number including place value.

Your child should be able to read, write, order and compare numbers up to at least 1 000 000 and determine the value of each digit. They should be able to interpret negative and positive numbers in context understanding that these numbers include zero. They need to comprehend how to “round” any given number and to solve number problems.


Your child must extend and apply their understanding of the number system to decimal numbers (up to three decimal places), percentages and fractions. They must be able to apply the four rules of addition, subtraction, multiplication and division to problem solving quickly and with accuracy is essential.

Your child needs to practise and extend their use of number to include terms such as factor, multiple and prime, square and cube numbers. A glossary of mathematical terms will help to teach your child much of the mathematical language they will need for the 11+ exam.

Measures/shape & space

With regards to measurement it is important for your child to be able to convert between different units of metric measure for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre. It is vital that they can calculate the perimeter and area of shapes in centimetres and metres and be confident in using all four operations to solve problems involving measure for example, length, mass, volume, money.

Geometry requires your child being able to identify 3-D shapes, including cubes and other cuboids, including from their 2-D representations, understand and calculate angles measured in degrees, differentiate between acute, obtuse and reflex angles, understanding that 360° is a complete or whole turn and what happens when shapes are reflected.

Statistics demands the skill to solve comparison, sum and difference problems using information presented in a graph and being able to complete, read and interpret information in tables, including timetables.

Mathematical skills especially problem solving.

The 11+ maths exam will be based on the National Curriculum programmes of study in maths but when bringing all these areas and skills together children must be able to work quickly and accurately to apply their number facts to more difficult and very demanding maths problem solving questions. Often these questions will be written into quite long passages and a child will have to search for the required information.



Maths type questions may also form part of Verbal Reasoning or Non-Verbal Reasoning 11-plus tests.

This 11+ maths practice book provides 10 tests with each test containing 50 questions covering all the above subject areas. A comprehensive glossary and answers are included.

This Maths book will help to improve your child's standards in 11+ Maths and prepare them for their 11+ Verbal or Non-Reasoning Exams.

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