**Is your child applying for entry to a grammar school or a selective private school?**

Find out everything you need to know about 11 plus maths, including:

The key topics your child needs to know

The types of maths questions used by major exam boards

How your child can revise and prepare effectively

If your child is taking the 11 plus exam for entry to a grammar school, they will sit the tests in September of Year 6. Entrance exams for private schools are normally taken slightly later (usually between November and January).

The questions your child will see in their test will be mapped to Level 5 of the UK Key Stage 2 national curriculum (i.e. content taught up until the end of Year 5). In some cases, questions may assess the content your child is taught in early Year 6.

There are 8 main topics in the programme of study for Key Stage 2 maths. These are:

Number – number and place value

Number – addition and subtraction

Number – multiplication and division

Number – fractions (including decimals and percentages)

Measurement

Geometry – properties of shape

Geometry – position and direction

Statistics

We've broken down these topics into more detail below.

50 questions in 50 minutes

Mirrors the content and format of standard GL grammar school exams

Answer key and parents' guide

By the end of Year 5, your child should be able to:

read, write, order, compare and round numbers up to 1,000,000

count backwards and forwards with positive and negative numbers (including through zero)

count backwards and forwards in steps of 10 for any number up to 1,000,000

interpret negative numbers in context

read Roman numerals up to 1,000 (M) and recognise years written in Roman numerals

By the end of Year 5, your child should be able to:

add and subtract numbers mentally, using increasingly larger numbers

add and subtract whole numbers of more than 4 digits using formal written methods (columnar addition and subtraction)

use rounding to check their answers and determine levels of accuracy when solving problems

decide whether to use addition or subtraction when solving multi-step problems

By the end of Year 5, your child should be able to:

identify multiples, all the factor pairs of a number, and the common factors of two numbers

understand and be able to use the vocabulary of prime numbers, prime factors and composite numbers (non-prime numbers)

work out whether a number up to 100 is prime

recall prime numbers up to 19

use long multiplication when multiplying numbers up to 4 digits by a 2-digit number

use short division when dividing numbers up to 4 digits by a 1-digit number

solve multiplication and division problems using knowledge of factors, multiples, squares and cubes

multiply and divide numbers mentally

multiply and divide whole numbers, and numbers involving decimals, by 10, 100 and 1,000

recognise and use square numbers and cube numbers

solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates

By the end of Year 5, your child should be able to:

compare and order fractions whose denominators are multiples of the same number

multiply proper fractions and mixed numbers by whole numbers

identify, name and write equivalent fractions

add and subtract fractions with the same denominator(s)

read and write decimals as fractions

compare numbers with up to 3 decimal places, and round numbers with 2 decimal places, to the nearest whole number

recognise mixed numbers and improper fractions and convert from one form to the other

recognise the per cent symbol (%) and write percentages as a fraction with the denominator 100, and as a decimal

Support your child's maths revision with free downloadable worksheets, covering challenging topics such as multiplication, division, fractions and decimals.

By the end of Year 5, your child should be able to:

convert between different units of metric measure (such as centimetre and metre, or litre and millilitre)

use approximate equivalences between metric and imperial units

measure and calculate the perimeter of rectilinear shapes using metres and centimetres

calculate and compare the areas of rectangles

estimate the area of irregular shapes

estimate volume

use standard units, square centimetres and square metres

By the end of Year 5, your child should be able to:

identify 3D shapes from 2D representations

learn how to compare and estimate acute, obtuse and reflex angles

draw angles and measure them in degrees

understand the properties of rectangles to deduce facts and find missing lengths and angles

distinguish between regular and irregular polygons based on reading about equal sides and angles

By the end of Year 5, your child should be able to:

reflect shapes and lines

identify, represent and describe the position of shapes following a reflection or translation

By the end of Year 5, your child should be able to:

complete, read and interpret statistical information in tables (including timetables)

use line graphs to solve comparison, sum and difference problems

The structure of the 11 plus maths exam will vary depending on which school your child is applying for, and which exam board that school uses. Some schools may use their own bespoke papers created by the maths department. Regardless of which exam board your child's target school uses, it's very rare for calculators to be allowed in the test.

GL Assessment is commonly used by grammar schools for 11+ entry. Most GL exams come with a question booklet and an answer booklet – your child will write their answers in their answer booklet, which is then marked electronically. Questions are in multiple-choice format.

Each maths question will carry a different number of marks. Typically, many exams will have easier, 1-mark questions at the start of the paper, with the questions becoming increasingly more challenging towards the end of the test. As these later questions will involve multi-step problems, there will likely be more marks available.

Some exam boards may reward pupils with marks for showing their workings, so it’s a good idea to ensure your child gets into the habit of writing down their problem-solving in the area underneath the question.

When the test is marked, the examiner will add all of the marks together to create a raw score. Some exam boards may use standardised marking so that pupils who were born towards the end of the school year are not disadvantaged by age. In the standardisation process, younger pupils (determined by their age in years and months) will be given extra marks as compensation.

Wondering how to make sure your child covers the depth and breadth of the entire 11 plus curriculum, stays on track with their progress, and gets help when they're stuck? **Online learning** is a particularly efficient, cost-effective (and fun) way to do this!

Atom Nucleus is an online learning platform that gives your child everything they need to prepare for the 11 plus exam.

Children work **independently** through over 90,000 interactive practice questions – just like the ones featured in this article. Teacher-created helpsheets and videos help them discover new concepts and consolidate their learning.

Atom's algorithm keeps children on their ideal learning path, tailored to their unique learning style and pace to keep them challenged and motivated.

Atom Nucleus gives children access to **unlimited online practice papers** tailored to your target schools. They're designed to mirror the format and style of real 11 plus questions, so your child will go into the exam knowing exactly what to expect.

And what's more, **everything is automatically marked for you**.

Begin your child's journey to 11 plus success today. Use the full features of Atom Nucleus free for 5 days – cancel anytime.

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