Key Topics in 11+ Maths: A Guide

The 11+ maths exam is a significant assessment that evaluates your child’s mathematical understanding and problem-solving skills. Given the challenging nature of these tests, it’s common for students to encounter unfamiliar questions. To help you support your child’s preparation for the 11+ maths exam, here’s a breakdown of the key topics they should master.

1. Number and Place Value
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

2. Addition and Subtraction
add and subtract numbers mentally, using increasingly larger numbers

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

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

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

3. Multiplication and Division
identify multiples, all the factor pairs of a number, and the common factors of two numbers

understand and use the vocabulary of prime numbers, prime factors and composite 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 using multiplication and division, including scaling by simple fractions, and problems involving simple rates

4. Fractions (Including Decimals and Percentages)
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 percent symbol (%) and write percentages as a fraction with the denominator 100, and as a decimal

5. Measurement
convert between different units of metric measure (such as centimetres and metres, or litres and millilitres)

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

6. Geometry – Properties of Shape
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 rectangle properties to deduce facts and find missing lengths and angles

distinguish between regular and irregular polygons

7. Geometry – Position and Direction
reflect shapes and lines

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

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

use line graphs to solve comparison, sum and difference problems

With Quest for Exams, your child can practise for the 11+ maths exam consistently with various question types to help improve their skills. Additionally, we offer past paper bundles that will help your child familiarise themselves with the format of the exam. Quest for Exams even allows parents and children to track their progress and identify topics where they feel less confident, and focus their time on to reinforce skills.

The 11+ maths exam covers a broad range of topics that require a solid understanding of mathematical concepts and problem-solving techniques. By focusing on these key areas and providing your child with the necessary resources and practice from Quest for Exams, such as our past paper bundles divided by topic and our mock exams, you can help them approach the exam with confidence and readiness.

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