11 Plus Maths Papers and Topic Tests with Answers

A full maths paper and a topic worksheet do different jobs. A paper helps your child practise a test format and brings several skills together. A worksheet lets them spend a short session on one skill, such as fractions or ratio.

Start with the official material for the school or test your child will sit. Then use the original worksheets below to revisit a method that needs attention. The links on this page distinguish official papers from Smart Cub Learning practice; a topic pack is not a replica of an admissions test.

Official free maths papers and mark schemes

CSSE, for Essex schools using its test. The official CSSE practice material page lists mathematics papers for 2021, 2022 and 2023 entry, with a separate mark scheme for each. Choose the paper and scheme for the same entry year. These are historical papers: check the current test instructions before using an old paper as an exam rehearsal. The materials remain protected by CSSE copyright, so download them from the consortium.

GL Assessment familiarisation. GL's free materials page links to maths familiarisation PDFs and combined non-verbal reasoning and maths material. These introduce layouts and question types. GL warns that local timings and question counts may differ, and that its paid practice books are separate products. A general GL sample does not establish the exact format of your child's local test.

The school or local test organiser. Read its current admissions and familiarisation pages. Check whether maths is a separate paper or part of a combined test, whether answers are written or multiple choice, and what equipment and answer sheet are used. Follow the instructions for your child's entry year.

For other subjects and more source links, see our free 11 plus practice papers guide. Our past papers guide explains the difference between an actual past paper, a familiarisation paper and a publisher's practice paper.

Original maths worksheets by topic

Our worksheet pages provide a short explanation, printable practice and answers. Choose the school-year topic that matches the skill your child needs:

• Year 5 place value and rounding
• Year 5 calculations
• Year 5 factors, primes and square numbers
• Year 5 fractions, decimals and percentages
• Year 5 measurement, angles and timetables
• Year 6 fractions
• Year 6 ratio and algebra
• Year 6 geometry

Each page links to its own PDF. These are curriculum practice resources, not replicas of a local 11+ paper. Read the explanation together if a method is new, then try a question independently. Ask your child to show their working so you can discuss the method as well as the result.

Start without a timer when learning a method. If a later timed attempt is useful, record the time taken rather than treating a worksheet timing as an official exam limit. For another worked topic, read our algebra questions guide.

Choose the next task from your child's working

If a method is new, teach it first. Work through a concrete example together. For sharing £45 in the ratio 4:5, there are 9 equal shares. Each is £5, so the two amounts are £20 and £25. Check that they add to £45 and have the required ratio. Then try a similar question independently.

If the method is familiar, try a short independent set. Look at each missed answer. Did your child choose the wrong operation, make a calculation slip, misread a unit or leave out a step? An option alone does not prove the reason. Ask them to explain how they reached it.

If the methods are secure, practise the relevant test format. Use the official instructions and mark scheme. A difficult question near the end can be a knowledge gap, a time problem or tiredness; its position alone does not tell you which. Revisit it without time pressure before deciding what to practise next.

Review when the child is ready to discuss their work. There is no useful fixed rule that every family must sit a whole paper each week, begin with a timed test or move to harder papers after one high score.

What to check before a timed paper

Write down the paper's source and year, the time allowance, the answer format and any separate section timings. Check whether you have its matching answer sheet and mark scheme. A combined test may not allow the whole paper's time for maths alone.

For September 2027 CSSE entry, the published format gives mathematics 60 minutes for the September 2026 test. Check the next entry year’s guidance when it is published. English is another paper with its own reading allowance; that extra reading time does not transfer to maths. Check the CSSE examination guidance and the instructions on your chosen paper.

For GL-based tests, start with the local authority or school's guidance. Two areas using GL may have different combinations and timings. A paper labelled GL-style by a publisher is practice, rather than an official local paper.

For independent schools, check the particular assessment. A fixed printed multiple-choice paper does not reproduce an adaptive online pre-test. Written school papers can also have different instructions about working and marks.

Curriculum coverage and difficulty

The national curriculum mathematics programmes of study provide a useful teaching map. Year 5 includes fractions, decimals, percentages, measurement and geometry. Year 6 includes ratio and proportion, algebra, further fraction work, four-quadrant coordinates and statistics.

This is a school curriculum, rather than a universal 11+ specification. Some selective-school questions ask pupils to apply familiar ideas in unfamiliar ways. Check the school's examples before assuming that a topic appears, or that a Year 5 child has already been taught every Year 6 method.

Difficulty labels such as Foundation, On-level and Stretch are publisher judgements unless a provider explains a calibration method. Do not convert them into an official age standard or a prediction of admission. Our maths topics guide can help you identify the underlying skill.

What a practice score can tell you

A raw mark shows performance on that particular paper. It does not automatically convert into an age-standardised score, a national percentile or an admission chance. Different papers may cover different skills and have different difficulty.

Use the mark scheme supplied with the paper. Award method marks only where that scheme allows them. Record which questions were attempted and which methods need another look; do not infer a statistical trend from a few unrelated scores.

Our 11+ score calculator by area explains supported published score methods and qualification rules. Use it with the type of reported score it requests. Qualification still does not guarantee a school place.

Common questions

Are these full papers or topic tests? The CSSE links lead to official historical papers and mark schemes. GL supplies familiarisation material. Our topic links lead to original curriculum worksheets, not ten full exam-style papers.

Does every answer include a full worked solution? No. Answer detail varies by resource. Check the linked page and its PDF. Official schemes also vary in detail. Read your child's working and explain a missing step together.

Should we time every worksheet? No. Start without a timer when learning or checking a method. Use timed practice when the purpose is to rehearse the relevant format, following the real instructions.

What percentage is a pass? There is no single 11+ pass percentage. Published scoring, qualification and ranking rules vary. A worksheet percentage should not be presented as an admission prediction.

Where should we start? Confirm the local test format, choose one relevant official sample, and identify a skill from your child's working. Use a relevant topic worksheet for that skill, then return to mixed practice when the method is clearer.