Free 11 Plus Maths Papers with Answers (PDF Download)
Maths is one of the core 11+ papers — and one where focused practice with proper feedback makes a real difference. ExamTutor's free 11 plus maths papers with answers (PDF) let you see the standard before you buy, and every question is paired with a step-by-step video solution that walks through the method.
11+ Maths Papers PDF & 11 Plus Maths Papers PDF with Answers
Every download is an 11 plus maths papers PDF with answers, so your child can self-mark and then watch the video solution for anything they got wrong.
That combination is what makes these 11 plus maths papers so effective. A printed answer key tells your child which answer is right; our step-by-step video solutions show them how to get there — exactly what's needed for the multi-step word problems that dominate 11+ maths. You get the 11 plus maths papers PDF with answers for offline practice, plus on-demand video solutions that work like a maths tutor sitting beside your child. The 11 plus maths papers PDF prints cleanly for working away from a screen, while the videos are there whenever your child needs the method explained.
Free 11 Plus Maths Papers with Answers (PDF)
Download free 11 plus maths papers with answers (PDF) and try the video solutions — no risk, see the standard before you buy.
Key Takeaways
- 11 plus maths papers test the KS2 curriculum applied to problem-solving — mostly multi-step, real-world questions.
- Key topics: number, four operations, fractions/decimals/percentages, ratio, algebra, measurement, geometry, statistics and probability.
- A GL-style paper is typically ~50 questions in 50–60 minutes, multiple-choice.
- Step-by-step video solutions beat answer keys — they show the method, which is what 11+ maths really tests.
- Try a free maths paper (PDF with answers) first to benchmark your child before buying a full pack.
11+ Maths Practice Tests Covering All Key Topics
What Our 11+ Maths Papers Cover (All Key Topics)
A good 11 plus maths paper covers the full breadth of the Key Stage 2 curriculum, tested through reasoning and word problems rather than bare calculation. Here are the key topics tested in the 11+, with examples of how each appears in our GL-style maths papers:
| Topic area | What it covers | Example question type |
|---|---|---|
| Number & place value | Rounding, ordering, place value, negative numbers | Rounding to the nearest 10/100; counting across zero on an elevator |
| Four operations | Mental methods, multiplication, division, money | 65 × 99 using known facts; paying £3.89 with the fewest coins |
| Fractions, decimals & percentages | Comparing, equivalent fractions, fractions of amounts, % conversions | Which fraction is smallest; what % of the pizza is left over |
| Ratio & proportion | Unitary method, scaling, proportional reasoning | Cost of 250 ml of milk from the price of 2 litres |
| Algebra & sequences | Linear equations, "think of a number", number & pattern sequences | Solve 2a + 6 = 20; find the next term in 164, 82, 41, 20.5… |
| Measurement | Length, mass, capacity, time, money, unit conversion | Time zones (Tokyo/London); bus timetables; filling a 1.5 L bowl |
| Geometry — shape | 2D & 3D properties, nets, parallel/perpendicular lines | Net of a triangular prism; letters with perpendicular & parallel lines |
| Geometry — measure | Coordinates, symmetry, area, perimeter, volume | Perimeter of a pitch; value of a missing cuboid dimension |
| Statistics | Pictograms, bar charts, pie charts, line graphs, mean, range | Pie chart of Olympic medals; mean high-jump height; range of scores |
| Probability | Probability of events, probability scale & language | Rolling more than 2 on a dice; likely/unlikely picking a highlighter |
Notice how almost every question is set in a real-world context — sport, shopping, travel, food. That's the hallmark of GL-style 11+ maths: it rewards children who can read a problem, work out which maths to use, and apply it accurately under time pressure. Practising across all these topics, with the method shown for each, is the surest route to a confident maths score. Because 11 plus maths papers weight reasoning so heavily, a child who has only drilled bare calculations can still be caught out by the wording of a problem — which is exactly why working through full papers, and reviewing every question, matters more than rote arithmetic alone.
Worked 11+ Maths Example (with Video Solution)
Here are two multi-step 11+ maths questions in the style of our papers — one moderate, one harder. Have a go before revealing the method — in the full papers, every question comes with a step-by-step video solution like this.
If the cost of 2 litres of milk is £2.40, what is the cost of 250 ml of milk?
A 60p · B 35p · C 40p · D 30p · E 24p
Reveal the answer & method →
Answer: D — 30p.
Method: use the unitary method. 2 litres = 2000 ml costs £2.40 (240p). First find the cost per ml: 240p ÷ 2000 = 0.12p per ml. Then multiply by 250: 0.12 × 250 = 30p. A quicker route: 250 ml is one-eighth of 2000 ml, and 240p ÷ 8 = 30p. Either way, the answer is 30p.
Two cuboids have the same volume. The first measures 7 cm × 5 cm × 9 cm. The second measures 3 cm × 10 cm × a. What is the value of a?
A 10 cm · B 11 cm · C 5 cm · D 10.5 cm · E 15 cm
Reveal the answer & method →
Answer: D — 10.5 cm.
Method: volume of a cuboid = length × width × height. First work out the volume of cuboid 1: 7 × 5 × 9 = 315 cm³. The second cuboid has the same volume, so 3 × 10 × a = 315. That gives 30a = 315, so a = 315 ÷ 30 = 10.5 cm. This question is harder because it combines two steps — calculating a volume and then solving an equation to find a missing length — which is typical of the tougher questions near the end of a GL maths paper.
11 Plus Exam Papers Maths: GL, CEM & Independent
Maths features in every 11+ exam, but the format varies by board — so it's worth matching your practice to the right one.
| Board | How maths is tested | What to focus on |
|---|---|---|
| GL Assessment | Structured, standalone maths paper (~50 questions, multiple-choice) | Full KS2 topic coverage and multi-step problem solving |
| CEM | Maths (numerical reasoning) woven into mixed, time-pressured papers | Speed, mental arithmetic and applying maths quickly |
| Independent (ISEB) | A maths section within the adaptive online Common Pre-Test | Practising maths topics online and against the clock |
ExamTutor's 11 plus maths papers are built into the packs that test them:
- GL Assessment practice papers — maths is a core, standalone paper, with full topic coverage and a step-by-step video solution for each question.
- CEM practice papers — develops the speed and applied maths that CEM's mixed papers demand.
- Independent 11+ practice papers — covers the maths element of ISEB and independent school assessments.
Want comprehensive preparation? The full GL and CEM multi-packs cover maths alongside English and reasoning. Not sure which board? Read what is the 11 plus exam? first. You may also want our verbal reasoning and non-verbal reasoning papers.
Using 11+ Maths Past Papers & 11 Plus Past Papers Maths Practice
Worked through like 11+ maths past papers, full timed papers rehearse the real exam. Many parents search for 11 plus past papers maths resources — our papers serve exactly that purpose, with the added benefit of a video solution for every question. (Note: these are 11+ entrance papers for Year 6; if you're looking for year 11 mocks past papers maths at GCSE level, those are a different exam stage.)
How to Improve Your Child's 11 Plus Maths Score
Maths is one of the most improvable 11+ subjects, because most gains come from technique and review rather than raw ability. Here's how our tutors recommend raising a maths score:
- Build mental-arithmetic fluency. Quick, accurate number work (times tables, mental methods) frees up time and reduces errors on harder questions.
- Master the topics one at a time. Work through each topic area with worked examples until the method is secure, then mix them.
- Practise multi-step word problems. Most 11+ maths marks come from reading a real-world problem and working out which maths to use — this is a distinct, trainable skill.
- Review every mistake. Identify whether it was a method gap or a careless slip. Fix method gaps with examples; fix slips with a checking habit. This is where step-by-step video solutions are invaluable.
- Build up to timed papers. In the final months, sit full maths papers under timed conditions and track which topics are weakest, then target them.
- Keep it steady. Little-and-often practice beats cramming, protects confidence, and builds lasting fluency.
For a complete week-by-week plan across all four subjects, see our 11 plus preparation guide. With steady practice and proper review, most children see their 11 plus maths score climb steadily — turning maths into one of their most reliable papers.