GrammarPath
Maths Packs / Pack 2
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Find the topics quietly costing your child marks.

100 questions across 4 timed tests and 19 topics. It marks itself, then names the exact mistake behind every wrong option, so you know what to fix, not just what was wrong.

Three real questions from the pack, one from each difficulty band. Pick an answer, scroll down, press submit.

grammarpath.co.uk/maths/pack-02 LIVE PREVIEW
Q1BronzeMultiplication and Division

A school library in Bournville orders 7 boxes of reading books, and each box contains 24 books. The librarian then donates 30 of the books to another school. How many books does the library keep?

Q8SilverPercentages

A bike shop in Stourbridge reduces the price of a helmet from £40 by 15% in a sale. How much does the helmet cost in the sale?

Q16GoldAngles

The diagram shows a triangular roof truss with one angle of 29° and another of 95°. A support beam splits the third angle into two equal parts. What is the size of each part?

Why this pack works

  • 100 questions over 4 timed tests, spanning 19 maths topics, the mix a real 11+ paper draws from.
  • Every wrong option traces to one specific, named mistake, not just marked “incorrect”.
  • Marks itself. You never hand-mark 100 questions or line up an answer key.
  • Bronze, Silver and Gold difficulty inside every test, not one test per level.
  • 40 diagrams drawn from 32 different types, so no two tests look alike.
  • Set in real places and everyday situations, market stalls, bus fares, school trips, so the maths reads like life, not a worksheet.

Try a free timed maths test first.

Twenty questions in twenty minutes, in the GL format, marked the moment your child finishes, with a breakdown of which topics need work. No sign-up.

Start the free test

Is this right for your child?

Buy it if

  • Year 5 or early Year 6, six to twelve months before the test
  • They know the maths but lose marks to time pressure or careless slips
  • You want to find the weak topics rather than guess at them

Skip it if

  • They are meeting these topics for the first time, this tests, it does not teach
  • You need written-answer practice with method marks, as CSSE and most independent papers set
11+ Maths Practice
11+
Pack 2
11+ maths for GL, CEM-style, CSSE, SET and independent entrance
100questions across 4 timed tests
Live exam + printable PDF
Maths Pack · 11+ Maths

Maths Practice Pack 2

NewBe the first to review this pack
£16.99
one-off · permanent access, no subscription

An hour of 11+ tuition runs £35–£45, and buys you that hour. This is 100 questions with a worked solution on every one, about 17p each, and they are yours to sit again, or print, whenever you like.

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Find a wrong answer and we’ll refund you in full.All 100 answers were independently re-solved before release. If you find one we got wrong, email the question number to hello@grammarpath.co.uk and you get your money back.
Secure checkout Instant access Every question fact-checked
See exactly what you get

Watch the whole thing, question to result

Half a minute, start to finish, sitting it, and the results screen at the end.

Every screen in this video is the real exam engine, nothing staged or mocked up.

Sample explanations

This is what every wrong answer gets

Three real questions from the pack, with the explanation exactly as it appears in the mark scheme, one Bronze, one Silver, one Gold.

Q2BronzeMoney

A café in Stirchley sells a sandwich for £3.40 and a juice for £1.85. Nadia buys one of each and pays with a £10 note. How much change does she receive?

A£5.25B£6.60C£4.75D£8.15E£4.65
Worked solution
1Add the two prices: £3.40 + £1.85 = £5.25.
2Subtract from the £10 note: £10.00 − £5.25 = £4.75 change.
Where marks are lost
Every wrong option is a specific error: A Gave the total spent instead of the change received.  ·  B Subtracted only the sandwich, forgetting the juice (10−3.40).  ·  D Subtracted only the juice, forgetting the sandwich (10−1.85).  ·  E Made an addition slip, totalling £5.35 instead of £5.25.
Tip for parents

Watch for pupils who give the total spent rather than the change; the question asks what comes back.

Q9SilverMeasures and Unit Conversion

A running club at Cannon Hill Park sets out a course of 1.6 kilometres. Rafi runs the course 3 times and then walks a further 450 metres to cool down. How many metres does Rafi cover altogether?

A4800B2050C930D5250E6150
Worked solution
1Convert the course: 1.6 km = 1600 m.
2Three runs: 3 × 1600 = 4800 m.
3Add the cool-down walk: 4800 + 450 = 5250 m.
Where marks are lost
Every wrong option is a specific error: A Forgot to add the 450 m cool-down walk.  ·  B Ran the course once instead of three times (1600+450).  ·  C Treated 1.6 km as 160 m instead of 1600 m.  ·  E Added the 450 m walk after each of the three runs instead of once.
Tip for parents

The conversion must come first; pupils who work in kilometres then add 450 metres mix units.

Q17GoldReverse Reasoning

Ada spent a third of her savings on a bike helmet and then spent £14 on lights. She had £46 left afterwards. How much money did Ada have at the start?

A£90B£60C£120D£80E£138
Worked solution
1Work backwards by adding the lights: £46 + £14 = £60.
2The £60 is what remained after a third was spent, so it is two-thirds of the savings.
3One third is £60 ÷ 2 = £30, so the savings were 3 × £30 = £90.
Where marks are lost
Every wrong option is a specific error: B Added the £14 back but did not undo the third spent on the helmet.  ·  C Treated the remaining money as half of the savings instead of two-thirds.  ·  D Treated the remaining money as three-quarters of the savings.  ·  E Multiplied the £46 by 3 instead of working backwards through both steps.
Tip for parents

The step pupils miss is recognising £60 as two-thirds rather than the whole; undoing the fraction must come last.

See the same detail on all 100 questions.

4 timed tests, a worked solution on every question, and the named mistake behind every wrong option. Yours permanently, no subscription.

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Buying more than one? All 4 packs together are £54.99, £12.97 less than £67.96 bought separately, and 400 questions with none repeated between them.

How we check

We check the answers before you have to.

Most 11+ material asks you to take the answer key on trust. Ours is machine-checked and the check is tied to the questions by a content hash, edit a question and the build refuses to produce the pack until it has been verified again. That is a gate in the build, not a promise on a sales page.

Every answer re-solvedAll 100 questions were solved again from scratch by a separate check and compared with the stated answer. All 100 agreed.
Every wrong option namedEach of the four wrong options traces to one specific misconception, so a wrong answer tells you which mistake was made.
Checked against the whole rangeQuestions and diagrams are compared across every pack we sell, so nothing you buy twice is the same question twice.

Before you buy

TestDifficultyQuestionsTimer
1Test 1Bronze → Silver → Gold2520 min
2Test 2Bronze → Silver → Gold2520 min
3Test 3Bronze → Silver → Gold2520 min
4Test 4Bronze → Silver → Gold2520 min
100questions
4timed tests
80minutes of practice
19sub-topics covered
  • Money 17
  • Fractions 10
  • Data Handling 8
  • Multiplication and Division 8
  • Percentages 8
  • Measures and Unit Conversion 7
  • Area 6
  • Time and Timetables 5
  • Averages 4
  • Ratio and Proportion 4
  • Reverse Reasoning 4
  • Speed, Distance and Time 4
  • Volume and Capacity 4
  • Angles 3
  • Perimeter 3
  • Coordinates 2
  • Number and Place Value 1
  • Probability 1
  • Shape and Symmetry 1
  1. Buy once. Your link and PDF download land straight away, no account, no subscription.
  2. Sit a test. Each of the 4 tests is timed and works in any browser, or print the PDF instead.
  3. See everything. It marks itself the moment you finish, with the worked solution and the named mistake behind every wrong option.

Which exam is this for?

11+ maths for GL, CEM-style, CSSE, SET and independent entrance. The 11+ maths syllabus is national, number, fractions, ratio, percentages, measures, shape, area and data are tested by every board, so the content suits all of them. What differs is format. Every question here is five-option multiple choice against the clock, which mirrors GL and CEM-style papers directly. If your child sits a written-answer paper such as CSSE in Essex or an independent school's own, use these to build topic fluency and speed, then rehearse setting out working on that school's past papers. A few questions are set in West Midlands places such as the Bull Ring, that's local colour, and the maths is identical wherever you live.

Is this one topic or mixed?

Mixed, like the real paper, 100 questions spread over 19 topics, from number and money to area, angles and data handling.

Do I need to install anything?

No. It's a link that opens in the browser on a laptop, tablet or school Chromebook. The PDF is a normal download.

How long do I have access?

Permanently. It's a one-off purchase, not a subscription, and the PDF is yours to keep and reprint.

£16.99
one-off · instant access
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