Fifteen original 11+ maths practice questions in three timed sets, written in the style of the main tests and not copied from any real paper. Most 11+ maths is built on the KS2 curriculum up to Year 5; what makes it harder than school work is speed and multi-step problems, not new topics.
What is ClassArc?
ClassArc is live one-to-one online maths tutoring for school-age children. One teacher and one child, for 55 minutes. The same teacher every week. Classes run inside our own classroom software, not a video call: a shared worksheet you both write on, a shared whiteboard, and answers that sync live.
Start here
11+ maths tests the key stage 2 curriculum, mostly up to the end of Year 5, under time pressure and with more steps per question than a school worksheet. The fifteen questions below are grouped into three short timed sets: number and calculation, problem solving and algebra, and measurement, geometry and data.
Have your child do a set without a calculator and within the suggested time, then mark it against the worked answers. Look at the method as well as the result: a right answer reached slowly is still a problem in a timed test.
This page covers 11+ maths only. ClassArc teaches the maths part of 11+ preparation; we don't teach verbal reasoning, non-verbal reasoning or English, so for those you will need other preparation.
Set A · about 6 minutes
Five questions, no calculator. Answers are under each question; cover them first.
What is ⅜ of 96 added to 25% of 64? A) 44 B) 48 C) 52 D) 56 E) 60
C) 52. 96 ÷ 8 = 12, × 3 = 36. 25% of 64 is 64 ÷ 4 = 16. 36 + 16 = 52.
Where it usually goes wrong Dividing by the numerator. The denominator says what to divide by.
Round 4,596,381 to the nearest ten thousand.
4,600,000. The ten-thousands digit is 9 and the next digit is 6, so round up: 59 ten-thousands becomes 60.
Where it usually goes wrong Writing 4,590,000 or 4,500,000 when the 9 rolls over.
7 × ☐ − 18 = 45
9. Work backwards: 45 + 18 = 63, and 63 ÷ 7 = 9.
What is the smallest number greater than 1 that leaves a remainder of 1 when divided by 2, 3, 4, 5 or 6?
61. It is one more than a common multiple of all five. The lowest common multiple is 60 (it needs 2 × 2, 3 and 5), so 60 + 1 = 61. Check: 61 ÷ 4 = 15 r 1.
Which is largest? A) ⅝ B) 0.6 C) 13/20 D) 7/12
C) 13/20. As decimals: 0.625, 0.6, 0.65 and about 0.583. Twentieths convert quickly to hundredths: 13/20 = 65/100.
Set B · about 8 minutes
Five multi-step problems. Trying values is a perfectly good method at this age.
A pen costs p pence. A ruler costs 15p more than a pen. Three pens and two rulers cost £1.80 altogether. How much does one pen cost?
30p. Without the extra 15p on each ruler, five items would cost 180 − 30 = 150p, so 30p each. Algebra: 3p + 2(p + 15) = 180, 5p = 150. Check: 90 + 90 = 180.
Sam is three times as old as his sister. In 4 years he will be twice as old as her. How old is Sam now?
12. Try the sister at 4: Sam is 12. In four years, 8 and 16, and 16 is double 8.
What comes next? 3, 7, 15, 31, …
63. Each term doubles and adds 1: 31 × 2 + 1. Or: the gaps 4, 8, 16 double, so the next gap is 32.
Mia and Tom share 84 sweets in the ratio 3 : 4. How many more sweets does Tom get than Mia?
12 more. Seven parts, so each is 84 ÷ 7 = 12. Mia 36, Tom 48. The difference is exactly one part.
Where it usually goes wrong Answering 48, the share, when the question asks how many more.
A coat costs £60. Its price rises by 20%, then the new price is cut by 20% in a sale. What is the sale price?
£57.60. £60 + £12 = £72; 20% of £72 is £14.40; £72 − £14.40 = £57.60.
Where it usually goes wrong Answering £60. The decrease is 20% of a bigger number, so it removes more than the rise added.
Set C · about 7 minutes
Five questions where units, cases and checking matter as much as the arithmetic.
A train leaves at 14:47 and the trip takes 1 hour 38 minutes. When does it arrive?
16:25. 14:47 + 1 hour = 15:47. Thirteen minutes reaches 16:00, leaving 25 more.
Where it usually goes wrong Adding times like decimals and writing 16:85.
A rectangle has a perimeter of 34 cm and one side of 12 cm. What is its area?
60 cm². The two 12 cm sides make 24, leaving 10 cm for the other two, so 5 cm each. 12 × 5 = 60.
One angle of an isosceles triangle is 40°. What could the other two be? Give both answers.
40° and 100°, or 70° and 70°. If 40° is one of the equal pair, the third is 100°. If it is the odd one, the other two share 140°.
Where it usually goes wrong Stopping at one case. 11+ papers reward checking for a second.
The mean of five numbers is 12. Four of them are 8, 15, 10 and 14. What is the fifth?
13. The total is 12 × 5 = 60. The four known numbers make 47, and 60 − 47 = 13.
How many cubes with 2 cm edges fit exactly inside a box measuring 10 cm × 6 cm × 4 cm?
30. Along each edge: 5, 3 and 2 cubes, and 5 × 3 × 2 = 30.
Where it usually goes wrong Dividing the volumes. It works here only because every edge divides exactly by 2; counting along the edges always works.
Scoring: 13–15 correct within the times is a strong result on this set. 9–12 points to speed or particular topics. Below 9, start with the set that had the most errors.
The tests
Which test your child sits depends on the school or area, not the family, and arrangements change more often than parents expect. Always check the school's or local authority's own admissions information.
| Test | Commonly used by | How the maths is set |
|---|---|---|
| GL Assessment | Many grammar-school areas in England | On paper. Depending on the area, multiple choice with a separate answer sheet or written answers. Content mainly from KS2. |
| ISEB Common Pre-Tests | Many independent schools, usually in Year 6 or late Year 5 | Online and adaptive: each question is chosen from how the last was answered. Maths draws on the national curriculum up to the end of Year 5, with a standard time of 40 minutes. |
| School-set or consortium papers | Many independent schools and some grammar schools | Usually written answers with working and longer multi-step problems. Schools often publish their own guidance or sample papers. |
ISEB details from ISEB's published Common Pre-Tests framework. Other providers are used in some areas; the area's admissions pages will name the test, its format and the registration deadline, which for grammar schools usually falls in the spring or summer of Year 5.
Saving marks
With a teacher
ClassArc's 11+ classes are maths only: 55 minutes, one teacher and one child, the same teacher every week. The first class checks the KS2 foundations — starting a little above where your child is and working back until the ground holds — then later classes move to timed problem solving in the style of your child's actual test.
Because teacher and child write on the same page, the teacher sees how a multi-step question is approached, not just the final number. Classes for this age are from £11 each on the largest block. For verbal reasoning, non-verbal reasoning and English you will need separate preparation.
the only 11+ paper we prepare for — we say so up front
Next
How one-to-one 11+ maths classes work, from the first check to timed practice.
11+ tutoringThe three KS2 papers, the scaled score, and the free past papers.
The SATsThe year most 11+ maths is drawn from, topic by topic.
Year 5 guideGuides and checklists from Year 1 to A-Level.
Browse them11+ maths questions
First class
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Last updated · May 2026
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Last updated · May 2026
ClassArc is a one-on-one online tutoring service. We provide live, scheduled classes between a teacher and a student, along with homework, feedback, and study support.
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