Eleven Plus Academy

11+ Maths Practice Questions & Answers

Genuine UK 11+ style Maths questions — fractions, percentages, ratio, algebra basics and word problems — with fully worked answers, so your child understands the method, not just the number.

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What does 11+ Maths actually cover?

11+ Maths isn't harder than school maths — it's the same core topics (arithmetic, fractions, percentages, ratio, basic algebra, time and money, shapes and sequences) asked in a calculator-free, exam-timed way that most children haven't practised before. The children who do best are the ones who've simply seen the question style before and have a quick, reliable method for each topic.

Try the four questions below — genuine 11+ style examples. Tap a question to reveal the worked answer.

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1. A school trip costs £8.75 per pupil. What is the total cost for 24 pupils?
  • A) £201.00
  • B) £210.00
  • C) £190.00
  • D) £216.00
Answer: B) £210.00. Break the multiplication into easier chunks: 8.75 × 20 = 175, then 8.75 × 4 = 35. Add them together: 175 + 35 = 210. Splitting a tricky multiplication into a "round number" part and a "leftover" part is one of the most useful tricks in the whole 11+ Maths paper.
2. What is 3/5 of 45?
  • A) 25
  • B) 27
  • C) 30
  • D) 24
Answer: B) 27. "Of" in maths means multiply. First divide 45 by the bottom number of the fraction: 45 ÷ 5 = 9 — that's what one fifth is worth. Then multiply by the top number: 9 × 3 = 27.
3. Simplify the ratio 18 : 24 to its lowest terms.
  • A) 3 : 4
  • B) 2 : 3
  • C) 6 : 8
  • D) 9 : 12
Answer: A) 3 : 4. Find the highest common factor of both numbers — for 18 and 24, that's 6. Divide both sides by it: 18 ÷ 6 = 3, and 24 ÷ 6 = 4, giving 3 : 4.
4. If x + 7 = 22, what is the value of 3x?
  • A) 45
  • B) 15
  • C) 66
  • D) 51
Answer: A) 45. Undo what was done to x: since 7 was added, subtract 7 from both sides — 22 − 7 = 15, so x = 15. The question asks for 3x, not x, so multiply by 3: 3 × 15 = 45. Always check exactly what the question is asking for at the very end — it's a common place to lose an easy mark.

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More free practice: Free 11+ Verbal Reasoning practice → · Free 11+ Fractions questions → · Free 11+ Vocabulary questions →