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11+ maths worksheet

12 questions to print

Answers and a worked line for each question print on a separate page.

11+ maths worksheet: Mixed topics, CoreName ____________________ Date __________ Score ____ / 12

  1. The digits 0, 2, 5 and 8 are each used once to make a four-digit number. What is the difference between the greatest and smallest possible numbers?

    • A 6462
    • B 10578
    • C 6552
    • D 8262
    • E 6468

  2. A shop buys 24 badges for £18 and sells each one for £1.20. All badges are sold. What is the profit?

    • A £10.80
    • B £0.45
    • C £6
    • D £28.80
    • E £18

  3. A film lasts 1 hour 47 minutes. It starts at 18:38 and has a 15-minute interval added to its running time. When does it finish?

    • A 19:40
    • B 20:30
    • C 20:40
    • D 20:55
    • E 20:25

  4. Seven lengths, in centimetres, are 12, 8, 15, 11, 19, 10 and 16. What is their median?

    • A 12 cm
    • B 16 cm
    • C 13 cm
    • D 15 cm
    • E 11 cm

  5. What is 7,206 minus 2,849?

    • A 5,357
    • B 4,357
    • C 4,457
    • D 10,055
    • E 4,363

  6. Adult tickets cost £7 and child tickets cost £4. What do two adults and three children pay altogether?

    • A £29
    • B £22
    • C £11
    • D £26
    • E £33

  7. A rectangle is 13 cm long and 7 cm wide. What is its perimeter?

    • A 22 cm
    • B 26 cm
    • C 91 cm
    • D 20 cm
    • E 40 cm

  8. Books borrowed: Monday 28, Tuesday 35, Wednesday 19, Thursday 42. How many books were borrowed altogether?

    • A 114
    • B 77
    • C 124
    • D 96
    • E 105

  9. Which number is a multiple of both 6 and 8, but not a multiple of 9?

    • A 54
    • B 64
    • C 36
    • D 48
    • E 72

  10. A sandwich stall offers 3 types of bread and 4 fillings. A sandwich uses exactly one bread type and exactly one filling. One particular bread-filling combination is unavailable. How many different sandwiches can be chosen?

    • A 6
    • B 9
    • C 11
    • D 12
    • E 13

  11. A temperature is minus 4°C at dawn. It rises by 9°C, then falls by 6°C. What is the final temperature?

    • A minus 19°C
    • B minus 7°C
    • C minus 1°C
    • D 1°C
    • E 11°C

  12. A shop records its stock of pens: Monday morning 85; pens delivered during Monday 48; pens sold during Monday 57; pens sold during Tuesday 39. There are no other changes. How many pens remain on Tuesday evening?

    • A 37
    • B 85
    • C 76
    • D 28
    • E 115

Answers

  1. A The greatest number is 8520. The smallest is 2058 because zero cannot be first. Subtract: 8520 minus 2058 = 6462.
  2. A Total sales income is 24 × £1.20 = £28.80. Profit is income minus buying cost: £28.80 minus £18 = £10.80.
  3. C 18:38 plus 1 hour 47 minutes is 20:25. Add the 15-minute interval: the finish is 20:40.
  4. A Order the lengths: 8, 10, 11, 12, 15, 16, 19. With seven values, the fourth is the middle one. The median is 12 cm.
  5. B Subtract 2,800 first: 7,206 − 2,800 = 4,406. Then subtract 49: 4,406 − 50 + 1 = 4,357.
  6. D Two adults cost 2 × £7 = £14. Three children cost 3 × £4 = £12. Total cost = £14 + £12 = £26.
  7. E A rectangle has two sides of each length. Add 13 + 7 = 20. Double this: 2 × 20 = 40 cm.
  8. C Group convenient pairs: 28 + 42 = 70 and 35 + 19 = 54. 70 + 54 = 124.
  9. D Multiples of both 6 and 8 are multiples of 24. 48 divides exactly by 6 and 8, but not by 9. Check all three conditions.
  10. C Each of the 3 breads can pair with 4 fillings, giving 3 × 4 = 12 combinations. Remove the one unavailable combination: 12 minus 1 = 11.
  11. C Rising 9°C from minus 4°C gives 5°C. Falling 6°C from 5°C gives minus 1°C.
  12. A Monday ends with 85 + 48 minus 57 = 76 pens. Tuesday’s 39 sales leave 76 minus 39 = 37 pens.

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Questions people ask

Are these 11+ worksheets free?

Yes. There is no sign-up, and you can print as many sheets as you like.

Which level should we start with?

Start at Core. If your child gets 10 or more right, try Stretch; if fewer than 6, go back to Warm-up.

Do the worksheets include answers?

Yes. The answer and a worked line for every question print on a separate page, so you can keep them back while your child works.

Are these real 11+ questions?

No. They are original questions written in the style of the GL papers used in Kent, Bucks and most other areas.

How we work this out

What it does

Pick maths or verbal reasoning, a topic and a level. Print a sheet of up to 12 questions with the answers on a separate page.

93 maths and 72 verbal reasoning questions in the GL style, at three levels: warm-up, core and stretch.

Method

  1. Every question is original and was written for our Kent and Bucks courses, then solved again blind by a separate solver before it went on this page.
  2. A mixed sheet takes the topics in turn, so each topic appears before any repeats.
  3. Print from the button, or choose Save as PDF in your browser's print window. The answers page prints on its own sheet.