Lesson T2.3.2

T2.3.2 Modelling with algebra Quiz: KS3 Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson T2.3.2, Modelling with algebra: 20 multiple choice questions for the KS3 Maths (National Curriculum), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. Write an expression for twice the sum of n and 4.

    • n + 8
    • 2(n + 4)
    • 2n + 4
    • n + 4 + 2

  2. A rectangle has length 3 more than its width w. Which expression gives its perimeter?

    • 2w + 6
    • 4w + 6
    • 2w + 3
    • 4w + 3

  3. Sam is x years old and his sister is 4 years older. Which expression gives the sum of their ages in 2 years?

    • 2x + 8
    • 2x + 4
    • 2x + 6
    • x + 6

  4. Three times a number n, plus 5, equals 20. Which equation models this?

    • 3(n + 5) = 20
    • 3n - 5 = 20
    • 3n + 5 = 20
    • n + 15 = 5

  5. A phone plan costs £12 plus £5 per month. How many months cost £62 in total?

    • 12 months
    • 10 months
    • 8 months
    • 50 months

  6. A rectangle has perimeter 30 cm. Its length is 3 cm more than its width. What is the width?

    • 3 cm
    • 9 cm
    • 6 cm
    • 12 cm

  7. The angles of a triangle are x, 2x and 3x degrees. What is x?

    • 30
    • 60
    • 45
    • 36

  8. Two consecutive even numbers add up to 58. What is the smaller number?

    • 28
    • 29
    • 30
    • 26

  9. A pen costs p pounds. Four pens and a £2.50 pencil case cost £14.50. How much is one pen?

    • £3
    • £4
    • £12
    • £2.50

  10. Six children each get 7 sweets from a bag of s sweets, with 2 sweets left over. How many sweets were in the bag?

    • 9
    • 42
    • 46
    • 44

  11. Which equation models 'a number minus 7 is three times the number'? Use n for the number.

    • n - 7 = n/3
    • n + 7 = 3n
    • 3(n - 7) = n
    • n - 7 = 3n

  12. A bike hire costs £8 plus £2 per hour. Which expression gives the cost for h hours?

    • (8 + 2)h
    • 8h + 2
    • 2h
    • 8 + 2h

  13. The equation 4(x - 2) = 2x + 6 models a problem. What is x?

    • 7
    • 5
    • 2
    • -7

  14. A car travels d km at 60 km/h. How many minutes does the journey take?

    • d + 60 minutes
    • 60d minutes
    • d/60 minutes
    • d minutes

  15. Notebooks cost £1.20 each and pens cost £0.80 each. Write an expression for the total cost of n notebooks and 3 pens.

    • 1.2n + 0.8
    • 4n + 2
    • 1.2(n + 3) + 0.8
    • 1.2n + 2.4

  16. Two numbers differ by 5 and add up to 33. What is the larger number?

    • 38
    • 14
    • 28
    • 19

  17. Adult tickets cost £8 and child tickets cost £4. Three adults and c children pay £36 in total. How many children are there?

    • 9
    • 3
    • 12
    • 6

  18. Two numbers are in the ratio 2:3 and sum to 45. What is the smaller number?

    • 22.5
    • 18
    • 15
    • 27

  19. In a test each correct answer scores 3 and each wrong answer scores -1. There are 20 questions and the score is 32. How many were correct?

    • 12
    • 16
    • 14
    • 13

  20. A triangle has sides x, x + 2 and 2x - 1 with perimeter 25. What is x?

    • 7
    • 5
    • 6
    • 4

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