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GCSE Maths Foundation Paper 1: printable

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GCSE Maths Foundation Paper 1 (non-calculator)

Name: ______________________   Date: __________   Marks: ____ / 80

Time: 90 minutes. You must not use a calculator. Answer all questions. Show your working. The marks for each part are shown in brackets. steplyclass.com/gcse-maths/foundation-paper-1/

  1. 1 Question 1

    Write 0.7 as a fraction.

    [1 mark]

    Answer: ____________________

  2. 2 Question 2

    Write 25 as a percentage.

    [1 mark]

    Answer: ____________________

  3. 3 Question 3

    Work out −6 + 13.

    [1 mark]

    Answer: ____________________

  4. 4 Question 4

    Work out 20 − 3 × 4.

    [1 mark]

    Answer: ____________________

  5. 5(a) Question 5(a)

    Work out 48 × 23. Show your working.

    [2 marks]

    Answer: ____________________

  6. 5(b) Question 5(b)

    Work out 672 ÷ 8. Show your working.

    [2 marks]

    Answer: ____________________

  7. 6(a) Question 6(a)

    Simplify 4a + 3b − a + 5b.

    [2 marks]

    Answer: ____________________

  8. 6(b) Question 6(b)

    Expand 4(x + 6).

    [1 mark]

    Answer: ____________________

  9. 6(c) Question 6(c)

    Factorise 5x − 20.

    [1 mark]

    Answer: ____________________

  10. 7(a) Question 7(a)

    Solve x4 = 7.

    [1 mark]

    Answer: ____________________

  11. 7(b) Question 7(b)

    Solve 3x − 5 = 16.

    [2 marks]

    Answer: ____________________

  12. 8 Question 8

    Work out the value of 4p − 3q when p = 5 and q = 2.

    [2 marks]

    Answer: ____________________

  13. 9 Question 9

    Write down an expression for the nth term of 4, 9, 14, 19, ...

    [2 marks]

    Answer: ____________________

  14. 10 Question 10

    Three angles meet at a point. Two of them are 120° and 95°. Work out the third angle.

    [2 marks]

    Answer: ____________________

  15. 11(a) Question 11(a)

    A rectangle is 9 cm long and 6 cm wide. Work out its area.

    [1 mark]

    Answer: ____________________

  16. 11(b) Question 11(b)

    Work out the perimeter of the same rectangle (9 cm by 6 cm).

    [1 mark]

    Answer: ____________________

  17. 12 Question 12

    A parallelogram has base 8 cm and perpendicular height 5 cm. Work out its area.

    [2 marks]

    Answer: ____________________

  18. 13 Question 13

    A cube has sides of 4 cm. Work out its volume.

    [1 mark]

    Answer: ____________________

  19. 14 Question 14

    A fair six-sided dice is rolled. Write down the probability that it lands on 1 or 6.

    [1 mark]

    Answer: ____________________

  20. Here are some numbers: 3, 5, 5, 7, 8, 5, 2.

    15(a) Question 15(a)

    Work out the mean.

    [2 marks]

    Answer: ____________________

  21. 15(b) Question 15(b)

    Write down the mode.

    [1 mark]

    Answer: ____________________

  22. 15(c) Question 15(c)

    Work out the range.

    [1 mark]

    Answer: ____________________

  23. 16(a) Question 16(a)

    Share £60 in the ratio 1 : 4.

    [2 marks]

    Answer: ____________________

  24. 16(b) Question 16(b)

    Write the ratio 24 : 36 in its simplest form.

    [1 mark]

    Answer: ____________________

  25. 17 Question 17

    Work out 30% of 90.

    [2 marks]

    Answer: ____________________

  26. 18(a) Question 18(a)

    Work out 3⁴.

    [1 mark]

    Answer: ____________________

  27. 18(b) Question 18(b)

    Work out √81.

    [1 mark]

    Answer: ____________________

  28. 19 Question 19

    Round 2648 to the nearest hundred.

    [1 mark]

    Answer: ____________________

  29. 20 Question 20

    Find the lowest common multiple (LCM) of 6 and 10.

    [2 marks]

    Answer: ____________________

  30. 21(a) Question 21(a)

    Work out 23 + 1/4. Give your answer as a fraction.

    [2 marks]

    Answer: ____________________

  31. 21(b) Question 21(b)

    Work out 34 × 2/5. Give your answer in its simplest form.

    [2 marks]

    Answer: ____________________

  32. 21(c) Question 21(c)

    Work out 23 ÷ 4/9. Give your answer in its simplest form.

    [2 marks]

    Answer: ____________________

  33. 22 Question 22

    Work out 3.6 − 1.45.

    [1 mark]

    Answer: ____________________

  34. 23 Question 23

    A coat costs £80. In a sale it is 25% off. Work out the sale price.

    [2 marks]

    Answer: ____________________

  35. 24 Question 24

    A train travels 240 km in 2 hours. Work out its average speed in km/h.

    [2 marks]

    Answer: ____________________

  36. 25 Question 25

    The point (3, 2) is reflected in the y-axis. Write down the coordinates of its image.

    [1 mark]

    Answer: ____________________

  37. 26 Question 26

    Work out the sum of the interior angles of a pentagon.

    [1 mark]

    Answer: ____________________

  38. 27 Question 27

    Solve 2x + 1 ≤ 9.

    [2 marks]

    Answer: ____________________

  39. 28 Question 28

    Write 76 000 in standard form.

    [1 mark]

    Answer: ____________________

  40. 29 Question 29

    Solve the simultaneous equations x + 2y = 8 and x − y = 2. Show your working.

    [3 marks]

    Answer: ____________________

  41. 30 Question 30

    Use a ruler and compasses to construct triangle ABC with AB = 8 cm, BC = 6 cm and AC = 7 cm. Show your construction arcs.

    [2 marks]

  42. 31 Question 31

    A right-angled triangle has shorter sides 5 cm and 12 cm. Work out the length of the longest side.

    [3 marks]

    Answer: ____________________

  43. 32 Question 32

    Write 84 as a product of its prime factors.

    [2 marks]

    Answer: ____________________

  44. 33 Question 33

    A price goes up from £40 to £46. Work out the percentage increase.

    [2 marks]

    Answer: ____________________

  45. 34 Question 34

    Simplify y⁵ × y³.

    [1 mark]

    Answer: ____________________

  46. 35 Question 35

    In a group of 30 people, 18 like tea, 15 like coffee and 7 like both. How many like neither?

    [3 marks]

    Answer: ____________________

  47. 36 Question 36

    Two parallel lines are crossed by a straight line. One of the corresponding angles is 64°. Work out the other corresponding angle, x.

    [2 marks]

    Answer: ____________________

  48. 37 Question 37

    I think of a number. I multiply it by 3 and add 7. The answer is 34. Work out the number I thought of.

    [3 marks]

    Answer: ____________________

  49. 38 Question 38

    A triangle has base 10 cm and height 7 cm. Work out its area.

    [2 marks]

    Answer: ____________________

Answers

  1. 1 710
  2. 2 40%
  3. 3 7
  4. 4 8
  5. 5(a) 1104
  6. 5(b) 84
  7. 6(a) 3a + 8b
  8. 6(b) 4x + 24
  9. 6(c) 5(x − 4)
  10. 7(a) x = 28
  11. 7(b) x = 7
  12. 8 14
  13. 9 an = 5n − 1
  14. 10 x = 145
  15. 11(a) A = 54 cm2
  16. 11(b) P = 30 cm
  17. 12 A = 40 cm2
  18. 13 V = 64 cm3
  19. 14 P(A or B) = 13
  20. 15(a) mean = 5
  21. 15(b) mode = 5
  22. 15(c) range = 6
  23. 16(a) 12 and 48
  24. 16(b) 2 : 3
  25. 17 30% of 90 = 27
  26. 18(a) 81
  27. 18(b) 9
  28. 19 2648 ≈ 2600
  29. 20 LCM(6, 10) = 30
  30. 21(a) 1112
  31. 21(b) 310
  32. 21(c) 32
  33. 22 2.15
  34. 23 sale price: £60
  35. 24 x = 120
  36. 25 P' = (−3, 2)
  37. 26 sum = 540°
  38. 27 x ≤ 4
  39. 28 7.6 × 104
  40. 29 (x, y) = (4, 2)
  41. 30 triangle ABC: AB = 8 cm, BC = 6 cm, AC = 7 cm
  42. 31 c = 13
  43. 32 84 = 22 × 3 × 7
  44. 33 15%
  45. 34 y8
  46. 35 4 like neither
  47. 36 x = 64
  48. 37 x = 9
  49. 38 A = 35 cm2

Full mark scheme: steplyclass.com/gcse-maths/foundation-paper-1/mark-scheme/

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