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Math Exam Questions with Answers for GCSE Foundation Level

Get practice questions and answers for GCSE Foundation Level exams. Covers topics like perimeter, volume, probability, and more.

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Math Exam Questions with Answers for GCSE Foundation Level

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  1. GCSE LINEAR EXAM QUESTIONS (FOUNDATION) AUTHOR www.mistrymaths.co.uk

  2. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 16 Perimeter is the length around the shape. Count the numbers of squares inside the shape. 12 2 cm

  3. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 15 Count the number of cubes.

  4. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS What the 3D shape looks like from the side.

  5. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Scale goes up in ones. 33 Scale goes up in tens. 180 0.27 Scale goes up in fives. 110 Scale goes up in 0.01s.

  6. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS £1 = €1.68 x325 x325 £325 = €546 546 €117 ÷ €1.50 = 78 Multiplier £1 = €1.50 x78 x78 £78 = €117 78

  7. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 8.45 10.24 – 6.51 8.45 = 3.73 2.26541555 2 2.2654155

  8. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS FX Midpoint 3 45 9 225 15 300 21 252 27 216 1038 80 Total = 1038 Mean = = 13.0 mins (1d.p.) 80 (Total 3 marks)

  9. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Circumference is the full length around a circle Diameter Circumference = π x diameter Circumference = 3.14 x 8 Circumference = 25.12cm Length of arc (semi-circle) = 25.12 ÷ 2 = 12.56cm Perimeter = 12.56cm + 8cm = 20.56cm(2 d.p.) (Total 3 marks)

  10. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Because triangle is isosceles 70° 70° Angles add up to 180° in a triangle. y = 180° - 70° - 70° y = 40° y = 40° (Total 2 marks)

  11. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS / / / / / / / / / / / / / / / / Smallest number = 43 Biggest number = 62 4 3 7 7 5 3 5 7 8 8 0 6 3 8 5 1 2 2 6 / means 3 5 53 (Total 3 marks)

  12. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Volume of prism = area of cross-section x length Volume of prism = area of triangle x length base x height 4 x 3 x length Volume of prism = 2 2 x 20 Volume of prism = 120 Volume of prism = 6 x 20

  13. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Kite

  14. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 10:10 14 30 This is where the line is horizontal: 10:40 to 11:10 (1)

  15. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Does not take into account those who do not buy DVDs. Answer response section overlaps.

  16. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS -2 4 7 y = 3 x -2 + 4 = -2 y = 3 x 0 + 4 = 4 y = 3 x 1 + 4 = 7 x x x x x

  17. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 68° y = 180° - 68° 112 Alternate angles (Z angles) are the same and angles on a straight line add up to 180°.

  18. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 𝑥 High or Low 1 3 3 3 3 3 2+ 10 x 2 = 28 1+ 10 x 1 = 11 3 1.9+ 10 x 1.9 = 25.86 1.85+ 10 x 1.85 = 24.83 1.5+ 10 x 1.5 = 18.38 1.8+ 10 x 1.8 = 23.83 Too low 2 Too high Replace x with 1 1.5 Too low 1.8 Too low 1.9 Too high 1.85 Too low ANSWER = 1.9 (closest to 25) 1.9

  19. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Probability adds up to 1. P(Yellow) = 1 – 0.15 – 0.30 – 0.35 0.2 Red ribbons = 0.30 of 500 30 of 500 Red ribbons = x 100 ÷ 150

  20. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Base angles in an isosceles triangle are always the same. +10 +10 ÷2 ÷2 20

  21. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Area of a triangle = Area of a triangle = 42 base x height 14 x 6 Have to use Pythagoras’ Theorem. Only works in right-angled triangles 2 2 15.23

  22. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS = = Dividing by 0.5 is the same as multiplying by 2 7 x 20 140 0.5 0.5 280

  23. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS LEARN OFF BY HEART 120mph x 1.6 = 192km/h Therefore, Car B has a greater maximum speed by 8km/h (Total 2 marks)

  24. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 2 x 5 + 3 x -1 H = 10 - 3 H = 7 2 3 x (-4) 3 x 16 P = P = 48

  25. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS FILM A FILM B 40% = = + 9 2 40 2 16 31 31 15 3 3 40 5 5 40 100 40 8 40 8 40 + = FILM C 1 - = (Total 3 marks)

  26. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 5cm Total Area = Total Area = 2 2 2 3 2 4800cm 10cm + 14cm 24cm x 200cm 24cm 200cm Volume = Volume = 2 2 x 7 = 14cm 2 x 5 = 10cm 2 Density = Mass = Density x Volume Mass Mass = 8 x 4800 Volume 38400g

  27. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Area of big circle = Area of small circle = Area of big circle = 3.14 x 6 x 6 Area of small circle = 3.14 x 5 x 5 2 2 2 2 113.04m 78.5m 78.5m 113.04m - Area of big circle = Area of small circle = Area of path = 2 34.45m Area of path = 34.5

  28. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS x C 066 Bearings must be written as 3 figures

  29. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Large Box SMALL BOX LARGE BOX 2kg = £1.72 9kg = £7.65 ÷2 ÷9 ÷2 ÷9 1kg = £0.86 1kg = £0.85 Large box is 1p cheaper per kilogram (Total 3 marks)

  30. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 10% of £360 = £36 5% of £360 = £18 2.5% of £360 = £9 17.5% of £360 = £63 Total cost = £360 + £63 423

  31. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS (x + y must sum to equal 4) (-2,6) y = 6 (0,4) y = 4 (2,2) y = 2 x x x (Total 3 marks)

  32. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS (Total 2 marks)

  33. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS $322 ÷ $1.84 = 175 £1 = $1.84 x175 x175 £175 = $322 175 Distance 7120 Multiplier 8 Time Speed = Speed = 890

  34. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Simplify fully 7x − 2(x − 3y) − 4y Solve 4x + 1 = 2x + 12 = 7x + 6y - 4y - 2x + 2y 5x = Express 72 as a product of its prime factors. 72 Use the information that 322 × 48 = 15 456 to find the value of (a) 3.22 × 4.8 .....................................(1) (b) 0.322 × 0.48 .....................................(1) (c) 15 456 ÷ 4.8 .....................................(1) 8 9 15.456 4 2 3 3 0.15456 2 2 3220 ANSWER = 2 X 2 X 2 X 3 X 3 =

  35. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS x5 x5 15 Expand and simplify (y + 4)(y + 5) Solve 4(2x – 3) = 5x + 7 8x – 12 = 5x +7 2 2 = + 5y + 20 y y + 4y 3x – 12 = 7 3x = 19 + 9y + 20 =

  36. 3 0 1 1 6 6 8 4 2 0 1 8 1 4 8 1 8 4 GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Work out 3.16 × 68 without a calculator 3 1 6 6 8 2 8 Answer = 214.88

  37. TRANSFORMATIONS EXAM QUESTIONS Centre of enlargement Enlargement of scale factor one half from centre (1,3) A reflection in the line x = -1

  38. TRANSFORMATIONS EXAM QUESTIONS

  39. TRANSFORMATIONS EXAM QUESTIONS Rotation of 90° clockwise from centre (1,1) On graph

  40. TRANSFORMATIONS EXAM QUESTIONS Q R A reflection in the line y = x Rotation of 180° from centre (0,0)

  41. TRANSFORMATIONS EXAM QUESTIONS x = 5 5 1 0 3 2.5 180 5

  42. TRANSFORMATIONS EXAM QUESTIONS -4 1

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