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

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

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

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. 180 110 Scale goes up in fives. 0.27 Scale goes up in 0.01s.

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

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

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

9. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Circumference is the full length around a circle Circumference = π x diameter 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 70° Because triangle is isosceles Angles add up to 180° in a triangle. y = 180° - 70° - 70° y = 40° (Total 2 marks)

11. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 4 5 6 Smallest number = 43 Biggest number = 62 3 / 5 / 7 / 7 / 0 / 3 / 3 / 5 / 6 / 7 / 8 / 8 / 8 / 1 / 2 / 2 / 5 / 3 means 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 Volume of prism = base x height 2 x length Volume of prism = 4 x 3 2 x 20 Volume of prism = 6 x 20 120

13. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Kite

14. GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS 10:10 14 This is where the line is horizontal: 10:40 to 11:10 30 (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 y = 3 x -2 + 4= -2 -2 y = 3 x 0 + 4= 4 4 y = 3 x 1 + 4= 7 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 High or Low 1 1 + 10 x 1 = 11 3 Replace x with 1 Too low 2 2 + 10 x 2 = 28 3 Too high 1.5 1.5 + 10 x 1.5 = 18.38 3 Too low 1.8 1.8 + 10 x 1.8 = 23.83 3 Too low 1.9 1.9 + 10 x 1.9 = 25.86 3 Too high 1.85 1.85 + 10 x 1.85 = 24.83 3 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 Red ribbons = of 500 30 100 ÷ x 150

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

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

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

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

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

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

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

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

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

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

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

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

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

34. Simplify fully 7x − 2(x − 3y) − 4y Solve 4x + 1 = 2x + 12 Express 72 as a product of its prime factors. 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) GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS - 2x =7x+ 6y- 4y = 5x + 2y 72 89 4233 22 ANSWER = 2 X 2 X 2 X 3 X 3 = 15.456 0.15456 3220

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

36. 3 1 6 6868 1 8 0 6 3 6 2 4 8 0 8 4 8 8 1 4 1 1 1 2 GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Work out 3.16 × 68 without a calculator Answer = 214.88

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

38. TRANSFORMATIONS EXAM QUESTIONS

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

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

41. x = 5 5 0 180 5 2.5 1 3

42. -4 1 TRANSFORMATIONS EXAM QUESTIONS