GCSE LINEAR EXAM QUESTIONS FOUNDATION AUTHOR www mistrymaths

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

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

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

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

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Scale goes up in ones. 33 Scale goes up in tens. 180 Scale goes up in fives. Scale goes up in 0. 01 s. 110 0. 27

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS x 325 £ 1 = € 1. 68 £ 325 = € 546 x 325 546 € 117 ÷ € 1. 50 = 78 x 78 £ 1 = € 1. 50 £ 78 = € 117 Multiplier x 78 78

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS = 8. 45 10. 24 – 6. 51 8. 45 3. 73 2. 26541555 2

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Midpoint FX 3 45 9 225 15 300 21 252 27 216 1038 80 Total = Mean = 1038 80 = 13. 0 mins (1 d. p. ) (Total 3 marks)

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. 12 cm Length of arc (semi-circle) = 25. 12 ÷ 2 = 12. 56 cm Perimeter = 12. 56 cm + 8 cm = 20. 56 cm (2 d. p. ) (Total 3 marks)

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

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

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 x length Volume of prism = 2 4 x 3 x 20 Volume of prism = 2 Volume of prism = 6 x 20 120

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Kite

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

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

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

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°.

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS High or Low 3 1 1 + 10 x 1 = 11 Too low 3 2 2 + 10 x 2 = 28 Too high Replace x with 1 3 1. 5 + 10 x 1. 5 = 18. 38 Too low 3 1. 8 + 10 x 1. 8 = 23. 83 Too low 3 1. 9 + 10 x 1. 9 = 25. 86 Too high 3 Too low 1. 85 + 10 x 1. 85 = 24. 83 ANSWER = 1. 9 (closest to 25) 1. 9

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 x 30 of 500 Red ribbons = 100 ÷ 150

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

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS base x height Area of a triangle = 2 14 x 6 Area of a triangle = 2 42 Have to use Pythagoras’ Theorem. Only works in right-angled triangles 15. 23

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

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS LEARN OFF BY HEART 120 mph x 1. 6 = 192 km/h Therefore, Car B has a greater maximum speed by 8 km/h (Total 2 marks)

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

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

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

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Area of big circle = 3. 14 x 6 Area of big circle = 113. 04 m 2 Area of small circle = 3. 14 x 5 Area of small circle = 78. 5 m 2 2 Area of path = 113. 04 m - 78. 5 m 2 2 Area of path = 34. 45 m 34. 5

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

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Large Box SMALL BOX ÷ 2 2 kg = £ 1. 72 1 kg = £ 0. 86 LARGE BOX ÷ 2 ÷ 9 9 kg = £ 7. 65 1 kg = £ 0. 85 ÷ 9 Large box is 1 p cheaper kilogram (Total 3 marks)

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

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

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS (Total 2 marks)

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS $322 ÷ $1. 84 = 175 x 175 £ 1 = $1. 84 £ 175 = $322 Multiplier x 175 Distance Time 7120 Speed = 8 Speed = 890

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Simplify fully 7 x − 2(x − 3 y) − 4 y Solve 4 x + 1 = 2 x + 12 = 7 x - 2 x + 6 y - 4 y = 5 x + 2 y Express 72 as a product of its prime factors. 72 8 4 2 Use the information that 322 × 48 = 15 456 to find the value of (a) 3. 22 × 4. 8 15. 456. . . . . (1) 9 2 3 3 2 ANSWER = 2 X 2 X 3 = (b) 0. 322 × 0. 48 0. 15456. . . . . (1) (c) 15 456 ÷ 4. 8 3220. . . . . (1)

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

GCSE FOUNDATION EXAM QUESTIONS WITH ANSWERS Work out 3. 16 × 68 without a calculator 3 2 1 1 3 0 1 1 6 8 2 1 1 6 6 4 0 4 4 6 8 8 Answer = 214. 88 8

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

TRANSFORMATIONS EXAM QUESTIONS

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

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

TRANSFORMATIONS EXAM QUESTIONS x=5 5 0 180 5 2. 5 1 3

TRANSFORMATIONS EXAM QUESTIONS -4 1