1. EVERYTHING YOU NEED TO KNOW TO GET A GRADE C GEOMETRY & MEASURES (FOUNDATION) Part 2

2. 2 2 1 2 1 1

4. 3 Volume is the space inside the box (number of centimetre cubes that will fit in) 8 cubes 8 more cubes required to fill box 8 cubes + 8 cubes = 16 cubes 16

5. Volume = length x width x height 48 = length x width x height 8 x 2 x 3 Length WidthHeight 8 x 74 2 x 74 3 x 108 592 148 324 Round the answers 600 150330

6. 5cm 3cm 4cm Volume of a cuboid = length x width x height Volume of cuboid = 5 x 3 x 4 Volume of cube= 2 x 2 x 2 = 7.5 7

7. Volume of a cuboid = length x width x height Volume of cuboid = 30 x 12 x 4 1440 3 Amount of paint = 10 x 30 93

8. Volume of cylinder = area of circle x length LEARN Volume of cylinder = 3.14 x 3 x 3 x 10 Amount of glasses filled = 14.2 14

9. Cuboid A Cuboid B Volume of cuboid A = length x width x height Volume of cuboid A = 20 x 20 x 15 d x 20 x 20 = 7000 400d = 7000 d = 17.5 17.5

10. radius Volume of cylinder = area of circle x length 0.5cm

11. x x x

12. 6 RIGHT 6 DOWN 6 RIGHT 6 DOWN 6 RIGHT 6 DOWN 6 RIGHT 6 DOWN ( ) 6 -6 180° either clockwise or anticlockwise from the origin (0,0)

13. 2 RIGHT 4 DOWN 2 RIGHT 4 DOWN 2 RIGHT 4 DOWN (because it’s half the size) -2

14. Rotation 180° either clockwise or anticlockwise from the origin (0,0)

15. 2 RIGHT 3 DOWN 2 RIGHT 3 DOWN 2 RIGHT 3 DOWN 2 RIGHT 3 DOWN 2 RIGHT 3 DOWN y = 1 A B C

16. Identical B F A 2 (because shape A is twice the size of shape C) Three times bigger

17. = 2.4 = 2.5 The scale factor of enlargement for both respective sides must be equal.

19. PYTHAGORAS’ THEOREM Hypotenuse 6.5

20. Angles in a triangle add up to 180° 90° 100° A Pythagoras’ Theorem only works in right angles triangles.

21. 3.2 PYTHAGORAS’ THEOREM

22. Angles in a triangle add up to 180° 8.7m 45° 45° angle forms an isosceles triangle. Both base length and height length of the triangle are the same. Height of pole = 8.7 + 1.45 10.15 1m 5

23. Not the hypotenuse PYTHAGORAS’ THEOREM

24. (a) 1.8 4.4 (Any value from 4.3 – 4.8)

25. £1 100p So £10 1000p = 500 Weight of all the 2p coins = 500 x 7 = 3500g 1kg = 1000g 3.5

26. = 2 72 7476 78 76 = 10 310 320 330 340 350 360 370 380 390 340 = 2 82 84 86 88 87

27. cm or mm litres tonnes

28. LEARN Distance = Speed x Time 1.75hours Distance = 80 x 1.75 140 2h 15mins135mins Stage 2 Distance = 190 - 140= 50km Stage 2 Time = 2h 15mins – 1h 45mins = 30mins = 0.5hour ÷0.5 is the same as multiplying by 2 100

29. LEARN 45 LEARN 3h 30mins3.5hours 57.1

30. LEARN Time = 5.2 hours 0.2 hour = 0.2 of 60mins ÷ x = 12mins 5 12

31. NW C ÷ x 2 N 055 Must be written as 3 figures

32. REGION

33. 37° 180 ° 110 ° 290 ° 6.2 cm 6.2 cm x 5 31

34. C

35. 026 26° 180° 115° 295° 295

37. L M equidistant from two fixed points.

39. 6.5cm 43°

42. 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)

43. 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