GM1.1 Consolidation Worksheet Answers
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1 Cambridge Essentials Mathematics Support 8 GM1.1 Consolidation Worksheet Answers GM1.1 Consolidation Worksheet Answers 1 a a = 60 Angles on a straight line add to 180. b b = 150 Angles on a straight line add to 180. c c = 100 Angles around a point add to 360. d d = 120 Angles around a point add to 360. e e = 55 Angles in a triangle add to 180. f f = 70 Two angles in an isosceles triangle are equal. g = 40 Angles in a triangle add to 180. g h = i = 75 Angles in a triangle add to 180, and two angles in an isosceles triangle are equal. h j = 70 Angles in a quadrilateral add to 360. i k = 120 Angles in a quadrilateral add to 360. j m = 65 Vertically opposite angles are equal. n = 115 Angles on a straight line add to 180. k p = 60 Angles in a triangle add to 180. q = 120 Angles on a straight line add to 180. l r = 65 Two angles in an isosceles triangle are equal. t = 50 Angles in a triangle add to 180. u = 50 Vertically opposite angles are equal.
2 Cambridge Essentials Mathematics Support8 GM1.2 Consolidation Worksheet Answers GM1.2 Consolidation Worksheet Answers 1 a 4 b 2 c 4 d square 2 a or b 3 a i rectangle ii 2 b i parallelogram ii none c i rhombus ii 2 4 a i (3, 4) ii (4, 3) iii ( 3, 4) b ( 4, 3) 5 Angles c, q and s 6 a a = 52 b b = a c = 64 b d = 117 Original material Cambridge University Press
3 Cambridge Essentials Mathematics Support 8 GM1.3 Consolidation Worksheet Answers GM1.3 Consolidation Worksheet Answers 1 a 126 b a 274 b Check accuracy of pupils drawings of angles of these sizes. a 28 b 132 c a DE = 5.5 cm b EF = 3.5 cm c DF = 7 cm d FDE = 30 e DEF = 98 f DFE = 52 5 a Check accuracy of pupils construction of triangle XYZ (with XY = 7.3 cm, YZ = 3.5 cm and XYZ = 75 ). b i XZ = 7.2 cm ii ZXY = 28
4 Cambridge Essentials Mathematics Support 8 GM2.1 Consolidation Worksheet 1 Answers GM2.1 Consolidation Worksheet 1 Answers 1 a 2 cm + 2 cm + 1 cm + 2 cm + 3 cm + 4 cm = 14 cm b 4 cm + 2 cm + 1 cm + 1 cm + 1 cm + 1 cm + 2 cm + 4 cm = 16 cm c 1 cm + 2 cm + 1 cm + 2 cm + 3 cm + 1 cm + 1 cm + 3 cm = 14 cm 2 a (4 + 2) 2 = 6 2 = 12 cm b c (9 + 3) 2 = 12 2 = 24 cm (1 + 5) 2 = 6 2 = 12 cm 3 a 8 cm 2 b 10 cm 2 c 11 cm 2 4 a 10 4 = 40 cm 2 b 9 3 = 27 cm 2 c 5 5 = 25 cm 2 d 20 8 = 160 cm 2 5 Base Height Perimeter Area 10 cm 3 cm 26 cm 30 cm 2 8 cm 5 cm 26 cm 40 cm 2 9 cm 6 cm 30 cm 54 cm 2 6 cm 4 cm 20 cm 24 cm 2 4 cm 4 cm 16 cm 16 cm 2
5 Cambridge Essentials Mathematics Support 8 GM2.1 Consolidation Worksheet 2 Answers GM2.1 Consolidation Worksheet 2 Answers 1 a (5 8) 2 = 20 cm 2 b (4 6) 2 = 12 cm 2 c (12 3) 2 = 18 cm 2 2 a 30 cm 2 b 72 m 2 c 50 cm 2
6 Cambridge Essentials Mathematics Support 8 GM2.2 Consolidation Worksheet Answers GM2.2 Consolidation Worksheet Answers 1 a 7 cubes b 10 cubes c 10 cubes 2 a b c 3 a 18 cubes b 31 cubes c 19 cubes 4 a 18 cm 3 b 31 cm 3 c 19 cm 3 5 a 45 cubes b 45 cm 3 c 5 cm d 3 cm e 3 cm f 5 cm 3 cm 3 cm = 45 cm 3. This is the volume of the cuboid. g Volume of a cuboid = length width height 6 a 8 cm 2 cm 2 cm = 32 cm 3 b 5 m 2 m 4 m = 40 m 3 c 7 cm 2 cm 3 cm = 42 cm 3 d 10 m 1 m 1 m = 10 m 3
7 Cambridge Essentials Mathematics Support 8 GM2.3 Consolidation Worksheet Answers GM2.3 Consolidation Worksheet Answers 1 a Check accuracy of pupils nets, drawn on centimetre square paper. b Length = 6 cm c Width = 5 cm d Height = 2 cm e Faces A and C f Faces B and D g Face E 2 a 30 cm 2 b Face E c 12 cm 2 d Face D e 10 cm 2 f Surface area = = 104 cm 2 3 a Surface area = 6 (2 2) = 24 cm 2 b Surface area = = = 112 cm 2 c Surface area = = = 58 cm 2
8 Cambridge Essentials Mathematics Support 8 GM2.4 Consolidation Worksheet Answers GM2.4 Consolidation Worksheet Answers 1 a A plan is the view of the 3-D shape from above. b An elevation is a view of the 3-D shape from the side, front or back. 2 a i side elevation ii plan iii front elevation b i plan ii front elevation iii side elevation 3 a b
9 Cambridge Essentials Mathematics Support 8 GM3.1 Consolidation Worksheet Answers GM3.1 Consolidation Worksheet Answers 1 A and K are congruent. 2 a 3 b 5 c 1 d 2 e 0 f 2 g 3 h 1 3 a 1 b 3 c 6 d 2 e 1
10 Cambridge Essentials Mathematics Support 8 GM3.2 Consolidation Worksheet Answers GM3.2 Consolidation Worksheet Answers 1 a b c 2 3
11 Cambridge Essentials Mathematics Support 8 GM3.3 Consolidation Worksheet Answers GM3.3 Consolidation Worksheet Answers 1 a b c 2 3 Scale factor 4 4 P = 8 cm
12 Cambridge Essentials Mathematics Support 8 GM4.1 Consolidation Worksheet Answers GM4.1 Consolidation Worksheet Answers 1 a = m b = 3 cm c = 4 m d = 2 km e = km f = 3600 cm g 5 10 = 50 mm h 5 10 = 0.5 cm i = 0.9 m j = 1.7 cm k = 3000 m l = km 2 a i 2 4 = 8 km ii 5 4 = 20 km iii 8 4 = 32 km iv 10 4 = 40 km v = 2 km vi = 14 km vii = 6 km viii = 34 km ix 6 4 = 24 km x = 38 km b i 20 4 = 5 cm ii 44 4 = 11 cm iii 12 4 = 3 cm iv 32 4 = 8 cm v 36 4 = 9 cm vi 48 4 = 12 cm vii 6 4 = 1.5 cm viii 18 4 = 4.5 cm ix 30 4 = 7.5 cm x 46 4 = 11.5 cm 3 a i 2 10 = 20 m ii 5 10 = 50 m iii 8 10 = 80 m iv 3 10 = 30 m v 7 10 = 70 m vi = 15 m vii = 35 m viii = 42 m ix = 65 m x = 58 m b i = 6 cm ii = 9 cm iii = 7.5 cm iv = 2.5 cm v = 4.8 cm
13 Cambridge Essentials Mathematics Support 8 GM4.1 Consolidation Worksheet Answers 4 a 1 cm : 4 m b 2 cm : 5 m c 5 cm : 4 m 1 cm : 400 cm 2 cm : 500 cm 5 cm : 400 cm 1 : : : : : 80 d 3 cm : 6 m e 6 cm : 5 m f 2 cm : 10 m 3 cm : 600 cm 6 cm : 500 cm 2 cm : 1000 cm 3 : : : : : : 500 g 8 cm : 1 m h 8 cm : 1 km i 4 cm : 5 km 8 cm : 100 cm 8 cm : 1000 m 4 cm : 5000 m 8 : cm : cm 4 cm : cm 2 : 25 8 : : : : : a 5 cm : 12 m = 5 cm : 1200 cm = 5 : 1200 = 1 : 240 b The scale is 1 : 240, so 3 cm represents = 720 cm = 7.2 m. They are both correct. Original material Cambridge University Press
14 Cambridge Essentials Mathematics Support 8 GM4.2 Consolidation Worksheet Answers GM4.2 Consolidation Worksheet Answers 1 a i 37 mm ii 3.7 cm b i 27 mm ii 2.7 cm c i 42 mm ii 4.2 cm 2 Check accuracy of pupils drawings of lines of these lengths. a 3 cm b 2.4 cm c 6.7 cm d 14 mm e 53 mm 3 a, b, c d The two arcs do meet. This is the only point that is 4 cm from A and 3 cm from B. 4 a The point must be 1 cm or less from O. b The point must be 1 cm or more from O but less than 2 cm from O. c The point must be 4 cm or more from AD but less than 6 cm from AD. or The point must be more than 4 cm from BC but 6 cm or less from BC. 5 Check the accuracy of pupils constructions; this diagram is not drawn to scale.
15 Cambridge Essentials Mathematics Support 8 GM4.2 Consolidation Worksheet Answers 6 Check the accuracy of pupils constructions; this diagrams is not drawn to scale. a b It is an isosceles triangle. AC = CB = 5 cm, so the triangle has two sides of equal length. Original material Cambridge University Press
16 Cambridge Essentials Mathematics Support 8 GM4.3 Consolidation Worksheet Answers GM4.3 Consolidation Worksheet Answers 1 a 180 b 270 c 045 d 135 e 225 f a 070 b 160 c 205 d a 250 b 340 c 025 d a 060 b 095 c 010 d a, c Check accuracy of pupils drawings. This diagram is not to scale. b 235 d 7.6 cm or 76 mm e About 107
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