320 ANSWERSGeometry
p207 There are nine diagonals:p209 The dotted lines show parallel lines:p213 Shape 1 is the regular polygon.p215p217 You would get a parallelogram.p221 The diameter is 6 cm. The
circumference is 18.84 cm.p223 The shape has 8 faces, 18 edges,
and 12 vertices.p227 Shape 4 is a non-prism.p228 The other nets of a cube are:p237 a = 90°, b = 50°, c and e = 40°p239 1) 30° 2) 60°p241 Each angle is 70°p243 1) 60° 2) 34° 3) 38° 4) 55°p247 115°p248 A = (1,3) B = (4,7)
C = (6,4) D = (8,6)p251 1) (2, 0), (1, 3), (−3, 3), (−4, 0),
(−3, −3), (1, −3).
2) You would make this shape:p253 1) Orange monorail car
2) Boat no. 2 3) C7p255 1) 2W, 2N, 3W
2) One route is: 2E, 8N, 1E
3) The beach 4) Seal Islandp257 The numbers 7 and 6 have none,
3 has one, and 8 has two.p258 No. 3 has no rotational symmetry.p261p265 There are five other positions
the triangle could be in:Statistics
p277 1) 133 2) 7 3) 19p283 One of several possible pictograms
looks like this:p293 1) 155 ̊ 2) 20%p299 1) 7 2) 2 and 12 3) 1 / 6 and^1 / 36Algebra
p305 1) 32 2) 7 3) 53 4) 21p307 1) 44, 50, 56, 62, 68 2) (6 × 40) + 2
= 242 3) (6 × 100) + 2 = 602Dorling Kindersley would like to thank:
Thomas Booth for editorial assistance;
Angeles Gavira-Guerrero, Martyn Page,
Lili Bryant, Andy Szudek, Rob Houston,
Michael Duffy, Michelle Baxter, Clare
Joyce, Alex Lloyd, and Paul Drislane
for editorial and design work on early
versions of this book; Kerstin Schlieker
for editorial advice; and Iona Frances,
Jack Whyte, and Hannah Woosnam-
Savage for help with testing.Acknowledgments
Equilateral triangleRight-angled triangle Isosceles
triangleScalene
triangle123-1
-2
-3-2-3-4 -1 0 1 2Leroy’s gaming
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