This book follows the successful Mathematical Activities by the same author and has been written to provide teachers with further ideas to enrich their teaching of mathematics. It contains 127 investigations, puzzles, games and practical activities together with a commentary which provides solutions and additional ideas. These activities are suitable for use with children from age nine upwards to stimulate their interest and encourage mathematical thinking.
Author(s): Brian Bolt
Year: 1985
Language: English
Pages: 204
Cover......Page 1
Title......Page 3
Copyright......Page 4
CONTENTS......Page 5
PREFACE......Page 10
1 Make a folding tetrahedron......Page 11
2 Six pyramids make a cube......Page 12
3 Three pyramids make a cube......Page 14
4 The Shinsei Mystery......Page 16
5 The car jam......Page 18
7 The vanishing act......Page 19
9 Calculator cricket......Page 20
10 Generating straight-line motion......Page 22
11 Make a mobile to defy gravity......Page 24
13 Ring the triangle......Page 26
14 K9 or One man and his dog......Page 27
16 The railcar terminus......Page 28
17 Paving the patio......Page 29
18 Make a twistable tetrahedral torus......Page 30
19 Seeing is believing!......Page 32
21 Investigations on a 5×5 pinboard......Page 34
22 Chess board tours......Page 35
23 Mind stretching......Page 36
26 The persistent frog......Page 37
28 Square a Greek cross......Page 38
31 Move a queen......Page 39
32 Rolling cubes......Page 40
33 Make yourself a harmonograph......Page 41
The paving slab harmonograph......Page 42
The broom handle harmonograph......Page 43
A Meccano harmonograph......Page 44
34 Make a matchbox computer......Page 46
35 More matchstick mindbenders......Page 49
36 Tails up!......Page 50
39 Problems of single line working......Page 51
40 Solitaire......Page 52
41 All change......Page 53
43 Pinboard triangles......Page 54
44 Rigid structures in two dimensions......Page 55
45 Rigid structures in three dimensions......Page 58
47 Only four lines!......Page 61
49 Triangulating a square......Page 62
51 Find the cards on the table......Page 63
53 The rolling cube game......Page 64
54 Two at a time......Page 65
56 Crossed lines......Page 66
57 Bridging the river......Page 67
59 Can you help the motorway designer?......Page 68
60 Who nobbled the racehorse?......Page 69
61 Court card capers......Page 70
63 The chapel hymnboard......Page 71
66 Fill the corners......Page 72
69 Envelopes of curves......Page 73
70 Four more ways to form an ellipse......Page 75
71 Parabolas......Page 78
72 The snowflake curves......Page 82
73 The staircase paradox......Page 83
74 Historical estimates for pi......Page 84
77 Dr Numerati's telephone number......Page 86
80 The sponsored marathon......Page 87
81 A calculator crossword......Page 88
82 Variable based triangles......Page 89
83 Multiplying by three......Page 91
84 The hydrocarbons......Page 95
86 The car importer......Page 97
88 Find the digits......Page 98
91 Prime factors......Page 99
93 Subtraction to addition......Page 100
94 A Russian two-step......Page 101
95 Magic squares revisited......Page 102
96 Do you know your birthday?......Page 105
98 The elusive digit......Page 106
100 Prime magic......Page 107
103 Squares and cubes......Page 108
104 Calculator golf......Page 109
105 Fox and geese......Page 110
106 All present......Page 111
108 Ann's tower......Page 112
110 The blanket box......Page 113
113 Divisibility......Page 114
115 The Giant and the Dwarfs......Page 115
117 The Ruby wedding......Page 116
120 Find the route......Page 117
122 One, two, three, four, five…......Page 118
124 Target......Page 119
125 One and zeros......Page 120
126 A cautionary tale......Page 121
127 Another calculator crossword......Page 122
7 The vanishing act......Page 123
10 Generating straight-line motion......Page 124
12 The triangular building site......Page 125
14 K9 or One man and his dog......Page 126
16 The railcar terminus......Page 127
18 Make a twistable tetrahedral torus......Page 129
20 Spot the pattern......Page 130
21 Investigations on a 5x5 pinboard......Page 131
Rook's tours......Page 132
Bishop's tours......Page 133
23 Mind stretching......Page 134
27 Tidy that bookshelf!......Page 135
31 Move a queen......Page 137
32 Rolling cubes......Page 138
33 Make yourself a harmonograph......Page 139
35 More matchstick mindbenders......Page 140
37 Dovetailed......Page 141
40 Solitaire......Page 142
41 All change......Page 144
42 Pegs progress......Page 145
43 Pinboard triangles......Page 146
44 Rigid structures in two dimensions......Page 147
45 Rigid structures in three dimensions......Page 148
48 Dividing the inheritance......Page 150
50 Who is 'it'?......Page 151
52 Reafforestation!......Page 152
54 Two at a time......Page 153
55 The prisoner's perambulations......Page 155
56 Crossed lines......Page 157
57 Bridging the river......Page 158
58 Crossing the desert......Page 159
60 Who nobbled the racehorse?......Page 161
62 Heads and tails......Page 162
64 Find the radius of the circle......Page 163
67 The end of the world!......Page 164
68 How many will you take?......Page 165
71 Parabolas......Page 166
72 The snowflake curves......Page 167
73 The staircase paradox......Page 168
75 What was the sum?......Page 169
79 Palindromic dates......Page 170
81 A calculator crossword......Page 171
83 Multiplying by three......Page 172
84 The hydrocarbons......Page 174
87 Look before you leap!......Page 177
90 Octogenarian occupations......Page 178
92 Remove a rectangle......Page 179
95 Magic squares revisited......Page 180
97 What scores are possible?......Page 181
99 Chains of cube sums......Page 183
100 Prime magic......Page 184
102 Identical twins, quads and triplets......Page 185
103 Squares and cubes......Page 186
107 Postage due......Page 187
109 Reconstructing the manor house......Page 188
112 Topsy-turvy......Page 189
113 Divisibility......Page 190
116 Rhyme around......Page 191
119 Fill the gaps......Page 192
120 Find the route......Page 193
121 501 up!......Page 194
122 One, two, three, four, five…......Page 195
124 Target......Page 196
126 A cautionary tale......Page 197
127 Another calculator crossword......Page 198
Books......Page 200
Magazines......Page 201
Games......Page 202
INDEX......Page 204
