CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
Name ___________________________________ Date _____________
Stage 8 test
1 Fill in the missing numbers.
2 a
× −6 = _____
3 b
÷ _____ = −9
4 c
_____
5 d
6 e
7
8
2 a Show the inequality on the number line below.
10 b
the inequality , write down the integer values that y could be.
11
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12
3 a Use the formula to work out the value of a when b = 12 and c = 15.
13
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14 b
Rearrange the formula to make b the
subject.
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
15
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16
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17 c Use your formula to work out the value of b when a = 27 and c = 5.
18
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4 Circle the correct expression for each of these.
19 a Expand 4x(x + 2y).
8y C 4x2 + 8xy [1]
20
21 b Factorise fully 18 − 24z.
− 8z) B 6(3 − 4z) C 2(9 − 12z) [1]
22
5 The diagram shows the lengths of the equal sides of an isosceles triangle.
23 a
the information to write an equation.
24
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25 b
Solve your equation to find the value of y.
26
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27
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
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29
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6 Work out
30 a 42.5 × 0.01 ___________________ b 62 ÷ 0.1
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31 c
× 6.3 ____________________ d 6.32 ÷ 0.4 _____________________
32
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35
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37
38 e
_____________________ f _______________________
39
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40
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
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43
44
7 Work out the area of this rectangle. Give your answer as a mixed number.
45
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46
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47
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48
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8 Calculate the size of angle x. Show all your working.
49
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50
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51
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52
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53
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54
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55
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
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57
58
59
60
9 Work out the value of each lettered angle. Give reasons for your answers.
Show your working.
61
a = _____ Reason: _____________________________
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b = _____ Reason: _____________________________
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c = _____ Reason: _____________________________
64
Working: ____________________________
65
d = _____ Reason: _____________________________
66
Working: ____________________________
67
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68
69
10 Work out the circumference of a circle with radius 4.5 cm.
70 Use the π button on your calculator.
71 Round your answers correct to 3 significant figures (3 s.f.).
72 ___________________________________________
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
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73 ___________________________________________
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74 ___________________________________________
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11 Work out the areas of these shapes.
75
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76
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78
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79
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80
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81
82
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12 The diagram shows a triangular prism.
83
Work out the volume of the prism.
84
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85
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86
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
87
Work out the surface area of the prism.
88
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89
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90
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91
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92
13 The diagram shows a triangular prism with a volume of 288 cm3.
93
94
Work out the height of the prism.
95
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96
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97
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98
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99
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100
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101
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
102
103
104
The diagram shows a tetrahedron and a cuboid.
105
106
Show that the surface area of the tetrahedron is 3 m2 less than the surface area of the cuboid.
107
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108
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109
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110
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111
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112
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113
15 Fill in the missing numbers.
114 a
÷ _____ = −7
115 b
_____
116 c
117 d
_______________ [4]
118
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
16 Circle the equation of the lines that are parallel to the line y = 4x + 2.
119
y = 4x − 7 y = 10 − 4x
120
121
122
123
124
17 Without using a calculator, work out the following. Show your working.
125 a
5.8 × 2.5 ______________________________________________________________
126
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b 6.8 × 9.9 _________________________________________________________________
127
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128
18 A rectangle has a length of 3x cm and a width of x + 2 cm.
129 a
Write an expression, using brackets, for the area of the rectangle.
130
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131
132 b
Expand the brackets in your expression in part a.
133
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
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135 c
When x = 7, work out the area of the rectangle.
136
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137
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138
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139
140
141
142
143
144
145
146
147
19 a Complete the table of values for y = 3x − 5.
x −1 0 1 2 3
y
148
149 b
the coordinate grid, draw the graph of y = 3x − 5 for .
150
151 c
the line y = 3x − 5 is continued, would the point (12, 30) lie on the line?
152 Tick the correct box. Yes No
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
153
Show your working.
154
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155
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156
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
20 These are the heights, in centimetres, of 24 sunflowers.
110 132 123 109 135 112 127 119 95 129 111 108
122 100 130 112 118 125 102 137 129 116 139 112
157 a
Draw an ordered stem-and-leaf diagram to show this data.
158
159
160
161
162
163
[3]
164 b
the stem-and-leaf diagram to work out:
165
the mode ____________________________________
166
the median ____________________________________
167
the range of the data. ____________________________________
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: MID-POINT TEST
168
21 Solve the equation .
169 ___________________________________________
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170 ________________________________________________________
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171 ________________________________________________________
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172 ________________________________________________________
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173 ________________________________________________________
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174
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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
