CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST
Name ___________________________________
Date _____________
Stage 8 End-of-year test
1 Fill in the missing numbers.
a 35 ÷ _____ = −7
b 1240 = _____
c
d
812
= 8−
3
8
36 = _______________
[4]
2 Draw a factor tree for the number 540. Write 540 as a product of its prime factors in
index form.
540 = ________________________________
[2]
3 Circle the equation of the lines that are parallel to the line y = 4x + 2.
y = 2x + 4
y = 4x − 7
y = 4x +1
1
4
y = 10 − 4x
[1]
4 Without using a calculator, work out the following. Show your working.
a 4 × 5.8 × 2.5 ______________________________________________________________
_________________________________________________________________________
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST
b 6.8 × 9.9 _________________________________________________________________
_________________________________________________________________________
[2]
5 The diagram, which is not drawn accurately, shows the position of two towns, J and K.
a Write down the bearing of K from J. _________________________________________
[1]
b Work out the bearing of J from K. ___________________________________________
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
[2]
6 A bag contains 5 red and 7 blue counters.
What fraction of the counters are red? Circle the correct answer.
5
7
7
12
5
12
2
5
[1]
7 The angles in a triangle are in the ratio 2 : 3 : 7.
Work out the size of the angles in the triangle.
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST
8 The diagram shows points A and M on a coordinate grid.
a Write down the vector that translates point A to point M.










Right / left
[1]
Up / down
b M is the midpoint of the line segment AB.
Work out the coordinates of point B.
B(___, ___)
_________________________________________________________________________
_________________________________________________________________________
[2]
9 A rectangle has a length of 3x cm and a width of x + 2 cm.
a Write an expression, using brackets, for the area of the rectangle.
_________________________________________________________________________
[1]
b Expand the brackets in your expression in part a.
_________________________________________________________________________
[1]
c When x = 7, work out the area of the rectangle.
_________________________________________________________________________
_________________________________________________________________________
_________________________________________________________________________
[2]
10 Insert the correct symbol, < or >, between each pair of fractions.
a
7
34
7
33
b
11
27
13
27
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST
11 The probability of a coloured spinner landing on red is
2
.
5
Work out the probability of the spinner not landing on red.
____________________________________________________________________________
____________________________________________________________________________
[2]
12 a Complete the table of values for y = 3x − 5.
x
−1
0
1
2
3
y
[2]
b On the coordinate grid, draw the graph of y = 3x − 5 for −1 ≤ x ≤ 3 .
[2]
c If the line y = 3x − 5 is continued, would the point (12, 30) lie on the line?
Tick the correct box.
Yes
No
Show your working.
_________________________________________________________________________
_________________________________________________________________________
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST
13 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
a Draw an ordered stem-and-leaf diagram to show this data.
[3]
b Use the stem-and-leaf diagram to work out:
i
the mode ____________________________________
[1]
ii
the median ____________________________________
[2]
iii
the range of the data. ____________________________________
[2]
14 Circle the fractions in this list that are equal to recurring decimals.
5
6
4
5
3
8
7
15
4
9
3
20
[1]
15 a A sequence has the rule nth term = 2.5n − 6.
Work out the 8th term in the sequence.
_________________________________________________________________________
_________________________________________________________________________
[1]
b Work out the nth term rule for the sequence 5, 8, 11, 14, . . .
_________________________________________________________________________
_________________________________________________________________________
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST
16 The diagram shows shapes C and D.
D is an enlargement of C.
a What is the scale factor of the enlargement?
Scale factor ______________
[1]
b What are the coordinates of the centre of enlargement? ( ____, ____ )
[1]
c What are the coordinates of the invariant point on the enlargement? ( ____, ____ )
[1]
17 Two fair dice are rolled and the numbers on the dice are added to give the score.
a Complete the sample space diagram to show all the possible scores.
+
1
2
3
4
1
2
3
4
5
2
3
4
3
4
5
6
4
5
6
[2]
b What is the probability of getting a score of 5?
Write your answer as a fraction in its simplest form. _____________________________
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
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CAMBRIDGE LOWER SECONDARY MATHEMATICS 8: END-OF-YEAR TEST
18 Circle the correct calculation that shows how to decrease $160 by 15%.
160 × 0.15
19 Solve the equation
160 × −0.15
160 × 0.85
160 × 1.15
[1]
2
x + 9 = 23.
3
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
____________________________________________________________________________
[3]
20 The diagram shows a sketch of a triangle.
In the space below, make an accurate drawing of this triangle.
[3]
[Total: 60 marks]
END OF TEST
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