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End 8

The document is an end-of-year math exam for 8th-grade students at Kibeida International Schools in Port Sudan. It includes various mathematical problems such as filling in missing numbers, drawing factor trees, solving equations, and working with geometry and probability. The exam assesses students' understanding of key mathematical concepts and their ability to apply them in different scenarios.

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noralmadina2024
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0% found this document useful (0 votes)
35 views11 pages

End 8

The document is an end-of-year math exam for 8th-grade students at Kibeida International Schools in Port Sudan. It includes various mathematical problems such as filling in missing numbers, drawing factor trees, solving equations, and working with geometry and probability. The exam assesses students' understanding of key mathematical concepts and their ability to apply them in different scenarios.

Uploaded by

noralmadina2024
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

1 Fill in the missing numbers.

2 a 35 ÷ _____ = −7

3 b 1240 = _____

4 c

5 d _______________

6 Draw a factor tree for the number 540. Write 540 as a product of its prime
factors in index form.

10

11

12

13
0 = ________________________________

14 Circle the equation of the lines that are parallel to the line y = 4x + 2.

15 y = 2x + 4 y = 4x − 7 y=
10 − 4x
16 Without using a calculator, work out the following. Show your working.

17 a
× 5.8 × 2.5
______________________________________________________________

18
_________________________________________________________________________

b 6.8 × 9.9 _________________________________________________________________

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

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_________________________________________________________________________

20

21

22

23

24 The diagram, which is not drawn accurately, shows the position of two
towns, J and K.

25

26 a
Write down the bearing of K from J.
_________________________________________

27 b
Work out the bearing of J from K.
___________________________________________

28
_________________________________________________________________________

29
_________________________________________________________________________

30
_________________________________________________________________________

31 A bag contains 5 red and 7 blue counters.

32 What fraction of the counters are red?


Circle the correct answer.

33
[1]

34 The angles in a triangle are in the ratio 2 : 3 : 7.

Work out the size of the angles in the triangle.

35 ___________________________________________
_________________________________

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

36 ___________________________________________
_________________________________

37 ___________________________________________
_________________________________

38 ___________________________________________
_________________________________

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

39 The diagram shows points A and M on a coordinate grid.

40 a
Write down the vector that translates point A to point M.

41
[1]

42 b
the midpoint of the line segment AB.

43
Work out the coordinates of point B. B(___, ___)

44
_________________________________________________________________________

45
_________________________________________________________________________

46 A rectangle has a length of 3x cm and a width of x + 2 cm.

47 a
Write an expression, using brackets, for the area of the
rectangle.

48
_________________________________________________________________________

49 b
Expand the brackets in your expression in part a.

50
_________________________________________________________________________

51 c
When x = 7, work out the area of the rectangle.

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

52
_________________________________________________________________________

53
_________________________________________________________________________

54
_________________________________________________________________________

55 Insert the correct symbol, < or >, between each pair of fractions.

56 a b
[2]

57 The probability of a coloured spinner landing on red is .

Work out the probability of the spinner not landing on red.

58 ___________________________________________
_________________________________

59 ___________________________________________
_________________________________
60 a Complete the table of values for y = 3x − 5.

x −1 0 1 2 3
y
61

62 b
the coordinate grid, draw the graph of y = 3x − 5 for .

63

64 c
the line y = 3x − 5 is continued, would the point (12, 30) lie on the line?

65 Tick the correct box. Yes


No

66
Show your working.

67

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

_________________________________________________________________________

68
_________________________________________________________________________

69

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

70 These are the heights, in centimetres, of 24 sunflowers.


11 13 12 10 13 11 12 11 12 11 10
0 2 3 9 5 2 7 9 95 9 1 8
12 10 13 11 11 12 10 13 12 11 13 11
2 0 0 2 8 5 2 7 9 6 9 2

71 a
Draw an ordered stem-and-leaf diagram to show this
data.

72

73

74

75

76

77

78 b
Use the stem-and-leaf diagram to work out:

79
the mode ____________________________________

80
the median ____________________________________

81
the range of the data. ____________________________________

82 Circle the fractions in this list that are equal to recurring decimals.

83

84 a A sequence has the rule nth term = 2.5n − 6.

85
Work out the 8th term in the sequence.

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

86
_________________________________________________________________________

87
_________________________________________________________________________

88 b
Work out the nth term rule for the sequence 5, 8, 11,
14, . . .

89
_________________________________________________________________________

90
_________________________________________________________________________

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

91 The diagram shows shapes C and D.

92

93 D is an enlargement of C.

94 a
What is the scale factor of the enlargement?

95
Scale factor ______________

96 b
What are the coordinates of the centre of enlargement?
( ____, ____ )

97 c
What are the coordinates of the invariant point on the
enlargement? ( ____, ____ )

98 Two fair dice are rolled and the numbers on the dice are added to give
the score.

99 a Complete the sample space diagram to show all the


possible scores.

+ 1 2 3 4 5 6

1 2 3 4 5

2 3 4

3 4

6
100

101 b
What is the probability of getting a score of 5?

9
Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

102
Write your answer as a fraction in its simplest form.
_____________________________

103

104 Circle the correct calculation that shows how to decrease $160 by 15%.

105 160 × 0.15 160 × −0.15 160


× 0.85 160 × 1.15

106 Solve the equation .

107 ___________________________________________
_________________________________

108 ________________________________________________________
____________________

109 ________________________________________________________
____________________

110 ________________________________________________________
____________________

111 ________________________________________________________
____________________

112 The diagram shows a sketch of a triangle.

In the space below, make an accurate drawing of this triangle.

113

114

115

116

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021
KIBEIDA INTERNATIONAL SCHOOLS-PORT SUDAN END OF YEAR EXAM – MATH 8

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119

120

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122

123
124
END OF EXAM

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Cambridge Lower Secondary Mathematics 8 – Byrd, Byrd & Pearce © Cambridge University Press 2021

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