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Worksheets

Y8 MID-TERM ASSESSMENT

Total questions: 135

Worksheet time: 7hrs 45mins

Name
Class
Date
1.

Find the area of the trapezium

a)

40cm2

b)

80cm2

c)

60cm2

d)

160cm2

2.

Find the area of the trapezium

a)

114m2

b)

120m2

c)

228m2

d)

108m2

3.

What is the are of this trapezoid?

a)

34cm2

b)

77cm2

c)

52cm2

d)

30cm2

4.
Find the area of the trapezium.
a)
16 cm2
b)
30 cm2
c)
32 cm2
d)
60 cm2
5.

Find the area of the trapezium

a)

18cm2

b)

12.6cm2

c)

7.2cm2

d)

25.2cm2

6.

Find the area of the trapezium

a)

400cm2

b)

40cm2

c)

250cm2

d)

450cm2

7.

Find the area of this trapezium

a)

21 m2

b)

27 m2

c)

240 m2

d)

18 m2

8.

Find the area of the trapezium

a)

60cm2

b)

30cm2

c)

45cm2

d)

90cm2

9.

If my radius is 10 ft, what is my diameter?

a)

5 ft

b)

20 ft

c)

31.4 ft

d)

62.8 ft

10.

What is the diameter of the pictured circle?

a)

4 cm

b)

8 cm

c)

12 cm

d)

16 cm

11.

If the diameter of a circle is 16.6 in, what is the radius?

a)

8.3 in

b)

16.6 in

c)

33.2 in

d)

52.124 in

12.

What is the radius of the pictured circle?

a)

12.5 cm

b)

25 cm

c)

50 cm

d)

78.5 cm

13.

Find the circumference (round to the nearest hundredth).

a)

14.14 cm

b)

26.28 cm

c)

28.28 cm

d)

56.56 cm

14.

Find the circumference (round to the nearest hundredth).

a)

2.04 m

b)

2.61 m

c)

4.02 m

d)

8.17 m

15.

Find the circumference, rounding your answer to 1d.p.

a)

43.9mm

b)

44.0mm

c)

21.9mm

d)

22.0mm

16.

Find the circumference of the circle.

a)

157.1cm

b)

157.0mm

c)

314.2cm

d)

314.1mm

17.

Find the circumference, rounding your answer to 1d.p.

a)

18.9 m

b)

37.7 m

c)

9.4 m

d)

18.9 cm

18.

Find the circumference of the circle.

a)

31.42 cm

b)

15.71 cm

c)

62.84 cm

d)

78.55 cm

19.

Find the circumference, rounding your answer to 1d.p.

a)

1.6 m

b)

1.5 m

c)

0.8 m

d)

3.1 m

20.

Find the circumference in centimetres, rounding your answer to 1d.p.

a)

5.0cm

b)

502.7cm

c)

251.3cm

d)

2.5cm

21.

A circle has a diameter of 37. What is its circumference?

a)

232.36

b)

58.127

c)

116.254

d)

119.69

22.

The diameter of a circle is 10 inches. What is the radius?

a)

10 inces

b)

20 inches

c)

5 inches

d)

2.5 inches

23.

What is the circumference of a circle with a diameter of 56 m?

a)

175.952 m

b)
176.8 m
c)

87.976 m

d)
186.8 m
24.
what is the circumference of this circle ?
a)

18.852 cm 

b)

37.704 cm

c)

9.426 cm

d)

68.432 cm

25.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
26.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
27.

Find the circumference of this circle leaving your answer in terms of π\pi .

a)

37.704 cm

b)

6π cm6\pi\ cm

c)

18.852 cm

d)

12π cm12\pi\ cm

28.
132
a)
26
b)
196
c)
144
d)
169
29.
112
a)
132
b)
144
c)
121
d)
22
30.
142
a)
169
b)
196
c)
28
d)
144
31.

What is 172?

a)

256

b)

289

c)

324

d)

361

32.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
33.

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the 
bowl?

a)

153.958 cm

b)

43.988 cm

c)
87.96 cm
d)

615.832 cm

34.

What is the circumference of a circle with a radius of 5 in terms of π ?

a)

5π square units

b)

10π square units

c)

25π square units

d)

50π square units

35.
A bicycle tire has a diameter of 27 inches. What is the radius?
a)
27π
b)
13.5
c)
81
d)
25π
36.

What is the area of this circle?

a)

1256.64 in2

b)

31.42 in2

c)

314.2 in2

d)

62.84 in2

37.

Find the circumference (round to nearest tenth):
diameter = 9 ft

a)
28.3 ft
b)
28.4 ft
c)
28 ft
d)
56.5 ft.
38.
Find the Circumference (round to nearest tenth):
radius = 6 cm
a)
37.7 cm
b)
37.8 cm
c)
37 cm
d)
18.8 cm
39.
Find the Circumference (round to nearest tenth):
diameter = 5 km
a)
15.6 km
b)
15 km
c)
15.7 km
d)
31.4 km
40.

Find the circumference, rounding your answer to 1d.p.

a)

18.9m

b)

37.7m

c)

9.4m

d)

18.9 cm

41.

Find the circumference, rounding your answer to 1d.p.

a)

25.1cm

b)

12.5cm

c)

12.6cm

d)

6.3cm

42.
find the area of the circle below.
a)

18.852 cm2cm^2

b)

9.426 cm2cm^2

c)

4.713 cm2cm^2

d)

28.278 cm2cm^2

43.
What is the area of this circle?
a)

163.2 cm2cm^2

b)

37.704 cm2cm^2

c)

452.448 cm2cm^2

d)

113.112 cm2cm^2

44.
Find the area of the circle
a)

56.556 in2in^2

b)

254.502 in2in^2

c)

28.278 in2in^2

d)

113.04 in2in^2

45.
What is the area of a circle with a diameter of 10 cm ?
a)
31.4 cm²
b)

78.55 cm²

c)
15.7 cm²
d)
314 cm²
46.

Find the area of the trapezium

a)

400cm2

b)

40cm2

c)

250cm2

d)

450cm2

47.

If the diameter of a circle is 16.6 in, what is the radius?

a)

8.3 in

b)

16.6 in

c)

33.2 in

d)

52.124 in

48.

What is the circumference of a circle with a diameter of 56 m?

a)

175.952 m

b)
176.8 m
c)

87.976 m

d)
186.8 m
49.

Find the circumference of this circle leaving your answer in terms of π\pi .

a)

37.704 cm

b)

6π cm6\pi\ cm

c)

18.852 cm

d)

12π cm12\pi\ cm

50.

Evaluate 132

a)
26
b)
196
c)
144
d)
169
51.

Work out 6211 +32\frac{\sqrt[]{6^2-11}\ +3}{2}

(a)  

52.

Find the value of 112

a)
132
b)
144
c)
121
d)
22
53.
142
a)
169
b)
196
c)
28
d)
144
54.

What is 172?

a)

256

b)

289

c)

324

d)

361

55.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
56.

Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the 
bowl?

a)

153.958 cm

b)

43.988 cm

c)
87.96 cm
d)

615.832 cm

57.

What is the circumference of a circle with a radius of 5 in terms of π ?

a)

5π square units

b)

10π square units

c)

25π square units

d)

50π square units

58.
A bicycle tire has a diameter of 27 inches. What is the radius?
a)
27π
b)
13.5
c)
81
d)
25π
59.

What is the area of this circle?

a)

1256.64 in2

b)

31.42 in2

c)

314.2 in2

d)

62.84 in2

60.

Find the circumference (round to nearest tenth):
diameter = 9 ft

a)
28.3 ft
b)
28.4 ft
c)
28 ft
d)
56.5 ft.
61.

Find the circumference (round to nearest tenth):
radius = 6 cm

a)
37.7 cm
b)
37.8 cm
c)
37 cm
d)
18.8 cm
62.

Find the circumference, rounding your answer to 1d.p.

a)

25.1cm

b)

12.5cm

c)

12.6cm

d)

6.3cm

63.
find the area of the circle below.
a)

18.852 cm2cm^2

b)

9.426 cm2cm^2

c)

4.713 cm2cm^2

d)

28.278 cm2cm^2

64.
What is the area of a circle with a diameter of 10 cm ?
a)
31.4 cm²
b)

78.55 cm²

c)
15.7 cm²
d)
314 cm²
65.

Find the area of the trapezium

a)

400cm2

b)

40cm2

c)

250cm2

d)

450cm2

66.

If the diameter of a circle is 16.6 in, what is the radius?

a)

8.3 in

b)

16.6 in

c)

33.2 in

d)

52.124 in

67.

Cube of 10 is

a)

100

b)

1000

c)

30

d)

3000

68.

Work out 3681  , leaving your answer in its simpliest form.\sqrt[]{\frac{36}{81}}\ \ ,\ leaving\ your\ answer\ in\ its\ simpliest\ form.

(a)  

69.

Evaluate 636^3

(a)  

70.

Work out 3433\sqrt[3]{343} .

a)

7

b)

9

c)

3

d)

13

71.

Evaluate 0.0025\sqrt[]{0.0025}

(a)  

72.
Evaluate.
a)
5
b)
7
c)
25
d)
49
73.

Evaluate 83   + 22+5\sqrt[3]{8}\ \ \ +\ \sqrt[]{2^2+5}

(a)  

74.

Work out
9  ×  100\sqrt[]{9}\ \ \times\ \ \sqrt[]{100}

a)
30
b)
-200
c)
900
d)
90
75.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
76.

What is the cube of 13?

(a)  

77.
a)
9
b)
3
c)
1/3
d)
1
78.
How do I add this fractions? 
a)
6/6
b)
6/12
c)
5/6
d)
6/36
79.
Work out:
876 x 0.01 =
a)
87,600
b)
0.876
c)
8.76
d)
87.6
80.
Write 1,000,000,000,000 as a power of ten.
a)
1011
b)
1012
c)
1013
d)
100
81.
Work out:
98,000 ÷ 0.1
a)
9800
b)
98
c)
980,000
d)
0.98
82.

6.7×0.1=6.7\times0.1=  

a)

0.67

b)

.67

c)

6.7

d)

67

83.

23.6×0.01=23.6\times0.01=  

a)

0.236

b)

2 360

c)

2.36

d)

236

84.
Which set lists all the factors of 24?
a)
1, 2, 3, 6, 7, 12, 24
b)
1, 2, 3, 4, 6, 8, 12, 24
c)
1, 2, 3, 4, 5, 6, 8, 12, 24
d)
1, 3, 4, 6, 8, 24
85.

Find the HCF of 30 and 36.

a)
2
b)
3
c)
4
d)
6
86.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

87.

Round off the number 3.9762645 to 1 decimal place.

a)
4.0
b)
3.9
c)
3.98
d)
4.01
88.
Write 2.6470588 to 2 decimal places
a)
2.65
b)
2.74
c)
2.647
d)
2.657
89.

Round 217.192 to the nearest whole number. 

a)
200
b)
217
c)
217.1
d)

218

90.

Solve: 1  (4  13) ÷3Solve:\ 1\ -\ \left(4\ -\ 13\right)\ \div3  



(a)  

91.
Simplify the following:  
-8 + (15 - 3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
92.

Find the prime factorization of 420

a)

22 x 3 x 5 x 7

b)

77

c)

22 x 3 x 11

d)

23 x 3 x 7

93.

Write in index notation. 7 x 10 x 10 x 7 x 10

a)

72×1047^2\times10^4

b)

73×1027^3\times10^2

c)

72×1037^2\times10^3

d)

7×1037\times10^3

94.

Evaluate (25)3\left(\frac{2}{5}\right)^3 .

a)

810\frac{8}{10}

b)

615\frac{6}{15}

c)

8125\frac{8}{125}

d)

6125\frac{6}{125}

95.

What are the prime factors of 30? 

a)
3, 2, 5 
b)
1, 2, 3, 5, 6, 15, 30
c)
3, 30
d)
10, 3
96.

Find the LCM of 12 and 16.

a)

48

b)

36

c)

64

d)

96

97.

Simplify (k8)3

a)

k24

b)

k4

c)

k11

d)

k5

98.

Simplify
m8n6m4n\frac{m^8n^6}{m^4n^{ }}  

a)

m4n5m^4n^5   

b)

m8n6m^8n^6  

c)

m4n6m^4n^6  

d)

m8n5m^8n^5  

99.

Simplify a2 x b3 x a4 x b6

a)

a6 x b9

b)

a7 x b3

c)

a8 x b2

d)

a9 x b5

100.

What is the value of y0y^0 ?

a)
1
b)

y

c)

y1

d)
0
101.

Simplify 4x2y × 9xy2

a)
36x3y3
b)
36xy3
c)
13x2y2
d)
13x3y3
102.

Find the value of 11011^{101} .

a)

-1

b)

1

c)

101

d)

-101

103.

32=-3^2=  

a)

66  

b)

6-6  

c)

99  

d)

9-9  

104.
The product of five and w
a)

5+w5+w

b)

5w5w

c)

w5w-5

d)

5w5-w

105.
Twenty decreased by x
a)

20+x20+x

b)

20x\frac{20}{x}

c)

x20x-20

d)

20x20-x

106.
The quotient of seven and w
a)

7w\frac{7}{w}

b)

7w7w

c)

w7\frac{w}{7}

d)

w7w7

107.

Translate: twelve less than a number

a)

12x12-x  

b)

x12x-12  

c)

12x12x  

d)

x+12x+12  

108.

Write the phrase as an expression: twice a number increased by 8

a)

2+8x2+8x

b)

2x+82x+8

c)

2(x+8)2(x+8)

d)

8(x+2)8(x+2)

109.

Simplify 6m + m - 4m

a)

10m

b)

3m

c)

2m

d)

11m

110.

Simplify 3x+7+2x5−3x+7+2x−5

a)
−x + 2
b)
−6x − 35
c)
−x - 2
d)
−5x + 2
111.

Simplify
5a+b4ab5a+b-4a-b

a)
a
b)
-b
c)
4a
d)
b
112.

Simplify a3 x a5

a)
a15
b)
a2
c)
a8
d)
a-2
113.

How many metre(s) is /are in one centimetre?

a)

0.01

b)

0.1

c)

1

d)

100

114.

What is 4.2 km in metres?

a)

420

b)

4200

c)

42

d)

0.42

115.

342 cm = ____ m

a)

0.342

b)

34,200

c)

34.2

d)

3.42

116.

Expand -4(d - e)

a)

-4d + 4e

b)

4d + e

c)

-4d - 4e

d)

4d + 4e 

117.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
118.
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
119.

Find the area of the triangle.

a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
120.

3+(4)=3+\left(-4\right)=  

a)

1

b)

-1

c)

7

d)

-7

121.

8+10 =-8+10\ =  

a)

2

b)

--2

c)

18

d)

-18

122.

7+8+2 =-7+8+2\ =  

a)

3

b)

-3

c)

17

d)

-17

123.

Solve the following:
(2 + 7 - 1) ÷ 22 ==

a)

16

b)

2

c)

72.25

d)

8.75

124.

Which set do I belong to?

(0, 1, 2, 3, 4, 5...)

a)

Natural Numbers

b)

Rational Numbers

c)

Whole Numbers

d)

Integers

e)

Irrational Numbers

125.

A number that can be written as a fraction.

a)

Rational Number

b)

Irrational Number

c)

Whole Number

d)

Integer

126.

A number that cannot be written as a fraction.

a)

Rational Number

b)

Irrational Number

c)

Whole Number

d)

Integer

127.
A repeating decimal or decimal that terminates is called a 
a)
Natural Number
b)
Irrational Number
c)
Rational Number
d)
Whole Number
128.

Choose all of the following number sets that apply to 18\sqrt{18}  

a)

Real Number

b)

Rational Number

c)

Irrational Number

d)

Whole Number

e)

Integer

129.

All irrational numbers are real numbers.

a)

True

b)

False

130.

Choose all of the number sets that apply to 

81\sqrt{81}  

a)

Rational Number

b)

Irrational Number

c)

Whole Number

d)

Integer

e)

Real Number

131.

Which of the following numbers is a factor of 16?

a)

3

b)

5

c)

8

d)

9

132.

23+17\frac{2}{3}+\frac{1}{7}  = (a)  

133.

165+75\frac{16}{5}+\frac{7}{5}  = (a)  

134.
1/2 + 2/3 =
a)
3/5
b)
7/6
c)
3/6
135.
6/9 + 1/2 = 
a)
21/18
b)
7/10
c)
6/18