wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

8bMa5

Total questions: 165

Worksheet time: 4hrs 30mins

Name
Class
Date
1.
Find the solution for
5.8 + 4.50
a)
1.3
b)
9.85
c)
10.3
d)
9.3
2.
7.05 - 4.6 =
a)
2.45
b)
3.65
c)
11.65
d)
11.45
3.
2 - 0.43 =
a)
0.45
b)
1.57
c)
0.41
d)
2.43
4.

76 X 1.6 =

a)

948.5

b)

121.6

c)

645.5

d)

741.2

5.

1.4 ÷ 0.2 =

a)

14

b)

140

c)

7

d)

0.7

6.
Brandon worked  15 hours last week. This week he worked 2.5 times as many hours. How many hours did Brandon work?
a)
30.5
b)
32.5
c)
35
d)
37.5
7.
25.2 ÷ 4
a)
6.4
b)
5.13
c)
5.4
d)
6.3
8.
0.36 ÷ 0.6 
a)
.216
b)
.6
c)
.36
d)
.42
9.
If you multiply 0.73 by 2.52, how many times would you move the decimal?
a)
2
b)
3
c)
4
d)
5
10.
If there is a decimal in the divisor, what must be done first?
a)
The divisor must be made a whole
b)
The decimal gets moved into the dividend
c)
Divide like normal
d)
Erase the decimal
11.
When you move the decimal in the divisor, what happens in the dividend?
a)
You raise the decimal straight up
b)
Nothing
c)
You put a zero in the front
d)
The decimal moves the same amount in the dividend that it moved in the divisor.
12.
What is the first step when adding and subtracting decimals?
a)
Line up the numbers
b)
Line up the decimals
c)
Add or subtract like normal
d)
Add in placeholders
13.
When rounding this decimal to the tenth's place-- you have to look at the digit in what place? 4.56
a)
tenths
b)
hundredths
c)
thousandths
d)
ones
14.

16=?\sqrt{16}=?  

a)

8

b)

2

c)

4

d)

32

15.

92=189^2=18  True or false?

a)

True

b)

False

16.

144-\sqrt{144}  

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number) 

17.

144\sqrt{-144}  

a)

12

b)

-12

c)

72

d)

none of the above (imaginary number)

18.

383_{\sqrt{8}}    (cube root of 8) 

a)

2

b)

±2\pm2  

c)

-2

d)

None of the above 

19.

313_{\sqrt{-1}}  (cube root of -1)

a)

±1\pm1  

b)

1

c)

-1

d)

none of the above (imaginary number)

20.

The area of a square painting is 81 cm2cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

21.

62-6^2  = ? 

a)

36

b)

-36

c)

12

d)

-12

22.

(6)2\left(-6\right)^2  = ?

a)

12

b)

-12

c)

-36

d)

36

23.

(1681)  = ?\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?  

a)

827\frac{8}{27}  

b)

89\frac{8}{9}  

c)

49\frac{4}{9}  

d)

43\frac{4}{3}  

24.

Solve for p when p2=100p^2=100  

a)

±10\pm10  

b)

10

c)

±1,000\pm1,000  

d)

1,000

25.

Solve for x when x3=18x^3=\frac{1}{8}  

a)

2

b)

164\frac{1}{64}  

c)

13\frac{1}{3}  

d)

12\frac{1}{2}  

26.

Write an equation for the phrase "Two cubed is equal to the square root of x".

a)

4=164=\sqrt{16}

b)

22=x2^2=\sqrt{x}

c)

23 =x2^{3\ }=\sqrt{x}

d)

x=2\sqrt{x}=2

27.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

28.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

29.

Which of the following is irrational?

a)

49\sqrt{49}

b)

50\sqrt{50}

c)

81\sqrt{81}

d)

121\sqrt{121}

30.

What is the first significant figure in this number

0.04067

a)

0

b)

4

c)

6

d)

7

31.

What is the 2nd significant figure in this number

18903

a)

0

b)

1

c)

8

d)

9

32.

What is the 2nd significant figure in this number

0.090583

a)

5

b)

0

c)

9

d)

8

33.

Round this number to 1 significant figure

7643

a)

7000

b)

8

c)

8000

d)

7

34.

Round this number to 1 significant figure

13.176

a)

10

b)

13

c)

13.2

d)

1

35.

What is 0.658 rounded to 1 significant figure?

a)

0

b)

0.66

c)

0.7

d)

0.658

36.
Round 1235 to 2 significant figures.
a)
12
b)
1200
c)

1300

d)
1200.00
37.

What is 0.7555 rounded to two significant figures?

a)

0.8

b)

76

c)

0.76

d)

0.7

38.

Round this number to 2 significant figures

8.0926

a)

8.09

b)

81

c)

8.0

d)

8.1

39.
Round 52689 to 3 significant figures.
a)
526
b)
527
c)
52600
d)
52700
40.

Jack buys 3 bottles of coke at £1.09 each. Estimate how much this costs him.

a)

£3

b)

£3.30

c)

£3.27

41.

98 tickets for an event are sold. Each ticket costs £8.99.

Estimate how much money they have made

(a)  

42.

Estimate the answer to:


906 + 397

a)

1300

b)

1200

c)

1310

d)

1303

43.

Estimate the answer to:


578 + 720

a)

1300

b)

1200

c)

1290

d)

1298

44.

Estimate the answer to:


1965 - 370

a)

1600

b)

1500

c)

1595

d)

2400

45.

Estimate the answer to:


8.31 + 9.74

a)

18

b)

17

c)

18.05

d)

80

46.

Estimate the answer to:


50.6 - 5.25

a)

46

b)

45

c)

55

d)

56

47.

Estimate the answer to:


2.1 x 6.8

a)

12

b)

14

c)

13.6

d)

13.4

48.

Estimate the answer to:


5.84 x 32.02

a)

192

b)

180

c)

150

d)

160

49.

Estimate the answer to:


195 x 92

a)

290

b)

18000

c)

1800

d)

20000

50.

Estimate the answer to:


1.79 x 8311

a)

16622

b)

16600

c)

16000

d)

18000

51.

Estimate the answer to:


61.2 ÷ 10.13

a)

6.1

b)

600

c)

6

d)

50

52.

Estimate the answer to:


403.8 ÷ 21.51

a)

8000

b)

200

c)

20

d)

2

53.

Estimate the answer

a)

35

b)

351.5

c)

350

d)

400

54.

Estimate the answer

a)

8

b)

900

c)

9

d)

800

55.

Estimate the answer to:


8.92

a)

64

b)

100

c)

81

d)

121

56.

Estimate the answer to:


11.252

a)

24

b)

100

c)

144

d)

121

57.

Estimate the volume of the cuboid

a)

280m3

b)

285m3

c)

294m3

d)

285m2

58.

Find the HCF of 12 and 16...

a)

2

b)

4

c)

6

d)

8

59.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

60.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

61.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

62.

Find the LCM of 5 and 8...

a)

40

b)

80

c)

20

d)

60

63.

Find the LCM of 6 and 8...

a)

12

b)

16

c)

24

d)

36

64.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

65.

Find the LCM of 10 and 12...

a)

80

b)

40

c)

60

d)

120

66.

Find the HCF of 20 and 24

a)

6

b)

4

c)

5

d)

12

67.

Find the HCF of 30 and 25

a)

5

b)

6

c)

10

d)

15

68.

Use the diagram to find the HCF of 35 and 45

a)

5

b)

9

c)

7

d)

63

69.

Use the diagram to find the LCM of 35 and 45

a)

105

b)

315

c)

350

d)

63

70.

Use the diagram to find the HCF of 18 and 24

a)

5

b)

6

c)

3

d)

12

71.

Use the diagram to find the LCM of 18 and 24

a)

54

b)

36

c)

12

d)

72

72.

Use the diagram to find the HCF of 56 and 72

a)

6

b)

8

c)

63

d)

72

73.

Use the diagram to find the LCM of 56 and 72

a)

504

b)

252

c)

63

d)

168

74.

Use the diagram to find the HCF of 28 and 42

a)

6

b)

7

c)

9

d)

14

75.

Use the diagram to find the LCM of 28 and 42

a)

126

b)

28

c)

42

d)

84

76.

Use the diagram to find the HCF of 30 and 75

a)

8

b)

15

c)

10

d)

150

77.

Use the diagram to find the LCM of 30 and 75

a)

120

b)

180

c)

75

d)

150

78.

Use the diagram to find the HCF of 84 and 96

a)

12

b)

7

c)

6

d)

14

79.

Use the diagram to find the LCM of 84 and 96

a)

42

b)

224

c)

336

d)

672

80.

Convert 39103\frac{9}{10}  to an improper fraction

a)

3910\frac{39}{10}  

b)

2210\frac{22}{10}  

c)

3010\frac{30}{10}  

d)

2910\frac{29}{10}  

81.

Convert 23502\frac{3}{50}  to an improper fraction

a)

5350\frac{53}{50}  

b)

10050\frac{100}{50}  

c)

15350\frac{153}{50}  

d)

10350\frac{103}{50}  

82.

Convert 3583\frac{5}{8}  to an improper fraction

a)

138\frac{13}{8}  

b)

218\frac{21}{8}  

c)

298\frac{29}{8}  

d)

248\frac{24}{8}  

83.

Convert 8388\frac{3}{8}  to an improper fraction

a)

118\frac{11}{8}  

b)

648\frac{64}{8}  

c)

678\frac{67}{8}  

d)

328\frac{32}{8}  

84.

Convert 17161\frac{7}{16}  to an improper fraction

a)

2316\frac{23}{16}  

b)

1716\frac{17}{16}  

c)

2116\frac{21}{16}  

d)

1916\frac{19}{16}  

85.

Convert 2352\frac{3}{5}  to an improper fraction

a)

75\frac{7}{5}  

b)

135\frac{13}{5}  

c)

105\frac{10}{5}  

d)

175\frac{17}{5}  

86.

Convert 4344\frac{3}{4}  to an improper fraction

a)

194\frac{19}{4}  

b)

164\frac{16}{4}  

c)

114\frac{11}{4}  

d)

154\frac{15}{4}  

87.

Convert 2562\frac{5}{6}  to an improper fraction

a)

196\frac{19}{6}  

b)

326\frac{32}{6}  

c)

166\frac{16}{6}  

d)

176\frac{17}{6}  

88.

Convert 94\frac{9}{4}  into a mixed number

a)

3343\frac{3}{4}  

b)

2342\frac{3}{4}  

c)

3143\frac{1}{4}  

d)

2142\frac{1}{4}  

89.

Convert 112\frac{11}{2}  into a mixed number

a)

5125\frac{1}{2}  

b)

4324\frac{3}{2}  

c)

4124\frac{1}{2}  

d)

2152\frac{1}{5}  

90.

Convert 133\frac{13}{3}  into a mixed number

a)

3433\frac{4}{3}  

b)

3143\frac{1}{4}  

c)

4134\frac{1}{3}  

d)

4234\frac{2}{3}  

91.

Convert 165\frac{16}{5}  into a mixed number

a)

3153\frac{1}{5}  

b)

2152\frac{1}{5}  

c)

4354\frac{3}{5}  

d)

3353\frac{3}{5}  

92.

Convert 2912\frac{29}{12}  into a mixed number

a)

27122\frac{7}{12}  

b)

23122\frac{3}{12}  

c)

25122\frac{5}{12}  

d)

29122\frac{9}{12}  

93.

Convert 6011\frac{60}{11}  into a mixed number

a)

64116\frac{4}{11}  

b)

55115\frac{5}{11}  

c)

58115\frac{8}{11}  

d)

57115\frac{7}{11}  

94.

Convert 253\frac{25}{3}  into a mixed number

a)

8238\frac{2}{3}  

b)

9239\frac{2}{3}  

c)

7437\frac{4}{3}  

d)

8138\frac{1}{3}  

95.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

1 3/4

b)

1 15/20

c)

1 4/5

d)

35/20

96.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

3 1/3

b)

2 2/3

c)

3 2/3

d)

10/3

97.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

2 4/9

b)

2 5/9

c)

2 8/18

d)

2 10/18

98.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

2 11/12

b)

2 10/12

c)

2 9/12

d)

2 8/12

99.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

7 7/8

b)

6 7/8

c)

6 5/8

d)

8 5/8

100.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

15

b)

14

c)

16

d)

45/3

101.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

2 21/50

b)

2 19/50

c)

2 23/50

d)

2 32/50

102.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

6 7/8

b)

6 5/8

c)

6 6/8

d)

7 1/8

103.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

11 2/3

b)

11 4/6

c)

10 2/3

d)

11 1/3

104.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

2 7/10

b)

2 14/20

c)

2 28/40

d)

27/10

105.

2890+3690\frac{28}{90}+\frac{36}{90}  

a)

3245\frac{32}{45}  

b)

3345\frac{33}{45}  

c)

3445\frac{34}{45}  

d)

3545\frac{35}{45}  

106.

28+57\frac{2}{8}+\frac{5}{7}  

a)

2528\frac{25}{28}  

b)

2628\frac{26}{28}  

c)

2728\frac{27}{28}  

d)

2828\frac{28}{28}  

107.

3 12+133\ \frac{1}{2}+\frac{1}{3}  

a)

3 563\ \frac{5}{6}  

b)

4 564\ \frac{5}{6}  

c)

3 233\ \frac{2}{3}  

d)

4 234\ \frac{2}{3}  

108.

29401840\frac{29}{40}-\frac{18}{40}  

a)

1440\frac{14}{40}  

b)

1340\frac{13}{40}  

c)

1240\frac{12}{40}  

d)

1140\frac{11}{40}  

109.

4513\frac{4}{5}-\frac{1}{3}  

a)

615\frac{6}{15}  

b)

715\frac{7}{15}  

c)

815\frac{8}{15}  

d)

915\frac{9}{15}  

110.

58155-\frac{8}{15}  

a)

4 8154\ \frac{8}{15}  

b)

4 7154\ \frac{7}{15}  

c)

5 7155\ \frac{7}{15}  

d)

3 8153\ \frac{8}{15}  

111.

23 ×164 ×14\frac{2}{3}\ \times\frac{16}{4}\ \times\frac{1}{4}  

a)

13\frac{1}{3}  

b)

14\frac{1}{4}  

c)

23\frac{2}{3}  

d)

24\frac{2}{4}  

112.

25×47×13\frac{2}{5}\times\frac{4}{7}\times\frac{1}{3}  

a)

8102\frac{8}{102}  

b)

8103\frac{8}{103}  

c)

8104\frac{8}{104}  

d)

8105\frac{8}{105}  

113.

79÷43\frac{7}{9}\div\frac{4}{3}  

a)

712\frac{7}{12}  

b)

512\frac{5}{12}  

c)

727\frac{7}{27}  

d)

1127\frac{11}{27}  

114.

59÷1527\frac{5}{9}\div\frac{15}{27}  

a)

11  

b)

22  

c)

33  

d)

44  

115.
a)

340000

b)

340

c)

3400

d)

34000

116.
a)

0.012

b)

0.12

c)

1.2

d)

12

117.
a)

5.4 × 10-4

b)

54 × 105

c)

5.4 × 105

d)

5.4 × 104

118.
a)

7 × 10-4

b)

0.7 × 10-4

c)

7 × 104

d)

7 × 10-5

119.
a)

4250000

b)

452000

c)

45200

d)

4520000

120.
a)

0.00741

b)

0.0000741

c)

741000

d)

74100

121.
a)

8.26 × 103

b)

8.26 × 104

c)

8.26 × 101

d)

8.26 × 102

122.
a)

8.9 × 10-4

b)

0.89 × 10-4

c)

8.9 × 10-3

d)

0.0089 × 10-3

123.
a)

673

b)

6730

c)

6370

d)

67.30

124.
a)

0.052

b)

5.2

c)

0.52

d)

5200

125.
a)

9 × 107

b)

9 × 108

c)

9 × 106

d)

9 × 10-5

126.
a)

4.2 × 10-5

b)

4.2 × 106

c)

4.2 × 10-7

d)

4.2 × 10-6

127.
a)

6.1

b)

61

c)

610

d)

0.61

128.
a)

2

b)

20

c)

0

d)

1

129.
a)

12.8 × 107

b)

1.28 × 105

c)

1.28 × 106

d)

1.28 × 107

130.
a)

7.39 × 10-2

b)

7.39 × 10-4

c)

7.39 × 103

d)

7.39 × 10-3

131.
a)

73000000000000000000000000000000000000000000

b)

7300

c)

73

d)

730

132.
a)

0.00009132

b)

0.00000009132

c)

0.000000009132

d)

0.00000009312

133.
a)

6 × 103

b)

6 × 100

c)

6.0 × 102

d)

6 × 101

134.
a)

0.8 × 101

b)

8 × 10-1

c)

0.8 × 100

d)

8 × 101

135.
a)

-17

b)

13

c)

17

d)

-13

136.
a)

27

b)

-38

c)

38

d)

-26

137.
a)

-1600

b)

1600

c)

1604

d)

1596

138.
a)

-10

b)

1

c)

-5

d)

10

139.

a)

-35

b)

35

c)

-20

d)

13

140.
a)

-8

b)

8

c)

2

d)

-2

141.
a)

13

b)

-13

c)

-17

d)

17

142.
a)

-36

b)

6

c)

-6

d)

36

143.
a)

57

b)

-51

c)

51

d)

-57

144.
a)

7

b)

-7

c)

12

d)

-2

145.
a)

-42

b)

0

c)

42

d)

24

146.
a)

17

b)

23

c)

-17

d)

-23

147.
a)

-128

b)

128

c)

-126

d)

126

148.
a)

18

b)

-18

c)

42

d)

-42

149.
a)

-176

b)

176

c)

225

d)

167

150.
a)

-48

b)

48

c)

-47

d)

47

151.
a)

-46

b)

46

c)

45

d)

-45

152.
a)

2

b)

-2

c)

4

d)

-4

153.
a)

2

b)

4

c)

-2

d)

-4

154.
a)

8

b)

4

c)

-8

d)

-4

155.

Expand the following brackets:

3 (d+4)

a)

3d + 4

b)

3d + 12

c)

d + 12

d)

3 + 4

156.
10(f + 5)
a)
10f + 50
b)
f + 50 
c)
10f + 5 
d)
b + c 
157.
5(6 + cd)
a)
30 + 5cd
b)
5 + c 
c)
11 + 5c 
158.
30(g + f)
a)
30g + 30f
b)
30g 
c)
30f
159.
Which of the following is the correct expansion of:
5(r - 2)?
a)
5r - 2
b)
5r +2
c)
5r + 10
d)
5r - 10
160.
Which of the following is the correct expansion of:
a(a - 10)?
a)
a2 - 10a
b)
2a - 10
c)
2a2 - 10
d)
a - 10a2
161.
Which of the following is the correct expansion of:
3p(4p - 7q)?
a)
7p - 10pq
b)
12pq - 21q2
c)
9q
d)
12p2 - 21pq
162.
2(3 + a) 
a)
6 + 2a
b)
5 + a 
c)
5 + 2a 
d)
6 + a
163.
3(b + c)
a)
3b + 3c
b)
3b + c 
c)
3 + 3c 
d)
b + c 
164.
4(d + e)
a)
4d + 4e
b)
4d + e 
c)
4 + 4e 
d)
d + e 
165.
3(4 + c)
a)
12 + 3c
b)
7 + c 
c)
3 + 3c 
d)
4 + c