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Worksheets

Year 10

Total questions: 100

Worksheet time: 3hrs 13mins

Name
Class
Date
1.

Simplify 2a - 3b + 4a - 5b

a)

6a + 8b

b)

6a - 8b

c)

6a8b

d)

8a - 6b

2.

What is the median of the numbers 2, 2, 3, 9 ?

a)

7

b)

4

c)

2.5

d)

2

3.

Which expression means 'four more than n'

a)

4n

b)

n + 4

c)

n > 4

d)

4 > n

4.

What is the reciprocal of 5?

a)

5

b)

0.5

c)

-5

d)

1/5

5.

What is the nth term of this arithmetic sequence : 5, 13, 21, 29...

a)

8n - 3

b)

8n + 3

c)

3n - 8

d)

3n +8

6.

What is the area of this triangle?

a)

17cm2

b)

20cm2

c)

30cm2

d)

60cm2

7.

Solve the equation 2n + 3 = 23

a)

n = 1

b)

n = 10

c)

n = 11

d)

n = 13

8.

What is 257.483 rounded to 2 decimal places?

a)

257.5

b)

257.49

c)

257.48

d)

257.50

9.

What is 257.483 rounded to 2 significant figures?

a)

257.48

b)

257

c)

250

d)

260

10.

Order the decimals from smallest to largest - which is correct?

a)

0.3, 0.17, 0.25, 0.165

b)

0.165, 0.17, 0.25, 0.3

c)

0.17, 0.25, 0.3, 0.165

d)

0.165, 0.3, 0.17, 0.25

11.

How big is angle a?

a)

70o

b)

30o

c)

50o

d)

80o

12.

What is the combined area of the two rectangles?

a)

60 cm2

b)

120 cm2

c)

30 cm2

d)

48 cm2

13.

How many cm in one metre?

a)

1

b)

10

c)

100

d)

1000

14.

How many ml in one litre?

a)

1

b)

10

c)

100

d)

1000

15.

How many metres in one kilometre

a)

1

b)

10

c)

100

d)

1000

16.

How many mm in one cm?

a)

1

b)

10

c)

100

d)

1000

17.

How many minutes in one hour?

a)

30

b)

60

c)

90

d)

120

18.

How many minutes in 1.5 hours?

a)

90

b)

110

c)

150

d)

120

19.

What is the value of x when 2x + 4 = 13

a)

4

b)

4.5

c)

5

d)

5.5

20.

Find 0.3 as a fraction in its simplest form

a)

 13\frac{1}{3}  

b)

 30100\frac{30}{100}  

c)

 23\frac{2}{3}  

d)

 310\frac{3}{10}  

21.

Ben and Holly share £45 in the ratio 1:8. How much does Holly get?

a)

5

b)

40

c)

9

d)

45

22.

What is the value of -5 -7

a)

12

b)

2

c)

-2

d)

-12

23.

Odd x odd will always give....

a)

An odd number

b)

An even number

c)

Depends on the numbers

24.

Find the value of  434^3  

a)

12

b)

16

c)

64

d)

128

25.

Which of these shapes has the most sides?

a)

Hexagon

b)

Octagon

c)

Rhombus

d)

Trapezium

26.

Which is the multiple of both 8 and 12?

a)

4

b)

32

c)

72

d)

108

27.

Which is the correct statement?

a)

-4 < -3

b)

1 > 2

c)

-6 > 5

d)

-1 > 0

28.

What is 26.47640459 to one decimal place?

a)

26.4

b)

27.5

c)

26.7

d)

26.5

29.

Which is the lowest temperature?

a)

-4.9oC

b)

0oC

c)

-7oC

d)

0.1oC

30.

What is 25?

a)

10

b)

25

c)

32

d)

64

31.

Simplify a x a x a + b+ b

a)

3a + 2b

b)

a3b2

c)

a3 + b2

d)

a3 + 2b

32.
a)
4
b)
12
33.
Select the equivalent fraction for 2/3
a)
4/6
b)
8/10
c)
3/9
d)
6/12
34.
Which is greater?
3/4  or  2/4
a)
3/4
b)
2/4
35.
Which is greater?
1/5  or 1/3
a)
1/5
b)
1/3
36.
a)
5/14
b)
3/7
c)
5/7
d)
5/14
37.
What is 3 1/2/4?
a)
6
b)
3/4
c)
1/4
d)
2/4
38.
Choose the improper fraction this image represents:
a)
2 1/2
b)
5/2
c)
6/2
d)
3/2
39.
Convert:
12/5 
a)
1  2/5
b)
2  2/5 
c)
7/5
d)
3 1/5 
40.

Simplify fully  2842\frac{28}{42}  

a)

 1421\frac{14}{21}  

b)

 46\frac{4}{6}  

c)

 23\frac{2}{3}  

d)

 77\frac{7}{7}  

41.

What is 10% of 83?

a)

830

b)

8.3

c)

8

d)

0.83

42.

What type of correlation does this scatter graph show?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

d)

This is not a scatter graph.

43.

What modal month for having a birthday according to this graph?

a)

February

b)

April

c)

June

d)

August

e)

December

44.

If x = 5 and y = 3, what is 2x - y?

a)

22

b)

13

c)

7

d)

4

45.

Expand 4(x + 3)

(a)  

46.

Factorise fully 6x + 12

a)

6

b)

18x

c)

3(2x + 4)

d)

2(3x + 6)

e)

6(x + 2)

47.

Find the output...

a)

9

b)

3

c)

18

d)

2

48.

Find the output...

a)

27

b)

8

c)

26

d)

21

49.
a)
Subtract 9
b)
Subtract 12
c)
Subtract 14
d)
Subtract 15
50.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
51.

Find the nth term of the following sequence...


2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

52.

The nth term of a sequence is: 2n + 6.

What is the 12th term in the sequence?

a)

28

b)

30

c)

20

d)

38

53.

seven divided by a number

a)

7/n

b)

n/7

c)

49/7

d)

n/n

54.

Five less than a number.

a)

5 - n

b)

n - 5

c)

5n - x

d)

5 + x

55.

A number increased by five.

a)

5x

b)

x + 5

c)

x + x + x + x + x

d)

5 + 5

56.
7 + 9b + 3b
a)
16b + 3b
b)
12b + 7
c)
27b + 7
d)
6b + 7
57.
7g + 5 + 6g  - 3
a)
13g - 3
b)
12g + 5
c)
13g + 2
d)
13g - 2
58.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
59.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
60.

3/4 =

a)

25%

b)

50%

c)

75%

d)

10%

61.

1/4

a)

25%

b)

50%

c)

10%

d)

14%

62.

50%

a)

2/5

b)

4/9

c)

2/25

d)

1/2

63.
What fraction of the rectangle is SHADED?
a)
b)
¾
c)
¼
64.
What is 1/4 of 20?
a)
24
b)
5
c)
4
d)
20
65.
How can we find one-eighth of a number?
a)
Divide the number by 8
b)
Times the number by 8
c)
Add 8
d)
Subtract 8
66.

What is 10% of 40?

a)

2

b)

4

c)

6

d)

8

67.

What is 10% of 950?

a)

9

b)

95

c)

9.5

d)

9.5

68.
Change 32% into a decimal.
a)
32
b)
3.2
c)
.32
d)
.032
69.
Find the Range of:
3 1 6 2 2 
a)
3
b)
4
c)
5
d)
6
70.
700 ÷ 10
a)
7.1
b)
70
c)
700
d)
7000
71.
268 x 1000
a)
268,000
b)
2,680
c)
26,800
d)
.268
72.

17.8 ÷ 10

a)

0.178

b)

0.0178

c)

178

d)

1.78

73.
Round 1,457 to the nearest hundred.
a)
1,500
b)
1,450
c)
1,550
d)
1,600
74.
Round to the nearest hundred:
888
a)
900
b)
800
c)
880
d)
890
75.
What is 78.5 rounded to one significant figure?
a)
79
b)
78.5
c)
70
d)
80
76.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

77.
Which figure shows a set of parallel lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
78.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
79.
Find the measure of the missing angle.
a)
47
b)
57
c)
53
d)
133
80.
What letter is at (7,7)
a)
There is no letter at those coordinates.
b)
L
c)
D
d)
X
81.
What shape is this?
a)
Cube
b)
Triangular Prism
c)
Rectangular Pyramid
d)
Cone
82.
How many edges does the shape below have?
a)
6
b)
8
c)
4
d)
12
83.
Number of Vertices?
a)
12
b)
15
c)
6
d)
8
84.
What is the ratio of triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
85.

Fully simplify the ratio...


18:24

a)

3:4

b)

9:12

c)

2:3

d)

3:2

86.

What is 22

a)

4

b)

2

87.

What is 42

a)

4

b)

8

c)

16

d)

12

88.

What is 72

a)

14

b)

49

c)

35

d)

42

89.

What is 122

a)

24

b)

144

c)

132

d)

121

90.
√9
a)
3
b)
6
c)
4
d)
1
91.
√64
a)
3
b)
8
c)
7
d)
6
92.

55 - ( 4 X 11)

a)

22

b)

33

c)

44

d)

11

93.

18 - 8 ÷ 2

a)

5

b)

8

c)

20

d)

14

94.
1892 ÷ 4
a)
473
b)
467
c)
300
d)
512
95.
What is the area of the rectangle?
a)
15 sq cm
b)
15 cm
c)
d)
16 cm
96.

Find the area of this parallelogram

a)

12cm2

b)

35cm2

c)

17.5cm2

d)

30cm2

97.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

98.
Multiply these fractions
a)
10 / 15
b)
15 / 10
c)
2 / 3
d)
50 / 3
99.
Multiply
a)
5 / 9
b)
6 / 20
c)
5 / 20
d)
23 / 20
100.
Divide these fractions
a)
1.5 / 2
b)
12 / 16
c)
6 / 32
d)
5 / 32