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Worksheets

Y10 test revision

Total questions: 176

Worksheet time: 4hrs 23mins

Name
Class
Date
1.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
2.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
3.
Identify the hypotenuse.
a)
x
b)
z
c)
w
4.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
5.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
6.
solve for c
a)
7
b)
9
c)
4
d)
13
7.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
8.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
9.
Find x.
a)
35
b)
20
c)
8
d)
12
10.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
11.

Calculate

a)

5

b)

4.5

c)

8

d)

10

12.

Calculate

a)

8

b)

3.5

c)

6.7

d)

7

13.

Calculate

a)

4

b)

8

c)

7.6

d)

8.6

14.

Calculate

a)

8.6

b)

8.9

c)

9

d)

12

15.

Calculate

a)

13.5

b)

12

c)

14.3

d)

11

16.

Calculate

a)

8.3

b)

4

c)

3

d)

3.2

17.

Calculate

a)

10

b)

10.6

c)

10.4

d)

9.3

18.
a)

11

b)

12

c)

9.8

d)

11.5

19.
a)

36.1

b)

36

c)

38.5

d)

32.1

20.

Calculate

a)

5

b)

6

c)

5.5

d)

8

21.

Calculate

a)

6.5

b)

8

c)

3

d)

4

22.

Calculate

a)

6

b)

6.3

c)

7.8

d)

9

23.

Calculate

a)

8.7

b)

12.3

c)

8.2

d)

9

24.

Calculate

a)

9

b)

7.8

c)

6

d)

6.7

25.

Calculate

a)

9.8

b)

5.4

c)

7.8

d)

10.4

26.

Calculate

a)

2

b)

4

c)

2.6

d)

6.7

27.

Calculate

a)

4.5

b)

6

c)

9.8

d)

4.9

28.

Calculate

a)

18.7

b)

18

c)

22

d)

17.6

29.

Calculate

a)

29.2

b)

14.2

c)

30

d)

32.2

30.
Multiply.   Be sure to simplify your answer when possible.
a)
12 5/6
b)
77/6
c)
6/77
d)
12 6/5
31.

Multiply. Be sure to simplify your answer when possible.

a)

3 1/10

b)

85/20

c)

4 5/20

d)

4 1/4

32.
Multiply.  Be sure to simplify your answer when possible.
a)
18 4/14
b)
23
c)
18 2/7
d)
322/14
33.
Multiply.  Be sure to simplify your answer when possible.
a)
11 3/4
b)
10 2/36
c)
47/4
d)
423/36
34.
Multiply.  Be sure to simplify your answer when possible.
a)
1602/45
b)
178/5
c)
27 24/45
d)
35 3/5
35.
Multiply.  Be sure to simplify your answer when possible.
a)
34 1/2
b)
69/2
c)
345/10
d)
28 3/10
36.
Multiply.   Be sure to simplify your answer when possible.
a)
34 1/2
b)
69/2
c)
345/10
d)
28 3/10
37.
Multiply.  Be sure to simplify your answer when possible.
a)
85/6
b)
10 2/6
c)
21   1/5
d)
10 1/3
38.
Multiply.  Be sure to simplify your answer when possible.
a)
36 3/4
b)
147/4
c)
32 3/20
d)
3 1/2
39.
Convert to an improper fraction.
a)
8/5
b)
11/5
c)
11/2
d)
2/5
40.
Convert to a mixed number: 
a)
4 2/5
b)
3 9/5
c)
4 4/5
d)
4/5
41.
Convert to an improper fraction: 4  2/5
a)
22/5
b)
20/5
c)
8/5
d)
42/5
42.
Convert to an improper fraction: 3  1/4
a)
13/4
b)
31/4
c)
3/4
d)
12/4
43.
Convert to an improper fraction:  7 1/3
a)
22/3
b)
71/3
c)
21/3
d)
7/3
44.
Convert to an improper fraction: 5 2/3
a)
17/3
b)
52/3
c)
10/3
d)
15/2
45.
Convert to an improper fraction: 11 3/4
a)
47/4
b)
113/4
c)
33/4
d)
44/3
46.
Convert to an improper fraction:  6  2/3
a)
20/3
b)
62/3
c)
12/3
d)
18/2
47.
a)

4 11/30

b)

2 1/30

c)

2 11/30

d)

4 2/11

48.
a)

4 11/30

b)

2 1/30

c)

2 11/30

d)

4 2/11

49.
a)

8 11/12

b)

2 5/12

c)

8 1/12

d)

2 1/12

50.
a)

8 11/12

b)

2 5/12

c)

8 1/12

d)

2 1/12

51.
a)

8 23/40

b)

4 7/40

c)

8 22/40

d)

4 2/40

52.
a)

8 23/40

b)

4 7/40

c)

8 22/40

d)

4 2/40

53.
a)

6 5/12

b)

1 11/12

c)

6 5/24

d)

2 1/12

54.
a)

6 5/12

b)

1 11/12

c)

6 5/24

d)

2 1/12

55.
a)

2 11/12

b)

1 11/12

c)

9 5/12

d)

8 17/12

56.
a)

7 1/2

b)

6 1/2

c)

7 5/12

d)

6 7/12

57.
a)

6 20/21

b)

7 1/21

c)

11 13/21

d)

7 13/21

58.
a)

11 3/35

b)

10 38/35

c)

4 18/35

d)

4 2/35

59.

x + 23 = -45

a)

x = -23

b)

x = -68

c)

x = -12

d)

x = 64

60.

m - 14 = 76

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

61.

18 = k - 22

a)

k = 32

b)

k = -4

c)

k = 4

d)

k = 40

62.

n - 72 = -14

a)

n = 58

b)

n = -86

c)

n = 52

d)

n = -48

63.

216 = u - 129

a)

u = 87

b)

u = 285

c)

u = 345

d)

u = -138

64.

142 = j + 204

a)

j = 64

b)

j = -84

c)

j = -62

d)

j = 346

65.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

66.

16 = m/8

a)

m = 98

b)

m = 128

c)

m = 2

d)

m = 136

67.

c/-2 = -91

a)

c = 182

b)

c = -45

c)

c = -182

d)

c = 194

68.

12y = 5424

a)

y = 484

b)

y = 456

c)

y = 452

d)

y = 543

69.

-60 = 5a

a)

a = 12

b)

a = -12

c)

a = 300

d)

a = -300

70.

r/2 = 56

a)

r = 112

b)

r = 54

c)

r = 102

d)

r = 92

71.

-85 = 17b

a)

b = -5

b)

b = 35

c)

b = 5

d)

b = -7

72.

t - 24 = 89

a)

t = 65

b)

t = 93

c)

t = 113

d)

t = 128

73.
a)

-2

b)

14

c)

48

d)

2

74.

a)

5

b)

-5

c)

1

d)

-1

75.

a)

14

b)

-33

c)

-14

d)

33

76.

a)

48

b)

-42

c)

15

d)

-15

77.
a)

10

b)

-10

c)

21

d)

-21

78.

a)

16

b)

-16

c)

10

d)

-10

79.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
80.
Solve    -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
81.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
82.
What is the first step to solve
–5x – 8.4 = 17?
a)
divide by –5 on both sides
b)
subtract 8.4 from both sides
c)
subtract 17 from both sides
d)
add 8.4 to both sides
83.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
84.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
85.
Solve   7 - 3y = 22
a)
-5
b)
5
c)
15
d)
-15
86.
Solve
a)
5
b)
-6
c)
6
d)
21
87.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
88.
⅔x-5=7
a)
x=18
b)
x=10
c)
x=8
d)
x=11
89.

Find the value of the expression when y = 5

a)

20

b)

45

c)

9

d)

25

90.

Find the value of the expression when y = 7

a)

28

b)

47

c)

11

d)

25

91.

Find the value of the expression when y = 12

a)

48

b)

412

c)

16

d)

44

92.

Find the value of the expression when m = 5

a)

8

b)

53

c)

15

d)

2

93.

Find the value of the expression when m = 8

a)

11

b)

83

c)

24

d)

5

94.

Find the value of the expression when m = 21

a)

24

b)

213

c)

63

d)

18

95.

Find the value of the expression when a = 6

a)

3

b)

12

c)

62

d)

4

96.

Find the value of the expression when a = 12

a)

6

b)

122

c)

72

d)

10

97.

Find the value of the expression when a = 7

a)

3.5

b)

14

c)

5

d)

72

98.

Find the value of the expression when h = 7

a)

3

b)

11

c)

28

d)

74

99.

Find the value of the expression when h = 13

a)

9

b)

17

c)

52

d)

-9

100.

Find the value of the expression when h = 1

a)

-3

b)

14

c)

4

d)

3

101.

Find the value of the expression when e = 1

a)

4

b)

5

c)

6

d)

-4

102.

Find the value of the expression when e = 7

a)

-2

b)

12

c)

2

d)

-12

103.

Find the value of the expression when n = 7

a)

70

b)

107

c)

17

d)

170

104.

Find the value of the expression when n = 3

a)

30

b)

103

c)

13

d)

130

105.

Find the value of the expression when n = 12

a)

120

b)

1012

c)

22

d)

220

106.

Find the value of the expression when a = 12

a)

37

b)

35

c)

313

d)

16

107.

Find the value of the expression when a = 4

a)

13

b)

35

c)

8

d)

16

108.

Find the value of the expression when g = 5

a)

17

b)

42

c)

6

d)

23

109.

Find the value of the expression when g = 9

a)

33

b)

46

c)

10

d)

39

110.

Find the value of the expression when g = 11

a)

41

b)

12

c)

45

d)

47

111.

Find the value of the expression when c = 3 and d = 5

a)

15

b)

20

c)

8

d)

2

112.

Find the value of the expression when c = 2 and d = 8

a)

16

b)

10

c)

18

d)

28

113.

Find the value of the expression when c = 10 and d = 4

a)

40

b)

14

c)

104

d)

6

114.

Which line has the equation

y = 2x + 1

a)
b)
c)
d)
115.

Which line has the equation

y = x + 2

a)
b)
c)
d)
116.

Which line has the equation

y = x - 2

a)
b)
c)
d)
117.

Select the line with the equation:


y = 2x + 2

a)
b)
c)
d)
118.

Select the line with the equation:


y = 2x - 2

a)
b)
c)
d)
119.

Select the line with the equation:


y = -2x + 2

a)
b)
c)
d)
120.

Select the line with the equation:


y = -2x - 2

a)
b)
c)
d)
121.

Select the line with the equation:


y = 0.5x + 0.5

a)
b)
c)
d)
122.

Select the line with the equation:


y = 2x + 0.5

a)
b)
c)
d)
123.

Select the line with the equation:


y = x + 2

a)
b)
c)
d)
124.

Select the line with the equation:


y = 2x + 1

a)
b)
c)
d)
125.

Identify the inequality shown on the number line...

a)

-3 ≤ x ≤ 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 < x < 4

126.

Identify the inequality shown on the number line...

a)

-3 ≤ x ≤ 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 < x < 4

127.

Identify the inequality shown on the number line...

a)

-3 ≤ x ≤ 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 < x < 4

128.

Identify the inequality shown on the number line...

a)

-3 ≤ x ≤ 4

b)

-3 ≤ x < 4

c)

-3 < x ≤ 4

d)

-3 < x < 4

129.

Identify the inequality shown on the number line...

a)

-4 ≤ x ≤ 1

b)

-4 < x ≤ 1

c)

-4 ≤ x < 1

d)

-4 < x < 1

130.

Identify the inequality shown on the number line...

a)

-4 ≤ x ≤ 1

b)

-4 < x ≤ 1

c)

-4 ≤ x < 1

d)

-4 < x < 1

131.

Identify the inequality shown on the number line...

a)

-4 ≤ x ≤ 1

b)

-4 < x ≤ 1

c)

-4 ≤ x < 1

d)

-4 < x < 1

132.

Identify the inequality shown on the number line...

a)

-4 ≤ x ≤ 1

b)

-4 < x ≤ 1

c)

-4 ≤ x < 1

d)

-4 < x < 1

133.

Identify the inequality shown on the number line...

a)

-2 ≤ x ≤ 3

b)

-2 < x ≤ 3

c)

-2 ≤ x < 3

d)

-2 < x < 3

134.

Identify the inequality shown on the number line...

a)

-2 ≤ x ≤ 3

b)

-2 < x ≤ 3

c)

-2 ≤ x < 3

d)

-2 < x < 3

135.

Identify the inequality shown on the number line...

a)

-2 ≤ x ≤ 3

b)

-2 < x ≤ 3

c)

-2 ≤ x < 3

d)

-2 < x < 3

136.

Identify the inequality shown on the number line...

a)

-2 ≤ x ≤ 3

b)

-2 < x ≤ 3

c)

-2 ≤ x < 3

d)

-2 < x < 3

137.

Identify the inequality shown on the number line...

a)

2 ≤ x ≤ 5

b)

2 < x ≤ 5

c)

2 ≤ x < 5

d)

2 < x < 5

138.

Identify the inequality shown on the number line...

a)

2 ≤ x ≤ 5

b)

2 < x ≤ 5

c)

2 ≤ x < 5

d)

2 < x < 5

139.

Identify the inequality shown on the number line...

a)

2 ≤ x ≤ 5

b)

2 < x ≤ 5

c)

2 ≤ x < 5

d)

2 < x < 5

140.

Identify the inequality shown on the number line...

a)

2 ≤ x ≤ 5

b)

2 < x ≤ 5

c)

2 ≤ x < 5

d)

2 < x < 5

141.

Identify the inequality shown on the number line...

a)

x ≤ -2

b)

x ≥ -2

c)

x < -2

d)

x > -2

142.

Identify the inequality shown on the number line...

a)

x ≤ -2

b)

x ≥ -2

c)

x < -2

d)

x > -2

143.

Identify the inequality shown on the number line...

a)

x ≤ -2

b)

x ≥ -2

c)

x < -2

d)

x > -2

144.

Identify the inequality shown on the number line...

a)

x ≤ -2

b)

x ≥ -2

c)

x < -2

d)

x > -2

145.

Identify the inequality shown on the number line...

a)

x ≤ 0

b)

x ≥ 0

c)

x < 0

d)

x > 0

146.

Identify the inequality shown on the number line...

a)

x ≤ 0

b)

x ≥ 0

c)

x < 0

d)

x > 0

147.

Identify the inequality shown on the number line...

a)

x ≤ 0

b)

x ≥ 0

c)

x < 0

d)

x > 0

148.

Identify the inequality shown on the number line...

a)

x ≤ 0

b)

x ≥ 0

c)

x < 0

d)

x > 0

149.

What is the gradient of y=7x+6y=7x+6 ?

(a)  

150.

What is the gradient of y=5x+10y=5x+10 ?

(a)  

151.

What is the y-intercept of y=2x5y=-2x-5 ?

Write your answer in form of (x,y)

(a)  

152.

What is the y-intercept of y=25x+4y=\frac{2}{5}x+4 ?

Write your answer in form of (x,y)

(a)  

153.

The gradient of 3xy=123x-y=12

a)

3

b)

-3

c)

12

d)

-12

154.

The equation of the shown graph is ...

a)

y=x5y=x-5

b)

y=x+5y=x+5

c)

y=5x+1y=5x+1

d)

y=5x1y=5x-1

155.

The equation of the shown graph is ...

a)

y=12x+3y=\frac{1}{2}x+3

b)

y=12x+3y=-\frac{1}{2}x+3

c)

y=2x+3y=-2x+3

d)

y=2x3y=-2x-3

156.

The equation of the shown graph is ...

a)

y=3x+1y=3x+1

b)

y=3x3y=3x-3

c)

y=13x+1y=-\frac{1}{3}x+1

d)

y=13x+1y=\frac{1}{3}x+1

157.

The graph of y=2x3y=2x-3 is...

a)

b)

c)

158.

The graph of y=2x+5y=-2x+5 is...

a)
b)
c)

159.

Expand the following expression...

a)

3x + 6

b)

3x + 2

c)

3x + 5

d)

x + 6

160.

Expand the following expression...

a)

4x - 8

b)

4x - 2

c)

4x + 2

d)

4x - 6

161.

Expand the following expression...

a)

5x + 20

b)

20x + 5

c)

5x + 9

d)

5x + 4

162.

Expand the following expression...

a)

8x - 8

b)

8x - 1

c)

8x - 7

d)

8x + 8

163.

Expand the following expression...

a)

6x + 18

b)

6x + 3

c)

6x + 9

d)

6x + 12

164.

Expand the following expression...

a)

6x + 8

b)

3x + 8

c)

3x + 6

d)

6x + 6

165.

Expand the following expression...

a)

21x - 14

b)

14x - 21

c)

21x - 5

d)

14x - 5

166.

Expand the following expression...

a)

36x - 45

b)

27x - 45

c)

36x - 4

d)

27x - 36

167.

Expand the following expression...

a)

30x + 70

b)

13x +17

c)

30x +17

d)

13x + 70

168.

Expand the following expression...

a)

36x + 12

b)

15x + 12

c)

15x + 13

d)

36x + 13

169.

Expand the following expression...

a)

x2 + 2x

b)

x2 + 2

c)

2x + 2

d)

xx + 2x

170.

Expand the following expression...

a)

2x2 - x

b)

2x2 - 1

c)

2x - x

d)

2xx - x

171.

Expand the following expression...

a)

x2 + 4x

b)

x2 + 4

c)

2x + 4x

d)

xx + 4x

172.

Expand the following expression...

a)

3x2 - 5x

b)

3x2 - 5

c)

3x - 5x

d)

3x - 5

173.

Expand the following expression...

a)

x2 + xy

b)

x2 + x

c)

2x2 + xy

d)

2x + xy

174.

Expand 4a(2a + 3b)

a)

8a + 12ab

b)

8a2 + 12ab

c)

8a2 + 3b

d)

8a + 12b

175.
Expand -5(4v + 3)
a)
20v - 15
b)
-54v - 53
c)
-20v + 15
d)
-20v - 15
176.
-2a(3+b)
a)
-6a-2ab
b)
-6a+2ab