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10U4 End of Half Term Revision Quiz

Total questions: 161

Worksheet time: 8hrs 15mins

Name
Class
Date
1.
a)

10.9 cm

b)

6 cm

c)

23.9 cm

d)

21.6 cm

2.
a)

10.1 cm

b)

7.2 cm

c)

8.5 cm

d)

9.3 cm

3.
a)

7.4 cm

b)

10.9 cm

c)

5.1 cm

d)

6.8 cm

4.
a)

25.8 cm

b)

8.7 cm

c)

9.5 cm

d)

23.7 cm

5.
a)

41.9o

b)

0.67o

c)

27.9o

d)

34.9o

6.
a)

16.1o

b)

64.2o

c)

16.2o

d)

64.3o

7.
a)

50.4o

b)

68.9o

c)

68.8o

d)

50.5o

8.
a)

57.3o

b)

77.4o

c)

57.7o

d)

37.6o

9.
a)

6.3

b)

7.3

c)

11.8

d)

7.2

10.
a)

2.9

b)

6.5

c)

11.3

d)

7.1

11.
a)

6.8

b)

8.1

c)

8.6

d)

7.5

12.
a)

6.8

b)

8.1

c)

8.6

d)

6.3

13.
a)

5.1

b)

4.2

c)

4

d)

6.3

14.
a)

6.8

b)

6.6

c)

6.5

d)

6.7

15.
a)

5.6

b)

6.5

c)

5.5

d)

6.6

16.
a)

5

b)

4.9

c)

5.1

d)

4.8

17.
a)
6.99
b)
6.33
c)
13.59
d)
7.83
18.
a)
20.35
b)
12.72
c)
14.99
d)
21.83
19.
a)
38.66
b)
36.87
c)
53.13
d)
45.71
20.
a)
57.99
b)
51.32
c)
38.68
d)
32.00
21.
a)
9.28
b)
2.87
c)
2.97
d)
8.76
22.
a)
44.55
b)
22.69
c)
41.66
d)
38.49
23.
a)
32.58
b)
57.42
c)
31.44
d)
59.02
24.
a)
6.09
b)
18.77
c)
5.52
d)
7.68
25.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
26.
a)
38.66
b)
36.87
c)
53.13
d)
45.71
27.
a)
A
b)
B
c)
C
d)
D
28.
Solve for the missing angle.
a)
50.1
b)
0.0532
c)
36.9
d)
95.0
29.

Solve for the missing distance.

a)

18.9

b)

19.5

c)

47.3

d)

27.5

30.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63.6 ft
b)
1.59 ft
c)
74.2 ft
d)
86.9 ft
31.
A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  Which of these is nearest to the height of the lighthouse? 
a)
25 feet
b)
44 feet 
c)
110 feet 
d)
135 feet 
32.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
33.
A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree.  
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees 
34.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 
a)
7.5 ft 
b)
15 ft 
c)
26 ft 
d)
30 ft 
35.

Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of the Spencer’s run (his trip down the hill)?

a)

3216.76 feet

b)

633.93 feet

c)

699.46 feet

d)

3549.30 feet

36.
A 4 ft tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun? 
a)
62 degrees
b)
49 degrees
c)
28 degrees
d)
15 degrees
37.
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? 
a)
11.1 ft. 
b)
9 ft. 
c)
7.4 ft. 
d)
13.8 ft. 
38.

Find the missing side of this right angled triangle...

a)

16.1cm

b)

11.4cm

c)

16.2cm

d)

11.5cm

39.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

40.

Find the value of the missing side...

a)

4.7cm

b)

6.4cm

c)

6.5cm

d)

4.8cm

41.

Find the value of the missing side...

a)

16.1cm

b)

13.8cm

c)

13.7cm

d)

16.2cm

42.

Find the value of the missing side...

a)

3.7cm

b)

3.6cm

c)

2.2cm

d)

2.3cm

43.

Find the value of the missing side...

a)

5.4cm

b)

5.5cm

c)

11cm

d)

11.1cm

44.

Find the value of the missing side...

a)

13.2cm

b)

13.3cm

c)

16.6cm

d)

16.5cm

45.

Find the value of the missing side...

a)

5.7cm

b)

5.6cm

c)

2.6cm

d)

2.7cm

46.

Simplify the following surd...

a)

3√2

b)

2√3

c)

9√2

d)

3√6

47.

Simplify the following surd...

a)

6√2

b)

2√6

c)

8√2

d)

4√6

48.

Simplify the following surd...

a)

4√2

b)

2√3

c)

6√2

d)

4√3

49.

Simplify the following surd...

a)

5√2

b)

5√3

c)

2√5

d)

10√5

50.

Simplify the following surd...

a)

2√2

b)

4√2

c)

2√4

d)

3√2

51.

Simplify the following surd...

a)

7√2

b)

3√5

c)

9√3

d)

3√3

52.

Simplify the following surd...

a)

5√5

b)

3√5

c)

15√3

d)

5√3

53.

Simplify the following surd...

a)

5√5

b)

3√5

c)

9√3

d)

5√3

54.

Simplify the following surd...

a)

7√7

b)

3√7

c)

9√7

d)

7√3

55.

Simplify the following surd...

a)

4√2

b)

8√2

c)

2√4

d)

2√8

56.

Simplify the following surd...

a)

10√2

b)

8√2

c)

2√8

d)

5√8

57.

Simplify the following surd...

a)

6√2

b)

2√18

c)

2√8

d)

3√8

58.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
59.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n
60.
What is the correct law for powers of powers? (am)n =
a)
amxn
b)
am+n
c)
am x an
d)
amen
61.
Simplify: 35 x 37
a)
312
b)
912
c)
335
d)
935
62.
Simplify: 28 ÷ 22
a)
26
b)
24
c)
210
d)
1
63.
Simplify: b17 x b5
a)
b22
b)
b85
c)
(b2)22
d)
b12
64.
Simplify: w24 ÷ w8
a)
w16
b)
w3
c)
w32
d)
w24/8
65.
Simplify: f0
a)
1
b)
f
c)
f1
d)
0
66.
Simplify: (3x2y3)0
a)
1
b)
0
c)
3x2y3
d)
3
67.
Simplify: 3x3 × 6x8
a)
18x11
b)
18x24
c)
9x11
d)
9x24
68.
Simplify: 42m12 ÷ 7m6
a)
6m6
b)
6m2
c)
35m6
d)
35m2
69.
Simplify: 4x2y × 9xy2
a)
36x3y3
b)
36xy3
c)
13x2y2
d)
13x3y3
70.
Simplify: 64x16y12 ÷ 4x8y3
a)
16x8y9
b)
16x2y4
c)
60x8y9
d)
60x2y4
71.
Simplify: (y7)2
a)
y14
b)
y49
c)
y5
d)
y9
72.
Simplify: (3h2)3
a)
27h6
b)
27h5
c)
9h6
d)
9h5
73.
Simplify: (3a2b)2 × (2ab)3
a)
72a7b5
b)
6a7b5
c)
36a5b4
d)
18a4b2
74.
Simplify: (4pq3)2 ÷ (2p2q)3
a)
2p-4q3
b)
8p4q3
c)
16p4q2
d)
4p-4q2
75.
Simplify: (2x2y)2 × (3xy3)0
a)
4x4y2
b)
12x4y2
c)
4x5y5
d)
12x5y5
76.
Simplify: 3x2 × (2x)3 × x6
a)
24x11
b)
24x9
c)
6x11
d)
6x9
77.
Simplify: (3x)2 × (2x3y)2 ÷ 6y3
a)
6x8y-1
b)
6x8y
c)
3x7y
d)
3x7y-1
78.

Simplify this expression....

a)

5a + 7b

b)

12ab

c)

7a + 5b

d)

5a7b

79.

Simplify this expression....

a)

11y + 13

b)

11y + 3 + 10

c)

24y

d)

11y2 + 13

80.

Simplify this expression....

a)

17m + 2

b)

17m + 4

c)

17m - 2

d)

17m + 3 - 1

81.

Simplify this expression....

a)

12b + 11c

b)

11b + 12c

c)

23bc

d)

20b + 18c

82.

Simplify this expression....

a)

6x2 + 8x

b)

8x2 + 6x

c)

14x3

d)

14x2

83.

Simplify this expression....

a)

7c + 3d

b)

7c + 7d

c)

7c - 3d

d)

7c - 7d

84.

Simplify this expression....

a)

4e + 10f

b)

4e - 10f

c)

14e + 10f

d)

14e - 10f

85.

Simplify this expression....

a)

3g + 5h

b)

4 + 5h

c)

5g + 5h

d)

3g - 5h

86.

Simplify this expression....

a)

5s + 3t + 11

b)

5s + 3t + 5 + 6

c)

2s + 6t + 11

d)

2s + 8t + 9

87.

Simplify this expression....

a)

8a - 3b

b)

8a - 7b

c)

8a + 7b

d)

8a + 3b

88.
a)

340000

b)

340

c)

3400

d)

34000

89.
a)

0.012

b)

0.12

c)

1.2

d)

12

90.
a)

5.4 × 10-4

b)

54 × 105

c)

5.4 × 105

d)

5.4 × 104

91.
a)

7 × 10-4

b)

0.7 × 10-4

c)

7 × 104

d)

7 × 10-5

92.
a)

4250000

b)

452000

c)

45200

d)

4520000

93.
a)

0.00741

b)

0.0000741

c)

741000

d)

74100

94.
a)

8.26 × 103

b)

8.26 × 104

c)

8.26 × 101

d)

8.26 × 102

95.
a)

8.9 × 10-4

b)

0.89 × 10-4

c)

8.9 × 10-3

d)

0.0089 × 10-3

96.
a)

673

b)

6730

c)

6370

d)

67.30

97.
a)

0.052

b)

5.2

c)

0.52

d)

5200

98.
a)

9 × 107

b)

9 × 108

c)

9 × 106

d)

9 × 10-5

99.
a)

4.2 × 10-5

b)

4.2 × 106

c)

4.2 × 10-7

d)

4.2 × 10-6

100.
a)

6.1

b)

61

c)

610

d)

0.61

101.
a)

2

b)

20

c)

0

d)

1

102.
a)

12.8 × 107

b)

1.28 × 105

c)

1.28 × 106

d)

1.28 × 107

103.
a)

7.39 × 10-2

b)

7.39 × 10-4

c)

7.39 × 103

d)

7.39 × 10-3

104.
a)

73000000000000000000000000000000000000000000

b)

7300

c)

73

d)

730

105.
a)

0.00009132

b)

0.00000009132

c)

0.000000009132

d)

0.00000009312

106.
a)

6 × 103

b)

6 × 100

c)

6.0 × 102

d)

6 × 101

107.
a)

0.8 × 101

b)

8 × 10-1

c)

0.8 × 100

d)

8 × 101

108.

Change 30% into a fraction in its lowest terms

a)

6/20

b)

1/2

c)

3/10

d)

30/100

109.

Change 50% into a fraction in its lowest terms

a)

5/10

b)

1/2

c)

50/100

d)

100/200

110.

Change 75% into a fraction in its lowest terms

a)

75/100

b)

6/8

c)

1/4

d)

3/4

111.

Change 35% into a fraction in its lowest terms

a)

3/10

b)

7/20

c)

35/100

d)

1/3

112.

Change 80% into a fraction in its lowest terms

a)

80/100

b)

4/5

c)

8/10

d)

16/20

113.

Change 14% into a fraction in its lowest terms

a)

7/100

b)

14/20

c)

7/50

d)

1/4

114.

Change 65% to a fraction in its lowest terms

a)

65/100

b)

13/20

c)

5/6

d)

6/10

115.

Change 72% into a fraction in its lowest terms

a)

7/10

b)

36/50

c)

18/25

d)

6/12

116.

Change 5% into a fraction in its lowest terms

a)

5/10

b)

1/20

c)

5/8

d)

5/25

117.

Change 8% into a fraction in its lowest terms

a)

8/10

b)

4/5

c)

4/20

d)

2/25

118.

Change 38% into a fraction in its lowest terms

a)

38/50

b)

9/10

c)

19/50

d)

3/5

119.

Change 85% into a fraction in its lowest terms

a)

8/10

b)

17/20

c)

5/8

d)

4/5

120.

Change 10% into a fraction in its lowest terms

a)

10/50

b)

2/5

c)

1/10

d)

4/25

121.

Change 12% into a fraction in its lowest terms

a)

3/25

b)

12/20

c)

12/50

d)

24/50

122.

Change 19% to a fraction in its lowest terms

a)

19/100

b)

1/10

c)

1/9

d)

2/19

123.

John's bank account offers 3% interest each year.


John invests £400 for 5 years. Find the balance at the end of 5 years...

a)

£463.71

b)

£463.70

c)

£460

d)

£467.30

124.

Mary's bank account offers 7% interest each year.


Mary invests £200 for 3 years. Find the balance at the end of 3 years...

a)

£245.01

b)

£245.00

c)

£242

d)

£254.01

125.

The value of Bill's car goes down by 12% each year.


Bill's car is currently worth £5000. How much will it be worth in 4 years....

a)

£2998.48

b)

£2998.47

c)

£2898.47

d)

£2898.48

126.

The value of Sue's car goes down by 17% each year.


Sue's car is currently worth £8500. How much will it be worth in 6 years....

a)

£2778.99

b)

£2787.99

c)

£2788.99

d)

£2877.99

127.

Identify the correct sum...


Starting value = 500

Percentage change = 4%

Number of changes = 3

a)

500 x 1.043

b)

500 x 1.044

c)

500 x 1.033

d)

500 x 1.034

128.

Identify the correct sum...


Starting value = 600

Percentage change = 8%

Number of changes = 5

a)

600 x 1.085

b)

600 x 1.088

c)

600 x 1.055

d)

600 x 1.058

129.

Identify the correct sum...


Starting value = 700

Percentage change = 12%

Number of changes = 3

a)

700 x 1.123

b)

700 x 1.1212

c)

700 x 1.033

d)

700 x 1.0312

130.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

7/9

b)

77/99

c)

2/3

d)

7/99

131.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

2/9

b)

22/99

c)

1/3

d)

2/99

132.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

8/9

b)

88/99

c)

2/3

d)

8/99

133.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

13/33

b)

34/99

c)

4/11

d)

12/33

134.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

18/33

b)

58/99

c)

6/11

d)

19/33

135.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

23/33

b)

71/99

c)

8/11

d)

24/33

136.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

14/33

b)

42/99

c)

5/11

d)

13/33

137.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

14/33

b)

39/99

c)

6/11

d)

13/33

138.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

143/333

b)

431/999

c)

47/111

d)

142/333

139.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

51/333

b)

153/999

c)

14/111

d)

52/333

140.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

291/333

b)

874/999

c)

97/111

d)

292/333

141.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

175/333

b)

525/999

c)

65/111

d)

175/999

142.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

4313/9999

b)

4313/999

c)

479/111

d)

1437/3333

143.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

5214/9999

b)

1738/9999

c)

579/1111

d)

1738/3333

144.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

8731/9999

b)

2911/9999

c)

970/1111

d)

2911/3333

145.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

3/9

b)

33/99

c)

1/3

d)

3/99

146.

Change the following recurring decimal into a fraction.


Simplify your answer if possible.

a)

4/9

b)

12/99

c)

4/33

d)

4/99

147.

Divide $45 in the ratio 4:5

a)

$20:$25

b)

$15:$30

c)

$18:$27

d)

$4:$5

148.

Divide 720kg in the ratio 5:3

a)

300kg:420kg

b)

400kg:320kg

c)

450kg:270kg

d)

420kg:300kg

149.

Find one equivalent ratio for 15 : 30 using division

a)

7 : 15

b)

5 : 10

c)

3 : 5

150.

What are the total number of parts in the following ratio,

3 : 5 : 20 : 1

a)

2.9

b)

20

c)

28

d)

29

151.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
152.
a)

£4:£12

b)

£12:£4

c)

£12:£2

d)

£2:£12

153.
a)

£150:£120

b)

£120:£80

c)

£135:£95

d)

£160:£90

154.
a)

£10:£50

b)

£30:£50

c)

£24:£40

d)

£42:£24

155.

The ratio of adults to children in the sports club is 5: 3. There are 120 adults in the club. How many

children are there?

a)

5

b)

15

c)

45

d)

75

156.

If $35 is divided into the ratio 2 : 3 : 2, how much is one ratio part worth?

a)

$7

b)

5

c)

$35

d)

$5

157.

Divide $70 into the ratio 2 : 7 : 1

a)

$14 : $49 : $7

b)

$49 : $7 : $14

c)

$10

d)

$20

158.
Kevin is mixing paint to make orange. The ratio of red paint to yellow paint is 3 oz to 5 oz. How much yellow paint should he mix with 9 oz of red paint?
a)
15 oz
b)
30 oz
c)
45 oz
d)
11 oz
159.

This month, Hermione is fascinated by Herbology and Transfiguration. The number of Herbology books to Transfiguration books she reads is 8 : 3. If she has read 24 Transfiguration books, how many Herbology books has she read?

(a)  

160.

(this is challenging .. think about how many parts 150mL represents .. )

A truth serum contains dragon blood and flobberworm mucus in the ratio of 4:9. If there are 150 fewer millilitres of dragon flood, find the total amount of truth serum.

(a)  

161.

(this is quite tricky!)

The ratio of the number of Ravenclaw broomsticks to the number of Gryffindor broomsticks was 8:7.


After Ravenclaw gave 8 broomsticks to Gryffindor, they each had the same number of broomsticks.


How many broomsticks did they have altogether? (write the number of broomsticks only)

(a)