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Worksheets

Y8 Paper 1 Revision

Total questions: 169

Worksheet time: 5hrs 35mins

Name
Class
Date
1.
Find 10% of £40
a)
£5
b)
£4
c)
£3
d)
£2
2.
Find 50% of £60
a)
£30
b)
£40
c)
£20
d)
£6
3.
Find 25% of 80 kg
a)
40 kg
b)
10 kg
c)
8 kg
d)
20 kg
4.
Find 1% of 200 ml
a)
2 ml
b)
20 ml
c)
200 ml
d)
0.2 ml
5.
Find 25% of 160 km
a)
40 km
b)
80 km
c)
16 km
d)
20 km
6.

Find 1% of 80

a)

80

b)

8

c)

0.8

d)

0.08

7.

Find 25% of 140 g

a)

34 g

b)

70 g

c)

35 g

d)

14 g

8.

Find 10% of 3.4

a)

0.34

b)

3.4

c)

34

d)

0.034

9.

Find 1% of 50 m

a)

50 m

b)

25m

c)

5 m

d)

0.5 m

10.

Find 25% of 74

a)

18.5

b)

37

c)

1.85

d)

19

11.

Find 11% of 600

a)

66

b)

0.66

c)

6.6

d)

660

12.

Find 15% of 300

a)

30

b)

15

c)

45

d)

40

13.

Find 30% of 30

a)

9

b)

3

c)

0.3

d)

0.9

14.

Find 60% of 200

a)

20

b)

12

c)

1200

d)

120

15.

Find 75% of 1200

a)

300

b)

600

c)

900

d)

1000

16.

Convert the fraction 3/4 to a decimal.

a)

0.75

b)

1.25

c)

0.5

d)

0.25

17.

Convert the decimal 0.6 to a fraction.

a)

1/2

b)

4/5

c)

2/3

d)

3/5

18.

Convert the fraction 5/8 to a percentage.

a)

50%

b)

75%

c)

80%

d)

62.5%

19.

Convert the percentage 25% to a fraction.

a)

1/4

b)

1/5

c)

1/3

d)

1/2

20.

Convert the percentage 80% to a decimal.

a)

0.08

b)

8

c)

0.008

d)

0.8

21.

Convert the fraction 2/5 to a decimal.

a)

0.6

b)

0.4

c)

0.5

d)

0.2

22.

Convert the decimal 0.25 to a fraction.

a)

1/4

b)

3/4

c)

1/8

d)

1/2

23.

Benjamin, Evie, and Sophie are splitting a pizza. Benjamin ate 7/10 of the pizza. What percentage of the pizza did Benjamin eat?

a)

7%

b)

0.7%

c)

0.07%

d)

70%

24.

Convert the percentage 50% to a fraction.

a)

1/4

b)

1/2

c)

3/4

d)

2/3

25.

Convert the percentage 15% to a decimal.

a)

0.15

b)

0.015

c)

0.0015

d)

0.15%

26.
Find 10% of £40
a)
£5
b)
£4
c)
£3
d)
£2
27.
Find 50% of £60
a)
£30
b)
£40
c)
£20
d)
£6
28.

Arthur, Aarav, and James are planning a charity event. They have a budget of £600 and they decided to allocate 11% of the budget for refreshments. How much money in £ is allocated for refreshments?

a)

£66

b)

£0.66

c)

£6.6

d)

£660

29.

Find 27% of £320

a)

£86.40

b)

£84.60

c)

£86.60

d)

£84.40

30.

Find 6% of £244

a)

£14.64

b)

£16.64

c)

£14.46

d)

£16.46

31.

Increase £280 by 7%

a)

£299.60

b)

£296.60

c)

£299.90

d)

£296.90

32.

Increase £62 by 41%

a)

£87.42

b)

£87.24

c)

£84.72

d)

£84.27

33.

Decrease £24 by 3%

a)

£23.28

b)

£22.28

c)

£22.38

d)

£23.83

34.

Decrease £460 by 82%

a)

£82.80

b)

£88.20

c)

£82.20

d)

£88.80

35.
6/7 ÷ 3 =
Reduce to simplest form.
a)
18/7
b)
2/7
c)
2 4/7
d)
6/21
36.
⅓ × 7 =
Reduce to simplest form.
a)
3/7
b)
7/3
c)
2 ⅓
d)
2
37.
6/9 ÷ 6/7 =
Reduce to simplest form.
a)
7/9
b)
36/42
c)
12/21
d)
1 2/9
38.
Reduce to lowest terms:
4/20
a)
1/5
b)
1/3
c)
4/20
d)
2/10
39.
5/12 × 8 =
Reduce to simplest form.
a)
5/96
b)
3 4/12
c)
3 ⅓
d)
3 ½
40.
Reduce to lowest terms:
18/12
a)
1 ½
b)
1 6/12
c)
1 3/6
d)
3/2
41.
9/10 ÷ 3/4 =
Reduce to simplest form.
a)
6/5
b)
36/40
c)
9/10
d)
1 ⅕
42.
Reduce to lowest terms:
12/4
a)
4
b)
3 0/4
c)
3
d)
43.
What is the reciprocal of ⅔?
a)
3/2
b)
c)
d)
3
44.
½ × ⅙ =
Reduce to simplest form.
a)
1/8
b)
1/12
1/12
c)
2/8
d)
2/12
45.
3/4 ÷ 9/16 =
a)
¾
b)
4/3
c)
27/64
d)
1 ⅓
46.
Reduce to lowest terms:
10/15
a)
2/5
b)
10/15
c)
2/3
d)
1 ½
47.
1/8 × 4⁄6 =
Reduce to simplest form.
a)
4/48
b)
4/12
c)
1/12
d)
1/3
48.
Reduce to lowest terms:
3/20
a)
1/20
b)
3/7
c)
1/7
d)
3/20
49.
6 × ½ =
Reduce to simplest form.
a)
6/2
b)
3/1
c)
3
d)
1/12
50.
Reduce to lowest terms:
5/4
a)
1 ¼
b)
1 ½
c)
3/1
d)
1⅗
51.
⅔ × ½ =
Reduce to simplest form.
a)
2/6
b)
4/3
c)
1 ⅓
d)
52.
2 × ¼ =
Reduce to simplest form.
a)
2/4
b)
4/2
c)
2
d)
½
53.
3/10 × 5/12 =
Reduce to simplest form.
a)
18/25
b)
c)
15/120
d)
54.
What is the reciprocal of 7/5?
a)
1 ⅖
b)
7/5
c)
5/7
d)
55.

2 + 3 × 7

a)

23

b)

35

c)

32

d)

29

56.

12 - 5 × 2

a)

2

b)

14

c)

10

d)

7

57.

8 + 10 ÷ 2

a)

13

b)

9

c)

5

d)

18

58.

20 - 5 × 3

a)

5

b)

45

c)

15

d)

30

59.

8 + 8 ÷ 4

a)

10

b)

4

c)

16

d)

12

60.

32 - 10 × 2

a)

12

b)

44

c)

22

d)

30

61.

4 + 5 × 5

a)

29

b)

45

c)

25

d)

36

62.

3 + 12 ÷ 3

a)

7

b)

5

c)

6

d)

4

63.

(3 + 4) × 4

a)

28

b)

19

c)

16

d)

21

64.

5 × (10 - 2)

a)

40

b)

48

c)

36

d)

32

65.

12 ÷ (4 + 2)

a)

2

b)

3

c)

5

d)

8

66.

(15 - 3) × 3

a)

36

b)

6

c)

12

d)

24

67.

(3 + 4) × (12 - 2)

a)

70

b)

49

c)

80

d)

54

68.

(20 - 12) ÷ (3 + 1)

a)

2

b)

16

c)

17

d)

4

69.

2 + 32

a)

25

b)

10

c)

11

d)

8

70.

3 × 52

a)

225

b)

25

c)

75

d)

30

71.

(3 + 4)2

a)

49

b)

25

c)

19

d)

42

72.

10 + 42 × 2

a)

42

b)

52

c)

26

d)

36

73.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
a + b   
a)
7
b)
8
c)
9
d)
6
74.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a
a)
5
b)
6
c)
8
d)
10
75.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab
a)
10
b)
12
c)
15
d)
36
76.
Work out the value of the expression when x = 3, y = – 2 and z = – 4.
y + x – z     
a)
-5
b)
-3
c)
3
d)
5
77.
If a = 4 and b = 6, what is the value of 3a + 5b?
a)
40
b)
42
c)
44
d)
46
78.
If x = 5, find the value of 7x-1.
a)
34
b)
36
c)
35
d)
37
79.
If y = 4, find the value of 3y+5.
a)
27
b)
12
c)
17
d)
18
80.
If a = 6 and b = 7,find the value of 15-a-b.
a)
2
b)
3
c)
4
d)
5
81.
If p = 3 and q = 5, find p + q + 2
a)
12
b)
10
c)
8
d)
11
82.
If a = 2, b = 3, c = 4 and d = 5, find a + b + c + d
a)
14
b)
12
c)
15
d)
13
83.

Substitute x = 3 into the expression:

x + 5

(a)  

84.

Substitute x = 5 into the expression:

4x + 5

(a)  

85.

Substitute x = -1 into the expression:

4x + 6



(a)  

86.

Substitute x = -2 into the expression:

2x - 5



(a)  

87.

If a=3a=3 , find  7a7-a  

a)

2

b)

3

c)

4

d)

5

88.

If b=10b=10 , find  40b\frac{40}{b}  .

a)

10

b)

2

c)

30

d)

4

89.

If c=5c=5 , find  2c2c  

a)

7

b)

8

c)

9

d)

10

90.

If d=11d=11 , find  d+3d+3  

a)

11

b)

12

c)

13

d)

14

91.

If e=8e=8 , find  e+ee+e  

a)

16

b)

88

c)

14

d)

0

92.

If f=4f=-4 , find  3f3f  

a)

1212  

b)

12-12  

c)

3434  

d)

34-34  

93.

If x = 3,

calculate x + 3

a)

3x

b)

6

c)

6x

d)

3

94.

if x = 4,

calculate 2x + 5

a)

9

b)

13

c)

13x

d)

8x + 5

95.

if y = 5,

Calculate 2(y - 3)

a)

4

b)

18

c)

10y - 6

d)

10y - 3

96.

let t = 20,

calculate t(3 + 2t)

a)

860t

b)

60 + 40t

c)

1000

d)

860

97.

let x = 4 and y = 7,

Calculate x + 2y

a)

15

b)

4 + 14y

c)

18

d)

x + 14

98.

let x = 6 and y = 3,

calculate 3x - 4y

a)

18x - 12y

b)

6(x - y)

c)

12

d)

6

99.

let a = 10 and b = -4,

calculate 2a + 4b

a)

36

b)

4

c)

-4

d)

28

100.

let c = -5 and d = -2,

calculate 3( 2c - d)

a)

-24

b)

-36

c)

36

d)

24

101.

let a = 4, b = 6 and c = -2,

calculate 4a + 2b - 3c

a)

24

b)

14

c)

26

d)

12

102.

let x = -4, y = 4, z = 2

calculate 3x - 2(2y - 2z)

a)

20

b)

4

c)

-20

d)

-4

103.

4x+3=29-4x+3=-29  

a)

x=4x=4  

b)

x=6x=6  

c)

x=2x=2  

d)

x=8x=8  

104.

x2+3=3\frac{x}{-2}+3=-3  

a)

x=0x=0  

b)

x=12x=12  

c)

x=3x=-3  

d)

x=6x=-6  

105.

x11+8=6\frac{x}{-11}+8=6  

a)

x=22x=-22  

b)

x=1x=1  

c)

x=11x=11  

d)

x=22x=22  

106.

5x1=16-5x-1=-16  

a)

x=3x=3  

b)

x=4x=-4  

c)

x=2x=2  

d)

x=5x=5  

107.


14x10=414x-10=4  

a)

x=8x=-8  

b)

x=10x=10  

c)

x=1x=1  

d)

x=14x=-14  

108.


x5+7=9\frac{x}{5}+7=9  

a)

x=5x=5  

b)

x=7x=7  

c)

x=9x=9  

d)

x=10x=10  

109.


4x7=19-4x-7=-19  

a)

x=3x=3  

b)

x=10x=-10  

c)

x=9x=-9  

d)

x=12x=12  

110.

6x4=8-6x-4=8  

a)

x=10x=-10  

b)

x=14x=14  

c)

x=6x=6  

d)

x=2x=-2  

111.

0.4x + 13 = 3

a)

-25

b)

25

c)

-4

d)

4

112.

-1.5x - 14 = -20

a)

-24

b)

24

c)

4

d)

-4

113.
What is the area of this figure?
a)
52 square centimeters
b)
36 centimeters
c)
57 square centimeters
d)
40 square centimeters
114.
What is the area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
115.
The perimeter of a square is 220cm. What is the length of each side?
a)
80 cm
b)
40 cm
c)
100 cm length and 10 width
d)
55 cm
116.
Find the AREA of this figure.
a)
160 square feet
b)
160 feet
c)
160
d)
1600 feet
117.
What is the PERIMETER of this rectangle?
a)
22 sq. yd.
b)
22
c)
22 cm
d)
22 yd.
118.
Find the PERIMETER of this figure.
a)
20 square feet
b)
20 cm
c)
25 square feet
d)
20 cm sq.
119.
Farmer Bob's son built a track to walk his pet pig.  The track goes around the pig pen.  The pig pen is 15 feet long and 21 feet wide.  If the pig walks all the way around the track, how many feet did he walk?
a)
72 feet
b)
36 feet
c)
36 square feet
120.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
121.
Find the perimeter
a)
25cm
b)
35cm
c)
50cm
d)
100cm
122.
perimeter?
a)
30 units
b)
32 units
c)
24 units
d)
36 units
123.
Name this shape
a)
parallelogram
b)
square
c)
diamond
d)
hexagon
124.
Find the area
a)
41
b)
45
c)
44
d)
43
125.
Find the area.
a)
60 in
b)
60 in2
c)
25 in
d)
50 in
126.
Perimeter of triangle??
a)
20 cm
b)
28 cm
c)
27 cm
d)
56 cm
127.
The space inside an object is called it's
a)
area
b)
perimeter
128.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
129.
What is the perimeter?
a)
12
b)
15
c)
18
d)
3
130.
Find the area of the figure
a)
43 sq inches
b)
102 sq inches
c)
37 inches
d)
90 sq inches
131.
What is the area of this figure?
a)
91 squared inches
b)
70 squared inches
c)
112 squared inches
d)
35 squared inches
132.
Find the area?
a)
15 in²
b)
30 in²
c)
15 in
d)
 30 in
133.
Find the Area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
134.

Find the area.

a)

18 square units

b)

16 square units

c)

24 square units

d)

20 square units

135.

Fully factorise the following expression:

4x - 12

a)

4 ( x - 12 )

b)

2x ( 2x - 6 )

c)

4 ( x - 3 )

d)

4x ( 1 - 3 )

136.

Fully factorise the following expression

12x - 14

a)

2 ( 6x - 2)

b)

2 (6x - 7)

c)

4 ( 3x - 3 )

d)

4(3x - 4)

137.

Fully factorise the following expression...

6x + 18

a)

6(x + 3)

b)

2(3x + 9)

c)

3(2x + 6)

d)

3(x + 6)

138.

Fully factorise the following expression...

12x - 8

a)

3(4x - 3)

b)

4(3x - 1)

c)

3(4x - 2)

d)

4(3x - 2)

139.

Factorise fully 

8x+32

a)

2(4x+16)

b)

8(x+4)

c)

4(2x+16)

d)

4(2x+8)

140.

Fully factorise the following expression...

3x - 15

a)

3(x - 3)

b)

3(x - 5)

c)

3(x - 15)

d)

3(x - 6)

141.

Expand

10(f + 5)

a)

10f + 50

b)

f + 50 

c)

10f + 5 

d)

10g + 50

142.

Expand

 

5(6 + cd)

a)

30 + 5cd

b)

30 + 5c

c)

11 + 5c 

d)

11 + 6c

143.

Which of the following is the correct expansion of:

5(3r - 2)?

a)

8r - 2

b)

15r - 10

c)

15r -2

d)

15 - 10r

144.

Which of the following is the correct expansion of:

12x (2y - z)

a)

24zx - 12xz

b)

24xy -12xz

c)

24xz - 12x

d)

12xy - 24xz

145.

Which of the following is the correct expansion of:

8x ( 7y - 6w)

a)

56xy - 48xw

b)

64xy - 48xw

c)

72xy - 40xw

d)

15xy - 14xw

146.

Which of the following is the correct expansion of:

a(a - 10)

a)

2a2 - 10

b)

a2 - 10a

c)

a - 10a2

d)

2a - 10

147.

 

Expand 3z(4z + 6)

a)

12z2 + 18

b)

12z2 + 18z

c)

12z2 - 18z

d)

34z2 + 18

148.

Factorise fully:

8x - 32xy

a)

8x (1 - 4y)

b)

8(xy -4)

c)

8xy ( 1 - 4)

d)

8x (1 - xy)

149.

Factorise fully:

2a2 +12a2a^2\ +12a  

a)

2(a26a)2\left(a^2-6a\right)   

b)

2a (a + 6)

c)

2a ( a2 +12aa^2\ +12a  )

d)

2a ( a + 12)

150.

Expand:

24x (2x - 3y)

a)

48x  72xy48x\ -\ 72xy  

b)

48x2 72xy48x^2\ -72xy  

c)

48x - 72xy

d)

26x2 + 48xy26x^2\ +\ 48xy  

151.
solve for x
a)
5
b)
-25
c)
15
d)
1/5
152.
solve for m
a)
-15
b)
15
c)
30
d)
-30
153.
a)
30
b)
43
c)
46
d)
54
154.
a)
7
b)
-16
c)
4
d)
-15
155.

Solve: x - 24.1 = -18.4

a)

-5.7

b)

42.5

c)

-42.5

d)

5.7

156.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

157.
What would you multiply each term by to clear the decimals in the following equation:
3.04y - 6.7 = 9.12
a)
10
b)
100
c)
1000
d)
10000
158.
t - 0.7 = 9
a)
t = 9
b)
t = 9.7
c)
t = 8.3
d)
t = 0.7
159.
Solve the following equation for y:  -x-5=-3x+59
a)
-4
b)
16
c)
-16
d)
32
160.


Solve for x
.4x+2.9=1.5.4x+2.9=1.5  

a)

11

b)

-35

c)

-3.5

d)

1.1

161.

Solve for d

14.3=1.43d-14.3=1.4-3d  

a)

5.2

b)

4.3

c)

-5.2

d)

-4.3

162.
a)
x=  9   1/3
b)
x = 21/4
c)
x = 5    1/4
d)
None of the above
163.

8y = 48

a)

40

b)

8

c)

6

d)

56

164.

n − 14.7 = 4.7

a)

3.12

b)

69.09

c)

19.4

d)

10

165.

solve

a)

a=30.2

b)

a=-30.2

c)

a=13.2

d)

a=11.8

166.
Solve the following for the unknown:  0.2(x-8)=-4.2
a)
13
b)
-.24
c)
7
d)
-13
167.
a)
c = 18/10
b)
c = 9/20
c)
c = 1   4/5
d)
none of the above
168.

18= d218=\ \frac{d}{2}  

a)

9

b)

36

c)

16

d)

20

169.

3.3x= 9.9

a)

3

b)

0.3

c)

13.2

d)

6.6