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Worksheets

Year 9 Paper 1 Revision

Total questions: 183

Worksheet time: 6hrs 48mins

Name
Class
Date
1.

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

2.

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

3.

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

4.

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

5.

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

6.

Write your answer as a mixed number...


Simplify your answer as much as possible....

a)

15

b)

14

c)

16

d)

45/3

7.

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

8.

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

9.

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

10.

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

11.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

1 7/8

b)

3 2/6

c)

3 1/3

d)

2 1/8

12.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

2 14/15

b)

4 7/12

c)

44/15

d)

2 13/15

13.

Simplify your answer as much as possible...

a)

25/33

b)

60/15

c)

20/33

d)

55/15

14.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

17/28

b)

1 34/56

c)

30/56

d)

15/28

15.

Simplify your answer as much as possible...

a)

27/40

b)

90/12

c)

28/40

d)

12/14

16.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

3 1/7

b)

3 2/14

c)

44/14

d)

3 2/7

17.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

1 19/20

b)

1 18/20

c)

39/20

d)

1 9/10

18.

Simplify your answer as much as possible...

a)

22/27

b)

44/54

c)

11/12

d)

99/24

19.

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}  

20.

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}  

21.

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}  

22.

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}  

23.

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}  

24.

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}  

25.

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}  

26.

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}  

27.

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}  

28.

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}  

29.

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}  

30.

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}  

31.

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}  

32.

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}  

33.

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}  

34.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
35.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
36.

Collect like terms:

x2+y2+x+2y-3y2

a)

2x2

b)

x2+y2+x-y

c)

x2-2y2+x+2y

d)

3x+y

37.
Simplify: 4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
38.

Simplify: 7y2 5y + 9y  5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

39.
–4d8 – 3 + 5d4– 8d8 + 7
a)
4 + 5d4 - 12d8
b)
4 + 5d- 4d8
c)
4 - 5d4 - 12d8
40.

What are the coefficients in an expression?

a)

The numbers multiplied by the variables

b)

The operations in the expression

c)

The constants in the expression

d)

The exponents in the expression

41.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

42.
Which expression contains exactly 3 terms?
a)
5 + 6xy
b)
9 + 4t
c)
8 + 2y - 5x
d)
24xy
43.

Which of these are like terms in the following expression:

3x + 9x + 2x2

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x2

44.
How many terms does this expression have?
-18y + 7yz - 4z
a)
-18
b)
3
c)
7
d)
-4
45.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

46.
A constant term has ______.
a)
no exponents
b)
no variables
c)
no numbers
d)
no letters
47.
Simplify the following expression by combining like terms:
(3b - 4) - (4b + 6)
a)
-b + 2
b)
-b - 10
c)
7b - 10
d)
7b + 2
48.

-9 + 4(4x + 9)

a)

32x + 16

b)

27 + 16x

c)

16x

d)

16x + 18

49.
2f + f
a)
3f
b)
2f
c)
f
50.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
51.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
52.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
53.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
54.
Collect like terms: 
4y + 8d - 2y + 3d
a)
11d + 6y
b)
11d + 2y
c)
6y + 5d
55.
5a + 2a + 2a 
a)
9a
b)
8a
c)
7a
56.
Simplify the expression: 
3t + 7y + t + 3y
a)
3t + 10y
b)
4t + 10y
c)
4t + 4y
57.
6x + 2x + 1 + 4
a)
8x + 5 
b)
2x - 3
c)
4x - 2
d)
8x + 12 
58.

Collect like terms:

4y + 8d - 2y - 3d

a)

11d + 6y

b)

11d + 2y

c)

6y + 5d

d)

2y + 5d

59.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
60.

Combine like terms:

x+y+xy+x

a)

3xy

b)

2x+xy+y

c)

2xy+x

d)

3x+2y

61.

Simplify:

x2+2x+3x

a)

6x

b)

6x2

c)

x2+5x

d)

7x

62.

Collect like terms:

x2+y2+x+2y-3y2

a)

2x2

b)

x2+y2+x-y

c)

x2-2y2+x+2y

d)

3x+y

63.
Simplify: 4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
64.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
65.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
66.
9+2a=-3-4a
a)
a = -2
b)
a = 2
c)
a = 5
d)
a = -1
67.
2a+4=7+a
a)
a = 1
b)
a = -3
c)
a = -1
d)
a = 3
68.
is 7 a solution to the equation
3x+8-x=5x-4
a)
yes
b)
no
c)
maybe
69.
2+14a=-8+9a
a)
a = 2
b)
a = -2
c)
a = 65
d)
a = 1
70.
-8-5a=12-9a
a)
a = 5
b)
a = 1
c)
a = -2
d)
a = -1
71.
22+2a=37+6+a
a)
a = 21
b)
a = 5
c)
a = -5
d)
a = -16
72.
(23)a+1=16-a
a)
a = 0
b)
a = 9
c)
a = 22.5
d)
a = -3
73.
3a-24=-a
a)
a = 6
b)
a = 12
c)
a = -8
d)
a = -12
74.
8-3a+12=2a
a)
a = 4
b)
a = 1
c)
a = 3
d)
a = 5
75.
6a+3-4a=9
a)
a = 3
b)
a = 6
c)
a = 9
d)
a = -3
76.

Solve the following equation

9 + 2a = -3 - 4a

a)

-2

b)

2

c)

5

d)

-1

77.

Solve the equation:

3a - 24 = -a

a)

-8

b)

6

c)

12

d)

-12

78.

What is the first step you could take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

combine the like terms 4n + -6n

c)

multiply 6n to both sides

79.

What is the first step you could take?

1 + 4n = 10 - 14n

a)

Collect the variables (letters) to the left

b)

subtract 14n to both sides

c)

add 1 from both sides

d)

add 10 on both sides

80.

What is the next step you could take?


-11x = -11

a)

add 11 to both sides

b)

divide both sides by 11

c)

subtract 11 from both sides

d)

divide both sides by -11

81.

What is the next step you could take?


14x + 8 = -3 - 7x

a)

add 14x to both sides

b)

add 7x to both sides

c)

multiply -7 to both sides

d)

subtract 7x to both sides

82.

Is -3 a solution to the equation:

10x + 9 = 4x - 9

a)

Yes

b)

No

c)

Maybe

83.

Which equation represents for the picture?

a)

x + 8 = 12

b)

2x = 4 + x

c)

2x + 8 = 12 + x

d)

2x + 2 = 3 + x

84.
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 72 feet. Solve the equation and give the width. 
a)
w=18
b)
w = 24
c)
w = 27
d)
w = 9 
85.
The length of a rectangle is 4 inches more than its width.  The perimeter is 96 inches,  Find the dimensions of the rectangle.  
a)
40, 56
b)
22, 26
c)
80, 16
d)
24, 4 
86.

The perimeter is 88. Find the length of the short side.

a)

6

b)

12

c)

18

d)

21

e)

7

87.

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width?

a)

2x + 5 = 150

b)

4x + 10 = 150

c)

4x + 5 = 150

d)

2x + 10 = 150

88.

The perimeter of a rectangle is 45 inches. The length is 12 inches. What is the width?

a)

13

b)

10.5

c)

10

d)

9.5

89.

The perimeter is 82 ft. What is the length of the longer side?

a)

13

b)

22

c)

28

d)

31

e)

34

90.

A wire is first bent into the shape of a square. Each side of the square is 10 in long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 11in, what is its width?

a)

7

b)

8

c)

9

d)

10

e)

11

91.

How many 2m x 3m Scaleo posters could Austin fit on this wall?

a)

4

b)

6

c)

8

d)

12

92.

Find the perimeter of a rectangle with coordinates (–4, –3), (–2, –3), (–4, –2), (–2, –2)

a)

2

b)

4

c)

6

d)

10

93.

A bat flies for 400 seconds, and has a distance of 100 meter. Use the formula Distance = (rate)(time) to find the speed of the bat?

a)

0.25 m/s

b)

4 m/s

c)

400 m/s

d)

40,000 m/s

94.
Expand 3(4d - 3)
a)
12d - 9
b)
7d - 6
c)
34d - 33
d)
12d2 - 9
95.
Expand m(7m - 2)
a)
7m - 2m
b)
7m2 - 2m
c)
7m - 2
d)
7m2 - 2
96.
Expand 2(x + 4)
a)
2x + 8
b)
2x + 6
c)
x + 8
d)
x + 6
97.
Expand 10(x + 2)
a)
10x + 20
b)
10x + 12
c)
x + 20
d)
x + 12
98.
Expand 5(2x + 3)
a)
10x + 15
b)
7x + 15
c)
10x + 8
d)
7x + 8
99.
Expand 10(3x + 6)
a)
30x + 60
b)
13x + 60
c)
30x + 16
d)
13x + 16
100.
Expand 4(2x + 10)
a)
8x + 40
b)
6x + 40
c)
8x + 14
d)
6x + 14
101.
Expand 2(3x - 4)
a)
6x - 8
b)
6x + 8
c)
5x - 8
d)
5x - 6
102.
Expand 6(2x - 3)
a)
12x - 18
b)
12x + 18
c)
8x - 18
d)
8x - 9
103.
Expand 4(3x - 2)
a)
12x - 8
b)
12x + 8
c)
7x - 8
d)
7x - 6
104.

Expand 5(2 - 8f)

a)

10 - 40f

b)

7 - 13f

c)

10 - 8f

d)

2 - 40f

105.

Expand 2(2 - 6h)

a)

4 - 12h

b)

4 - 6h

c)

4 + 6h

d)

4 + 12h

106.

Expand x(x+2)

a)

x² + 2x

b)

2x + 2

c)

x + 2x

d)

4x

107.

Expand 4a(2a + 3b)

a)

8a + 12ab

b)

8a2 + 12ab

c)

8a2 + 3b

d)

8a + 12b

108.

Expand g(2g + 3)

a)

2g + 3g

b)

2g2 + 3

c)

2g2 + 3g

d)

5g2

109.

Expand g(5g - 2h)

a)

5g - 2gh

b)

5g2 - 2h

c)

5g2 - 2gh

d)

3h

110.

7(g + 3)

a)

7g + 3

b)

7g + 21

c)

10g

d)

g + 21

111.

4(2t - 5)

a)

8t - 20

b)

8t - 5

c)

6t - 20

d)

8t + 20

112.

Expand 4(b + 3)

a)

4b2 + 7

b)

4b + 7

c)

4b + 12

d)

7b

113.

Expand the Expression: 3(x - y + 5)

a)

3x - 3y + 8

b)

3xy + 15

c)

3x + 3y + 8

d)

3x - 3y + 15

114.
What is the gradient of the line
y = 2x - 3?
a)
2
b)
-3
c)
3
d)
2x
115.
Which of these lines will intercept the y-axis at 5?
a)
y = 5x
b)
y = x - 5
c)
5y = 5x + 5
d)
y = x + 5
116.
What is the y-intercept of the line
y = 4x - 6?
a)
4
b)
4x
c)
6
d)
-6
117.
Which of these lines has a negative gradient?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
118.
What is the gradient of this line?
a)
2
b)
½
c)
d)
-3
119.
What is the y-intercept of this line?
a)
2
b)
3
c)
-3y
d)
-3
120.
What is the equation of this line?
(in the form y = mx + c)
a)
y = -3x + 2
b)
y = 2x - 3
c)
y = 2x + 3
d)
y = -2x - 3
121.
Which of these lines is
y = 5?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
122.
Which of these lines has a gradient of ½?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
123.
Which of these
co-ordinates lie on the line
y = 3x - 8?
a)
(5, 8)
b)
(0, 8)
c)
(2, -2)
d)
(1, 5)
124.
The point A on the line
y = 3x - 7
has an x co-ordinate of 4.
What is the y co-ordinate of A?
a)
-4
b)
5
c)
0
d)
4
125.
What is the gradient of this line?
a)
Undefined
b)
0
c)
1
d)
-1
126.
Find the gradient of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
127.
What is the equation of this line?
a)
y = -1x+3
b)
y = 4x+3
c)
y =1/4x+3
d)
y = -4x+3
128.
What is the gradient of the line
y = 2x - 3?
a)
2
b)
-3
c)
3
d)
2x
129.
Which of these lines is
y = 5?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
130.
y = mx + c, m refers to the
a)
gradient
b)
X intercept
c)
co ordinate
131.
Another name for gradient is
a)
Y axis
b)
slope
c)
X axis
132.
Which of these lines has a negative gradient?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
133.
a)

y = - x - 1

b)

y = - 1

c)

x = -1

d)

y = - x

134.
If m = 3, x = 2, and c = 1, calculate y:
y = mx + c
a)
7
b)
6
c)
5
d)
8
135.
If m = 3, c = 5 and y = 11, calculate x:
y = mx + c
a)
x = 2
b)
x = 38
c)
x = 8.67
d)
x = -2.67
136.
Make a the subject of
a + b = c
a)
a = c - b
b)
a = b - c
c)
a = b + c
d)
a = bc
137.
Make a the subject of
a + b = c + d
a)
a = c + d - b
b)
a = b + c + d
c)
a = b + c - d
d)
a = c - b - d
138.
Make w the subject of 
A = lw
a)
w = A/l
b)
w = l/A
c)
w = A - l
d)
w = Al
139.
Make x the subject of y = mx + 1
a)
x = (y - 1)/m
b)
x = y - 1/m
c)
x = y/m - 1
d)
x = my - 1
140.
Make x the subject of y = mx + c
a)
x = (y - c)/m
b)
x = y - c/m
c)
x = y/m - c
d)
x = my + c
141.
Make x the subject:
N = (180 + x)/2
a)
x = 2N -180
b)
x = N - 180
c)
x = N/2 -180
d)
x = N -180/2
142.
Make r the subject:
C = 2πr
a)
r = C/2π
b)
r = C - 2π
c)
r = 2πC
d)
r = Cπ/2
143.
Make r the subject:
A = πr2
a)
r = √(A/π)
b)
r = √Aπ
c)
r = Aπ2
d)
r = (Aπ)2
144.
a)

-17

b)

13

c)

17

d)

-13

145.
a)

27

b)

-38

c)

38

d)

-26

146.
a)

-1600

b)

1600

c)

1604

d)

1596

147.
a)

-10

b)

1

c)

-5

d)

10

148.

a)

-35

b)

35

c)

-20

d)

13

149.
a)

-8

b)

8

c)

2

d)

-2

150.
a)

13

b)

-13

c)

-17

d)

17

151.
a)

-36

b)

6

c)

-6

d)

36

152.
a)

57

b)

-51

c)

51

d)

-57

153.
a)

7

b)

-7

c)

12

d)

-2

154.
a)

-42

b)

0

c)

42

d)

24

155.
a)

17

b)

23

c)

-17

d)

-23

156.
a)

-128

b)

128

c)

-126

d)

126

157.
a)

18

b)

-18

c)

42

d)

-42

158.
a)

-176

b)

176

c)

225

d)

167

159.
a)

-48

b)

48

c)

-47

d)

47

160.
a)

-46

b)

46

c)

45

d)

-45

161.
a)

2

b)

-2

c)

4

d)

-4

162.
a)

2

b)

4

c)

-2

d)

-4

163.
a)

8

b)

4

c)

-8

d)

-4

164.

Expand and simplify the following quadratic expression...


(x + 3)(x + 2)

a)

x2 + 5x + 6

b)

x2 + 5x + 5

c)

x2 + 6x + 6

d)

x2 + 6x + 5

165.
solve for x
a)
5
b)
-25
c)
15
d)
1/5
166.
solve for m
a)
-15
b)
15
c)
30
d)
-30
167.
a)
30
b)
43
c)
46
d)
54
168.
a)
7
b)
-16
c)
4
d)
-15
169.

Solve: x - 24.1 = -18.4

a)

-5.7

b)

42.5

c)

-42.5

d)

5.7

170.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

171.
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
172.
t - 0.7 = 9
a)
t = 9
b)
t = 9.7
c)
t = 8.3
d)
t = 0.7
173.
Solve the following equation for y:  -x-5=-3x+59
a)
-4
b)
16
c)
-16
d)
32
174.


Solve for x
.4x+2.9=1.5.4x+2.9=1.5  

a)

11

b)

-35

c)

-3.5

d)

1.1

175.

Solve for d

14.3=1.43d-14.3=1.4-3d  

a)

5.2

b)

4.3

c)

-5.2

d)

-4.3

176.
a)
x=  9   1/3
b)
x = 21/4
c)
x = 5    1/4
d)
None of the above
177.

8y = 48

a)

40

b)

8

c)

6

d)

56

178.

n − 14.7 = 4.7

a)

3.12

b)

69.09

c)

19.4

d)

10

179.

solve

a)

a=30.2

b)

a=-30.2

c)

a=13.2

d)

a=11.8

180.
Solve the following for the unknown:  0.2(x-8)=-4.2
a)
13
b)
-.24
c)
7
d)
-13
181.
a)
c = 18/10
b)
c = 9/20
c)
c = 1   4/5
d)
none of the above
182.

18= d218=\ \frac{d}{2}  

a)

9

b)

36

c)

16

d)

20

183.

3.3x= 9.9

a)

3

b)

0.3

c)

13.2

d)

6.6