wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

year 7 super

Total questions: 162

Worksheet time: 5hrs 51mins

Name
Class
Date
1.

At a birthday party 40% of the children had an ice-cream. 150 children attended the party. How many had an ice-cream?

a)

60

b)

70

c)

80

d)

90

2.

Kurt's salary of 25000 euros is increased by 10%. What is his new salary?

a)

28000

b)

30000

c)

27500

d)

52000

3.

The cost of a car originally costing 9500 euros is reduced by 25%. Find its new cost.

a)

7125

b)

7000

c)

8000

d)

9400

4.

A jacket cost £40 and was reduced by £6.

What is the percentage reduction?

a)

20%

b)

15%

c)

10%

d)

6%

5.

There are 800 visitors to a museum, 250 are men, 324 are women and the rest are children. What percentage were children?

a)

22.6

b)

28.25

c)

31.25

d)

40.4

6.

A sheep is bought for £40 and sold for £33.

What is the % loss?

a)

7

b)

17.5

c)

20

d)

21.2

7.

If there is a 25% discount applied to $129 Nike sneakers, what is the new sales price of the Nikes?

a)

$32.25

b)

$96.75

c)

$161.25

d)

$128.75

8.

Ali bought his bike for $180. If he sells it at a profit of 20%, what is his selling price?

a)

$200

b)

$208

c)

$216

d)

$224

9.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
10.

Original: 35

New: 70

a)

100% increase

b)

50% increase

c)

200% decrease

d)

100% decrease

11.

Original: $350

New: $400

a)

14% increase

b)

25% increase

c)

50% increase

d)

.14% increase

12.

Original: $30

New: $110

a)

267% increase

b)

267% decrease

c)

80% increase

d)

67% increase

13.

Original: 80

New: 52

a)

35% decrease

b)

35% increase

c)

28% decrease

d)

28% increase

14.

Find the percent of change.


From 24 teachers to 30 teachers.

a)

25% decrease

b)

25% increase

c)

20% decrease

d)

20% increase

15.

Find the percent of change.


From 20 miles to 11 miles.

a)

45% decrease

b)

45% increase

c)

82% decrease

d)

82% increase

16.
Is it an increase or decrease?
12 inches to 36 inches
a)
Increase
b)
Decrease
17.
Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.
a)
Decrease of 40%
b)
Decrease of 10%
c)
Decrease of 30%
d)
Decrease of 20%
18.

When you increase an amount by 10%, to find the new amount in one step, what should you multiply the original amount by?

a)

0.1

b)

10%

c)

1.01

d)

1.1

19.

When you decrease an amount by 10%, to find the new amount in one step, what should you multiply the original amount by?

a)

0.9

b)

10%

c)

0.09

d)

1.1

20.

When you decrease an amount by 17%, to find the new amount in one step, what should you multiply the original amount by?

(a)  

21.

When you decrease an amount by 30%, to find the new amount in one step, what should you multiply the original amount by?

(a)  

22.

Decrease $2200 by 15%.

(a)  

23.

Increase $220 by 6%.

(a)  

24.

5% of $167.50

a)

$8

b)

$8.38

c)

$9

d)

$8.42

25.

9% of 126 kg

a)

11 kg

b)

11.26 kg

c)

11.50 kg

d)

11.34 kg

26.

What is the multiplier I need to find a 32% decrease?

(a)  

27.

What is the multiplier I need to find a 45% increase?

(a)  

28.

Given a sequence has the nth term 2n+4 find the first term

(a)  

29.

Given a sequence has the nth term 2n+4 find the second term

(a)  

30.

Given a sequence has the nth term 2n+4 find the third term

(a)  

31.

Given a sequence has the nth term 5n+7 find the first term

(a)  

32.

Given a sequence has the nth term 5n+7 find the second term

(a)  

33.

Given a sequence has the nth term 5n+7 find the 100th term

(a)  

34.

Given a sequence has the nth term 3n-8 find the 1st term

(a)  

35.

Given a sequence has the nth term 3n-8 find the 2nd term

(a)  

36.

Given a sequence has the nth term 3n-8 find the 3rd term

(a)  

37.

Given a sequence has the nth term 10-2n find the 1ST term

(a)  

38.

Given a sequence has the nth term 10-2n find the 2ND term

(a)  

39.

Given a sequence has the nth term 10-2n find the 3RD term

(a)  

40.

Given a sequence has the nth term 10-2n find the 20TH term

(a)  

41.

How many circles would appear in the next picture in this pattern?

a)

7

b)

9

c)

8

d)

10

42.

Find the nth term of the following sequence

7, 9, 11, 13, 15

(a)  

43.

Find the nth term of the following sequence

5, 11, 17, 23, 29

a)

n + 6

b)

n - 1

c)

6n - 1

d)

6n + 1

44.

Find the nth term of the following sequence

-1, 4, 9, 14, 19

(a)  

45.

Find the nth term of the following sequence

10, 7, 4, 1, ...

(a)  

46.

What is the 50 term in the sequence 1, 7, 13, 19 …?

(a)  

47.

Here is nth term for a sequences. Find the first 5 terms for the sequence.


5n + 3

(a)  

48.

Here is nth term for a sequences. Find the first 5 terms for the sequence.

50 - 5n

(a)  

49.

What is the term-to-term rule for this sequence.


26, 23, 20, 17...

(a)  

50.

the first term is 40 , term to term rule is divide 2

Find the third term in this sequence

a)

20

b)

10

c)

5

d)

2.5

51.

the first term is 6 , the term to term rule multiply 3

write the third term in this sequence

(a)  

52.

the first term in the sequence is 3.4 , the term to term rule is add 0.6

choose the correct 4th term

a)

4.6

b)

5.2

c)

4

d)

5.8

53.

Find the side elevation for the solid shown...

a)
b)
c)
d)
54.
Which figure will this net make?
a)
Cone
b)
Triangular Prism
c)
Square Pyramid 
d)
Cube
55.
Which figure will this net make?
a)
Cube
b)
Hexagonal Pyramid
c)
Octagonal Pyramid 
d)
Cone
56.
Which figure will this net make?
a)
Triangular Pyramid
b)
Hexagonal Pyramid
c)
Octagonal Pyramid 
d)
Cube
57.

Among the following, which is the plan of a cone?

a)
b)
c)
d)
58.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
59.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
60.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
61.
What is the formula for circumference of a circle given the diameter?
a)
C = pi x r
b)
C = pi x 2r
c)
C = pi x D
d)
C = pi x 2D
62.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
63.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
64.
Cynthia wants to buy a round photo frame for her brother. The radius of the photo frame is 9 cm. What is the photo frame’s diameter?
a)
28.26 cm
b)
56.52 cm
c)
4.5 cm
d)
18 cm
65.
Determine the radius of the penny
a)
59.66 mm
b)
9.5 mm
c)
38 mm
d)
119.32 mm
66.
What is the circumference of this circle?
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
67.
Find the circumference of a circle with a diameter of 11 millimeters.
a)
34.6 mm
b)
30 mm
c)
25.3 mm
d)
34.54 cm
68.
The radius of the circle is 9 meters.  What is the circle's circumference?
a)
9 meters
b)
28.26 meters
c)
56.52 meters
d)
18 meters
69.
What is the circumference of this circle?  Round to the nearest tenth.
a)
3.14 cm 
b)
37.7 cm
c)
24 cm
d)
68.4 cm
70.
If the diameter of a circle is 10 mm, the circumference is approximately ___
a)
314 mm
b)
3.14 mm
c)
31.4 mm
d)
20 mm
71.

Name that shape.

a)

trapezium

b)

quadrilateral

c)

parallelogram

d)

rhombus

72.

A _______________ is a quadrilateral with two sets of parallel sides.

a)

trapezium

b)

parallelogram

c)

kite

d)

triangle

73.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
74.

Which lines are parallel

a)

AB and BC

b)

AB and DC

c)

AD and DC

d)

AD and BC

75.

Select the shape with one pair of parallel sides

a)
b)
c)
d)
76.

Which describes a rhombus?

a)

has all right angles

b)

has all acute angles

c)

has all equal sides

d)

has all obtuse angles

77.

Select all shapes where all the angles are 90o

a)
b)
c)
d)
78.

Name the shape

a)

Parallelogram

b)

Trapezium

c)

Rectangle

d)

Rhombus

79.

A rectangle has

a)

Opposite sides are equal

b)

Opposite sides are parallel

c)

Four angles that each measure 90 degrees

d)

All four sides are equal

80.
a)
1/12
b)
1
c)
2/35
d)
23/25
81.
2/5 + 3/10
a)
7/10
b)
5/10
c)
1/2
d)
5/15
82.
a)

5 2/6

b)

5 1/8

c)

6 4/10

d)

1/8

83.
a)

5 2/6

b)

5 1/8

c)

6 4/10

d)

1/8

84.


34×16\frac{3}{4}\times\frac{1}{6}  

a)

324  or 18\frac{3}{24\ }\ or\ \frac{1}{8}  

b)

524\frac{5}{24}  

c)

30100or310\frac{30}{100}or\frac{3}{10}  

d)

418or 29\frac{4}{18}or\ \frac{2}{9}  

85.
1/4  ÷  2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
86.

4 12÷ 3 23  =4\ \frac{1}{2}\div\ 3\ \frac{2}{3\ }\ =

a)

12 12

b)

27/22 or 1 5/22

c)

13

d)

16

87.
9 1/15 + 1 2/5  Simplify.
a)
10 3/20
b)
10 7/15
c)
10 3/15
88.

2÷372\div\frac{3}{7}  

(a)  

89.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
90.
Find the value of x. 
a)
x = 133
b)
x = 47
91.

Angle 3 and Angle 7 are...

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

92.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
93.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
94.
Find y.
a)
130
b)
50
95.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
96.

What kind of fraction is 23What\ kind\ of\ fraction\ is\ \frac{2}{3}  

a)

Terminating

b)

Recurring

97.

What kind of fraction is 38What\ kind\ of\ fraction\ is\ \frac{3}{8}  

a)

Terminating

b)

Recurring

98.

What kind of fraction is 19What\ kind\ of\ fraction\ is\ \frac{1}{9}  

a)

Terminating

b)

Recurring

99.

What kind of fraction is 425What\ kind\ of\ fraction\ is\ \frac{4}{25}  

a)

Terminating

b)

Recurring

100.

Identify the repeating pattern in 0.123123123...

a)

12

b)

123

c)

1234

d)

23

101.

What is the decimal representation of 1/3?

a)

0.25

b)

0.333...

c)

0.75

d)

0.5

102.

If you wanted to convert 8/9 to a decimal, what would be the first step?

a)

Place 8 on the right side of the decimal point

b)

Divide 8 by 9

c)

Divide 9 by 8

d)

Place 9 on the right side of the decimal point

103.
write -7/8 as a decimal.
a)
-0.78
b)
-0.875
104.
What is 19/4 as a decimal?
a)
4.75
b)
4.5
c)
4.3
d)
4.4
105.
Which fraction can be expressed as a repeating decimal?
a)
1/10
b)
1/4
c)
3/5
d)
7/9
106.
Write this fraction as a decimal.
1/9
a)
9
b)
.111.....
c)
1.9
d)
1.11
107.
Simplify 40
a)
1
b)
4
c)
0
108.

Write 25 using Index notation,

with base 5

a)

525^2

b)

252^5

c)

5 x 5

d)

2x2x2x2x2

109.

Which number is the base in... 656^5  

a)

6

b)

5

110.
Write 2 x 2 x 2 x 2 in index form
a)
23
b)
25
c)
16
d)
24
111.

Which number is the index/power in... 656^5  

a)

6

b)

5

112.
Write 6x 6as a single power
a)
7776
b)
66
c)
65
d)
365
113.
Write 95 ÷ 93 as a single power
a)
92
b)
98
c)
915
114.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
115.
Write 12 x 12 x 12 x 12 x 12 x 12 x 12 in index form
a)
126
b)
127
c)
128
d)
125
116.
Simplify 47  ÷ 43
a)
410
b)
4
c)
421
d)
44
117.
3x 35
a)
36
b)
37
c)
38
d)
310
118.

Simplify...

a)

a9

b)

a20

c)

a1

d)

a-1

119.
- 7 + 1 = 
a)
6
b)
8
c)
-6
d)
-8
120.
-3 + (-11)
a)
-14
b)
14
c)
-8
d)
8
121.
12 + -14 = ?
a)
26
b)
-26
c)
2
d)
-2
122.
-12 + 9
a)
21
b)
3
c)
-3
d)
-21
123.
-2 + 4 
a)
-2
b)
2
c)
0
d)
-4
124.
1 - (-4)
a)
3
b)
-3
c)
5
d)
-5
125.
-8 - 6
a)
-2
b)
2
c)
-14
d)
14
126.
14 - 20
a)
34
b)
-6
c)
6
d)
-11
127.
5 - (-12)
a)
-7
b)
7
c)
17
d)
-17
128.
8 - 12
a)
4
b)
-4
c)
-6
d)
-8
129.
(-4)(6) 
a)
-24
b)
24
130.
(-9)(-8)
a)
-72
b)
72
131.
12 x -4
a)
-24
b)
-36
c)
-60
d)
-48
132.
-10(4)
a)
40
b)
-14
c)
-40
d)
14
133.
-3(-4)
a)
-12
b)
c)
-7
d)
12
134.
-30/-10=
a)
-30
b)
-3
c)
3
d)
30
135.
44/-4=
a)
11
b)
-8
c)
-11
d)
-1/11
136.
-20/5=
a)
-4
b)
4
c)
-100
d)
100
137.
-20/5
a)
4
b)
-4
c)
-15
d)
14
138.
-55/11
a)
-44
b)
44
c)
5
d)
-5
139.

Factorise 3x+18.

a)

3(x+6)

b)

3(x+18)

c)

3(x-6)

d)

3x(x+6)

140.

What is the Highest Common Factor (HCF) for 9c2, 6bc, 12cd?

a)

3b

b)

3c

c)

3d

d)

6c

141.

What is the Highest Common Factor (HCF) for 12m, 4mn?

a)

2m

b)

4m

c)

12m

d)

4mn

142.

Expand 3(5bc-6).

a)

15bc - 18

b)

3bc - 18

c)

15bc - 6

d)

8bc - 18

143.

Expand -5b(a+3).

a)

-5ab+5b

b)

-5ab+15b

c)

-5ab-15b

d)

-5ab+3b

144.

Expand 6(3+w).

a)

18+w

b)

6+3w

c)

18+3w

d)

18+6w

145.

What number, n, cubed is equal to 64?

n3 = 64

a)

4

b)

2

c)

8

d)

262,144

146.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

147.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

148.
∛125
a)
5
b)
4
c)
6
d)
7
149.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
150.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
151.

What is -9 cubed?

(-9)3

a)

-729

b)

729

c)

27

d)

-27

152.

Determine which is perfect square?

a)

54

b)

36

c)

21

d)

43

153.

determine which is square root of 144

a)

11

b)

10

c)

12

d)

14

154.
√64
a)
3
b)
8
c)
7
d)
6
155.
√121
a)
12
b)
10
c)
11
d)
3
156.
What is a square?
a)
Something you multiply by the 3rd power
b)
A shape
c)
A number you multiply by itself
157.

True or false? 9² = 18

a)

True

b)

False

158.
132
a)
26
b)
196
c)
144
d)
169
159.

144-\sqrt{144}  

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number) 

160.

The area of a square painting is 81 cm2cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

161.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

162.

Which of the following is irrational?

a)

49\sqrt{49}

b)

50\sqrt{50}

c)

81\sqrt{81}

d)

121\sqrt{121}