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Worksheets

Y7 - Units 4 to 7 Revision

Total questions: 136

Worksheet time: 6hrs 35mins

Name
Class
Date
1.

40% of the 25 students in a class have black hair. How many students is this?

a)

10

b)

15

c)

20

d)

5

2.

16 out of the 28 biscuits in a packet have cream centres. What percentage of the packet are cream-centred biscuits?

a)

57%

b)

58%

c)

100%

d)

30%

3.

50% of $36

(a)  

4.

CHANGE THE FOLLOWING INTO PERCENT.

5/20

a)

50%

b)

20%

c)

25%

d)

76%

5.

CHANGE THE FOLLOWING INTO PERCENT:

6.07

a)

6.07%

b)

607%

c)

670%

d)

60.7%

6.

Calculate 10% of $40

a)

40

b)

4

c)

10

7.

A T-shirt costs $50. You get 10% off in the sales. How much do you pay for the T-shirt ?

a)

$55

b)

$10

c)

$5

d)

$45

8.

Convert to a decimal

a)

0.67

b)

6.7

c)

0.067

d)

6.07

9.

Convert 19% to a fraction

a)

19/100

b)

9/20

c)

1/9

d)

9/50

10.

Convert 30% to a fraction

Simplify as much as possible

a)

30/100

b)

15/50

c)

3/10

d)

1/3

11.

Convert to a percentage

a)

12%

b)

25%

c)

20%

d)

50%

12.
Which describes the shaded portion of the figure?
a)
1/2 = 50%
b)
1/6 = 0.166....
c)
1/5 = 25%
d)
1/5 = 20%
13.

What is 10% of 730?

a)

73

b)

7300

c)

350

d)

735

14.
Calculate 25% of 400
a)
100
b)
16
c)
200
d)
150
15.
20% of 310?
a)
31
b)
62
c)
40
d)
300
16.

Find 75% of 12000 people

a)

9000 people

b)

3000 people

c)

1200 people

d)

6000people

17.

25% of a circle is equal to:

a)

one-fifth

b)

a quarter

c)

a half

d)

two fifth

18.

The pie chart shows the colours of 32 beads. How many green beads are there?

a)

90

b)

8

c)

11

d)

9

19.

The pie chart represents 18 people.

How many chose purple?

a)

9

b)

18

c)

6

d)

3

20.

If there were 70 coins in the jar, how many of the coins are gold?

a)

2

b)

233

c)

21

d)

10

21.

How many people like birds as pets?

a)

5/8

b)

3/25

c)

7/14

d)

57/23

22.

How many children voted for Fathima and Suraj altogether?

a)

17

b)

15

c)

20

d)

It's none of them!

23.

Given the following pattern sequence, describe the pattern that you see.

a)

Each figure has 4 more square than the one before it

b)

Each figure has 1 more square than the one before it

c)

Each figure has 1 less square than the one before it

d)

Each figure has one times as many than the one before it

e)

No descriptions match

24.

Given the following pattern sequence, describe the pattern that you see.

a)

Each figure has three times as many than the one before it

b)

Each figure has 5 more squares than the one before it

c)

Each figure has 5 less squares than the one before it

d)

Each figure has 3 more squares than the one before it

e)

No descriptions match

25.

Kylee is collecting canned goods for a food drive. On the first day she collects 2 can. On the second day she collects 8 cans. On the third day she collects 14 cans. This pattern continues for each day.


How many cans will she have after 7 days?

a)

38

b)

32

c)

44

d)

50

e)

56

26.

What is the next term for the sequence:

a)

−13.27-13.27

b)

−3-3

c)

4.734.73

d)

−16.27-16.27

e)

−19.27-19.27

27.

Which of the following sequences can be described as an arithmetic sequence? Select all that apply.

a)

{ 0, 1, 3, 6, 10, ...}

b)

{ 2, -1, -4, -7, -10, ...}

c)

{ 7, 21, 63, 189, 567, ...}

d)

{ 7, 5, 3, 1, 0, ...}

e)

{ 8, 12, 16, 20, 24, ...}

28.

Which of the following sequences can be described as an arithmetic sequence? Select all that apply.

a)

{ 6, 11, 16, 21, 25, ...}

b)

{ -5, -15, -45, -135, -405, ...}

c)

{ -7, -14, -21, -28, -35, ...}

d)

{ -7, -10, -13, -16, -19, ...}

e)

{ -10, -13, -16, -19, -21, ...}

29.

What is the next term for the sequence:


1.68, -2.32, -6.32, -10.32, -14.32, ...

a)

-18.32

b)

-4

c)

5.68

d)

-22.32

e)

None of these.

30.

Which has a common difference of -1.79?

a)

{ -2.79, -1.79, -0.79, 0.21, 1.21, ...}

b)

{ 2, 0.21, -1.58, -3.37, -6.16, ...}

c)

{ 0, 1.79, 3.58, 5.37, 7.16, ...}

d)

{ 0, -1.79, -3.58, -5.37, -7.16, ...}

e)

None of these.

31.

Given the following pattern sequence, describe the pattern that you see.

a)

Each figure has twice as many as the last figure

b)

Each figure has the same amount added to it as was added to the previous term, plus 1 more.

c)

Each figure has the same amount added as the last figure

d)

Each figure has 1 more dot than the one before it

e)

No descriptions match.

32.

Which has a common difference of -3.61?

a)

{ -4.61, -3.61, -2.61, -1.61, -0.61, ...}

b)

{ 1, 4.61, 8.22, 11.83, 15.44, ...}

c)

{ 4, 0.39, -3.22, -6.83, -11.44, ...}

d)

{ -2, -5.61, -9.22, -12.83, -16.44, ...}

e)

None of these.

33.

What is the nth term for the sequence

4, 9, 14, 19, 24, ....

a)

5n+1

b)

n+5

c)

5n-1

d)

5n+4

34.

Find the nth term of the following sequence...


5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

35.

Find the nth term of the following sequence...


8, 13, 18, 23...

a)

5n+3

b)

3n+5

c)

n+5

d)

n+3

36.

Find the nth term of the following sequence...


2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

37.

Find the nth term of the following sequence...


7, 16, 25, 24...

a)

9n-2

b)

9n+2

c)

9n-3

d)

9n+3

38.

Find the nth term of the following sequence...


-4, -1, 2, 5...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

39.

What is the nth term of the sequence

18, 16, 14, 12, ...

a)

18-2n

b)

20-2n

c)

2n+16

d)

n-2

40.

Find an expression for the nth term of the sequence

98, 94, 90, ....

a)

-4n+94

b)

-4n+102

c)

-4n

d)

4n+94

41.

Find the nth term for the following sequence:


29, 28, 27, 26, 25, ...

a)

29n - 1

b)

-n + 29

c)

-n + 30

42.

Find the nth term for the following sequence:


-8, -5, -2, 1, 4, ...

a)

-3n - 5

b)

-8n + 3

c)

3n - 11

d)

-3n + 5

43.

Find the nth term for the following sequence:

223,  213 ,  2 ,  123 ,  113 , ...2\frac{2}{3},\ \ 2\frac{1}{3}\ ,\ \ 2\ ,\ \ 1\frac{2}{3}\ ,\ \ 1\frac{1}{3}\ ,\ ...  

a)

223n − 132\frac{2}{3}n\ -\ \frac{1}{3}  

b)

13n + 213\frac{1}{3}n\ +\ 2\frac{1}{3}  

c)

−13n+3-\frac{1}{3}n+3

44.

Find the nth term of the following sequence...


5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

45.

Find the nth term of the following sequence...


8, 13, 18, 23...

a)

5n+3

b)

3n+5

c)

n+5

d)

n+3

46.

Find the nth term of the following sequence...


2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

47.

Find the nth term of the following sequence...


7, 16, 25, 24...

a)

9n-2

b)

9n+2

c)

9n-3

d)

9n+3

48.

Find the nth term of the following sequence...


3, 11, 19, 27...

a)

8n-5

b)

8n+5

c)

5n+8

d)

5n-8

49.

Find the nth term of the following sequence...


13, 21, 29, 37...

a)

8n-5

b)

8n+5

c)

5n+8

d)

5n-8

50.

Find the nth term of the following sequence...


13, 18, 23, 28...

a)

8n-5

b)

8n+5

c)

5n+8

d)

5n-8

51.

Find the nth term of the following sequence...


-3, 2, 7, 12...

a)

8n-5

b)

8n+5

c)

5n+8

d)

5n-8

52.

Find the nth term of the following sequence...


10, 17, 24, 31...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

53.

Find the nth term of the following sequence...


4, 11, 18, 25...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

54.

Find the nth term of the following sequence...


10, 13, 16, 19...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

55.

Find the nth term of the following sequence...


-4, -1, 2, 5...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

56.

Find the nth term of the following sequence...


3, 7, 11, 15...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

57.

Find the nth term of the following sequence...


4, 7, 10, 13...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

58.

Find the nth term of the following sequence...


11, 17, 23, 29...

a)

6n+5

b)

6n-5

c)

5n+6

d)

5n-6

59.

A number sequence has nth term 6n + 3


Write down the first four terms of this sequence

(a)  

60.

The nth term of a number sequence is given by 5n + 2


Find the 11th term

(a)  

61.

If the nth term is 4n-2, what are the first 3 terms?

a)

4,8,12

b)

2,6,10

c)

5,9,13

d)

3,7,11

62.

Given the nth term is 3n+1 what is the 10th term?

a)

29

b)

40

c)

33

d)

31

63.

Given the nth term is 9-2n, what is the 7th term?

a)

1

b)

-5

c)

-4

d)

-3

64.

What is the 10th term of the sequence 8n - 9

a)

-1

b)

1

c)

71

d)

89

65.

Generate the first 4 terms of the sequence with the following nth term rule...


4n - 1

a)

4, 3, 2, 1...

b)

3, 7, 11, 15...

c)

5, 9, 13, 17...

d)

4, 5, 6, 7...

66.

Find the nth term of the following sequence...


5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

67.

Identify the common difference in the sequence shown below:

-9, -13, -17, -21,...

a)

4

b)

-4

c)

5

d)

-5

68.

What is the common difference of the Arithmetic Sequence?

25, 20, 15,...

a)

5

b)

10

c)

15\frac{1}{5}

d)

-5

69.

What is the formula for a trapezoid?

a)

A = lw

b)

A = bh

c)

A = bh ÷ 2

d)

A = h(b1 + b2) ÷ 2

70.

Find the area of the parallelogram

a)

60in2

b)

32in2

c)

50cm2

d)

350cm2

71.
Find the area of the triangle
a)
60cm2
b)
66cm2
c)
33cm2
d)
63cm2
72.

What is the area of this figure?

a)

10 cm2

b)

25 cm2

c)

20 cm2

d)

5 cm2

73.

What is the area of this figure?

a)

33 cm2

b)

66 cm2

c)

17 cm2

d)

11 cm2

74.

What is the name of this figure?

a)

trapezoid

b)

triangle

c)

square

d)

rectangle

75.

What is the area of this figure?

a)

56 cm2

b)

112 cm2

c)

16 cm2

d)

60 cm2

76.

A right trapezoid is shown. What is the area, in square feet, of the trapezoid?

a)

30 ft2

b)

18 ft2

c)

16 ft2

d)

20 ft2

77.

Which formula would you use to find area of a triangle?

a)

b x h

b)

b x h ÷ 2

c)

l x w

d)

(b1+b2) x h ÷ 2

78.

Finding area is most like...

a)

Finding the distance arouind your yard for a new fence.

b)

Measuring how far your bedroom is from your front door.

c)

Measuring to see how much carpet you would need to cover the floors in a house.

79.
Find the area.
a)
46.2 ft2
b)
92.4 ft2
c)
46.2 ft
d)
92.4 ft
80.
Find the area.
a)
25.9 yd2
b)
12.95 yd2
c)
6.475 yd2
d)
12.95 m2
81.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in2 
82.
Find the area.
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
83.
Find the area.
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
84.

Decompose this irregular figure and find its total area.

a)

162 in2

b)

27 in2

c)

17 in2

d)

24 in2

85.

Decompose this irregular figure and find its combined area.

a)

36 cm2

b)

42 cm2

c)

144 cm2

d)

15 cm2

86.
Area = 36 ft2
What is the height of the rectangle?

Remember: A = bh
a)
9 ft
b)
27 ft
c)
4 ft
d)
18 ft
87.
Find the area the shaded region
a)
30 units2
b)
9 units2
c)
21 units2
d)
25.5 units2
88.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
89.
Find the area of the figure.
a)
25 yd2
b)
20 yd2
c)
30yd2
d)
25.5yd2
90.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
91.
Find the area of the triangle
a)
84in2
b)
87.5in2
c)
168in2
d)
56in2
92.
Find the area of the trapezoid
a)
50 units2
b)
35 units2
c)
70 units2
d)
40 units2
93.
Find the area of the trapezoid
a)
42 units2
b)
66 units2
c)
28 units2
d)
33 units2
94.
Find the area of the compound shape
a)
32 ft2
b)
76 ft2
c)
56 ft2
d)
120 ft2
95.

Mrs. Miller has a trapezoid shaped poster. Its bases are 18 inches and 10 inches and the height is 7 inches. How many square inches would she need to cover the poster with paint?

a)

98 in2

b)

196 in2

c)

35 in2

d)

42 in2

96.

Mrs. Louis had a rectangular shaped garden with a length of 15 feet and a width of 12.5 feet, what is the amount of square feet covered by her garden?

a)

625 ft2

b)

187.5 ft2

c)

93.75 ft2

d)

18.75 ft2

97.

A playground has the shape of a parallelogram. If the base is 30 feet and the corresponding height is 25 feet, what is its area?

a)

55 ft2

b)

110 ft2

c)

600 ft2

d)

750 ft2

98.

Mrs. Bailey has a Rangers pennant that has a base of 12 inches and is 20 inches tall. What is the area of the Rangers pennant?

a)

240 in2

b)

120 in2

c)

32 in2

d)

24 in2

99.
a)
210 in3
b)
260 in3
c)
2160 in3
d)
2610 in3
100.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
101.
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
102.
Find the volume of the prism.
a)
27 cm3
b)
72 cm3
c)
180 cm3
d)
360 cm3
103.
What shape is the base? What is the area of the base (B)?
a)
Rectangle; 60in2
b)
Triangle; 12 in2
c)
Rectangle; 32 in2
d)
Triangle; 6 in2
104.
a)
900 in3
b)
900 ft3
c)
900 m2
d)
900 in2
105.
What is the volume of the cereal box?
a)
23 in3
b)
97 in3
c)
132 in3
d)
288 in3
106.

What shape is the base of this prism?

a)

rectangle

b)

trapezoid

c)

triangle

d)

square

107.

The area of the base of this trapezoidal prism is 15 square units. What is the volume?

a)

120 units3

b)

120 units2

c)

15 units3

d)

240 unit3

108.
What is the area of the base?
a)
25 ft2
b)
40 ft2
c)
12.5 ft2
d)
35 ft2
109.

What is the volume of the trapezoidal prism?

a)

100 cubic cm

b)

2200 cubic cm

c)

220 cubic cm

d)

2200 cm

110.

Find the volume of the prism

a)

98 cubic cm

b)

49 cubic cm

c)

130 cubic cm

d)

22 cubic cm

111.
What is the name of this 3D solid?
a)
Rectangular Tetrahedron 
b)
Rectangular Prism
c)
Rectangular Pyramid
d)
Sphere
112.
What shape is this?
a)
Cube
b)
Triangular Prism
c)
Rectangular Pyramid
d)
Cone
113.
Give the name of this solid.
a)
Hexagonal Prism
b)
Hexagonal Pyramid
c)
Cuboid
d)
Pentagonal Prism
114.

Find the surface area of this cuboid...

a)

68 cm2

b)

136 cm2

c)

80 cm2

d)

76 cm2

115.

Find the surface area of this cuboid...

a)

74 mm2

b)

148 mm2

c)

120 mm2

d)

240 mm2

116.

Find the surface area of this cuboid...

a)

52 m2

b)

104 m2

c)

28 m2

d)

56 m2

117.

Find the surface area of this cuboid...

a)

181 cm2

b)

236 cm2

c)

240 cm2

d)

263 cm2

118.

Find the surface area of this cuboid...

a)

186 cm2

b)

372 cm2

c)

327 cm2

d)

168 cm2

119.

Find the surface area of this cuboid...

a)

64 cm2

b)

96 cm2

c)

128 cm2

d)

168 cm2

120.

Find the surface area of this cuboid...

a)

221 cm2

b)

212 cm2

c)

216 cm2

d)

121 cm2

121.

Find the surface area of this cuboid...

a)

36 m2

b)

66 m2

c)

72 m2

d)

33 m2

122.
What is the gradient of the line
y = 2x - 3?
a)
2
b)
-3
c)
3
d)
2x
123.
Which of these lines would be the steepest?
a)
y = 2x + 9
b)
y = 7x + 3
c)
y = 5x - 3
d)
y = 7
124.
What is the y-intercept of the line
y = 4x - 6?
a)
4
b)
4x
c)
6
d)
-6
125.
What is the y-intercept of this line?
a)
2
b)
3
c)
-3y
d)
-3
126.
Which of these lines is
y = 5?
a)
The orange one
b)
The red one
c)
The blue one
d)
The green one
127.
What rule connects the x and y values from this table?
a)
y = 2x + 5
b)
y = 4x + 1
c)
y = 3x + 3
d)
y = x + 7
128.
Which of these
co-ordinates lie on the line
y = 3x - 8?
a)
(5, 8)
b)
(0, 8)
c)
(2, -2)
d)
(1, 5)
129.
Which of these lines passes through the point (3, 7)?
a)
y = 2x + 4
b)
y = x + 5
c)
y = x + 10
d)
y = 3x - 2
130.
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
131.

Which ordered pair is NOT a solution of the equation  2x+y=72x+y=7  ?

a)

(4,−1)\left(4,-1\right)  

b)

(3, 2)\left(3,\ 2\right)  

c)

(1, 5)\left(1,\ 5\right)  

d)

(0, 7)\left(0,\ 7\right)  

132.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
133.
Vertical or horizontal?
y = -3
a)
vertical 
b)
horizontal
c)
neither
134.
What is the equation of the line?
a)
y = 0
b)
y = 1
c)
y = 2
d)
x = 1
135.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
136.
What is the midpoint between (3, -1) and (8, -6)
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)

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