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Worksheets

Mensuration

Total questions: 125

Worksheet time: 8hrs 48mins

Name
Class
Date
1.
The side of a cube whose surface area is 600 cm2 is____
a)
10 cm
b)
10 cm2
c)
60 cm
d)
6 cm
2.
Two cubes with 9 cm edge are joined end to end. Find the length of the newly formed solid.
a)
18 cm
b)
9 cm
c)
27 cm
d)
None of the above
3.

The length of the edge of a cube is 60 cm. Find the volume of the cube.

a)

180 cm3180\ cm^3

b)

21600 cm221600\ cm^2

c)

216000 cm3216000\ cm^3

d)

720 cm3720\ cm^3

4.

Calculate the volume of the cuboid.

(a)  

5.
Two cubes with 9 cm edge are joined end to end. Find the length of the newly formed solid.
a)
18 cm
b)
9 cm
c)
27 cm
d)
None of the above
6.
If the base of the triangle is doubled and height is halved, its area will be _____
a)
Doubled
b)
Halved
c)
one-fourth
d)
Same
7.

Lateral surface area of cube , whose side measures 5 cm, is

a)

150 cm2150\ cm^2

b)

125 cm2125\ cm^2

c)

25 cm225\ cm^2

d)

100 cm2100\ cm^2

8.
Fill in the blanks:
1 m² = ___________ cm²
a)
100
b)
10000
c)
1000
d)
500
9.
The sum of lengths of all sides of plane figure is called its____
a)
Area
b)
Perimeter
c)
Boundary
d)
None of the above
10.
a)
24 cm
b)
24 cm²
c)
25 cm
d)
25 cm²
11.
a)
9 feet
b)
18 feet
c)
10 feet
d)
12 feet
12.
a)
15 square units
b)
16 square units
c)
15 units
d)
16 units
13.
Say 'TRUE' or 'FALSE'
The perimeter of square of area 36 cm² is 24 cm.
a)
TRUE
b)
FALSE
14.
The perimeter of a regular pentagon is 100 cm.  The length of each of its sides is _____________
a)
20 cm
b)
10 cm
c)
25 cm
d)
15 cm
15.
The side of a square whose perimeter is 64 cm is __________
a)
32 cm
b)
8 cm
c)
16 cm
d)
12 cm
16.
What is the perimeter of an equilateral triangles whose side is 25 cm?
a)
50 cm
b)
100 cm
c)
75 cm
d)
125 cm
17.
Find the lateral area of the figure.
a)
96 ft2
b)
192 ft2
c)
84 ft2
d)
108 ft2
18.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
19.
A rectangular brick has a length of 5 centimeters, a width of  9 centimeters and a height of 20 centimeters. What is the surface area of that brick? 
a)
650 cm2
b)
600 cm2
c)
525 cm2
d)
450 cm2
20.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
21.
Solve for Lateral Surface Area
(The base is the bottom and the top)
a)
748m2
b)
748 m3
c)
588 m2
22.
Find the surface area of the rectangular prism with the following dimensions: 
length = 11 m
height = 7 m
width = 2 m
a)
226 m2
b)
220 m2
c)
150 m2
d)
154 m2
23.
Mr. Murphy wants to paint his storage shed.  He needs to calculate the lateral surface area of the shed so he will know how much paint to buy. The shed is in the shape of a rectangular prism shown below. 
Including the doors, what is the lateral surface area of the storage shed in square feet?
a)
784 ft2
b)
266 ft2
c)
 532 ft2
d)
336 ft2
24.
Coach Hanf covered the outside of a gift box shaped like a rectangular prism with paper.  The box is 3.2 feet long, 2.1 feet wide, and 2.7 feet high.  Which of the following is closest to the total surface area of the box? 
a)
34 ft2
b)
42 ft2
c)
30 ft2
d)
18 ft2
25.
What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?
a)
15 cubic inches
b)
60 cubic inches
c)
30 cubic inches
d)
10 cubic inches
26.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
27.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
28.
A cube's side length measures 15 inches.  What is the surface are of the cube?
a)
225 in2
b)
1350 in2
c)
3375 in2
d)
1125 in2
29.
What is surface area?
a)
The measure of the amount of space inside of a solid figure
b)
The sum of all the areas of all the shapes that cover the object
30.
FInd the Surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
31.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
32.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
33.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
34.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
35.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
36.
What shape is this?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
37.
What is the volume of this prism?
a)
6 cubic in
b)
12 cubic in
c)
24 cubic in
38.
Which units are NOT used for volume?
a)
cm3
b)
m3
c)
mm3
d)
km2
39.
a)
80 in3
b)
24 in3
c)
21 in3
d)
13 in3
40.
Find the volume.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
41.
Find the volume.
a)
24 cubic units
b)
28 cubic units
c)
12 cubic units
d)
20 cubic units
42.
A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
43.
length=2
width=2
height=3
a)
Volume=12 cubic units
b)
Volume=7 cubic units
c)
Volume=223 cubic units
d)
Volume=18 cubic units
44.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
45.
A cube has a length of 3 inches.  Find the volume.
a)
9 inches3
b)
12 inches3
c)
27 inches3
d)
18 inches3
46.
Find the volume. The units are measured in centimeters.
a)
36 cm3
b)
36 cm2
c)
63 cm2
d)
63 cm3
47.
Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
48.
Find the volume.
a)
25 ft3
b)
126 ft2
c)
126 cubic feet
d)
11 cubic feet
49.

This is a net of what shape?

a)

Triangular Prism

b)

Rectangular Prism

c)

Cube

d)

Pyramid

50.

Which one is the correct net of a cube?

a)

A

b)

B

c)

C

d)

D

51.
a)
Rectangular Prism
b)
Cube
c)
Triangular Prism
d)
Square
52.
Find the surface area of the rectangular prism.
a)
29 cm2
b)
912 cm2
c)
348 cm2
d)
438 cm2
53.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
54.

This is a net of a cube?

a)

True

b)

False

55.
What is the perimeter?
a)
15
b)
10
c)
3
56.
What is the perimeter?
a)
20
b)
40
c)
60
57.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

58.

Find the perimeter of the given shape

a)

19 ft

b)

22 ft

c)

16 ft

d)

21 ft

59.

Find the area of this shape.

a)

63 cm2

b)

37 cm2

c)

73 cm2

d)

36 cm2

60.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
61.

What is the perimeter of this shape?

a)

33 cm

b)

23 cm

c)

36 cm

d)

40 cm

62.

What is the perimeter of this shape?

a)

38 cm

b)

41 cm

c)

42 cm

d)

39 cm

63.

What is the perimeter of this shape?

a)

200 mm

b)

210 mm

c)

150 mm

d)

65 mm

64.

What is the perimeter of this shape?

a)

20 m

b)

30 m

c)

31 and 1/2 m

d)

28 m

65.

What is the area of this shape?

a)

154 square mm

b)

130 square mm

c)

113 square mm

d)

36 square mm

66.

What is the area of this shape?

a)

36 square cm

b)

52 square cm

c)

48 square cm

d)

60 square cm

67.

What is the area of this shape?

a)

28 square units

b)

35 square units

c)

29 square units

d)

16 square units

68.

What is the area of this shape?

a)

45 square units

b)

46 square units

c)

36 square units

d)

9 square units

69.

What is the area of this shape?

a)

49 square units

b)

40 square units

c)

61 square units

d)

89 square units

70.
What is the perimeter of this rectangle? 
a)
60 in
b)
34 cm
c)
60 cm
d)
34 in
71.

Find the perimeter

a)

25cm

b)

35cm

c)

50cm

d)

100cm

72.

Find the perimeter

a)

25cm

b)

35cm

c)

50cm

d)

100cm

73.

Area is the _____________ of a shape.

a)

inside

b)

outside

c)

top

74.

Tell me the perimeter of this shape.

a)

9

b)

12

c)

29

75.
a)

16 U2

b)

16 Square Units

c)

16 in

d)

8 in

76.
a)

12

b)

12 ft

c)

32 U2

d)

32 sq ft

77.

Find the area of each figure, round your answer to nearest whole number.

a)

55

b)

45

c)

50

d)

60

78.

Find the missing yellow length

a)

2 cm

b)

6 cm

c)

9 cm

d)

4 cm

79.

How many cm is the missing length ?

(just the number. no units)

(a)  

80.

To calculate the area of this compound shape you would split it into two..........

a)

halves

b)

rectangles

c)

squares

81.

The compound shape has been split into 2 rectangles. The area of rectangle A is 4 cm x ? cm

(just the number. no units)

(a)  

82.

The area of rectangle B is ?

a)

5 cm x 12 cm

b)

5 cm x 11 cm

c)

12 cm x 5 cm

d)

8 cm x 5 cm

83.

The compound shape has been split into shape A and shape B. Which one is a square ?

a)

A

b)

B

84.

Work out the AREA of this compound shape.

(just the number. No units)

(a)  

85.

How do i work out the perimeter of this shape ?

a)

Split it into two rectangles

b)

Multiply the lengths

c)

Find the area first

d)

Add up all the outside lengths

86.

Find the area of the figure shown.

a)

34 units2

b)

960 units2

c)

220 units2

d)

480 units2

87.
What is the area of this shape?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
88.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
89.
Find the area
a)
150m2
b)
120m2
c)
126m2
d)
200m2
90.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
91.

What is the name of this shape?

a)

Rectangle

b)

Parallelogram

c)

Trapezium

d)

Square

92.

What is the area of this rectangle?

a)

8 cm2

b)

36 cm2

c)

26 cm

d)

26 cm2

93.

What is the perimeter of this compound shape?

(a)  

94.

What is the area of this square?

a)

20 cm2

b)

25 cm2

c)

10 cm2

d)

25 cm

95.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
96.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
97.
What is the area of the composite figure?
a)
144 m2
b)
111 m2
c)
45 m2
d)
70 m2
98.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
99.
Find the area
a)
150m2
b)
120m2
c)
126m2
d)
200m2
100.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
101.
What is the pattern of the following numbers
32, 30, 28, 26, 24
a)
Growing 
b)
Repeating
102.
What is the pattern growing by 
23, 28, 33, 38
a)
+5
b)
-5
c)
+2
d)
-2
103.
What is the pattern of the following numbers
40, 45, 50, 55, 60 
a)
Growing 
b)
Repeating
104.
What number belongs in the blank?
18,24,___,36,42
a)
28
b)
31
c)
30
d)
35
105.

Describe the rule in the pattern.

a)

plus 8

b)

plus 6

c)

plus 7

d)

minus 7

106.
What number belongs in the blank?
18,24,___,36,42
a)
28
b)
31
c)
30
d)
35
107.
What are the missing numbers in this pattern?
22, 29, 36, ___, 50, ___
a)
35, 55
b)
40, 57
c)
41, 56
d)
43, 57
108.
Round to the nearest hundred:
752
a)
700
b)
800
c)
750
d)
760
109.
Determine the next term in the sequence:
2, 7, 14, 23,...
a)
30
b)
32
c)
34
d)
36
110.
The next two terms in the sequence 19, 28, 37, 46 , .... are 
a)
59 and 68
b)
57 and 66
c)
55 and 65
d)
54 and 63
111.
For the sequence 29, 22, 15 , 8, .... t2 and t5  are
a)
29 and 8
b)
22 and 1
c)
22 and 0
d)
29 and 15
112.
The terms in the number sequence 1, 2, 3, 5, ...are generated by:
a)
adding the previous two terms
b)
adding 1
c)
adding 1 and 2
d)
the sequence does not fit a pattern
113.

Find the nth term of the following sequence...


5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

114.

Find the nth term of the following sequence...


8, 13, 18, 23...

a)

5n+3

b)

3n+5

c)

n+5

d)

n+3

115.

Find the nth term of the following sequence...


2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

116.

Find the nth term of the following sequence...


11, 17, 23, 29...

a)

6n+5

b)

6n-5

c)

5n+6

d)

5n-6

117.

Find the nth term of the following sequence...


4, 7, 10, 13...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

118.

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...

119.

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


3n + 7

a)

10, 13, 16, 19...

b)

7, 10, 13, 16...

c)

10, 14, 18, 22...

d)

10, 17, 24, 31...

120.

What is the 20th term in the sequence...


9n - 4

a)

176

b)

184

c)

108

d)

180

121.

What is the 20th term in the sequence...


9n - 4

a)

176

b)

184

c)

108

d)

180

122.

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

a)

1

b)

-5

c)

-4

d)

-3

123.

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

a)

29

b)

40

c)

33

d)

31

124.

The nth term of a sequence is: 4n - 1.

Is 35 a number in the sequence?

a)

Yes

b)

No

125.

The nth term of a sequence is 5n - 2.

Is 23 a number in the sequence?

a)

Yes

b)

No