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Worksheets

Triangle Properties/Area/Volume/Decimal Operations

Total questions: 130

Worksheet time: 25hrs 58mins

Name
Class
Date
1.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
2.

Find the measure of the indicated angle.

a)

56°56\degree  

b)

118°118\degree   

c)

28°28\degree  

d)

62°62\degree  

3.

Find the measure of the indicated angle.

a)

45°45\degree  

b)

33°33\degree  

c)

123°123\degree  

d)

147°147\degree  

4.

Find the measure of the indicated angle.

a)

30°30\degree  

b)

25°25\degree  

c)

155°155\degree  

d)

65°65\degree  

5.

Find the measure of the indicated angle.

a)

135°135\degree  

b)

55°55\degree  

c)

45°45\degree  

d)

60°60\degree  

6.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

7.

If two angles in a triangle are 45°45\degree  and  75°\ 75\degree , what is the measure of the third angle?

a)

75°75\degree  

b)

90°90\degree  

c)

60°60\degree  

d)

70°70\degree  

8.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
9.

Two interior angles of a triangle measure 34 degrees and 38 degrees. What is the third interior angle of the triangle?

a)

108o

b)

72o

c)

2o

d)

23o

10.

Find x.

a)

60

b)

90

c)

50

d)

180

11.
What type of angle is shown?
a)
a 90 degree angle
b)
a 180 degree angle
c)
an acute degree angle
d)
an obtuse angle
12.
What do the angles in an equilateral triangle measure?
a)
30, 60, 90
b)
45, 45, 90
c)
60, 60, 60
d)
35, 55, 90
13.

Which Angle measurements create a Triangle?

a)

60,60,61

b)

90,45,45

c)

100,50,50

d)

90,90,80

14.

Which Angle measurements does NOT create a Triangle?

a)

60,60,60

b)

90,45,45

c)

50,60,40

d)

50,100,30

15.

Which of the following could be angle measures for a triangle?

A 120°, 50°, 20°

B 100°, 200°, 60°

C 30°, 50°, 80°

D 40°, 50°, 90°

a)

A

b)

B

c)

C

d)

D

16.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
17.

Will these side lengths form a triangle?

a)

yes

b)

no

18.

Will these line segments form a triangle?

a)

yes

b)

no

19.

Will these three sides form a triangle?

a)

yes

b)

no

20.
Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12
a)
Yes
b)
No
c)
I don't know.
21.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

22.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
23.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
24.

Can the sides of a triangle have lengths 4, 7, and 18?

a)

Yes

b)

No

25.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

26.

Do the following side lengths form a triangle?

2 inches, 2 inches, 4 inches

a)

Yes

b)

No

27.

Which of the following side measures make a triangle?

a)

7, 9, 5

b)

1, 3, 7

c)

5, 8, 1

d)

10, 10, 21

28.

Measurements of 10 in, 18 in, and ​ (a)   form a triangle.

Choose from the below words
9 in
7 in
28 in
30 in
5 in
29.

Order the angles from least to greatest.

a)

A, B, C

b)

C, B, A

c)

B, A, C

d)

B, C, A

30.

Order the sides from least to greatest.

a)

AB, BC, CA

b)

BC, AB, CA

c)

AB, AC, BC

d)

CA, AB, BC

31.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
32.
What is the largest angle?
a)
J
b)
K
c)
L
33.

What is the smallest angle?

a)

∠J

b)

∠K

c)

∠L

34.
What is the biggest side?
a)
EF
b)
FG
c)
EG
35.
What is the smallest side?
a)
EF
b)
FG
c)
EG
36.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
37.
Order the angles from greatest to least. 
a)
a, b ,c
b)
a , c, b
c)
c , b , a
d)
b , c , a
38.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
39.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
40.

What it the equation to find the area of a triangle?

a)
b)
c)
d)
41.
Find the area of this triangle.
a)
20 cm2
b)
35 cm2
c)
40 cm2
d)
17.5 cm2
42.
What is the area?
a)
16 units
b)
8 units
c)
8 sq units
d)
12 sq units
43.
Find the area:
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
44.
What is the area of the rectangle?
a)
15 sq cm
b)
15 cm
c)
16 sq cm
d)
16 cm
45.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
46.
Find the area.
a)
14 in2
b)
18 in2
c)
52 in2
d)
28 in2
47.
Find the area of the trapezoid.
a)
30 cm2
b)
44 cm2
c)
88 cm2
d)
22 cm2
48.

Find the area.

a)

56

b)

56 in

c)

87 ft2

d)

56 in2

49.

Find the area.

a)

2 in2

b)

32 m2

c)

32 in

d)

32 in2

50.
Find the area of this shape
a)
13 cm
b)
36cm²
c)
13cm²
d)
36cm
51.
Find the area of this shape
a)
60 units squared
b)
45 units squared
c)
65 units squared
d)
30 units squared
52.
Find the area of this shape
a)
39 ft 
b)
108 ft
c)
108 feet squared
d)
39 feet squared
53.
Find the area of this shape
a)
84 cm²
b)
70 cm²
c)
42 cm²
d)
56 cm²
54.

Find the area of the square.

a)

100 ft2

b)

625 ft2

c)

50 ft2

d)

312.5 ft2

55.
What is the area?
a)
16 yd2
b)
22 yd2
c)
49 yd2
d)
28 yd2
56.
What is the area?
a)
20 ft2
b)
20 yards
c)
40 ft2
d)
40 yards
57.
a)
25.9 yd2
b)
12.95 yd2
c)
6.475 yd2
d)
12.95 m2
58.
a)
14.7 in2
b)
14.7  cm2
c)
28 cm2
d)
28 in2
59.
a)
40 in2
b)
40
c)
40 in
d)
4 in2
60.
a)
36 in
b)
12 in2
c)
36 in2
d)
12 in
61.
Find the area of the figure
a)
30 cm2
b)
44 cm2
c)
88 cm2
d)
22 cm2
62.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
63.
Find the area of a trapezoid with bases of 3 in and 7 in, with a height of 6 in?
a)
60 in2
b)
32 in2
c)
30 in2
d)
36 in2
64.
Find the area of a trapezoid with bases of 6 feet and 10 feet, and with a height of 6 feet?
a)
60 feet2
b)
36 feet2
c)
32 feet2
d)
48 feet2
65.
What is this polygon called?
a)
Parallel
b)
Triangle
c)
Trapezoid
d)
Square
66.

What is the formula used to find the area of this shape? *This symbol: / means divided by

a)

A= b x h/2

b)

A= s2

c)

A= l x w

d)

A= (b1 +b2)h/ 2

67.
a)
6 in
b)
9 in
c)
6 in2
d)
9 in2
68.
a)
108 ft2
b)
54 ft2
c)
42 ft2
d)
63 ft2
69.

What is the volume of this rectangular prism? (a)   cubic feet

70.

What is the volume of this rectangular prism?

a)

24 cm

b)

24 cm2

c)

24 in3

d)

24 cm3

71.

What formula can I use to find the volume?

a)

L x W

b)

L + W + H

c)

L x W x H

d)

L x W + H

72.

What is the volume of this figure?

a)

2 cubic units

b)

6 cubic units

c)

9 cubic units

d)

18 cubic units

73.

What is the volume of the figure?

a)

2 cubic units

b)

10 cubic units

c)

15 cubic units

d)

17 cubic units

74.

What is the volume of this figure?

a)

27 cubic units

b)

18 cubic units

c)

9 cubic units

d)

3 cubic units

75.

What is the volume of this figure?

a)

3 cubic units

b)

4 cubic units

c)

12 cubic units

d)

15 cubic units

76.

Which statements about the figure are true?

Choose all the correct answers.

a)

It has 3 layers with 2 cubes in each layer.

b)

It has 3 layers with 6 cubes in each layer.

c)

It has a volume of 18 cubic units.

d)

It has a volume of 6 cubic units.

e)

It has a volume of 11 cubic units.

77.

The fish tank in the library is 3 feet long, 5 feet wide, and 4 feet deep. What is the volume of the fish tank?

a)

15 ft3

b)

20 ft3

c)

60 ft3

78.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
79.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
80.

A rectangular prism has a volume of 84 cubic inches. The prism has a height of 4 inches,a length of 7 inches. What is the possible width of the prism?

a)

28 inches

b)

73 inches

c)

95 inches

d)

3 inches

81.

What is the Volume of a Cube with side lengths of 7 meters?

a)

49 cubic meters

b)

343 cubic meters

c)

28 cubic meters

d)

42 cubic meters

82.

Sara is building a box shaped like a cube. She will measure the sides to be 3 feet. What will be the Volume of Sara's Box?

a)

27 feet

b)

9 feet 3

c)

54 feet 3

d)

27 feet 3

83.

This is ____

a)

A Giraffe

b)

An Elephant

c)

A Dog

d)

A Ha

84.

A rectangle has a length of 8 units and an area of 40 square units. What is the width of the rectangle?

a)

3 units

b)

6 units

c)

10 units

d)

5 units

85.
What type of angle is this?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
86.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
87.

What is the volume of the following triangular prism? (Do not use the slant height)

a)

180 cm3

b)

160 cm3

c)

360 cm3

d)

144 cm3

88.

If the area of the base for the following triangular prism is 30 m2, what is the volume of the prism?

a)

180 m3

b)

360 m3

c)

720 m3

89.
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
90.
Find the volume of this triangular prism.
a)
1440 cm3
b)
60 cm3
c)
720 cm3
d)
180 cm3
91.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
92.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

160 cm3

c)

42 cm3

d)

40 cm³

93.
Find the volume.
a)
18 m3
b)
20 m3
c)
16 m3
d)
22 m3
94.
0.6 x 0.91
a)
0.546
b)
0.9
c)
9
d)
5.460
95.
When multiplying 17.98 × 143.5, how many times would you move the decimal?
a)
1 time to the left
b)
2 times to the left
c)
3 times to the left
d)
4 times to the left
96.
If you multiply 0.73 by 2.52, how many times would you move the decimal?
a)
2 times to the left
b)
3 times to the left
c)
4 times to the left
d)
5 times to the left
97.
18.7 x 6 = _
a)
112.2
b)
11.22
c)
112.1
d)
1.121
98.
How many digits will be behind the decimal in the product?
0.15 x 0.6
a)
0
b)
1
c)
2
d)
3
99.
How many digits will be behind the decimal in the product?
1.5 x 0.6
a)
0
b)
1
c)
2
d)
3
100.
What is the correct location of the decimal point in the product?
2.39 x 4.37 = 104443
a)
10.4443
b)
104.443
c)
10444.3
d)
1.04443
101.
What is the correct location of the decimal point in the product?
22.2 x 0.44 = 9768
a)
0.9768
b)
97.68
c)
976.8
d)
9.768
102.
14.56 ÷ 1.3
a)
112
b)
1.12
c)
11.2
d)
12
103.
9.6 ÷ 0.8
a)
12
b)
1.2
c)
7.68
d)
0.768
104.
31.8 × 0.04
a)
0.1272
b)
1.272
c)
12.72
d)
127.2
105.
Big Money Pedro bought a steak that weighs 1.4 pounds. The price is $4.50 per pound. How much does the steak cost?
a)
$4.20
b)
$6.90
c)
$22.50
d)
$6.30
106.
Find the quotient for this division problem:  0.48 ÷ .02
a)
0.24
b)
0.0096
c)
0.46
d)
24
107.
Divide:
3.6 ÷ 0.6
a)
6
b)
60
c)
600
d)
.6
108.
Mrs. Linda has 17.16 cups of brownie mix. If each brownie uses 0.33 cups of mix, how many brownies can Mrs. Linda make?
a)
52
b)
53
c)
54
d)
22
109.

Use >, <, or = to compare the numbers:

2.5 (a)   2.419


Choose from the below words
>
=
<
110.

Use >, <, or = to compare the numbers:

6.4 (a)   6.41


Choose from the below words
<
=
>
111.
4.22 and 4.220
a)
<
b)
>
c)
=
112.

Fill in the blank with < , > , or = to make the sentence true.

a)
b)
c)
113.
0.03 ____ 0.3
a)
<
b)
>
c)
=
114.

The letter d is pointing at which number?

a)

5

b)

7

c)

0.7

d)

0.9

115.

What number corresponds with the letter k?

a)

0.7

b)

0.9

c)

1.7

d)

1.9

116.

The letter h is pointing at which number?

a)

3

b)

5

c)

0.6

d)

0.8

117.

Which letter is pointing to the number 0.2?

a)

I

b)

a

c)

k

d)

j

118.

Which mixed number represents point " a " on the number line?

a)

1141\frac{1}{4}

b)

1121\frac{1}{2}

c)

54\frac{5}{4}

d)

43\frac{4}{3}

119.

What mixed number best represents the model?

a)

1 34\frac{3}{4}

b)

2 14\frac{1}{4}

c)

2 13\frac{1}{3}

d)

2 12\frac{1}{2}

120.

Which has the same value as 56\frac{5}{6}  ?

a)

5.6

b)

6÷16\div1  

c)

0.6

d)

5÷65\div6  

121.
Convert 1/4 to a decimal.
a)
0.25
b)
0.5
c)
0.14
d)
0.3
122.
Convert 0.7 to a fraction.
a)
7/100
b)
7/10
c)
70/100
d)
10/7
123.
Fractions are shown.  
1/3, 1/4, 5/8 
Order the fractions from least to greatest.
a)
1/4, 5/8, 1/3
b)
1/4, 1/3, 5/8 
c)
5/8, 1/3, 1/4
d)
1/3, 1/4, 5/8
124.

Arrange 0.71, 0.3, 12\frac{1}{2}25\frac{2}{5}   in increasing order:

a)

12\frac{1}{2}  , 0.3 , 25\frac{2}{5} , 0.71 

b)

0.3 ,  12\frac{1}{2}  ,  25\frac{2}{5}  , 0.71

c)

25\frac{2}{5}  ,  12\frac{1}{2}  , 0.3 , 0.71

d)

 0.3  ,  25\frac{2}{5}  ,  12\frac{1}{2}  ,  0.71

125.

Which has the greater value 410\frac{4}{10}  or  0.3 ?

a)

410\frac{4}{10}  

b)

0.3

126.

Which has the greater value 610\frac{6}{10}  or 0.58 ?

a)

610\frac{6}{10}  

b)

0.58

127.

Part A: Which of the following set of numbers is in order from least to greatest?

a)

¾ , .89, 1/5

b)

.89, ¾ , 1/5

c)

1/5, 3/4, .89

128.

Order from least to greatest.

a)

0.41, 0.5, 3/5

b)

3/5, 0.5, 0.41

c)

0.5, 0.41, 3/5

129.

Which number line shows 1/2

a)

A

b)

B

c)

C

d)

D

130.

Which graphs show 2.75 graphed on the number line?

a)
b)
c)
d)