Free Printable Math 8_3rd Term Exam Reviewer

1.

What is the area of the smaller blue square?

a)

11 square units

b)

77 square units

c)

22 square units

d)

55 square units

2.

How far, in units, is point A(3, 6) from point B(3, -5)?

a)

11 units

b)

1 unit

c)

0 unit

d)

2 units

3.

Radius is a line segment that passes through its center and has endpoints on the circle.

a)

True

b)

False

4.

A three-dimensional figure with two sides parallel circular bases that are the same size.

a)

Cone

b)

Cuboid

c)

Cylinder

d)

Sphere

5.

Pythagorean theorem is only true to right triangles.

a)

True

b)

False

6.

Diameter of a circle is half its radius.

a)

True

b)

False

7.

Circumference of a circle is the product of pi and its diameter.

a)

True

b)

False

8.

Surface area is the total area of the surfaces of a three-dimensional figure.

a)

True

b)

False

9.

Volume is the total space enclosed/occupied by any 3-dimensional object or solid shape.

a)

True

b)

False

10.

The volume of a cone is $\frac{1}{3}$ of the volume of the sphere.

a)

True

b)

False

11.

It is a triangle in which two sides are perpendicular, forming a right angle?

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Right Triangle

d)

Scalene Triangle

12.

What is the "c" or the unknown side of the given right triangle?

a)

Longer leg

b)

Shortest leg

c)

Height

d)

Hypotenuse

13.

What is the height of a sphere with a radius of 16 m?

a)

32 meters

b)

8 meters

c)

16π meters

d)

4 meters

14.

In a right triangle, the sum of the squares of the legs' lengths is equal to the square of the hypotenuse.

a)

True

b)

False

15.

Which of the following sets of numbers is NOT a Pythagorean triple?

a)

7-24-25

b)

5-12-13

c)

11-60-61

d)

9-11-16

16.

What is the diagonal length of a square with side lengths that measure 1 foot?

a)

1 foot

b)

2 feet

c)

22 feet

d)

$\sqrt[]{2}$ feet

17.

The base of a 13-feet ladder is placed 5 feet from the wall. How far above the ground is point where the ladder touches the wall?

a)

13.93 feet

b)

12 feet

c)

4.24 feet

d)

194 feet

18.

The circumference of the base of a cylinder is 12π inches. What is its radius?

a)

6 inches

b)

24 inches

c)

6π inches

d)

12 inches

19.

What is the volume of the sphere with a radius of 5 cm?

a)

20.9 cm3

b)

26.2 cm3

c)

523.6 cm3

d)

104.7 cm3

20.

What is the length of the hypotenuse of the right triangle with side lengths 6 feet and 8 feet?

a)

10 feet

b)

14 feet

c)

5.29 feet

d)

9.27 feet

21.

What is the volume of the cylinder with a diameter of 30 feet and a height of 60 feet?

a)

13,500 cubic feet

b)

54,000 cubic feet

c)

18,000 cubic feet

d)

4,500 cubic feet

22.

What is the volume of a cylinder with a base area of 16 square feet and a height of 4 feet?

a)

20 cubic feet

b)

8 cubic feet

c)

256 cubic feet

d)

64 cubic feet

23.

The cone has a volume of 15,225π cubic millimeters. What is the radius of the base if the cone has a height of 203 millimeters?

a)

15 mm

b)

75 mm

c)

101.5 mm

d)

218 mm

24.

What is the surface area of a sphere with a height of 12 cm?

a)

216π cm2

b)

864π cm2

c)

576π cm2

d)

144π cm2

25.

If the volume of a cone is $\frac{1}{3}$ of the volume of a cylinder with an equal circular base, what is the volume of the cylinder if the cone inside of it has a volume of 36π cubic centimeters?

a)

$12\ cm^3$

b)

$108\ cm^3$

c)

$108\pi\ cm^3$

d)

$12\pi\ cm^3$

26.

Hypotenuse is the shortest side of a right triangle.

a)

True

b)

False

27.

The Pythagorean Theorem is
c² = a² - b²

a)

false

b)

true

28.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

29.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

30.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

31.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

32.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

33.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

34.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

35.

What is the formula used to solve for the hypotenuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

36.

solve for x

a)

5552363959656.

b)

10

c)

100

d)

89

37.

solve for the value of y

a)

13

b)

5

c)

23

d)

10

38.

solve for c

a)

7

b)

9

c)

4

d)

13

39.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

40.

Use the Pythagorean Theorem to find x, the length of the diagonal.

a)

50

b)

75

c)

64

d)

45

41.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

42.

Solve for the walkway length

a)

30

b)

40

c)

58

d)

35

43.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

44.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

45.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

46.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

47.

_{^{Find the missing side}}

a)

√29.2

b)

√400

c)

√20

d)

√10

48.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

49.

Name the longest side of a right triangle.

a)

leg a

b)

leg b

c)

leg

d)

hypotenuse

50.

solve for c

a)

7

b)

9

c)

4

d)

13

51.

Which of the following is the formula in getting the surface area of a cylinder?

a)

$2\pi rh\ +\ 2\pi r^2$

b)

$\pi rs\ +\ \pi r^2$

c)

$4\pi r^2$

d)

$\frac{bh}{2}$

52.

Which of the following is the formula in getting the surface area of a sphere?

a)

$2\pi rh\ +\ 2\pi r^2$

b)

$\pi rs\ +\ \pi r^2$

c)

$4\pi r^2$

d)

$\frac{bh}{2}$

53.

Find the surface area of the figure

a)

$25.12\ cm^2$

b)

$87.92\ cm^2$

c)

$113.04\ cm^2$

d)

$2208.55\ cm^2$

54.

Find the surface area of the figure

a)

$235.50\ cm^2$

b)

$157\ cm^2$

c)

$78.50\ cm^2$

d)

$78.30\ cm^2$

55.

Find the surface area of the figure

a)

$803.84\ cm^2$

b)

$200.96\ cm^2$

c)

$64\ cm^2$

d)

$33.12\ cm^2$

56.

What is the surface area formula for a cylinder?

a)

SA = πrl + πr²

b)

SA = πr² + π2rh

c)

SA = 4πr²

d)

SA = πr²h

57.

What is the total surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

58.

Find the Total Surface area of the cylinder.

a)

62.8m

b)

477.28 cm²

c)

235.5 cm³

d)

942 cm²

59.

Find the total surface area of the cylinder. Round to the nearest tenth.

a)

60.4 m²

b)

188.4 m²

c)

94.2 m²

d)

881.9 m²

60.

What is the surface area formula for a cone?

a)

SA = πrl + πr²

b)

SA = 2πrh + 2πr²

c)

SA = 4πr²

d)

SA = πr²

61.

Find the total surface area of this figure.

Round to the nearest hundredth.

a)

84.44 sq in

b)

25.25 sq in

c)

104.62 sq in

d)

56.52 sq in

62.

Find the surface area. Use 3.14 for pi.

a)

117.88

b)

113.04

c)

46.38

d)

68.72

63.

What is the formula for the surface area of a sphere?

a)

SA = πr²h

b)

SA = 4πr²

c)

SA = (4/3)πr²

d)

SA = (4/3)πr³

64.

What is the surface area?

a)

6658.56 mm²

b)

452.16 mm²

c)

904.32 mm²

d)

108.8 mm²

65.

Find the surface area.

a)

221.6 cm²

b)

70.6 cm³

c)

17.6 cm³

d)

886.2 cm²

66.

CHALLENGE: Find the surface area of the hemisphere. (hint: think about what part of a sphere a HEMISPHERE is AND ALSO what other two-dimensional shape is it composed of)

a)

904.3 in²

b)

339.3in²

c)

113.0 in²

d)

452.2 in²

67.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

68.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

69.

A cylinder has a height of 4 m and a diameter or 4 m. What is the volume?

a)

64π m³

b)

16π m³

c)

64π m²

d)

16π m²

70.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

71.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

72.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

73.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

74.

The formula for the Volume of ...

a)

Cylinders

b)

Spheres

c)

Cones

75.

The formula for the Volume of ...

a)

Cylinder

b)

Cone

c)

Sphere

76.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

77.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

a)

50.27 ft³

b)

150.72 ft³

c)

not here

d)

192.65 ft³

78.

How do you find the volume of a cylinder?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

79.

How do you find the volume of a cone?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

80.

How do you find the volume of a sphere?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

81.

Determine the volume of the cone.

a)

125.6

b)

3768

c)

942

d)

251.2

82.

Find the volume of the cylinder.

a)

678.24

b)

1526.04

c)

339.12

d)

2034.72

83.

Determine the volume of the sphere.

a)

310181.76

b)

38772.72

c)

1846.32

d)

7385.28

84.

A jar of jam has a diameter of 6 cm and a height of 8 cm. If the jar is half full, then what is the volume of the jam in the jar?

a)

452.16

b)

904.32

c)

226.08

d)

113.04

85.

Find the volume of the cone.

a)

55.7

b)

200.96

c)

100.5

d)

33.5

86.

Find the volume of the cone.

a)

113.04

b)

37.68

c)

12.56

d)

75.42

87.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

88.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

89.

A cylinder has a height of 4 m and a diameter or 4 m. What is the volume?

a)

64π m³

b)

16π m³

c)

64π m²

d)

16π m²

90.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

91.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

92.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

93.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

94.

The formula for the Volume of ...

a)

Cylinders

b)

Spheres

c)

Cones

95.

The formula for the Volume of ...

a)

Cylinder

b)

Cone

c)

Sphere

96.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

97.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

a)

50.27 ft³

b)

150.72 ft³

c)

not here

d)

192.65 ft³

98.

How do you find the volume of a cylinder?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

99.

How do you find the volume of a cone?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

100.

How do you find the volume of a sphere?

a)

V= ^1/₃πr²h

b)

V= ^4/₃πr²h

c)

V= ^4/₃πr³

d)

V= πr²h

101.

Determine the volume of the cone.

a)

125.6

b)

3768

c)

942

d)

251.2

102.

Find the volume of the cylinder.

a)

678.24

b)

1526.04

c)

339.12

d)

2034.72

103.

Determine the volume of the sphere.

a)

310181.76

b)

38772.72

c)

1846.32

d)

7385.28

104.

A jar of jam has a diameter of 6 cm and a height of 8 cm. If the jar is half full, then what is the volume of the jam in the jar?

a)

452.16

b)

904.32

c)

226.08

d)

113.04

105.

Find the volume of the cone.

a)

55.7

b)

200.96

c)

100.5

d)

33.5

106.

Find the volume of the cone.

a)

113.04

b)

37.68

c)

12.56

d)

75.42

107.

Find the straight-line distance between the two points:

a)

12 units

b)

5 units

c)

169 units

d)

13 units

e)

11 units

108.

Find the straight-line distance between the two points. Round your answer to the nearest tenths place.

a)

8.6 units

b)

5 units

c)

7 units

d)

7.4 units

e)

9.1 units

109.

Find the shortest distance between the greenhouse and hospital.

(HINT: No Pythagorean Theorem needed - you can just COUNT the units because the two points form a straight line!)

a)

3 units

b)

5 units

c)

4 units

d)

6 units

110.

Find the shortest distance between the police station and animal shelter.

(HINT: Draw a right triangle and use the Pythagorean Theorem!)

a)

2 units

b)

8 units

c)

6 units

d)

2.51 units

e)

6.32 units

111.

Find the shortest distance between the art museum and gas station.

(HINT: Draw a right triangle and use the Pythagorean Theorem!)

a)

5.0 units

b)

3.6 units

c)

13 units

d)

4.1 units

e)

2.9 units

112.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

113.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

114.

Find the distance.

a)

8.4

b)

7.8

c)

8.5

d)

7.9

115.

Which side of a right triangle has the longest length?

a)

Leg 1

b)

Leg 2

c)

Hypotenuse

d)

Right Angle

116.

You are given the side lengths of 4, 43, 8. Would this make a right triangle?

a)

Yes

b)

No -The hypotenuse should be approximately 8.9 units.

c)

No -The hypotenuse should be approximately 43.7 units.

117.

Do the side lengths of 8, 15, and 17 form a right triangle?

a)

No because the hypotenuse does not equal 15²

b)

Yes

c)

No because the two legs do not equal the hypotenuse of 8 units.

118.

Which 3 lengths would in fact make a right triangle?

a)

4, 3, 5

b)

4, 3, 7

c)

8, 5, 6

119.

You are given the side lengths of 13, 11, 24. Would this make a right triangle?

a)

Yes

b)

No-The hypotenuse length should be approximately 16.9 units.

c)

No the hypotenuse length should be approximately 17.03 units.

120.

True or False: The 13, 12 and 5 units make a right triangle.

a)

True

b)

False

121.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

122.

Is this a right triangle

a)

No

b)

Yes

123.

Is this a right triangle?

a)

No

b)

Yes

124.

Is this triangle a right triangle?

a)

yes

b)

no

125.

Is this a right triangle?

a)

Yes

b)

No

126.

Which equation would you use to find the volume of this composite figure?

a)

π(2)²(8) + ⁴/₃π(2)³

b)

π(2)²(4) + ⁴/₃π(2)³

127.

What is the volume of this composite figure? (The top hemisphere is removed from the cylinder.) Use 3.14 for pi.

a)

254.3 in³

b)

367.4 in³

128.

What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.

a)

4825.5 ft³

b)

1206.4 ft³

129.

Find the volume of the following shape.

(What two solids are being added together??)

a)

4155.27 m³

b)

1038.82 m³

c)

804.24 m³

d)

1005.31 m³

130.

What is the volume of the composite solid? (round to nearest whole number)

a)

19 ft³

b)

24 ft³

c)

29 ft³

d)

34 ft³

Math 8_3rd Term Exam Reviewer

Total questions: 130

Worksheet time: 7hrs 44mins

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