Free Printable 8th Grade Term 4 Review

1.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

2.

Solve the following equation.

$x^2=121$

a)

11, -11

b)

11

c)

-11

d)

25

3.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

4.

_{^{Find the missing side}}

a)

9

b)

41

c)

$\sqrt[]{41}$

d)

3

5.

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

6.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

7.

Solve the following equation.

$x^2-9=18$

a)

5, -5

b)

5

c)

-5

d)

14

8.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

9.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

10.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.5 feet

c)

13 feet

d)

11.6 feet

11.

Find the 3-dimensional diagonal of the following shape.

a)

9.90 in.

b)

120 in.

c)

4

d)

10.65

12.

A can of chili has a radius of 5.25 cm and a height of 13 cm. Find the volume.

a)

1152.67 cubic cm

b)

1125.67 cubic cm

c)

281.48 cubic cm

d)

255.25 cubic cm

13.

Find the volume to the nearest whole number using 3.14 instead of Pi.

a)

151 ft³

b)

152 ft³

c)

150 ft³

d)

150.72 ft³

14.

V = ?

a)

150.72 mm³

b)

904.32 mm³

c)

2,712.96 mm³

15.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

5572.45 cm³

b)

506.59 cm³

c)

126.65 cm³

d)

1393.11 cm³

16.

v = ?

a)

2,144.66 m³

b)

1,608.49 m³

c)

536.17 m³

d)

498.62 m³

17.

A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.

a)

7234.6 cm³

b)

7984.6 cm³

c)

8934.4 cm³

d)

6034.7 cm³

18.

Volume = ?

a)

1,356 m³

b)

1,734 m³

c)

377 m³

d)

590 m³

19.

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

a)

The volume of Ball 2 is twice the volume of Ball 1.

b)

The volume of Ball 1 is 8 times the volume of Ball 2.

c)

The volume of Ball 1 is twice the volume of Ball 2.

d)

The volume of Ball 2 is 8 times the volume of Ball 1.

20.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

21.

A sugar cone can hold 25 cm³ of vanilla ice cream and it has a radius of 1.75 cm. How tall is the sugar cone? Round answer to nearest tenth.

a)

h = 7.8 cm

b)

h = 7.0 cm

c)

h = 24.5 cm

d)

h = 1000 cm

22.

a)

√12

b)

12

c)

72

d)

√72

23.

a)

100

b)

√20

c)

10√2

d)

2√10

24.

a)

3√2

b)

√6

c)

6

d)

2√3

25.

a)

√25

b)

√5

c)

5

d)

25

26.

a)

-15√2

b)

-6√5

c)

-150

d)

15√2

27.

a)

x⁵y¹⁰√xy

b)

x³√y¹⁰

c)

x⁶y²⁰

d)

x³y¹⁰

28.

a)

x^4.5

b)

x⁵√x

c)

x⁴√x

d)

x³

29.

a)

2x³y¹⁰√y

b)

2x³y⁷

c)

x³y¹⁰√2y

d)

2x⁵y¹⁰√xy

30.

a)

2x¹²y¹⁸√6

b)

12x¹²y¹⁸

c)

2x¹²y⁶√6

d)

12x¹²y6

31.

Simplify completely:

a)

4

b)

c)

d)

cannot be simplified.

32.

Simplify completely

a)

b)

c)

d)

33.

Simplify completely:

a)

b)

c)

d)

Cannot be simplified.

34.

Simplify completely:

a)

b)

c)

d)

cannot be simplified

35.

Simplify completely:

a)

b)

c)

d)

36.

Simplify completely:

a)

b)

c)

d)

Cannot be simplified.

37.

Simplify completely:

a)

b)

c)

d)

Cannot be simplified.

38.

$\sqrt{2}+3\sqrt{2}$

a)

$3\sqrt{2}$

b)

$-2\sqrt{2}$

c)

$4\sqrt{2}$

d)

$0$

39.

$4\sqrt{5}-3\sqrt{5}$

a)

$0$

b)

$\sqrt{5}$

c)

$7\sqrt{5}$

d)

impossible

40.

$5\sqrt{3}-7\sqrt{3}+2\sqrt{2}$

a)

$12\sqrt{2}$

b)

$12\sqrt{3}$

c)

$0$

d)

$-2\sqrt{3}+2\sqrt{2}$

41.

$2\sqrt{3}+\sqrt{27}$

a)

$3\sqrt{27}$

b)

$3\sqrt{3}$

c)

$6\sqrt{3}$

d)

$5\sqrt{3}$

42.

$\sqrt{8}+\sqrt{18}$

a)

$2\sqrt{8}$

b)

$5\sqrt{2}$

c)

$4\sqrt{2}$

d)

$6\sqrt{2}$

43.

$\sqrt{50}+2\sqrt{8}$

a)

$2\sqrt{58}$

b)

$9\sqrt{2}$

c)

$3\sqrt{8}$

d)

impossible

44.

Divide.
$\frac{\sqrt{32}}{\sqrt{8}}$

a)

$2$

b)

$4$

c)

$\sqrt{24}$

d)

$2\sqrt{6}$

45.

Divide.
$\sqrt{\frac{144}{9}}$

a)

$16$

b)

$4$

c)

$12$

d)

$3$

46.

Multiply.
$3\sqrt{5}\cdot4\sqrt{2}$

a)

$10\sqrt{12}$

b)

$12\sqrt{10}$

c)

$7\sqrt{7}$

d)

$12\sqrt{2}$

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

The side length of square is 6.8 ft. What is the area of the square?

a)

13.6ft²

b)

27.2ft²

c)

46.24ft²

51.

Given the area of a square, how do you find the side length?

a)

Divide the area by 2

b)

Divide the area by 4

c)

Square the area

d)

Take the Square root of the area

52.

The area of a square is 117 square meters. Which best represents the length of a side of the square?

a)

10.8 m

b)

11 m

c)

10 m

d)

11.2 m

53.

Convert fraction to decimal

1/10

a)

0.1

b)

0.01

c)

0.001

54.

Convert fraction to decimal

3/100

a)

0.3

b)

0.03

c)

0.003

55.

Convert decimal to fraction

0.82

a)

82/10

b)

82/100

c)

82/1000

56.

3/8=

a)

0.375

b)

3.8

c)

.38

d)

2.6

57.

a)

3/10

b)

1/3

c)

1/9

d)

30/99

58.

Convert 4/5 to a decimal

a)

0.45

b)

0.5

c)

0.8

d)

0.4

59.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

60.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

π

d)

0.2

61.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

62.

4π

a)

rational

b)

irrational

63.

√7

a)

Rational

b)

Irrational

c)

real

d)

fake

64.

-17.5

a)

Rational

b)

Irrational

c)

real

d)

fake

65.

.141414141414...

a)

Rational

b)

Irrational

c)

real

d)

fake

66.

Is 3.74 a rational number?

a)

yes

b)

no

67.

Convert 0.36 to a fraction in simplest form

a)

9/25

b)

36/100

c)

36/10

d)

9/250

68.

Convert $\frac{2}{5}$ to a decimal

a)

0.5

b)

0.2

c)

0.4

d)

0.10

69.

Convert $\frac{12}{100}$ to a decimal

a)

0.12

b)

0.25

c)

0.4

d)

0.10

70.

Convert $\frac{4}{25}$ to a decimal.

a)

0.20

b)

0.16

c)

4.25

d)

0.25

71.

What decimal is equivalent to $\frac{1}{8}$ ?

a)

.12

b)

1.8

c)

.125

d)

8.1

72.

Convert 0.252525... to a fraction.

a)

25/9

b)

25/99

c)

25/100

d)

1/4

73.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

74.

Convert 0.769769769... to a fraction.

a)

769/999

b)

769/1000

c)

769/100

d)

769/99

75.

a)

77/25

b)

77/250

c)

308/9

d)

308/999

76.

a)

2 23/100

b)

2 23/10

c)

2 23/9

d)

2 23/99

8th Grade Term 4 Review

Total questions: 76

Worksheet time: 2hrs 52mins

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