Free Printable Math 8 Midterm

1.

A perfect square is which type of number?

a)

Rational

b)

Irrational

2.

A non-perfect square is which type of number?

a)

Rational

b)

Irrational

3.

A fraction is which type of number?

a)

Rational

b)

Irrational

4.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

5.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

6.

A non-terminating, non-repeating decimal is which type of number?

a)

Rational

b)

Irrational

7.

Which of the following contains only integers?

a)

2.5, .764567..., 1/2, √27

b)

-17, √4, √16, 6

c)

0, 4.45, -3, 1/6

d)

5, -4.5, -8, 0

8.

List all the classifications of numbers that apply to the real number.
436

a)

Irrational

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational, Integer

9.

Zero

a)

Rational, Integer

b)

Rational

c)

Rational, Integer, Whole

d)

Rational, Integer, Whole, Natural

10.

What type of number is π ?

a)

Rational

b)

Irrational

11.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a ratio.

c)

A rational number cannot be a repeating decimal.

12.

Whole numbers are a subset of integers.

a)

True

b)

False

13.

Integers are a subset of natural numbers.

a)

True

b)

False

14.

Irrational numbers are a subset of Rational numbers.

a)

True

b)

False

15.

Integers, whole numbers, and counting numbers are a subset of ______________.

a)

Rational Numbers only

b)

Irrational Numbers

c)

Rational and Real numbers

d)

Real numbers only

16.

Find the missing length for right triangle to the nearest tenth. a=4, b=7 c=?

a)

c=7.1

b)

c=6.1

c)

c=5.1

d)

c= 8.1

17.

Find the missing length for a right triangle to the nearest tenth. a=30, b=72, c=?

a)

c=68

b)

c=78

c)

c=88

d)

c=98

18.

Find the length for right triangle if a=6, b=8, c=?

a)

c=7

b)

c=8

c)

c=9

d)

c=10

19.

Estimate square root $\sqrt{30}$

a)

6.01

b)

6.34

c)

5.47

d)

5.01

20.

Estimate square root of $\sqrt{150}$

a)

13.24

b)

13

c)

11.24

d)

12.24

21.

Solve and write your answer in simplest form.

2 ⅜ + 1 ¾

a)

4 (1/8)

b)

4 (5/8)

c)

4 1/4

d)

3 (6/8)

22.

Solve and write your answer in simplest form.

2 ⅜ - 1 ¾

a)

5/8

b)

1 (3/8)

c)

1 (1/2)

d)

7/8

23.

Solve and write your answer in simplest form.

3 ½ X (1 ¾)

a)

49/8

b)

6 (1/8)

c)

6 (3/4)

d)

6 (5/8)

24.

Solve and write your answer in simplest form.

2 ⅜ ÷ 1 ¾

a)

76/32

b)

19/14

c)

1 (5/14)

d)

1 (9/14)

25.

$4\ \frac{1}{3}\ \div\ 2\ \frac{1}{2}$

a)

$1\frac{11}{15}$

b)

$1\ \frac{12}{15}$

c)

$1\frac{13}{15}$

d)

$1\ \frac{8}{15}$

26.

$4\ \frac{4}{5}\ \div\frac{6}{7}$

a)

$5\ \frac{2}{7}$

b)

$5\ \frac{3}{5}$

c)

$5\ \frac{4}{5}$

d)

$5\ \frac{2}{5}$

27.

Write decimal as a fraction 0.31

a)

$\frac{31}{10}$

b)

$\frac{31}{100}$

c)

$\frac{100}{31}$

d)

$\frac{31}{100}$

28.

Write decimal as a mixed number 5.61

a)

$5\frac{61}{10}$

b)

$5\frac{61}{1000}$

c)

$5\frac{61}{100}$

d)

$5\frac{16}{100}$

29.

Write fraction as a decimal $1\frac{3}{5}$

a)

1.4

b)

1.6

c)

1.5

d)

1.7

30.

Simplify $-\frac{16}{88}$

a)

$\frac{4}{44}$

b)

$-\frac{2}{11}$

c)

$-\frac{4}{44}$

d)

$\frac{2}{11}$

31.

Write as decimal as a fraction in simplest form. $-0.101$

a)

$-\frac{101}{100}$

b)

$-\frac{101}{1000}$

c)

$\frac{101}{100}$

d)

$-\frac{1000}{101}$

32.

$Solve\ \frac{x+2}{3}=18$

a)

x = 52

b)

x = 54

c)

x = 56

d)

x = 58

33.

Solve. y - 18.7 = 25.9

a)

y = 43.6

b)

y = 45.6

c)

y = 44.6

d)

y = 46.6

34.

Solve. 5r + 15 = 0

a)

r = 3

b)

r = 2

c)

r = -2

d)

r = -3

35.

Which axis runs vertically?

a)

x

b)

Y

36.

Which axis runs horizontally?

a)

x

b)

y

37.

How do you write an ordered pair?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

38.

What is coordinate R?

a)

(2,5)

b)

(0,1)

c)

(2,3)

d)

(1,0)

39.

What is Coordinate N?

a)

(7,6)

b)

(5,5)

c)

(6,6)

d)

(7,7)

40.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

41.

In the ordered pair (7, 8), which number is the x-coordinate?

a)

7

b)

8

c)

neither

d)

both

42.

What letter is located at (8, 5)?

a)

A

b)

B

c)

C

d)

D

43.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

44.

What error did the student make when plotting the point (3, 4) according to the picture?

a)

The student moved left along the x-axis when he should have moved right

b)

The student plotted the y-coordinate in place of the x-coordinate

c)

The student didn't make a mistake

d)

Both Options 1 and 2

45.

Identify the quadrant that contains (-6,4)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

46.

Identify the quadrant that contains (6,4)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

47.

Identify the quadrant that contains (-6,-4)

a)

Quadrant IV

b)

Quadrant III

c)

Quadrant II

d)

Quadrant I

48.

Which situation relates to the graph?

a)

Savy climbs up the hill and then ran back down before it rained.

b)

Savy takes a big drink from a bottle of water, then set the bottle down to tie her shoe.

c)

Savy drives to the beach, stays all day then drives back home.

d)

Savy reads a book, eats her dinner then goes to bed.

49.

Which situation relates to the graph?

a)

Doris went to see Dinsey's Frozen II and had dinner at Dusty's.

b)

Doris walked to school and walked back home.

c)

Doris jogged for 2.5 miles then walked the rest of the way.

d)

Doris drives to the mall slows down to see car accident before arriving to Macy's.

50.

Which ordered pair is a solution of the equation y=4x+3

a)

(5, 8)

b)

(3, 15)

c)

(11, 2)

d)

(1, 16)

51.

For which equation is the ordered pair (2, 8) a solution?

a)

y=3x+3

b)

y=x-6

c)

y=3x+2

d)

y=2x-14

52.

Which equation represents the values on the table?

a)

y=2x+8

b)

y=2x+7

c)

y=3x+7

d)

y=2x-7

53.

List two points on the graph of y=-3x+2

a)

(-2, 10), (-1, 5)

b)

(-1, 5), (0, 2)

c)

(2, 0), (3, -7)

d)

(3, -6), (5, -8)

54.

Which of the following situation corresponds to this graph?

a)

An object is lifted slowly, then lowered slowly.

b)

A car accelerates from a stop, then gradually stops.

c)

An object starts falling, accelerates, and then falls slowly.

d)

An airplane climbs to 29,000 feet, then descends.

55.

The ________ of a relation is the set of y-values of the ordered pairs.

a)

function

b)

range

c)

origin

d)

domain

56.

The _________ of a relation is the set of x-values of the ordered pairs.

a)

function

b)

range

c)

origin

d)

domain

57.

A ___________ is a mathematical relation in which each input corresponds to exactly one output.

a)

range

b)

function

c)

origin

d)

domain

58.

√ 16

a)

8

b)

3

c)

4

d)

6

59.

What is the square root of 25?

a)

5

b)

12

c)

3

d)

6

60.

17² =

a)

34

b)

289

c)

225

d)

324

61.

11²=

a)

22

b)

44

c)

144

d)

121

62.

What is the Square Root of 289?

a)

17

b)

16

c)

15

d)

18

63.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

64.

All the following are Perfect Squares except for which one?

a)

81

b)

121

c)

361

d)

198

65.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

66.

Between which two whole numbers is the square root of 277?

a)

15 and 16

b)

16 and 17

c)

18 and 19

d)

14 and 15

67.

0

a)

Is a perfect square.

b)

Is not a perfect square.

68.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = √16

d)

√164 = 18

69.

x² * x² * x² * x²

a)

2 * 2 * 2 * 2

b)

x¹⁶

c)

x⁸

d)

2(x * x * x * x)

70.

(x⁶)³

a)

x⁹

b)

x²

c)

x⁶

d)

x¹⁸

71.

(4x³)²

a)

8x⁵

b)

8x⁶

c)

16x⁵

d)

16x⁶

72.

Simplify.
x⁴ * x⁸

a)

x²

b)

x⁴

c)

x¹²

d)

x³²

73.

(x⁵y³)⁴

a)

x⁹y⁷

b)

x⁹y¹²

c)

x²⁰y¹²

d)

x²⁰y⁷

74.

Simplify $\left(-4\right)^{-1}$

a)

-4

b)

$\frac{1}{4}$

c)

4

d)

$-\frac{1}{4}$

75.

$5^{-2}$ Simplify

a)

$-\frac{1}{25}$

b)

-25

c)

$\frac{1}{25}$

d)

25

76.

$Simplify\ \left(-10\right)^{-4}$

a)

$\frac{1}{10,000}$

b)

$\frac{1}{1000}$

c)

$\frac{1}{100}$

d)

$-10^4$

77.

$Simplify\ \left(-2\right)^{-6}$

a)

64

b)

$\frac{1}{64}$

c)

$-\frac{1}{12}$

d)

$\frac{1}{12}$

78.

$Simplify\ 8^0\ -\left(11-2^4\right)^{-2}$

a)

$\frac{20}{25}$

b)

$\frac{20}{24}$

c)

$\frac{25}{24}$

d)

$\frac{24}{25}$

79.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

80.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

81.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

82.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

83.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

84.

Solve:
(9 x 10^-6) / (3 x 10^-3)

a)

27 x 10^-9

b)

3 x 10^-3

c)

3 x 10^-9

d)

27 x 10^-3

85.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

86.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

87.

Write the answer in scientific notation.
4.1 x 10⁵ + 5.5 x 10⁶ =

a)

5.91 x 10⁶

b)

9.6 x 10⁵

c)

9.6 x 10¹¹

d)

4.65 x 10⁵

88.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

89.

(2.3 x 10²)+(4.1 x 10²)=

a)

6.4 x 10⁴

b)

6.4 x 10²

c)

6.4 x 10⁰

d)

.64 x 10¹

90.

$Simplify\ 8\ +\ 10^0\ \left(-6\right)$

a)

3

b)

2

c)

4

d)

6

91.

$Simplify\ 5^{-1\ }+3\left(5\right)^{-2}$

a)

$\frac{6}{25}$

b)

$\frac{9}{25}$

c)

$\frac{7}{25}$

d)

$\frac{8}{25}$

92.

What is the Square Root of 121?

a)

9

b)

10

c)

11

d)

12

93.

What is the Square Root of 289?

a)

17

b)

16

c)

15

d)

18

94.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

95.

Between which two whole numbers is the square root of 277?

a)

15 and 16

b)

16 and 17

c)

18 and 19

d)

14 and 15

96.

0

a)

Is a perfect square.

b)

Is not a perfect square.

97.

What is the square root of 4?

a)

9

b)

4

c)

2

d)

10

98.

A perfect square is which type of number?

a)

Rational

b)

Irrational

99.

A non-perfect square is which type of number?

a)

Rational

b)

Irrational

100.

A fraction is which type of number?

a)

Rational

b)

Irrational

101.

Find the length of the missing side: a=24, b=? & c=25

a)

6

b)

9

c)

8

d)

7

102.

Find the distance between the points. (-2,3) and (6,9)

a)

15

b)

20

c)

10

d)

12

103.

Find the distance between the points. (5,-2) and (-4,10)

a)

15

b)

20

c)

10

d)

12

104.

Find the length of the missing side: a=6, b=8 & c=?

a)

7

b)

8

c)

9

d)

10

105.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

106.

Solve for x

a)

x = 15

b)

x = 11

c)

x = 1/11

d)

x = 20

107.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

108.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

a)

15 pizzas

b)

252 sticks

c)

18 sticks

d)

18 pizzas

109.

A 16 oz. box of crackers costs $3.99 and a 38 oz. box of crackers costs $6.99. What is the better buy?

a)

16 oz box; because it cost less for the smaller box.

b)

38 oz box; because it cost less for the bigger box.

c)

38 oz box; because it cost more for the bigger box.

d)

16 oz box; because it cost more for the smaller box.

110.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

111.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

112.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

113.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

114.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

115.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

116.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

117.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

118.

The pair of figures is similar. Find the missing side.

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

119.

Find missing side

a)

5

b)

7

c)

9

d)

11

120.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree? Hint: the figures are similar triangles.

a)

8 feet

b)

72 feet

c)

36 feet

d)

144 feet

Math 8 Midterm

Total questions: 120

Worksheet time: 3hrs 31mins

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