Free Printable Final. Math Foundations

1.

What is the value of the digit 5?

$12.45$

a)

5 ones

b)

5 tenths

c)

5 hundredths

d)

5 hundreds

2.

What is the place value of 9 in 12.09?

a)

tens

b)

hundredths

c)

ones

d)

tenths

3.

What option shows ninety-eight thousandths?

a)

9.8

b)

.98

c)

.098

d)

.0098

4.

What options are the same as sixty-two hundredths

a)

$\frac{62}{100}$

b)

.062

c)

.62

d)

$\frac{62}{1000}$

5.

How would you write 9.73 in word form?

a)

nine seven three hundreds

b)

ninety seven and three tens

c)

nine and seventy-three hundredths

d)

nine seventy-three

6.

Simplify 3/9

a)

1/3

b)

2/3

c)

1/9

d)

3/9

7.

Reduce or simplify.
5/10

a)

1/10

b)

1/2

c)

2/5

d)

1/5

8.

Simplify 18/36 to lowest terms.

a)

2

b)

3/6

c)

9/18

d)

1/2

9.

Put in simplest form
8/12

a)

1/3

b)

3/4

c)

2/3

d)

1/2

10.

Reduce: 6/15

a)

2/5

b)

3/5

c)

4/9

11.

What fraction is red?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

12.

Which picture shows 3/4?

a)

green

b)

blue

c)

purple

d)

pink

13.

What is this shaded fraction

a)

2/5

b)

3/5

c)

2/3

d)

5/3

14.

What fraction is represented with an 'x' on the number line?

a)

1/8

b)

2/9

c)

1/9

d)

1/4

15.

What fraction is represented at point A?

a)

4/5

b)

3/1

c)

3/4

d)

1/3

16.

The number on the top of a fraction is called what?

a)

numerator

b)

denominator

c)

fractionator

d)

equivalent

17.

The number on the bottom of a fraction is called what?

a)

numerator

b)

denominator

c)

equivalent

d)

improper

18.

Which is NOT an equivalent fraction to one half?

a)

2/4

b)

2/3

c)

4/8

d)

3/6

19.

Which fraction is equivalent to 1?

a)

1/2

b)

1/10

c)

5/5

d)

5/1

20.

a)

1

b)

3

c)

9

d)

8

21.

Which of the following is an equivalent fraction to 5/6?

a)

9/12

b)

10/12

c)

8/12

d)

14/18

22.

a)

4

b)

12

23.

Are the fractions equivalent?

\frac{4}{5}\ \ and\ \frac{20}{25}

a)

Yes, they are equivalent.

b)

No, they are not equivalent.

24.

What is an equivalent fraction to $\frac{4}{6}$ ?

a)

$\frac{16}{36}$

b)

$\frac{8}{12}$

c)

$\frac{10}{10}$

d)

$\frac{4}{6}$

25.

Which of these show equivalent fractions?

a)

A

b)

B

c)

C

26.

3/5 is equivalent to ___________

a)

6/10

b)

12/15

c)

1/2

d)

9/10

27.

$\frac{8}{9}$ - $\frac{1}{3}$ =

a)

$\frac{7}{6}$

b)

$\frac{5}{9}$

c)

$\frac{2}{3}$

d)

$\frac{8}{27}$

28.

What must you have to add and subtract fractions?

a)

Common numerators

b)

Different numerators

c)

Different denominators

d)

Common denominators

29.

Add these fractions: $\frac{2}{6}$ + $\frac{3}{6}$

a)

$\frac{4}{6}$

b)

$\frac{3}{6}$

c)

$\frac{5}{6}$

d)

$\frac{6}{6}$

30.

What number could be a common denominator for these two fractions?
1/5 and 5/6?

a)

30

b)

11

c)

6

d)

5

31.

$\frac{3}{5}$ + $\frac{1}{4}$ =

a)

$\frac{4}{20}$

b)

$\frac{12}{20}$

c)

$\frac{7}{20}$

d)

$\frac{17}{20}$

32.

Add these fractions: $\frac{1}{2}$ + $\frac{1}{3}$ =

a)

$\frac{5}{6}$

b)

$\frac{4}{6}$

c)

$\frac{1}{5}$

d)

$\frac{3}{5}$

33.

Millie drove $5\ \frac{2}{3}$ miles to a friend’s house and then drove $11\ \frac{5}{6}$ miles to the park. How many miles did she drive?

a)

$16\ \frac{7}{9}$ miles

b)

$16\ \frac{9}{12}$ miles

c)

$17\ \frac{1}{6}$ miles

d)

$17\ \frac{1}{2}$ miles

34.

Mr. Miller cut $3\ \frac{1}{2}$ inches of wood off of a board that was originally $7\ \frac{3}{4}$ inches long. How long was the board after he made the cut?

a)

4 inches

b)

$4\ \frac{1}{6}$ inches

c)

$4\ \frac{1}{4}$ inches

d)

$4\ \frac{1}{2}$ inches

35.

$6\ \frac{1}{5}$ - $1\ \frac{1}{2}$ =

a)

$4\ \frac{5}{10}$

b)

$5\ \frac{7}{10}$

c)

$4\ \frac{7}{10}$

d)

$5\ \frac{3}{10}$

36.

What is the least common denominator for $\frac{1}{3}$ and $\frac{3}{4}$ ?

a)

6

b)

4

c)

3

d)

12

37.

You must be under 4 feet tall to ride this ride.

a)

t > 4

b)

t < 4

c)

t > 4

d)

t < 4

38.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

39.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

40.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

41.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

42.

Which inequality can be represented by the graph?

a)

x < 5

b)

x > 5

c)

x ≤ 5

d)

x ≥ 5

43.

The expanded notation of a number is shown.

(3 x 10,000) + (6 x 1)+ (2 x 10)+(8 x 100)

What is this number written in standard form?

a)

36,280

b)

38,260

c)

3,826

d)

30,826

44.

How do you write twenty-one thousand, six hundred fifty-six in standard form?

a)

21,566

b)

2,656

c)

21,656

d)

210, 656

45.

What is the missing number in the expanded form of 56,201?
50,000 + ____ + 200 + 1

a)

6

b)

600

c)

6,000

d)

60

46.

Which is another way to write 1,150?

a)

1,000 + 100 + 50

b)

100 + 100 + 50

c)

1,000 + 10 + 50

47.

4 + (-5) =

a)

9

b)

-9

c)

1

d)

-1

48.

-15 + 8

a)

-7

b)

-6

c)

-5

d)

-8

49.

-7 + - 3 =

a)

10

b)

-4

c)

4

d)

-10

50.

10 - (-7) =

a)

3

b)

7

c)

17

d)

-17

51.

When adding decimals with the same sign you.....

a)

subtract and take the sign of the larger number

b)

add the opposite

c)

add and keep the sign

d)

subtract and keep the sign

52.

When adding decimals with different signs you....

a)

subtract and take the sign of the larger number

b)

add the opposite

c)

add and keep the sign

d)

subtract and keep the sign

53.

Rewrite the problem as addition.

-5.66 - (-4.1)

a)

5.66 + (-4.1)

b)

-5.66 + 4.1

c)

-5.66 + (-4.1)

d)

-5.66 - 4.1

54.

8 - (-5)

a)

1

b)

-15

c)

13

d)

15

55.

-18 - (-2)

a)

20

b)

-16

c)

-20

d)

16

56.

-13 - (-5)

a)

18

b)

-18

c)

8

d)

-8

57.

$-5\frac{5}{6}\ -\ -2\frac{3}{5}$

a)

$3\frac{7}{30}$

b)

$-3\frac{7}{30}$

c)

$8\frac{13}{30}$

d)

$-8\frac{13}{30}$

58.

$-3\frac{1}{3}\ +\ -3\frac{5}{16}$

a)

$-6\frac{15}{24}$

b)

$\frac{1}{48}$

c)

$-6\frac{31}{48}$

d)

$\frac{1}{24}$

59.

$-8\frac{3}{4}\ +\ 1\frac{3}{10}$

a)

$-7\frac{9}{20}$

b)

$10\frac{1}{20}$

c)

$-7\frac{1}{2}$

d)

$9\frac{9}{20}$

60.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

61.

Sara had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?

a)

4

b)

2

c)

48

d)

8

62.

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

a)

14 days

b)

24 days

c)

34 days

d)

44 days

63.

What is the greatest common factor of 10 and 25?

a)

5

b)

1

c)

10

d)

^₁

64.

Which is a factor of 15?

a)

2

b)

3

c)

4

d)

6

65.

What is the greatest common Factor between 28 and 35?

a)

1

b)

14

c)

7

d)

5

66.

What is the greatest common Factor between 30 and 45?

a)

1

b)

15

c)

3

d)

5

67.

What is the LCM of 3 and 4?

a)

3

b)

4

c)

12

d)

7

68.

What is the LCM of 5 and 10

a)

5

b)

10

c)

50

d)

100

69.

Write 13.2% as a decimal.

a)

0.132

b)

1.32

c)

13.2

d)

132

70.

Write 48% as a fraction in simplest form.

a)

12/25

b)

48/100

c)

24/50

d)

4/8

71.

Write 3/5 as a percent.

a)

3%

b)

30%

c)

5%

d)

60%

72.

Write 0.17 as a percent.

a)

1.7%

b)

17%

c)

.0017%

d)

170%

73.

There is a 1 in 8 chance of the Cowboys winning a football game. Which value is equivalent?

a)

18%

b)

1.25

c)

0.125

74.

Carlos walked to school on 14 of the 20 school days in February. Which value is equivalent?

a)

70%

b)

0.07

c)

56%

75.

A video game is discounted at 40% off its regular price. Which value is equivalent to 40%

a)

1/25

b)

0.004

c)

2/5

76.

Which of these is an example of a rational number?

a)

√4

b)

√5

c)

√3

d)

√2

77.

Which of these is an example of an irrational number?

a)

√2

b)

√1

c)

√9

d)

√25

78.

Select the irrational numbers

a)

$\sqrt{50}$

b)

2

c)

$\pi$

d)

2.3454128904...

79.

A rational number can be written as a fraction.

a)

true

b)

false

80.

Which lists all the factors of 15?

a)

1, 7, 8, 15

b)

1, 15

c)

1, 3, 5, 15

d)

3, 5, 15

81.

Which set lists all the factors of 24?

a)

1, 2, 3, 6, 7, 12, 24

b)

1, 2, 3, 4, 6, 8, 12, 24

c)

1, 2, 3, 4, 5, 6, 8, 12, 24

d)

1, 3, 4, 6, 8, 24

82.

Use a number tree to find the prime factorization of 60

a)

5x3x2x2

b)

7x6x5

c)

5x3x3x2

d)

7x5x4

83.

Use a number tree to find the prime factorization of 42

a)

4x4x3

b)

6x7

c)

7x3x2

d)

5x4x2

84.

Is 5, a prime or composite number?

a)

Prime

b)

Composite

85.

Is 12, a prime or composite number?

a)

Prime

b)

Composite

86.

1/2 x 3/7

a)

3/14

b)

4/9

c)

7/6

d)

1 1/6

87.

5/12 x 6/11

a)

30/132

b)

11/23

c)

55/72

d)

20/20

88.

Divide these fractions

a)

24/9

b)

9/24

c)

27/2

d)

13 1/2

89.

Divide these fractions

a)

1.5 / 2

b)

3 / 4

c)

12 / 16

d)

6 / 32

90.

Multiply these fractions

a)

10 / 15

b)

15 / 10

c)

2 / 3

d)

50 / 3

91.

Multiply.

a)

18 4/14

b)

23

c)

18 2/7

d)

322/14

92.

Mixed numbers need to be changed into improper fractions in order to multiply or divide.

a)

True

b)

False

c)

what's an improper fraction?

93.

Convert the mixed number into an improper fraction.

a)

26/7

b)

44/7

c)

15/7

d)

84/7

94.

Find the quotient.

a)

4 3/4

b)

1 3/4

c)

6 11/16

d)

2 11/12

95.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

96.

Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.

a)

7:5

b)

5:7

c)

3:5

d)

5:3

97.

There are 10 black marbles and 4 blue marbles. What is the ratio of all the marbles to blue marbles?

a)

2:3

b)

7:2

c)

2:5

d)

10:4

98.

a)

8

b)

9

c)

72

d)

12

99.

a)

9

b)

12

c)

18

d)

1

100.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

101.

Solve: $\frac{10}{x}=\frac{6}{8}$

(a)

102.

Solve: $\frac{8}{x}=\frac{4}{8}$

(a)

103.

Solve: $\frac{6}{x}=\frac{8}{2}$

(a)

104.

56¹= ?

a)

56

b)

0

c)

1

d)

65

105.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

106.

7⁰ = ?

a)

1

b)

7

c)

0

d)

-7

107.

Which is equivalent to 3^{4 ?}

a)

27

b)

9

c)

81

d)

12

108.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

109.

Which is equivalent to 4 x 4 x 4 x 4 x 4

a)

4⁶

b)

5⁴

c)

4⁴

d)

4⁵

110.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

111.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

112.

10³

a)

10

b)

100

c)

1000

d)

30

113.

$\sqrt{45}$ =

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

114.

$\sqrt{50}$

a)

$5\sqrt{2}$

b)

$\sqrt{5}$

c)

$2\sqrt{5}$

d)

$25\sqrt{2}$

115.

√ 49 =

a)

6

b)

7

c)

8

d)

9

116.

8 + 2 ⋅ 7

a)

22

b)

70

c)

20

d)

42

117.

8 ÷ 8 + 6 × 2

a)

8

b)

13

c)

14

d)

23

118.

Solve This Expression -
( 7 x 3 ) + 9

a)

29

b)

30

c)

31

d)

32

119.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

120.

(7 x 5) + (6 x 4)

a)

48

b)

69

c)

59

d)

72

121.

Three squared is:

a)

3 x 3 = 9

b)

3 x 2 = 6

c)

3 + 3 = 6

d)

3 + 2 = 5

122.

2 + (9²- 4)

a)

16

b)

77

c)

79

123.

10+x=20

a)

x=10

b)

x=5

c)

x=12

d)

x=15

124.

2r=8

a)

r=2

b)

r=4

c)

r=5

d)

r=10

125.

Bob ran 6 miles yesterday. He wants to run double the amount today. How much will Bob run today?

a)

18 miles

b)

12 miles

c)

24 miles

d)

30 miles

126.

Frank made 20 cookies. He gave 5 of them to his mom. How many cookies does Frank have left?

a)

5 cookies

b)

20 cookies

c)

15 cookies

d)

0 cookies

127.

Charlotte made 40 cookies. She wants to give an equal amount to 4 of her friends. How many cookies should she give each friend?

a)

4 cookies

b)

5 cookies

c)

8 cookies

d)

10 cookies

128.

What dose a= in the=is equation 6a+5a=−11

a)

a=-1

b)

a=8

c)

a=-7

d)

a=6

129.

what is the answer to this question 30=−5(6n+6)

a)

5

b)

-2

c)

-8

d)

2

130.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

131.

$\frac{x}{5}\ -\ 13\ =\ 20$

a)

145

b)

165

c)

180

d)

190

132.

6p - 5 =13

a)

12

b)

15

c)

3

d)

-3

133.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

134.

9x -7 = -7

a)

4

b)

0

c)

5

135.

What is the area of the rectangle?

a)

42 square cm

b)

40 square cm

c)

40 cm

d)

42 cm

136.

How do you find the area of a rectangle?

a)

Length + Length + Length + Length

b)

Length + Width

c)

Length x Width

d)

Width x Width

137.

How do you find the perimeter of a rectangle?

a)

Add the side lengths together

b)

Length x Width

c)

Width x Width

d)

Length + Length

138.

Greyson and Preston have a piece of paper that is 10 inches by 9 inches. What is the area of the paper?

a)

100 sq. in.

b)

79 sq. in.

c)

90 sq. in.

d)

90 in.

139.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

140.

How many units would be the perimeter of the triangle? Type the value in the box.

(a)

141.

True or False: The perimeter of a triangle is 1/2 base times the height.

a)

True

b)

False

142.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

143.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

144.

what is the formula for finding area of a circle

a)

C = π r²

b)

A = π r²

c)

A = π r²/ 2

d)

C = 2 π r

145.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

146.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

147.

Find the circumference of the circle

a)

87.82in

b)

153.86in

c)

43.96in

d)

307.72in

Final. Math Foundations

Total questions: 147

Worksheet time: 5hrs 52mins

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