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1.

Write the improper fraction as a mixed number

¹²/₄

a)

3 ³/₄

b)

3 ¹/₄

c)

3

d)

4

2.

Write the mixed number as an improper fraction

5 ⁶/₇

(a)

3.

Write the mixed number as an improper fraction

3 ⁴/₉

(a)

4.

Reduce the following fraction:
16/20 =

a)

8/10

b)

4/5

c)

1/2

d)

16/20

5.

Which symbol is correct for these two fractions?

a)

>

b)

<

c)

=

6.

Brianna filled an bathtub with 6/8 gallon of water. Soon she realized that there was only 4/8 gallon of water. How much water leaked out of the tub?

a)

3/8

b)

2/8

c)

10/8

d)

10/12

7.

a)

1

b)

3

c)

9

d)

8

8.

Compare 3/4 and 1/2

a)

3/4 > 1/2

b)

3/4 < 1/2

c)

3/4 = 1/2

9.

Select the symbol to compare these fractions
2/5______4/5

a)

<

b)

>

c)

=

d)

?

10.

$\frac{2}{3}\times\frac{1}{7}=$

a)

$\frac{3}{10}$

b)

$\frac{2}{21}$

c)

$\frac{14}{3}$

d)

$\frac{3}{14}$

11.

$3\times\frac{6}{5}=$

a)

$\frac{9}{5}$

b)

$\frac{6}{15}$

c)

$\frac{18}{15}$

d)

$\frac{18}{5}$

12.

$2\times\frac{4}{5}\times\frac{3}{8}=$

a)

$\frac{24}{80}$

b)

$\frac{24}{13}$

c)

$\frac{48}{40}$

d)

$\frac{3}{5}$

13.

$\frac{9}{2}\times\frac{8}{75}=$

en fraction irréductible.

(a)

14.

$\frac{6}{5}\div\frac{12}{15}=$

a)

$\frac{24}{25}$

b)

$\frac{9}{10}$

c)

$\frac{3}{2}$

d)

$\frac{2}{3}$

15.

Add the fractions:
1/3 + 1/5 =

a)

8/15

b)

2/5

c)

1/2

d)

1/3

16.

What is the product of these fractions in lowest terms?

a)

20/50

b)

4/5

c)

2/5

d)

4/10

17.

a)

-4/3

b)

13/18

c)

4/3

d)

2/9

18.

Complete the equivalent fraction.

a)

6

b)

9

c)

15

d)

23

19.

Multiply. Be sure to simplify your answer when possible.

a)

12 5/6

b)

77/6

c)

6/77

d)

12 6/5

20.

a)

3 2/7

b)

4 ⁴/₇

c)

⁵⁷/₉

d)

5 ¹/₂

21.

$2\ \frac{2}{3}\div8$

a)

$2$

b)

$\frac{3}{64}$

c)

$32$

d)

$\frac{1}{3}$

22.

Evaluate to its lowest term $\frac{6}{16}+\frac{9}{16}$

a)

$\frac{13}{16}$

b)

$\frac{15}{32}$

c)

$\frac{15}{16}$

d)

1

23.

Evaluate to its lowest terms $\frac{7}{8}-\frac{1}{2}$

a)

$\frac{3}{8}$

b)

$\frac{8}{10}$

c)

$\frac{4}{5}$

d)

$\frac{1}{2}$

24.

Evaluate to its lowest term $5\times\frac{1}{8}$

a)

$\frac{1}{40}$

b)

$5\ \frac{1}{8}$

c)

$6\ \frac{3}{8}$

d)

$\frac{5}{8}$

25.

Evaluate to its lowest terms $\frac{9}{4}\div\frac{1}{6}$

a)

$\frac{8}{2}$

b)

$\frac{27}{2}$

c)

$\frac{9}{2}$

d)

$\frac{9}{24}$

e)

$\frac{3}{8}$

26.

Evaluate to its lowest terms $5\div\frac{1}{3}$

a)

$15$

b)

$\frac{5}{3}$

c)

$1\ \frac{2}{5}$

d)

$\frac{1}{15}$

27.

Evaluate to its lowest terms $\frac{3}{7}\div2$

a)

$\frac{3}{14}$

b)

$\frac{14}{3}$

c)

$\frac{6}{7}$

d)

$\frac{7}{6}$

28.

5 divided by 2/7

a)

17

b)

35/2

c)

5

d)

2

29.

14 divided by 1/2

a)

7

b)

2

c)

12

d)

28

30.

11 divided by 1/3

a)

22

b)

11

c)

33

d)

3

31.

$\frac{1}{2}+\frac{1}{3}$

(a)

32.

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

(a)

33.

$2\ \frac{7}{9}\ +\ 1\ \frac{1}{3}=$

(a)

34.

In preparation for a picnic, Sarah made a salad with $\frac{1}{4}$ of a bag of iceberg lettuce and $\frac{5}{8}$ of a bag of romaine lettuce. How many bags of lettuce did Sarah use in all?

(a)

35.

Peggy made cookies. She used $\frac{3}{4}$ of a cup of flour and $\frac{5}{12}$ of a cup of sugar. How much more flour than sugar did Paula use? Make sure to simplify your answer.

(a)

36.

Colton and Hayley made a stir-fry for dinner. They used $\frac{1}{6}$ of a pound of bell peppers, $\frac{1}{3}$ of a pound of mushrooms, and $\frac{1}{9}$ of a pound of snow peas. How many pounds of vegetables did they use in the stir-fry?

(a)

37.

Leslie and Greg own neighboring cornfields. Leslie harvested $\frac{5}{9}$ acre of corn on Monday and Greg harvested $\frac{5}{12}$ of an acre. How many more acres did Leslie harvest than Greg?

(a)

38.

In Brooke's history class, $\frac{1}{8}$ of the students are making videos for their final project and $\frac{3}{4}$ are making dioramas. What fraction of the students are making either a video or diorama?

(a)

39.

On Sunday, Mark drank $\frac{2}{3}$ of a bottle of soda. Kraig drank $\frac{3}{7}$ of a bottle of soda. How much more did Mark drink than Kraig?

(a)

40.

At the farmers' market, Jasmine bought $2\ \frac{9}{10}$ of a pound of string beans and $\frac{3}{5}$ of a pound of lima beans. How many more pounds of string beans did Jasmine purchase?

(a)

41.

James needs $7\frac{1}{5}$ feet of yarn to complete a project. He has two small pieces measuring $1\frac{1}{3}$ feet and $2\frac{4}{5}$ feet. James needs to purchase how many more feet to complete his project?

(a)

42.

Express $\frac{6}{10}$ as a decimal

(a)

43.

Express $2\frac{5}{10}$ as a decimal.

(a)

44.

Express 0.13 as a fraction in its simplest form.

(a)

45.

What is 0.63 as a fraction?

a)

$\frac{63}{10}$

b)

$\frac{63}{100}$

c)

$\frac{63}{1,000}$

d)

$\frac{0}{63}$

46.

Convert $\frac{3}{5}$ to a decimal.

a)

0.6

b)

1.5

c)

0.3

d)

15.0

47.

Convert $\frac{2}{3}$ to a decimal.

a)

0.6 (repeating)

b)

0.5

c)

0.3 (repeating)

d)

0.2

48.

$\frac{3}{5}+\left(-\frac{2}{3}\right)$

a)

$-\frac{1}{15}$

b)

$\frac{14}{15}$

c)

$-\frac{6}{15}$

d)

$\frac{2}{3}$

49.

-3 - 6 = ?

a)

-9

b)

-3

c)

3

d)

9

50.

10 - (-4) = ?

a)

14

b)

-14

c)

6

d)

-6

51.

-12 - 9 = ?

a)

21

b)

-21

c)

3

d)

-3

52.

8 - (-9) = ?

a)

17

b)

-17

c)

-1

d)

1

53.

8 + (-10) = ?

a)

-2

b)

2

c)

18

d)

-18

54.

6 - (-10) = ?

a)

16

b)

-16

c)

4

d)

-4

55.

15 + (-10) = ?

a)

5

b)

-25

c)

-5

d)

25

56.

16 + (-5) = ?

a)

21

b)

-11

c)

-21

d)

11

57.

16 - (-5) = ?

a)

21

b)

11

c)

-21

d)

-11

58.

3+\left(-4\right)=

a)

1

b)

-1

c)

7

d)

-7

59.

-8+10\ =

a)

2

b)

--2

c)

18

d)

-18

60.

3-\left(-4\right)=

a)

1

b)

-1

c)

7

d)

-7

61.

(-3)(+9)

a)

-27

b)

+27

c)

+6

d)

-12

62.

(12)(-2)

a)

-24

b)

-10

c)

10

d)

24

63.

(-15)(-3)

a)

-18

b)

18

c)

-45

d)

45

64.

The price of jeans was reduced to PHP 6 per week for 7 weeks. By how much did the price of the jeans change over the 7 weeks?

a)

42

b)

-42

c)

20

d)

-20

65.

If I have two negatives what will the product be?

a)

Negative

b)

Positive

66.

Is the product of -5(-2) positive or negative?

a)

positive

b)

negative

67.

(-4) x (-3)

a)

7

b)

-7

c)

12

d)

-12

68.

(-1) x 3

(a)

69.

(-5) x 7

a)

30

b)

-30

c)

-35

d)

35

70.

9 / (-3)

a)

3

b)

-3

c)

6

d)

-6

71.

(-25) x 4

a)

- 80

b)

100

c)

-100

d)

200

72.

30 / 2

a)

13

b)

15

c)

- 7

d)

17

73.

(- 36) / 3

(a)

74.

(-14) /(-2)

a)

12

b)

-12

c)

7

d)

-7

75.

34 x (-2)

(a)

76.

Find the quotient:

$64\ \div\ 8=$

a)

8

b)

-8

c)

-80

d)

80

77.

Find the quotient:

$\left(95\right)\div\left(-5\right)=$

a)

-475

b)

475

c)

-19

d)

19

78.

Find the quotient:

$\left(-161\right)\div\left(-7\right)=$

a)

-23

b)

-32

c)

23

d)

32

79.

Find the quotient:

$\frac{135}{-15}\ =$

a)

-9

b)

9

c)

-15

d)

15

80.

$35÷(-7)=$

(a)

81.

$(-64)÷(2)=$

(a)

82.

$(-81)÷(-3)=$

(a)

83.

$24÷12=$

(a)

84.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

85.

Find the HCF of 12 and 15 ?

a)

2

b)

2 x 3

c)

3

d)

60

86.

Find the HCF of 40 and 60?

a)

10

b)

20

c)

30

d)

None of the above

87.

What is the LCM of 6 and 8 ?

a)

12

b)

18

c)

24

d)

36

88.

Find the HCF of 30 and 36

a)

2

b)

3

c)

4

d)

6

89.

Which answer lists all the factors for 40?

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

90.

What is the LCM of 4 and 12?

a)

4

b)

8

c)

12

d)

16

91.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

92.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

93.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

94.

HCF and LCM of 20 and 14 are...

a)

2 dan 140

b)

2 dan 70

c)

3 dan 140

d)

3 dan 70

95.

Prime factorization of 240 are . . . .

a)

2³ x 3 x 5

b)

2⁴ x 3 x 5

c)

2⁵ x 3 x 5

d)

2⁶ x 3 x 5

96.

Find the HCF of 25 and 35

a)

10

b)

5

c)

7

d)

1

97.

Which shows the prime factorization of 84?

a)

$2\times2\times3\times7$

b)

$2\times2\times3\times3\times7$

c)

$4\times21$

d)

$7\times21$

98.

The Lowest Common Multiple (LCM) of 24 and 60 is:

a)

90

b)

120

c)

30

d)

10

99.

The students in a classroom can be divided into five equal groups or six equal groups. Find the smallest possible number of students in the classroom.

(a)

100.

Is 6410 divisible by 10 and 5?

(a)

101.

LCM OF 2,3 and 5

a)

30

b)

60

c)

15

d)

10

102.

HCF of 14 and 28

(a)

103.

LCM and HCF of 13 and 21 are _________ and _____ respectively

a)

1 and 273

b)

273 and 1

c)

13 and 273

d)

273 and 13

104.

Find the highest common factor of 36 and 84.

a)

5

b)

6

c)

4

d)

12

105.

Four bells ring at intervals of 6, 7, 8 and 9 seconds respectively. After how many seconds do all the bells ring together?

a)

504

b)

508

c)

512

d)

516

106.

Mary has 24 pastries and wants to share pastries with her 20 friends. The greatest number of pastries any friend can get

a)

2

b)

4

c)

5

d)

6

107.

Maya 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

108.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

109.

Using a Factor Tree, find the prime factorization of 75.

a)

3 x 5²

b)

3 x 5 x 5

c)

3² x 5

d)

5 x 15

110.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

natural numbers

111.

Which of the following is a square number?

a)

10

b)

24

c)

49

d)

56

112.

_________________ or counting numbers start at 1 and continue to infinity. Example: 1, 2, 3, 4, .....

a)

whole numbers

b)

prime numbers

c)

natural numbers

d)

odd numbers

113.

___________________ numbers can be divided by more than two numbers.

a)

prime

b)

whole

c)

integers

d)

composite

114.

_________________ are directed numbers. The set of integers contains negative numbers and all whole numbers.

a)

whole numbers

b)

integers

c)

odd

d)

square numbers

115.

____________________ numbers are divisible by 2.

a)

odd

b)

prime

c)

composite

d)

even

116.

Zero is an even number

a)

true

b)

false

117.

A _______________ number has only two factors, itself and 1.

a)

composite

b)

prime

c)

cube

d)

odd

118.

______________ numbers are natural numbers that are not even.

a)

prime

b)

triangular

c)

odd

d)

rational

119.

A _____________ number is the number we get when we multiply a number by itself.

a)

cube

b)

prime

c)

square

d)

cube

120.

A ________________ number is the number we get when we multiply a number by itself three times.

a)

cube

b)

even

c)

prime

d)

square

121.

The __________________- numbers are made up of 0 and the set of counting numbers.

a)

natural

b)

whole

c)

prime

d)

composite

122.

Which of the following is NOT divisible by 4?

a)

1,000

b)

5,740

c)

1,566

d)

2,024

123.

Is 2,385 divisible by 10?

a)

Yes

b)

No

124.

Is 36,928 divisible by 4?

a)

Yes

b)

No

125.

Is 60,714 divisible by 3?

a)

Yes

b)

No

126.

True or False, 65,736 is divisible by 3.

a)

True

b)

False

127.

What is the divisibility rule of 9?

a)

The sum of the digits is a number divisible by 3

b)

The sum of the digits is a number divisible by 9

c)

The last two digits form a number divisible by 3

d)

The last digit is 9.

128.

What is the rule for divisibility by 3?

a)

The number must end in 3, 6, or 9.

b)

The sum of the digits must equal 3.

c)

The sum of the digits must be divisible by 3.

d)

There must be at least one 3 in the number.

129.

What is the divisibility rule for 5?

a)

The sum of the digits is divisible by 5.

b)

The last digit is a 5.

c)

The last digit is 5 or zero.

d)

The last digit is zero

130.

What is the divisibility rule for 4?

a)

The last two digits form a number divisible by 4

b)

The last digit is a number divisible by 4

c)

The last digit is even

d)

The last digit is zero

131.

Is 1,943,806 divisible by 2? give the reason.

a)

Yes

the last digit is an even.

b)

No

the last digit is not even.

132.

What is the prime factorization of 990 written in exponential form?

a)

3*11*2*5

b)

$3^2\ \times11\times5$

c)

$3^2\times2\times5\times11$

d)

11 *5

133.

Write the following in Exponential Form

4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

1,024

134.

Write the following in Exponential Form

2 x 2 x 2 x 2

a)

2⁴

b)

4²

c)

16

135.

Which is equivalent to 5 x 5 x 5 x 5 ?

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

136.

Change to standard form: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

137.

Change to standard form: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

138.

125,678,000: Change to Standard form.

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

139.

Change the number back to ordinary number: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

140.

Change the number an ordinary number: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

141.

Convert this number into scientific notation: 0.068

a)

6.9 x 10⁶

b)

6.8 x 10^-9

c)

6.8 x 10^-2

d)

None of the above

142.

Convert this number to standard notation: 7.1 x 10⁴

(a)

143.

Convert this number to standard form: 1.4 x 10^-2

(a)

144.

Convert this number into Standard form: 950,000

a)

9.5 x 10⁵

b)

9.5 x 10^-9

c)

9.5 x 10²

d)

None of the above

Revision

Total questions: 144

Worksheet time: 5hrs 8mins

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