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1.

Write the fraction representing the coloured parts/pictures. A collection shows six identical toys, with 3 coloured and 3 uncoloured.

a)

$\dfrac{1}{3}$

b)

$\dfrac{1}{2}$

c)

$\dfrac{2}{3}$

d)

$\dfrac{5}{6}$

2.

Write the fraction representing the coloured parts/pictures. A circle is divided into 8 equal sectors, with 7 sectors coloured and 1 sector uncoloured.

a)

$\dfrac{6}{8}$

b)

$\dfrac{7}{8}$

c)

$\dfrac{1}{8}$

d)

$\dfrac{5}{8}$

3.

Write the fraction representing the coloured parts/pictures. A set of 8 flowers is shown, with 5 flowers coloured and 3 uncoloured.

a)

$\dfrac{3}{8}$

b)

$\dfrac{4}{8}$

c)

$\dfrac{5}{8}$

d)

$\dfrac{6}{8}$

4.

Share the parts of the figures corresponding to the fractions given. To represent $\dfrac{1}{2}$ on a figure divided into 2 equal parts, how many parts should be shaded?

a)

1 part

b)

2 parts

c)

3 parts

d)

0 parts

5.

Share the parts of the figures corresponding to the fractions given. To represent $\dfrac{3}{4}$ on a figure divided into 4 equal parts, how many parts should be shaded?

a)

1 part

b)

2 parts

c)

3 parts

d)

4 parts

6.

Share the parts of the figures corresponding to the fractions given. To represent $\dfrac{7}{12}$ on a circle divided into 12 equal slices, how many slices should be shaded?

a)

5 slices

b)

6 slices

c)

7 slices

d)

12 slices

7.

Complete the table given. For the fraction $\dfrac{7}{8}$ , choose the correct numerator and denominator.

a)

Numerator 7, Denominator 8

b)

Numerator 8, Denominator 7

c)

Numerator 1, Denominator 15

d)

Numerator 7, Denominator 4

8.

Complete the table given. For the fraction $\dfrac{2}{9}$ , choose the correct numerator and denominator.

a)

Numerator 2, Denominator 9

b)

Numerator 9, Denominator 2

c)

Numerator 1, Denominator 9

d)

Numerator 2, Denominator 8

9.

Complete the table given. With numerator 3 and denominator 5, which fraction completes the table?

a)

$\dfrac{3}{5}$

b)

$\dfrac{5}{3}$

c)

$\dfrac{3}{10}$

d)

$\dfrac{5}{8}$

10.

On Zulfi’s birthday, his father gives him a bar of chocolate. Zulfi divides the chocolate into two equal parts and shares one of the parts with his sister. What part of the whole chocolate does Zulfi’s sister get?

a)

$\tfrac{1}{2}$

b)

$\tfrac{1}{4}$

c)

$\tfrac{2}{3}$

d)

$\tfrac{3}{4}$

11.

Can you write a fraction with zero in the denominator? Give reasons for your answer.

a)

No, a denominator cannot be zero because division by zero is undefined.

b)

Yes, if the numerator is also zero, the fraction is valid.

c)

Yes, when the fraction represents nothing, zero in the denominator is allowed.

d)

It depends on the situation; sometimes zero in the denominator is acceptable.

12.

Represent $3/5$ on a number line: Between 0 and 1, the unit distance is divided into five equal parts. Which mark from 0 shows the position of $3/5$ ?

a)

the first mark from 0

b)

the second mark from 0

c)

the third mark from 0

d)

the fourth mark from 0

13.

Represent $4/7$ on a number line: Between 0 and 1, the unit distance is divided into seven equal parts. Which mark from 0 shows the position of $4/7$ ?

a)

the first mark from 0

b)

the second mark from 0

c)

the fourth mark from 0

d)

the seventh mark from 0

14.

Represent $5/8$ on a number line: Between 0 and 1, the unit distance is divided into eight equal parts. Which mark from 0 shows the position of $5/8$ ?

a)

the second mark from 0

b)

the third mark from 0

c)

the fifth mark from 0

d)

the eighth mark from 0

15.

Zulfi’s friend gives him a chocolate bar with 28 equal parts. Zulfi gives 5 parts to his father, 8 parts to his mother, and 6 parts to his sister. Which fraction represents the share given to his father?

a)

$\frac{5}{28}$

b)

$\frac{8}{28}$

c)

$\frac{6}{28}$

d)

$\frac{9}{28}$

16.

Zulfi’s friend gives him a chocolate bar with 28 equal parts. Zulfi gives 5 parts to his father, 8 parts to his mother, and 6 parts to his sister. Which fraction represents the share given to his mother?

a)

$\frac{5}{28}$

b)

$\frac{6}{28}$

c)

$\frac{8}{28}$

d)

$\frac{7}{28}$

17.

Zulfi’s friend gives him a chocolate bar with 28 equal parts. Zulfi gives 5 parts to his father, 8 parts to his mother, and 6 parts to his sister. Which fraction represents the share given to his sister?

a)

$\frac{6}{28}$

b)

$\frac{8}{28}$

c)

$\frac{5}{28}$

d)

$\frac{4}{28}$

18.

Which type of fraction is defined as having values less than 1?

a)

Proper fractions

b)

Improper fractions

c)

Unit fractions

d)

Unlike fractions

19.

Which type of fraction is defined as having values greater than 1?

a)

Proper fractions

b)

Unit fractions

c)

Improper fractions

d)

Like fractions

20.

Which type of fraction is defined as having 1 as the numerator?

a)

Unit fractions

b)

Proper fractions

c)

Like fractions

d)

Unlike fractions

21.

Which description matches like fractions according to the table?

a)

Fractions that have the same denominators

b)

Fractions that have different denominators

c)

Fractions whose values are less than 1

d)

Fractions that have 1 as numerator

22.

Which description matches unlike fractions according to the table?

a)

Fractions that have different denominators

b)

Fractions whose values are greater than 1

c)

Fractions that have the same denominators

d)

Fractions that have 1 as numerator

23.

Which of the following is shown in the examples as an improper fraction?

a)

$\frac{13}{11}$

b)

$\frac{5}{28}$

c)

$\frac{1}{8}$

d)

$\frac{6}{28}$

24.

Which option is a unit fraction according to the examples?

a)

$\frac{1}{6}$

b)

$\frac{13}{11}$

c)

$\frac{8}{28}$

d)

$\frac{5}{9}$

25.

Which pair illustrates unlike fractions in the examples?

a)

$\frac{2}{3}$ and $\frac{5}{9}$

b)

$\frac{5}{28}$ and $\frac{8}{28}$

c)

$\frac{1}{2}$ and $\frac{1}{8}$

d)

$\frac{6}{28}$ and $\frac{5}{28}$

26.

In any division statement, what is the denominator called?

a)

Divisor

b)

Dividend

c)

Quotient

d)

Remainder

27.

Which equation correctly relates the parts of a division statement shown in the note?

a)

Dividend = Quotient × Divisor + Remainder

b)

Dividend = Divisor × Remainder + Quotient

c)

Dividend = Quotient ÷ Divisor + Remainder

d)

Dividend = Divisor × Quotient − Remainder

28.

Convert $15/12$ into its mixed fractional form.

a)

$1 \frac{1}{4}$

b)

$1 \frac{2}{12}$

c)

$1 \frac{5}{12}$

d)

$1 \frac{1}{3}$

29.

Convert $7 \frac{5}{6}$ into its improper form.

a)

$47/6$

b)

$42/6$

c)

$7/6$

d)

$41/6$

30.

Any mixed number written as a fraction will be improper. Explain why.

a)

Because converting the whole-number part into the fraction makes the numerator greater than or equal to the denominator, so the value is more than 1.

b)

Because the denominator becomes 1 for any mixed number.

c)

Because mixed numbers always simplify to proper fractions.

d)

Because only unit fractions can be proper fractions.

31.

The shaded part below is one-fourth of a rectangle. Based on the diagram, what fraction of the rectangle is shaded?

a)

$1/4$

b)

$1/2$

c)

$1/3$

d)

$1/5$

32.

Identify the fraction indicated by the letter A on the number line. The line shows 0, 1, 2, and 3, and point A is marked at the tick labeled 1.

a)

$\frac{1}{2}$

b)

$1$

c)

$\frac{3}{2}$

d)

$2$

33.

Classify the fraction $\frac{2}{3}$ as proper, improper, or mixed.

a)

Proper

b)

Improper

c)

Mixed

34.

Classify the fraction $\frac{8}{5}$ as proper, improper, or mixed.

a)

Proper

b)

Improper

c)

Mixed

35.

Classify the fraction $3\ \frac{2}{3}$ as proper, improper, or mixed.

a)

Proper

b)

Improper

c)

Mixed

36.

Classify the fraction $\frac{1}{2}$ as proper, improper, or mixed.

a)

Proper

b)

Improper

c)

Mixed

37.

Classify the fraction $\frac{13}{10}$ as proper, improper, or mixed.

a)

Proper

b)

Improper

c)

Mixed

38.

Classify the pair of fractions $\frac{2}{7}$ and $\frac{4}{7}$ as like or unlike fractions.

a)

Like fractions

b)

Unlike fractions

39.

Classify the pair of fractions $\frac{3}{8}$ and $\frac{2}{9}$ as like or unlike fractions.

a)

Like fractions

b)

Unlike fractions

40.

Classify the pair of fractions $\frac{8}{5}$ and $\frac{3}{8}$ as like or unlike fractions.

a)

Like fractions

b)

Unlike fractions

41.

Classify the pair of fractions $3\ \frac{2}{9}$ and $\frac{4}{9}$ as like or unlike fractions.

a)

Like fractions

b)

Unlike fractions

42.

Convert the improper fraction $\frac{3}{2}$ to a mixed fraction.

a)

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

b)

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

c)

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

d)

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

43.

Convert the mixed fraction $4\ \frac{1}{5}$ to an improper fraction.

a)

$\frac{20}{5}$

b)

$\frac{21}{5}$

c)

$\frac{19}{5}$

d)

$\frac{9}{5}$

44.

Convert the improper fraction $\frac{7}{3}$ to a mixed fraction.

a)

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

b)

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

c)

$1\ \frac{1}{3}$

d)

$3\ \frac{1}{3}$

45.

Convert the mixed fraction $5\ \frac{2}{9}$ to an improper fraction.

a)

$\frac{47}{9}$

b)

$\frac{45}{9}$

c)

$\frac{52}{9}$

d)

$\frac{46}{9}$

46.

Convert the improper fraction $\frac{8}{5}$ to a mixed fraction.

a)

$1\ \frac{3}{5}$

b)

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

c)

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

d)

$1\ \frac{4}{5}$

47.

Convert the improper fraction $\frac{10}{7}$ to a mixed fraction.

a)

$1\ \frac{3}{7}$

b)

$1\ \frac{5}{7}$

c)

$2\ \frac{3}{7}$

d)

$2\ \frac{6}{7}$

48.

Shade the parts of the circle to denote the fraction indicated by the red mark on the number line from 0 to 1. The number line is divided into eight equal parts, and the red mark is at the halfway point. Which fraction should be shaded in the circle divided into eight equal slices?

a)

$\frac{3}{8}$

b)

$\frac{4}{8}$

c)

$\frac{5}{8}$

d)

$\frac{1}{8}$

49.

Write the fraction represented by the shaded region in the rectangular grid shown, then identify the type of fraction it represents. The grid is made of equal small rectangles with some shaded less than one whole.

a)

Proper fraction

b)

Improper fraction

c)

Mixed fraction

50.

Write the fraction represented by the shaded sectors in the circle shown, then identify the type of fraction it represents. The circle is partitioned into equal sectors with fewer than all sectors shaded.

a)

Proper fraction

b)

Improper fraction

c)

Mixed fraction

51.

Convert the mixed fraction represented by the figure of two whole rectangles and part of a third rectangle into an improper fraction. The third rectangle is divided into ten equal strips, with six strips shaded.

a)

$\frac{21}{10}$

b)

$\frac{26}{10}$

c)

$\frac{16}{10}$

d)

$\frac{24}{10}$

52.

The distances covered by two athletes are shown on number lines from 0 to 1. On runner A’s line, the point X is at the third tick to the right of 0 when the interval 0–1 is divided into four equal parts. On runner B’s line, the point Y is at the third tick to the right of 0 when the interval 0–1 is divided into five equal parts. Choose the correct statement about the fractions denoted and who covers more distance.

a)

X represents $\frac{3}{4}$ and Y represents $\frac{3}{5}$ ; runner A covers more distance.

b)

X represents $\frac{1}{4}$ and Y represents $\frac{4}{5}$ ; runner B covers more distance.

c)

X represents $\frac{2}{3}$ and Y represents $\frac{3}{4}$ ; runner B covers more distance.

d)

X represents $\frac{3}{5}$ and Y represents $\frac{3}{4}$ ; runner B covers more distance.

53.

A pizza is cut into 12 slices. Rahul eats 4 slices and Mohan eats 6 slices. Which pair correctly shows the fractions of the whole pizza eaten by Rahul and by Mohan?

a)

Rahul $\frac{4}{12}$ , Mohan $\frac{6}{12}$

b)

Rahul $\frac{6}{12}$ , Mohan $\frac{4}{12}$

c)

Rahul $\frac{4}{6}$ , Mohan $\frac{6}{4}$

d)

Rahul $\frac{1}{12}$ , Mohan $\frac{6}{12}$

54.

A painter uses 2 complete buckets and $\frac{2}{5}$ of a third bucket of paint. What is the equivalent improper fraction for the total amount of paint used?

a)

$\frac{12}{5}$

b)

$\frac{7}{5}$

c)

$\frac{5}{2}$

d)

$\frac{9}{5}$

55.

Reena has 12 pieces of chocolate. Each chocolate bar has 5 pieces. Represent the number of chocolate bars Reena has as both an improper fraction and a mixed fraction.

a)

Improper $\frac{12}{5}$ ; Mixed 2 $\frac{2}{5}$

b)

Improper $\frac{5}{12}$ ; Mixed 2 $\frac{5}{2}$

c)

Improper $\frac{7}{5}$ ; Mixed 1 $\frac{2}{5}$

d)

Improper $\frac{10}{5}$ ; Mixed 2 $\frac{0}{5}$

56.

Zulfi cuts a birthday cake into 5 equal pieces. He gives one piece each to his sister and his mother and keeps one piece for himself. What fraction of the cake is Zulfi’s own share?

a)

$\frac{1}{5}$

b)

$\frac{2}{5}$

c)

$\frac{3}{5}$

d)

$\frac{4}{5}$

57.

Fractions having the same value are known as what?

a)

Equivalent fractions

b)

Proper fractions

c)

Mixed numbers

d)

Unlike fractions

58.

Which fractions are equivalent to $1/3$ ? Select all that apply.

a)

$2/6$

b)

$3/9$

c)

$4/12$

d)

$5/15$

59.

Which fractions are equivalent to $1/4$ ? Select all that apply.

a)

$6/24$

b)

$3/12$

c)

$2/8$

d)

$1/4$

60.

To find an equivalent fraction of a given fraction, what should you do?

a)

Multiply or divide both the numerator and the denominator by the same number

b)

Add the same number to both the numerator and the denominator

c)

Subtract different numbers from the numerator and the denominator

d)

Change only the numerator and keep the denominator the same

61.

Considering $1/5 = 2/10 = 3/15$ , which statement is true?

a)

They have the same value even though their numerators and denominators are different

b)

They have different values because the denominators are different

c)

Only the first two fractions are equal in value

d)

None of the fractions are equal in value

62.

Based on the diagram of Zulfi’s sister’s share, into how many equal parts does she cut the piece before having it?

a)

Two

b)

Three

c)

Four

d)

Five

63.

Based on the diagram of Zulfi’s mother’s share, into how many equal parts does she cut the piece before having it?

a)

Three

b)

Two

c)

Four

d)

Five

64.

Reduce the fraction $14/42$ into its simplest form.

a)

$1/3$

b)

$2/3$

c)

$7/21$

d)

$14/42$

65.

Reduce the fraction $36/81$ into its simplest form.

a)

$4/9$

b)

$12/27$

c)

$3/9$

d)

$36/81$

66.

Reduce the fraction $30/48$ into its simplest form.

a)

$5/8$

b)

$15/24$

c)

$10/16$

d)

$30/48$

67.

Reduce the fraction $16/36$ into its simplest form.

a)

$4/9$

b)

$8/18$

c)

$2/9$

d)

$16/36$

68.

Is a fraction equivalent to itself?

a)

Yes

b)

No

69.

In the figure, the shaded region represents $3/4$ . Select all fractions that are equivalent to $3/4$ .

a)

$6/8$

b)

$9/12$

c)

$12/16$

d)

$2/3$

e)

$15/20$

70.

Write three equivalent fractions for 5/7 by choosing the option that lists three correct equivalents.

a)

10/14, 15/21, 20/28

b)

5/14, 15/22, 25/35

c)

6/7, 10/21, 15/28

d)

12/21, 18/28, 20/35

71.

Write three equivalent fractions for 3/8 by choosing the option that lists three correct equivalents.

a)

6/12, 9/16, 12/20

b)

6/16, 9/24, 12/32

c)

3/16, 6/24, 9/40

d)

4/8, 7/16, 10/24

72.

Write three equivalent fractions for 4/9 by choosing the option that lists three correct equivalents.

a)

8/18, 12/27, 16/36

b)

6/9, 12/18, 18/27

c)

4/18, 8/27, 12/45

d)

9/4, 13/27, 20/45

73.

Write three equivalent fractions for 5/12 by choosing the option that lists three correct equivalents.

a)

10/24, 15/36, 20/48

b)

6/12, 12/24, 18/30

c)

5/10, 10/20, 15/25

d)

9/24, 12/36, 16/48

74.

Write three equivalent fractions for 7/11 by choosing the option that lists three correct equivalents.

a)

14/22, 21/33, 28/44

b)

7/22, 14/33, 21/44

c)

11/7, 18/22, 27/33

d)

13/22, 19/33, 25/44

75.

Write three equivalent fractions for 6/13 by choosing the option that lists three correct equivalents.

a)

12/26, 18/39, 24/52

b)

6/26, 12/39, 18/65

c)

13/6, 20/39, 26/52

d)

10/13, 16/26, 22/39

76.

Choose an equivalent fraction for 9/12.

a)

3/4

b)

9/10

c)

6/12

d)

12/9

77.

Choose an equivalent fraction for 4/8.

a)

1/2

b)

2/8

c)

5/8

d)

3/8

78.

Choose an equivalent fraction for 3/15.

a)

1/5

b)

3/10

c)

5/15

d)

2/5

79.

Choose an equivalent fraction for 10/18.

a)

5/9

b)

10/9

c)

8/18

d)

9/18

80.

Choose an equivalent fraction for 15/25.

a)

3/5

b)

5/3

c)

15/20

d)

12/25

81.

Choose an equivalent fraction for 21/28.

a)

3/4

b)

7/9

c)

21/24

d)

4/3

82.

Find the missing denominator so that 2/9 = 14/□.

a)

63

b)

54

c)

49

d)

45

83.

Find the missing numerator so that 7/12 = □/36.

a)

21

b)

18

c)

28

d)

14

84.

Find the missing denominator so that 5/9 = 25/□.

a)

45

b)

40

c)

35

d)

50

85.

Find the missing numerator so that □/3 = 8/12.

a)

2

b)

3

c)

4

d)

8

86.

Find the missing denominator so that 5/□ = 20/24.

a)

6

b)

5

c)

4

d)

8

87.

Find the missing numerator so that □/8 = 28/32.

a)

7

b)

6

c)

8

d)

9

88.

Which fraction is equivalent to 3/8 and has 18 as the numerator?

a)

18/48

b)

18/42

c)

18/50

d)

18/40

89.

Fill the blanks with the smallest numbers so that (3 + __)/(2 + __) is equivalent to 25/40. Choose the correct ordered pair.

a)

(2, 6)

b)

(1, 3)

c)

(4, 5)

d)

(7, 10)

90.

Tarun has 14 marbles and gives 6 of them to Ankush. After a few days, Tarun buys 13 more marbles. He now wants to give away a fraction of the marbles that he currently owns such that this fraction is equivalent to the fraction he gave away earlier. How many marbles should Tarun give to Ankush?

a)

9

b)

8

c)

7

d)

6

91.

In a game of 18 rounds, Anitha wins 12 rounds. In another game of 24 rounds, she wins 16 rounds. Are the fractions representing her victories in the two games equivalent?

a)

Yes; both simplify to 2/3

b)

No; 12/18 simplifies to 3/5

c)

Yes; both are exactly 12/18

d)

No; one fraction is greater than the other

92.

A cook uses $2/5$ cups of oil to make a dish and $6/15$ cups of oil to make another dish. Are the quantities of oil used in both the dishes equal?

a)

Yes, because $6/15$ simplifies to $2/5$ .

b)

Yes, because both numerators are even.

c)

No, because the denominators are different.

d)

No, because $6/15$ is greater than $2/5$ .

93.

Consider the fractions $1/2$ , $3/4$ , $1/4$ , and $1/5$ . Choose the option that shows these fractions in ascending order.

a)

$1/5 < 1/4 < 1/2 < 3/4$

b)

$1/5 < 1/4 < 3/4 < 1/2$

c)

$1/4 < 1/5 < 1/2 < 3/4$

d)

$3/4 < 1/2 < 1/4 < 1/5$

94.

Find the LCM of the denominators of $1/2$ , $3/4$ , $1/4$ , and $1/5$ .

a)

$10$

b)

$15$

c)

$20$

d)

$40$

95.

Which equivalent fraction of $1/2$ has a denominator of $20$ ?

a)

$5/20$

b)

$10/20$

c)

$15/20$

d)

$4/20$

96.

Which equivalent fraction of $3/4$ has a denominator of $20$ ?

a)

$12/20$

b)

$15/20$

c)

$5/20$

d)

$10/20$

97.

While comparing fractions that have the same numerators but different denominators, which statement is true?

a)

Fractions with larger denominators are larger.

b)

Writing the denominators in ascending order gives the descending order of the fractions.

c)

Writing the denominators in ascending order gives the ascending order of the fractions.

d)

Fractions with smaller denominators are smaller.

98.

Can you compare mixed fractions after converting them into improper fractions?

a)

Yes

b)

No

99.

If ?/7 is greater than $1/2$ but less than $1$ , which values for the missing numerator make the statement true?

a)

3

b)

4

c)

5

d)

6

100.

Find the greater of the two fractions in the pair: $\frac{4}{5}$ and $\frac{1}{5}$ .

a)

$\frac{4}{5}$

b)

$\frac{1}{5}$

101.

Find the greater of the two fractions in the pair: $\frac{3}{7}$ and $\frac{5}{7}$ .

a)

$\frac{3}{7}$

b)

$\frac{5}{7}$

102.

Find the greater of the two fractions in the pair: $\frac{4}{9}$ and $\frac{2}{9}$ .

a)

$\frac{4}{9}$

b)

$\frac{2}{9}$

103.

Find the greater of the two fractions in the pair: $\frac{2}{3}$ and $\frac{3}{5}$ .

a)

$\frac{2}{3}$

b)

$\frac{3}{5}$

104.

Find the greater of the two fractions in the pair: $\frac{3}{4}$ and $\frac{4}{7}$ .

a)

$\frac{3}{4}$

b)

$\frac{4}{7}$

105.

Find the greater of the two fractions in the pair: $\frac{3}{8}$ and $\frac{7}{8}$ .

a)

$\frac{3}{8}$

b)

$\frac{7}{8}$

106.

Compare the fractions using the correct symbol. Choose one: ">", "<", or "=". $\frac{5}{6} \;\_\_\_\_\_\; \frac{3}{4}$

a)

>

b)

<

c)

=

107.

Compare the fractions using the correct symbol. Choose one: ">", "<", or "=". $\frac{5}{12} \;\_\_\_\_\_\; \frac{7}{12}$

a)

>

b)

<

c)

=

108.

Compare the fractions using the correct symbol. Choose one: ">", "<", or "=". $\frac{1}{3} \;\_\_\_\_\_\; \frac{4}{5}$

a)

>

b)

<

c)

=

109.

Compare the fractions using the correct symbol. Choose one: ">", "<", or "=". $\frac{2}{7} \;\_\_\_\_\_\; \frac{5}{5}$

a)

>

b)

<

c)

=

110.

Compare the fractions using the correct symbol. Choose one: ">", "<", or "=". $\frac{8}{9} \;\_\_\_\_\_\; \frac{8}{9}$

a)

>

b)

<

c)

=

111.

Compare the fractions using the correct symbol. Choose one: ">", "<", or "=". $\frac{5}{11} \;\_\_\_\_\_\; \frac{3}{7}$

a)

>

b)

<

c)

=

112.

Arrange these fractions in ascending order. $\frac{3}{7},\; \frac{1}{7},\; \frac{5}{7},\; \frac{2}{7},\; \frac{6}{7},\; \frac{4}{7}$

a)

$\frac{1}{7},\; \frac{2}{7},\; \frac{3}{7},\; \frac{4}{7},\; \frac{5}{7},\; \frac{6}{7}$

b)

$\frac{6}{7},\; \frac{5}{7},\; \frac{4}{7},\; \frac{3}{7},\; \frac{2}{7},\; \frac{1}{7}$

c)

$\frac{1}{7},\; \frac{3}{7},\; \frac{2}{7},\; \frac{4}{7},\; \frac{5}{7},\; \frac{6}{7}$

113.

Arrange these fractions in ascending order. $\frac{1}{4},\; \frac{3}{8},\; \frac{1}{2},\; \frac{5}{8},\; \frac{3}{4}$

a)

$\frac{1}{4},\; \frac{3}{8},\; \frac{1}{2},\; \frac{5}{8},\; \frac{3}{4}$

b)

$\frac{1}{4},\; \frac{1}{2},\; \frac{3}{8},\; \frac{5}{8},\; \frac{3}{4}$

c)

$\frac{3}{8},\; \frac{1}{4},\; \frac{1}{2},\; \frac{5}{8},\; \frac{3}{4}$

114.

Fill in the blank so that the condition is satisfied. $\frac{7}{8} < \frac{2 + \square}{7}$

a)

$3$

b)

$4$

c)

$5$

d)

$6$

115.

There are two identical carts, A and B. Cart A has $\frac{5}{6}$ parts loaded with cartons and cart B has $\frac{6}{9}$ parts of it loaded with cartons. Which cart is heavier, assuming all cartons have equal weight?

a)

Cart A

b)

Cart B

c)

Both are equally loaded

d)

It cannot be determined

116.

Tarun scores 7 out of 10 points in a game. Meena scores 8 out of 12 points in another game. Whose score is greater?

a)

Tarun

b)

Meena

c)

Both scores are equal

d)

Not comparable

117.

Sheetal has a red and a blue decorative ribbon. The length of the red ribbon is $2\ \frac{4}{5}$ m and that of the blue ribbon is $3\ \frac{1}{6}$ m. Which ribbon is longer?

a)

Red ribbon

b)

Blue ribbon

c)

Both are the same length

d)

Cannot be determined

118.

Pooja reads $\frac{1}{9}$ of a book on Wednesday, $\frac{2}{3}$ of the book on Thursday and $\frac{2}{9}$ of the book on Friday. Arrange the days in ascending order of the number of pages read by Pooja on each day.

a)

Wednesday, Friday, Thursday

b)

Friday, Wednesday, Thursday

c)

Thursday, Friday, Wednesday

d)

Thursday, Wednesday, Friday

119.

Using addition of like fractions, find the sum of $\frac{7}{20}$ and $\frac{8}{20}$ .

a)

$\frac{3}{4}$

b)

$\frac{1}{2}$

c)

$\frac{7}{10}$

d)

$\frac{2}{5}$

120.

Using subtraction of like fractions, evaluate $\frac{8}{20} - \frac{7}{20}$ .

a)

$\frac{1}{20}$

b)

$\frac{1}{10}$

c)

$\frac{3}{20}$

d)

$\frac{7}{20}$

121.

Addition of two unlike fractions: compute $\frac{2}{3} + \frac{3}{4}$ .

a)

$\frac{17}{12}$

b)

$\frac{11}{12}$

c)

$\frac{5}{7}$

d)

$\frac{1}{2}$

122.

Using the steps for adding unlike fractions, find the sum of $\frac{2}{3}$ and $\frac{3}{4}$ expressed as a mixed fraction.

a)

1 5/12

b)

1 7/12

c)

2 5/12

d)

17/12

123.

Consider the subtraction statement $\frac{1}{2} - \frac{1}{8}$ . Using the method for subtracting unlike fractions, what is the result in simplest form?

a)

3/8

b)

1/8

c)

5/8

d)

7/8

124.

How can we add a whole number to a fraction?

a)

Convert the whole number to an equivalent fraction with the same denominator as the given fraction, then add the numerators and keep the denominator.

b)

Add the whole number only to the denominator of the fraction.

c)

Add the whole number only to the numerator of the fraction.

d)

Convert the fraction to a decimal, add the numbers, and ignore any remainder.

125.

Suppose you spend $\frac{2}{5}$ of your pocket money on video games, $\frac{1}{3}$ of it on food and save the rest. What fraction of the money are you saving?

a)

$\frac{4}{15}$

b)

$\frac{2}{15}$

c)

$\frac{7}{15}$

d)

$\frac{5}{12}$

126.

Suppose you spend $\frac{2}{5}$ of your pocket money on video games and $\frac{1}{3}$ on food. If you wanted to save $\frac{1}{2}$ of your pocket money, what would you cut down on and by what fraction of the total? Select all that would work.

a)

Reduce video games spending by $\frac{7}{30}$ of the total

b)

Reduce food spending by $\frac{7}{30}$ of the total

c)

Reduce both video games and food by $\frac{7}{30}$ each

d)

Reduce both video games and food equally by $\frac{7}{60}$ each

127.

Add the pairs of fractions: $\frac{6}{15}$ and $\frac{2}{15}$ .

a)

$\frac{7}{15}$

b)

$\frac{8}{15}$

c)

$\frac{9}{15}$

d)

$\frac{2}{15}$

128.

Add the pairs of fractions: $\frac{2}{8}$ and $\frac{5}{8}$ .

a)

$\frac{5}{8}$

b)

$\frac{7}{8}$

c)

$\frac{3}{4}$

d)

$\frac{1}{8}$

129.

Add the pairs of fractions: $\frac{6}{15}$ and $\frac{2}{5}$ .

a)

$\frac{2}{3}$

b)

$\frac{4}{5}$

c)

$\frac{12}{15}$

d)

$\frac{8}{15}$

130.

Add the pairs of fractions: $\frac{6}{7}$ and $\frac{7}{14}$ .

a)

$1\ \frac{1}{14}$

b)

$1\ \frac{5}{14}$

c)

$1\ \frac{3}{14}$

d)

$1\ \frac{9}{14}$

131.

Add the mixed numbers: $2\ \frac{3}{10}$ and $1\ \frac{2}{5}$ .

a)

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

b)

$3\ \frac{7}{10}$

c)

$4\ \frac{1}{10}$

d)

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

132.

Add the mixed numbers: $1\ \frac{1}{9}$ and $2\ \frac{5}{6}$ .

a)

$3\ \frac{8}{9}$

b)

$3\ \frac{15}{18}$

c)

$3\ \frac{17}{18}$

d)

$4\ \frac{1}{18}$

133.

Subtract the second fraction from the first: $\frac{8}{11}$ minus $\frac{6}{11}$ .

a)

$\frac{1}{11}$

b)

$\frac{2}{11}$

c)

$\frac{4}{11}$

d)

$\frac{6}{11}$

134.

Subtract the second fraction from the first: $\frac{9}{16}$ minus $\frac{5}{16}$ .

a)

$\frac{1}{4}$

b)

$\frac{9}{16}$

c)

$\frac{5}{16}$

d)

$\frac{3}{16}$

135.

Subtract the second fraction from the first: $\frac{4}{5}$ minus $\frac{2}{3}$ .

a)

$\frac{2}{15}$

b)

$\frac{2}{5}$

c)

$\frac{1}{3}$

d)

$\frac{8}{15}$

136.

Subtract the second fraction from the first: $\frac{3}{4}$ minus $\frac{3}{8}$ .

a)

$\frac{3}{16}$

b)

$\frac{3}{8}$

c)

$\frac{1}{8}$

d)

$\frac{6}{8}$

137.

Subtract the second mixed number from the first: $4\ \frac{1}{2}$ minus $3\ \frac{1}{3}$ .

a)

$1\ \frac{1}{3}$

b)

$1\ \frac{1}{6}$

c)

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

d)

$1\ \frac{5}{6}$

138.

Subtract the second mixed number from the first: $3\ \frac{1}{5}$ minus $1\ \frac{1}{4}$ .

a)

$1\ \frac{3}{20}$

b)

$1\ \frac{9}{20}$

c)

$1\ \frac{19}{20}$

d)

$2\ \frac{1}{20}$

139.

Find the value of $x + \frac{1}{x}$ when $x=2$ .

a)

$\frac{3}{2}$

b)

$\frac{5}{2}$

c)

$\frac{7}{2}$

d)

$2$

140.

Find the value of $x + \frac{1}{x}$ when $x=3$ .

a)

$\frac{8}{3}$

b)

$\frac{9}{3}$

c)

$\frac{10}{3}$

d)

$\frac{11}{3}$

141.

Find the value of $x + \frac{1}{x}$ when $x=4$ .

a)

$\frac{16}{4}$

b)

$\frac{17}{4}$

c)

$\frac{18}{4}$

d)

$\frac{19}{4}$

142.

Find the value of $x + \frac{1}{x}$ when $x=5$ .

a)

$\frac{24}{5}$

b)

$\frac{25}{5}$

c)

$\frac{26}{5}$

d)

$\frac{27}{5}$

143.

Find the sum of the fractions shown by the shaded regions in the two figures: the first circle is divided into two equal parts with one half shaded; the second circle is divided into three equal parts with one part shaded.

a)

$\frac{2}{3}$

b)

$\frac{5}{6}$

c)

$\frac{3}{4}$

d)

$1$

144.

Find the difference between the fractions shown by the shaded regions in the two figures: the first circle is divided into five equal parts with three parts shaded; the second circle is divided into two equal parts with one half shaded. Subtract the second from the first.

a)

$\frac{1}{10}$

b)

$\frac{1}{5}$

c)

$\frac{2}{5}$

d)

$\frac{3}{10}$

145.

Fill in the blank to make the statement true: $\frac{2}{3} + \frac{1}{6} + \_\_\_ = \frac{23}{24}$ .

a)

$\frac{1}{12}$

b)

$\frac{1}{8}$

c)

$\frac{1}{6}$

d)

$\frac{3}{8}$

146.

Find the value of the expression: $\frac{6}{21} + \frac{18}{56} + \frac{4}{3}$ .

a)

$\frac{79}{84}$

b)

$1\ \frac{79}{84}$

c)

$1\ \frac{5}{12}$

d)

$2\ \frac{1}{12}$

147.

Ananya studied for $\frac{3}{2}$ hours on Friday, $2\ \frac{1}{2}$ hours on Saturday, and $\frac{2}{3}$ hours on Sunday. What was the total amount of time she spent studying over the three days?

a)

$3\ \frac{2}{3}$ hours

b)

$4\ \frac{2}{3}$ hours

c)

$5\ \frac{1}{3}$ hours

d)

$5\ \frac{2}{3}$ hours

148.

A bag contains $4\ \frac{9}{16}$ kg of flour. If $3$ kg of flour is taken out, what is the weight of the remaining flour?

a)

$1\ \frac{1}{4}$ kg

b)

$1\ \frac{9}{16}$ kg

c)

$2\ \frac{1}{16}$ kg

d)

$2\ \frac{9}{16}$ kg

149.

Three ropes of lengths $1\ \frac{1}{3}$ m, $2\ \frac{3}{4}$ m, and $3\ \frac{4}{5}$ m are joined to make a single rope. What is the total length of the new rope?

a)

$6\ \frac{53}{60}$ m

b)

$7\ \frac{7}{12}$ m

c)

$7\ \frac{53}{60}$ m

d)

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

Page 1

Total questions: 149

Worksheet time: 1hrs 15mins

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