Free Printable Problems on Fractions, ratios and Percents

1.

Find the ratio of 600g to 5kg

a)

25:3

b)

3:25

c)

6/500

d)

500/6

2.

Write 2/5 as percent

a)

10%

b)

20%

c)

30%

d)

40%

3.

Find 25% of 150?

a)

27

b)

27.5

c)

37

d)

37.5

4.

In a class of 45 students 40% are girls. Find the number of boys.

a)

15

b)

17

c)

27

d)

30

5.

Find the ratio of 20 days to 48 hours

a)

1:5

b)

1:10

c)

10:1

d)

5:10

6.

In a city, 35% of population are males and 25% are females and remaining are children what is the percentage of children in the city?

a)

10%

b)

20%

c)

30%

d)

40%

7.

Convert the given percent to decimal fractions and also to fractions in simplest form: 40%

a)

0.1

b)

0.4

c)

4.0

d)

None of these

8.

If 50% of students are good at science out of 20 students. Then the number of students good at science is

a)

10

b)

15

c)

5

d)

11

9.

The ratio of speed of cycle 12 km per hour to the speed of scooter 36 km per hour is

a)

1:2

b)

1:3

c)

1:4

d)

None of the above

10.

A person got a 10% increase in his salary. If his salary was Rs. 50000, then the new salary is:

a)

Rs. 55000

b)

Rs. 60000

c)

Rs. 45000

d)

Rs. 65000

11.

$Which\ is\ equal\ to\ 1\frac{1}{3}?$

a)

$\frac{2}{3}$

b)

$\frac{6}{3}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

12.

$Which\ answer\ is\ equal\ to\ 2\frac{1}{2}?$

a)

$\frac{5}{2}$

b)

$\frac{2}{5}$

c)

$\frac{2}{2}$

d)

$\frac{10}{2}$

13.

A ratio is

a)

another way of multiplying

b)

a comparison of two quantities using division.

c)

is a two dimensional figure.

d)

is the same as the associative property.

14.

A rate is a

a)

different way of solving probability.

b)

ratio of unknowns.

c)

ratio of two quantities with the same unit.

d)

ratio of two quantities with different units.

15.

A unit rate is

a)

a rate with the numerator of one.

b)

a rate with the denominator of one.

16.

What is the reciprocal of 6?

a)

6

b)

12/6

c)

1/6

d)

.6

17.

What is a complex fraction?

a)

A really hard fraction to figure out

b)

A fraction with a fraction in the numerator, denominator, or both

c)

A fraction multiplied by a decimal

d)

A fraction with an exponent

18.

Simplify the complex fraction shown.

a)

9/40

b)

40/9

c)

10/36

d)

5/18

19.

Simplify the complex fraction.

a)

18

b)

1/18

c)

9/72

d)

1/8

20.

Simplify the complex fraction.

a)

32/135

b)

7/61

c)

427

d)

1/427

21.

¹/₄ ÷ ²/₅

a)

⁵/₈

b)

2/20

c)

¹/₁₀

d)

³/₉

22.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

23.

Find the quotient.

a)

1 1/4

b)

1

c)

1 1/5

d)

1 2/7

24.

Solve.

a)

8 / 9

b)

1/5

c)

1

d)

4/5

25.

Solve.

a)

2

b)

4

c)

1

d)

1/8

26.

$Solve:\ \ \ \ \ \frac{8}{9}\div\frac{1}{3}\ =\$

a)

$\frac{24}{9}$

b)

$\frac{9}{27}$

c)

$\frac{9}{24}$

d)

$\frac{3}{4}$

27.

$Solve:\ \ \ \frac{4}{5}\div2\ =\$

a)

$\frac{8}{5}$

b)

$\frac{10}{4}$

c)

$\frac{4}{10}$

d)

$\frac{8}{10}$

28.

$Solve:\ \ \ 1\frac{1}{3}\div\frac{1}{6}$

a)

$\frac{24}{3}$

b)

$\frac{3}{24}$

c)

$\frac{1}{18}$

d)

$\frac{6}{3}$

29.

In a class of 30 students,
2/3 are girls.
How many girls are there in the class?

a)

10

b)

20

c)

24

d)

30

30.

Belle collected 42 books.
3/7 of the books were bought from the Scholastic.
How many books were bought from the Scholastic?

a)

6

b)

12

c)

18

d)

24

31.

Sheila ordered 24 roses for her mom and sister.
She will give 3/6 to her mom and 1/2 to her sister.
How many flowers Sheila has to give to her sister?

a)

6

b)

10

c)

15

d)

12

32.

Vicky baked 64 cupcakes.
5/8 of those are chocolate cupcakes and the rest were red velvet.
How many red velvet cupcakes did Vicky make?

a)

24

b)

32

c)

40

d)

48

33.

What fraction of this shape is NOT shaded?

a)

8/8

b)

5/8

c)

3/8

34.

Kiki has 7 bows. Three of her bows are dotted. What fraction of Kiki’s bows are dotted?

a)

3/7

b)

4/7

c)

7/3

35.

What fraction of the pizza has been eaten?

a)

1/5

b)

5/1

c)

5/5

d)

0/5

36.

What is the simplest form of the following fraction?
4/10

a)

2/10

b)

1/4

c)

2/5

d)

8/10

37.

Three-quarters of 12 apples are green. How many apples are green?

a)

12

b)

9

c)

6

d)

3

38.

In a 7th grade class with 80 people, seven-tenths of the students wore shorts on a nice day in May. How many students wore shorts?

a)

7/10

b)

80

c)

56

d)

70

39.

What is 75% of 1 kg

a)

250g

b)

400 g

c)

750 g

d)

950 g

40.

20% to fractions in simplest form will be ------------

(a)

41.

Out of 32 students, 8 are absent. What percent of the students are present?

a)

50%

b)

100%

c)

25%

d)

75%

42.

There are 120 voters, 90 of them voted yes. What percent voted yes?

a)

505

b)

75%

c)

10%

d)

25%

43.

The price of a scooter was ₹ 34,000 last year. It has increased by 20% this year. the price now Rs. -------

(a)

44.

The ratio of 3 m to 60 cm is

a)

4 : 1

b)

3:1

c)

5:1

d)

2:1

45.

The cost of 3 envelopes is ₹ 15 then the cost of 5 envelopes is Rs. -------------

(a)

46.

Per cent is derived from Latin word per centum meaning ————

(a)

47.

In a city, 30% are females, 40% are males and remaining are children. The per cent are children ----------

(a)

48.

The buying price of any item is known as its ————

(a)

49.

Charge given on borrowed money is ————-

(a)

50.

Out of 30 students in a class, 9 are girls. What is the percentage of girls?

a)

30%

b)

20%

c)

10%

d)

40%

51.

5% of 1 hour is ———–

a)

3 minutes

b)

6 minutes

c)

9 minutes

d)

10 minutes

52.

8% children of a class of 25 like getting wet in the rain. How many children do not like getting wet in the rain.

a)

23

b)

18

c)

21

d)

23

53.

A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they lose?

a)

10

b)

15

c)

5

d)

8

54.

Express 3¹/₄% as fraction

a)

11/200

b)

12/300

c)

13/400

d)

14/500

e)

15/600

55.

Express 0.0014 as per cents

a)

14%

b)

0.14%

c)

140%

d)

0.140%

e)

0.00014

56.

What percent of 2 days is 12 mins?

a)

8%

b)

⁶/₁₁%

c)

⁶/₁₆%

d)

⁵/₁₂%

e)

⁶/₁₄%

57.

A grocer earns ₹ 595 for 7 days. How much will he earn in 15 days?

a)

₹ 1275

b)

₹ 1375

c)

₹ 1475

d)

₹ 1575

e)

₹ 1675

58.

Which one of the following is the correct formula for finding SI (Simple Interest)?

(T = Time Period, P = Principal, R = Per Annum)

a)

P x R x T ÷ 100

b)

R x P x T ÷ 100

c)

R x T x P ÷ 100

d)

T x P x R ÷ 100

e)

T x R x P ÷ 100

59.

Aaliyah picked 30 apples at the orchard. She finds that two-fifths of the apples have spots on them. How many apples have spots on them?

a)

12

b)

1/75

c)

30

d)

6

60.

A bag of chocolate candies contains a variety of colors. Evie pull out 32 pieces of candy and finds that five-eighths of them are colored red. Which is the correct equation to find how many pieces of candy are red?

a)

5/8 x = 32

b)

5/8 ● 32 = 20

c)

5/8 ● 20 = 32

d)

5/8 ÷ 32 = 5/256

61.

Three-quarters of 12 apples are green. How many apples are green?

a)

12

b)

9

c)

6

d)

3

62.

When Ms. Lopez surveyed her 30 students, she found that 18 our of the 30 likes chocolate ice cream. Find the ratio, in fraction form of the students who liked chocolate ice cream to the total number of students in simplest form.

a)

18/30

b)

9/15

c)

3/5

d)

36/60

63.

Five-sixths of the kids attending a tennis camp are right-handed. There were 48 total kids attending the camp. Which is the correct product that gives the number of right-handed kids?

a)

5 ● 8 = 40

b)

5/8 ● 40 = 48

c)

5/8 x = 40

d)

5/8 ● 48 = 40

64.

Antonio was painting a fence with 16 boards. He finished painting 1/4 of the fence. How many boards did Antonio paint?

a)

2

b)

4

c)

8

d)

64

65.

There are 10 cows. 1/5 of them have spots. How many have spots?

a)

2

b)

3

c)

4

d)

5

66.

Which equation matches the tape diagram?

a)

2 + 7 = 9

b)

7 + 1= 8

c)

2 x 7 = 9

d)

7 x 2 = 14

67.

Five-twelfths of the participants at a conference brought laptop computers with them. If there were 276 participants, which of the following is the number of people who brought laptops?

a)

75

b)

86

c)

115

d)

124

68.

Amelia collected 54 pieces of candy during Halloween. Of those 54 pieces, five-ninths had chocolate in them. Two-thirds of the ones that didn't have chocolate were gum. Which would be the first step to solving how many of the pieces were gum?

a)

5/9 ● 54

b)

2/3 ● 54

c)

2/3 ● 30

d)

5/9 ● 24

69.

Amelia collected 54 pieces of candy during Halloween. Of those 54 pieces, five-ninths had chocolate in them. Two-thirds of the ones that didn't have chocolate were gum. How many pieces had chocolate in them?

a)

24

b)

54

c)

16

d)

30

70.

Amelia collected 54 pieces of candy during Halloween. Of those 54 pieces, five-ninths had chocolate in them. Two-thirds of the ones that didn't have chocolate were gum. How many pieces did not have chocolate in them?

a)

54

b)

24

c)

30

d)

16

71.

Amelia collected 54 pieces of candy during Halloween. Of those 54 pieces, five-ninths had chocolate in them. Two-thirds of the ones that didn't have chocolate were gum. How many pieces were gum?

a)

54

b)

24

c)

16

d)

30

72.

Of 56 people watching a soccer game, 21 are rooting for the away team. Which of the following is the fraction of people rooting for the away team?

a)

4/5

b)

3/5

c)

5/8

d)

3/8

73.

Of 56 people watching a soccer game, 21 are rooting for the away team. Which of the following is the fraction of people rooting for the home team?

a)

5/8

b)

2/5

c)

1/5

d)

3/8

74.

In a bag full of candy, for every 8 pieces, 5 of them are gum. There are 20 pieces of gum. Which equation shows how to find the total amount of candy?

a)

5/8 ● 20 = 25/2

b)

5/8 x = 20

c)

5/8 ● 32 = 20

d)

5/8 x = 32

75.

At an animal shelter three-quarters of the animals are cats. If there are 48 cats, how many total animals are there?

a)

36

b)

48

c)

64

d)

72

76.

Find the ratio of 600g to 5kg

a)

25:3

b)

3:25

c)

6/500

d)

500/6

77.

A fraction that contains one or more fractions in its numerator or denominator.

a)

percent change

b)

equivalent fractions

c)

complex fraction

d)

inverse operations

78.

The smallest multiple (other than zero) that two or more numbers have in common

a)

percent error

b)

constant of proportionality

c)

greatest common factor

d)

least common multiple

79.

A ratio that compares a number to 100

a)

percent change

b)

product

c)

rate

d)

percent

80.

The largest factor that two or more numbers have in common.

a)

constant of proportionality

b)

percent error

c)

least common multiple

d)

greatest common factor

81.

A symbol used to represent an unknown number

a)

variable

b)

simplify

c)

discount

d)

prime number

82.

Fractions that have the same value

a)

equivalent fractions

b)

complex fraction

c)

inverse operations

d)

equivalent expressions

83.

A comparison of two quantities by division

a)

rational number

b)

proportion

c)

ratio

d)

rate

84.

the answer to a multiplication problem

a)

product

b)

discount

c)

percent

d)

quotient

85.

A number that can be written as a fraction

a)

prime number

b)

rational number

c)

percent change

d)

percentage

86.

The amount by which the regular price of an item is reduced

a)

quotient

b)

product

c)

discount

d)

inequality

87.

A whole number that has exactly two factors, 1 and itself.

a)

percent error

b)

rational number

c)

prime number

d)

inequality

88.

A ratio that compares the change in a quantity to the original amount.

a)

percent change

b)

percentage

c)

percent error

d)

complex fraction

89.

A term without a variable

a)

constant

b)

coefficient

c)

unit rate

d)

quotient

90.

To write a fraction or expression in simplest form

a)

simplify

b)

proportion

c)

inequality

d)

discount

91.

A statement that compares two quantities using <, >, ≤,≥, or ≠

a)

percent error

b)

expression

c)

equation

d)

inequality

92.

The multiplicative inverse of a number

a)

reciprocal

b)

proportion

c)

percentage

d)

product

93.

Also known as a gratuity, it is a small amount of money in return for a service.

a)

rate

b)

discount

c)

tip

d)

ratio

94.

On average 4 students eat 1200 g of rice how much rice will be needed for 10 students.

(a)

95.

Write 3/5 as percent.

(a)

96.

If 65% of students In a class have a bicycle what percent of the students do not have bicycles.

(a)

97.

Find; 1% of 5meter

(a)

98.

Find the whole quantity of ;18% of it is 1080

(a)

99.

Convert given percent to the fractions and then in the simplest forms 36%

(a)

100.

Divide 30 sweets between. Hary and Ragini so that they get 30% and 70% of them respectively

(a)

Problems on Fractions, ratios and Percents

Total questions: 100

Worksheet time: 2hrs 28mins

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