Free Printable Rates, Ratio and fractions

1.

a)

a

b)

b

c)

c

d)

d

2.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

3.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

4.

A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?

a)

Slower rate

b)

Faster rate

c)

He didn't grade them

d)

Everyone got 100

5.

150 grams of fertilizer is required for a land area of 6 square acres. At this rate, how many grams of fertilizer is needed for 13 square acres?

a)

25 grams

b)

300 grams

c)

325 grams

d)

310 grams

6.

Four pounds of bananas cost $6. What is the cost per pound of bananas?

a)

$24 per pound

b)

$1.50 per pound

c)

$1 per pound

d)

$6 per pound

7.

Which is the "better buy"? A 12 ounce can of corn for $1.92 of a 20 ounce can of corn for $3.00?

a)

They are the same

b)

The 20 ounce can

c)

The 12 ounce can

8.

Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

a)

$7 per hour

b)

$6 per hour

c)

$6.80 per hour

d)

$17.40 per hour

9.

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

10.

Which is the slowest reading rate?

a)

3 pages in 9 minutes

b)

4 pages in 10 minutes

c)

5 pages in 13 minutes

d)

7 pages in 20 minutes

11.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

12.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

13.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

14.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

15.

If Maya makes $10 an hour at her after school job, how many hours will it take her to earn $150?

a)

10 hours

b)

1.5 hours

c)

15 hours

d)

20 hours

16.

You go to the grocery store to buy dog food. The store has three sizes available:

A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00

Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

17.

It takes 4 quarts of paint to cover 560 square feet. How many quarts of the same paint are needed to cover 140 square feet?

a)

4 1/2 quarts

b)

2 quarts

c)

1 quart

18.

A tree in Dante's neighborhood grew 18 inches in the first 2 years after it was planted. If the tree continues to grow at this rate, how much would the tree have grown after 6 years?

a)

36 inches

b)

54 inches

c)

48 inches

d)

72 inches

19.

Norman opened a savings account with $250 dollars and planned to save $100 per month. Which equation could be used to model this situation?

a)

y = 250x + 100

b)

y = 100x

c)

y = 100x + 250

d)

y = 350x

20.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

3:5

b)

1:3

c)

3:11

d)

3:10

21.

If there are 5 boys and 7 girls, write the ratio of girls to boys.

a)

5 to 7

b)

7 to 5

c)

5 to 12

d)

7 to 12

22.

Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players?

a)

10 : 3

b)

10:13

c)

3 : 10

d)

3:13

23.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

24.

What number is missing?

a)

12

b)

3

c)

11

d)

13

25.

What is B?

a)

3

b)

9

c)

2

d)

6

26.

I have 16 pairs of shoes. 5 are stilettos the rest are flats. What porportion are flat?

a)

11 out of 16

b)

5 out of 16

27.

Nick and Kate work a total of 36 hours in the ratio 4:5 How many hours does Nick work?

a)

4

b)

5

c)

16

d)

20

28.

Mick, Ben and Jane are splitting a cash bonus of £1800 in the ratio of 3:4:5. How much will Ben receive?

a)

£400

b)

£450

c)

£600

d)

£750

29.

Last week Ben spent his wages of £120 on going out and clothes in the proportion of 1:3. How much did he spend on going out?

a)

£100

b)

£300

c)

£30

d)

£60

30.

The exchange rate was $15 for every £10. How many dollars would you get for £65?

a)

$67

b)

$95

c)

$87.5

d)

$97.5

31.

The ratio of adults to children on a school trip is 1 : 15. How many adults must accompany the 3 classes of 30 children going to Blyth Sports Centre?

a)

6

b)

7

c)

10

d)

20

32.

Three partners put the following amounts into a business; £14 000 £16 000 £18 000. What is the ratio of their shares in the simplest form?

a)

1:2:4

b)

3:5:7

c)

6:7:8

d)

7:8:9

33.

What is the ratio of red to white tiles?

a)

13 : 12

b)

12 : 13

c)

12 : 25

d)

13 : 25

34.

What is the ratio of red to white tiles in its simplest form?

a)

13 : 12

b)

12 : 13

c)

5 : 4

d)

4 : 5

35.

A recipe needs 400g flour, 200g butter and 100g sugar. What ratio of flour to butter to sugar is that?

a)

400 :200 :100

b)

4 : 2 : 1

36.

Steve and Rob worked a total of 114 weeks for the same company in a ratio of 6 : 13. How many weeks did Steve work for the company?

a)

28

b)

26

c)

36

d)

42

37.

Fruit cocktails were made using 1000ml apple juice, 2000ml pineapple juice, 250 ml pomegranate juice and 50ml cranberry juice. Write this in its simplest form.

a)

1000 : 2000 : 250 : 50

b)

10 : 20 : 25 : 5

c)

20 : 40 : 5 : 1

d)

10 : 20 : 2.5 : 1

38.

Adam and Craig worked a total of 75 hours last week in the ratio 8 : 7. How many hours did Craig work?

a)

35

b)

45

c)

50

d)

66

39.

Sand and cement is a ratio of 7 : 2

If you used 28 shovels of sand how many shovels of cement are needed?

a)

2

b)

4

c)

6

d)

8

40.

Simplify the following ratio 100 : 25 : 50

a)

1 : 2 : 5

b)

10 : 2.5 : 5

c)

4 : 1 : 2

d)

3 : 1 : 2

41.

$\frac{1}{6}+\frac{2}{3}$

a)

$\frac{1}{3}$

b)

$\frac{5}{6}$

c)

$\frac{3}{9}$

d)

$\frac{2}{18}$

42.

$\frac{4}{8}-\frac{1}{4}$

a)

$\frac{1}{4}$

b)

$\frac{3}{8}$

c)

$\frac{4}{32}$

d)

$\frac{3}{4}$

43.

$\frac{2}{10}+\frac{3}{5}$

a)

$\frac{5}{15}$

b)

$\frac{6}{5}$

c)

$\frac{4}{5}$

d)

$\frac{1}{5}$

44.

$\frac{5}{16}-\frac{1}{8}$

a)

$\frac{4}{8}$

b)

$\frac{1}{4}$

c)

$\frac{3}{16}$

d)

$\frac{1}{2}$

45.

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

a)

$\frac{3}{8}$

b)

$\frac{3}{2}$

c)

$\frac{3}{4}$

d)

$\frac{1}{2}$

46.

$\frac{3}{8}\div\frac{1}{16}$

a)

$\frac{3}{128}$

b)

$\frac{3}{2}$

c)

$6$

d)

$\frac{1}{6}$

47.

$\frac{7}{9}-\frac{2}{3}$

a)

$\frac{5}{6}$

b)

$\frac{5}{9}$

c)

$\frac{5}{3}$

d)

$\frac{1}{9}$

48.

$\frac{8}{9}\div\frac{2}{3}$

a)

$\frac{8}{3}$

b)

$\frac{4}{3}$

c)

$\frac{16}{27}$

d)

$\frac{27}{16}$

49.

$\frac{15}{18}-\frac{2}{3}$

a)

$\frac{13}{3}$

b)

$\frac{13}{15}$

c)

$\frac{13}{18}$

d)

$\frac{1}{6}$

50.

3 ⅗ x 2 ⅔ =

a)

5 6/15

b)

9 3/5

c)

6 2/5

d)

18/40

51.

Find the reciprocal1/8

a)

8

b)

1/8

52.

1/2 x 3/4 (simplify if needed)

a)

3/8

b)

3/4

c)

4/6

d)

3/2

53.

What is 3/4 + 2/3

a)

5/7

b)

1 1/4

c)

6/12

d)

1 5/12

54.

What is 2/3 + 4/5?

a)

1 7/15

b)

1 5/6

c)

12/65

d)

1 2/3

55.

What is 3/5 + 9/8?

a)

3/4

b)

1 29/40

c)

1 2/3

d)

6/7

56.

What is 3/4 - 1/2?

a)

1 1/4

b)

4/5

c)

1/4

d)

5/6

57.

What is 3/4 - 1/2?

a)

1 1/4

b)

4/5

c)

1/4

d)

5/6

58.

What is 8/9 - 5/6?

a)

1/18

b)

3/4

c)

6/7

d)

10/12

59.

Write the fraction representing the shaded portion?

a)

\frac{7}{3}

b)

$\frac{3}{7}$

c)

$\frac{3}{6}$

d)

$\frac{7}{7}$

60.

Express $\frac{20}{3}$ as a mixed fraction.

a)

$6\frac{4}{3}$

b)

$6\frac{3}{3}$

c)

$7\frac{2}{3}$

d)

$6\frac{2}{3}$

61.

Express $7\frac{3}{4}$ as a improper fraction.

a)

$\frac{41}{4}$

b)

$\frac{21}{4}$

c)

$\frac{51}{4}$

d)

$\frac{31}{4}$

62.

Express $10\frac{3}{5}$ as a improper fraction.

a)

$\frac{50}{5}$

b)

$\frac{53}{5}$

c)

$\frac{52}{5}$

d)

$\frac{51}{5}$

63.

Express $8\frac{4}{9}$ as a improper fraction.

a)

$\frac{72}{9}$

b)

$\frac{74}{9}$

c)

$\frac{76}{9}$

d)

$\frac{4}{9}$

64.

Find the equivalent fraction of 3 / 5 having denominator 20

a)

$\frac{10}{20}$

b)

$\frac{15}{20}$

c)

$\frac{12}{20}$

d)

$\frac{3}{20}$

65.

Find the equivalent fraction of $\frac{36}{48}$ with numerator 9

a)

$\frac{9}{8}$

b)

$\frac{9}{10}$

c)

$\frac{9}{12}$

d)

$\frac{9}{11}$

66.

$\frac{5}{9},\ \frac{30}{34}$

Check whether the given fractions are equivalent:

a)

Yes

b)

No

67.

$\frac{150}{60}$

Reduce the fraction to simplest form:

a)

$\frac{5}{2}$

b)

$\frac{3}{2}$

c)

$\frac{7}{2}$

d)

$\frac{5}{3}$

68.

Compare the fractions and put an appropriate sign.
$\frac{1}{7}$ ☐ $\frac{1}{4}$

a)

$<$

b)

$>$

c)

$=$

d)

None of these

69.

Rafiq exercised for $\frac{3}{6}$ of an hour, while Rohit exercised for $\frac{3}{4}$ of an hour. Who exercised for a longer time?

a)

Rafiq

b)

Rohit

70.

$\frac{1}{18}+\frac{1}{18}$

a)

$\frac{1}{18}$

b)

$\frac{1}{9}$

c)

$\frac{4}{18}$

d)

$\frac{2}{9}$

71.

$\frac{6}{7}-\frac{1}{7}$

a)

$\frac{6}{7}$

b)

$5$

c)

$\frac{5}{7}$

d)

$\frac{1}{7}$

72.

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

a)

4

b)

2

c)

3

d)

$\frac{4}{3}$

73.

$\frac{150}{60}$

Reduce the fraction to simplest form:

a)

$\frac{5}{2}$

b)

$\frac{3}{2}$

c)

$\frac{7}{2}$

d)

$\frac{5}{3}$

Rates, Ratio and fractions

Total questions: 73

Worksheet time: 7hrs 50mins

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