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Revision for exam - Ratio and Rates

Total questions: 138

Worksheet time: 12hrs 30mins

Name
Class
Date
1.
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
2.
What is the ratio of triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
3.

What is the ratio of green marbles to blue marbles?

a)

4:13

b)

3:4

c)

3:13

d)

4:3

4.
What is the ratio of red circles to blue stars?
a)
3:4
b)

7:4

c)

11:4

d)

4:7

5.
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
6.

A ratio is a mathematical way to compare multiple related quantities.

a)

True

b)

False

7.

What is the ratio of circles to total shapes?

a)

3:4

b)

3:6

c)

3:7

d)

7:3

8.

What is the ratio of bananas to monkeys?

a)

4:5

b)

5:9

c)

4:9

d)

5:4

9.

What is the ratio of monkeys to bananas?

a)

4:5

b)

4:6

c)

5:4

d)

4:9

10.

What is the ratio of circles to stars?

a)

1:2

b)

2:1

c)

2:5

d)

1:5

11.

Are these ratios equivalent?

2:3 and 8:12

a)

Yes

b)

No

12.

Are these ratios equivalent?

3:4 and 6:12

a)

Yes

b)

No

13.

Which of the following are equivalent to 5:4

a)

25:20

b)

10:12

c)

15:12

d)

10:8

14.

2:6 = ?:3

Calculate ?

a)

6

b)

1

c)

3

d)

1.5

15.

Which ratio is equivalent to 12:20

a)

6:20

b)

2:3

c)

3:10

d)

3:5

16.

310:5 = x:1

Calculate x

a)

42

b)

52

c)

62

d)

72

17.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
18.

Will you get an equivalent ratio for 8/20 if you subtract 2 to from each number?

a)

Yes

b)

No

19.

Will you get an equivalent ratio for 8/20 if you multiply each number by 2?

a)

Yes

b)

No

20.

Will you get an equivalent ratio for 8/20 if you divide each number by 2?

a)

Yes

b)

No

21.

Which number will complete the equivalent ratio for 4:12?

20:_____

a)

60

b)

12

c)

48

d)

2

22.

Which number will complete the equivalent ratio for 4:12?

_____:6

a)

60

b)

12

c)

48

d)

2

23.
What ratio is equivalent to  12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
24.
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.  
a)
yes, equivalent
b)
no, not equivalent
25.

Find two equivalent ratios for 3 : 4 using multiplication

a)

6 : 8

b)

6 : 12

c)

9 : 12

26.

Find one equivalent ratio for 15 : 30 using division

a)

7 : 15

b)

5 : 10

c)

3 : 5

27.

Find two equivalent ratios for 12 : 18 using division

a)

6 : 6

b)

6 : 9

c)

4 : 6

28.

How can we find equivalent ratios? ( choose 2 answers )

a)

Adding

b)

Dividing

c)

Subtracting

d)

Multiplying

29.

Find one equivalent ratio for 5 : 8 using multiplication

a)

10 : 24

b)

15 : 24

c)

15 : 16

30.

Are 1 : 2 and 2 : 4 equivalent ratios?

a)

Yes

b)

No

31.

Are 4 : 5 and 8 : 15 equivalent ratios?

a)

Yes

b)

No

32.

Are 14 : 18 and 7 : 9 equivalent ratios?

a)

Yes

b)

No

33.

Is this an example of an equivalent ratio?

a)

True

b)

False

34.

Is this an example of an equivalent ratio?

a)

True

b)

False

35.

Is this an example of an equivalent ratio?

a)

True

b)

False

36.
a)
7
b)
8
c)
9
d)
10
37.
The ratio of 6th graders to 7th graders at a basketball game is 4:1.  If there are eight 7th graders, how many 6th graders are there?
a)
28
b)
16
c)
8
d)
32
38.

Complete the following equivalent ratio:

2 : 3 : 5 = 4 : ___:___

a)

4 : 6 : 7

b)

4: 7: 6

c)

4 : 6 : 10

d)

4 : 10 : 6

39.

Complete the following equivalent ratio:

4 : 12 : 16 = ___ : 6 :___

a)

4 : 6 : 16

b)

-2 : 6 : 10

c)

8 : 6 : 2

d)

2 : 6 : 8

40.

A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?

a)

4 : 5

b)

10 : 13

c)

3:4

d)

3:5

41.
What is the ratios of cats to dogs if there are 28 cats and 70 dogs?
a)
2:5
b)
5:2
c)
70:28
d)
98
42.

Express the following ratio in simplest form:

12:36

a)

1:3

b)

6:18

c)

4:12

d)

2:6

43.

How would you simplify the following ratio? 6:21

a)

Divide both sides by 2

b)

Divide both sides by 3

c)

Divide both sides by 4

d)

Divide both sides by 6

44.

Simplify the ratio 24:48:84

(a)  

45.

Write the ratio 300:550 in simplest form.


(Do not included any spaces in your answers.)

(a)  

46.

Simplify the ratio 13:12\frac{1}{3}:\frac{1}{2}  by multiplying so that both parts of the ratio are whole numbers, and the ratio is in simplest form.

(a)  

47.

Simplify the ratio  27:15\frac{2}{7}:\frac{1}{5}   by multiplying so that both parts of the ratio are whole numbers, and the ratio is in simplest form.   

(a)  

48.

Simplify the ratio 413: 3344\frac{1}{3}:\ 3\frac{3}{4} . 
Hint: first step is to convert to improper fractions.


(a)  

49.

8:6 = _:_

(a)  

50.

15:20 = _:_

(a)  

51.

12:32 = _:_

(a)  

52.

Simplify 35:12\frac{3}{5}:\frac{1}{2}  

(a)  

53.

Simplify 35:16\frac{3}{5}:\frac{1}{6}   

(a)  

54.

Simplify 213:1142\frac{1}{3}:1\frac{1}{4}    

(a)  

55.

Simplify 112:341\frac{1}{2}:\frac{3}{4}     

(a)  

56.

Fully simplify the ratio....


300g:4kg

a)

300:4000

b)

300:400

c)

3:40

d)

3:4

57.

Fully simplify the ratio....


600m:5km

a)

600:5000

b)

600:500

c)

6:50

d)

3:25

58.

Fully simplify the ratio....


2m:40cm

a)

200:40

b)

20:4

c)

5:1

d)

10:2

59.

Fully simplify the ratio....


18mm:3cm

a)

18:30

b)

9:15

c)

3:5

d)

6:10

60.

Fully simplify the ratio....

2kg:400g

a)

1:100

b)

2:400

c)

5:1

d)

2000:400

61.

Fully simplify the ratio....

500mL:5L

a)

500:5

b)

100:1

c)

1:10

d)

1:100

62.

Fully simplify the ratio....

20 cents:$4

a)

20:4

b)

5:1

c)

20:100

d)

1:20

63.

Fully simplify the ratio....

3 months:2 years

a)

3:2

b)

1:4

c)

3:24

d)

1:8

64.

Fully simplify the ratio....

3 hours:30 minutes

a)

3:30

b)

1:10

c)

6:1

d)

180:30

65.

Share $500 in the ratio 1:4

a)

$100:$400

b)

$1:$4

c)

$10:$40

d)

$250:$250

66.

Share $1 200 in the ratio 1:2:3

a)

$100:$200:$300

b)

$1:$2:$3

c)

$200:$400:$600

d)

$600:$600

67.

Divide 155m in the ratio 4:1

a)

4m:1m

b)

100m:55m

c)

124m:31m

d)

110m:45m

68.

Divide 88kg in the ratio 2:1:5

a)

2kg:1kg:5kg

b)

20kg:10kg:50kg

c)

25kg:13kg:50kg

d)

22kg:11kg:55kg

69.

Share 600c in the ratio 12:7:8:3

a)

120c:70c:80c:30c

b)

240c:140c:160c:60c

c)

12c:7c:8c:3c

70.

The ratio of boys to girls at Birdsville College is 2 : 3.

If there are 246 boys at the school, how many students attend Birdsville College?

(a)  

71.

The ratio of boys to girls at Birdsville College is 2 : 3.

If there are 246 boys at the school, how many girls attend Birdsville College?

(a)  

72.

The ratio of boys to girls at a school is 4 : 5. If there are 240 boys, how many students are there in

total?

(a)  

73.

The ratio of boys to girls at a school is 4 : 5. If there are 240 boys, how many girls attend the school?

(a)  

74.
A box of dried fruit has 76 calories in 4 servings.  How many calories are there per serving?
a)
19
b)
20
c)
304
d)
284
75.
Which rate is equivalent to $9 per hour?
a)
$27 in 3 hours
b)
$28 in 4 hours
c)
$33 in 3 hours
76.

A rate is a ratio that compares

a)

A part to a part

b)

A part to a whole

c)

Quantities with different units

d)

Quantities with the same units

77.

$45 is spent in 3 hours. Calculate rate in simplest form.

a)

$90/6 hours

b)

$15/h

c)

$43/h

d)

$45/3h

78.

In rate, the two units are separated by which symbol called "per"?

a)

*

b)

#

c)

&

d)

/

79.

All rates must ___________ units for each quantity.

a)

include

b)

exclude

80.

If a 400 page book is read in 4 days, calculate the rate.

a)

400 pages/4 days

b)

200 pages/2 days

c)

100 pages/day

d)

396 pages/day

81.

Express as a simplified rate:

12 students for 2 teachers

a)

12 students/2 teachers

b)

6 s/t

c)

6 students/teacher

d)

6 students/teachers

82.

Express as a simplified rate:

$28 for 4 kilograms of fruit

a)

$28/4kg

b)

$7/kg

c)

7$/kg

d)

7kg/$

83.

Express as a simplified rate:

20 loads for 5 workers

a)

20 loads/5 workers

b)

4 loads/workers

c)

4 workers/load

d)

4 loads/worker

84.

Express as a simplified rate:

15 goals in 3 games

a)

15 goals/3 games

b)

5 goals/game

c)

5 games/goal

d)

5 goals/games

85.

Express as a simplified rate:

60 minutes to run 15 kilometres

a)

4 km/min

b)

0.25 km/min

c)

4 min/km

d)

0.25 min/km

86.

Express as a simplified rate:

80mm rainfall in 5 days

a)

16 mm/day

b)

16 days/mm

c)

16 mm/days

d)

80 mm/5days

87.

Express as a simplified rate:

Kayla saved $420 in 3 weeks.

a)

$420/3 weeks

b)

140 $/week

c)

140 weeks/$

d)

$140/week

88.

A dripping tap filled a 9 litre bucket in 3 hours. What was the dripping rate of the tap?

a)

9h/L

b)

3h/L

c)

3 L/h

d)

9 L/h

89.

A dripping tap filled a 9 litre bucket in 3 hours. How long would it take to fill a 21 litre bucket?

a)

7 litres

b)

3h/L

c)

3 L/h

d)

7 hours

90.

30 salad rolls were bought to feed 20 people at a picnic and the total cost was $120. Calculate the rate of salad rolls per person.

a)

1.5 salad rolls/person

b)

6 salad rolls/person

c)

4 salad rolls/person

d)

0.25 salad rolls/person

91.

30 salad rolls were bought to feed 20 people at a picnic and the total cost was $120. Calculate the cost per person.

a)

$1.5/person

b)

$6/person

c)

$4/person

d)

$0.25/person

92.

30 salad rolls were bought to feed 20 people at a picnic and the total cost was $120. Calculate the cost per roll.

a)

$1.5/roll

b)

$6/roll

c)

$4/roll

d)

$0.25/roll

93.

You use 1/2 cup of concentrate for every 2 cups of water to make juice. How much concentrate and water do you use to make 10 cups of juice?

a)

1/2 cup conc.

2 cups water

b)

2 cups conc.

8 cups water

c)

3 cups conc.

7 cups water

d)

6 cups conc.

3 cups water

94.
a)

435

b)

430

c)

264

d)

216

95.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
96.
Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?
a)
475 cars per day
b)
19 cars per day
c)
.05 cars per day
d)
15 cars per day
97.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
98.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
99.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
100.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
101.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
102.
Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?
a)
475 cars per day
b)
19 cars per day
c)
.05 cars per day
d)
15 cars per day
103.
Luke can paint 91 portraits in 7 weeks. How many portraits does he paint each week?
a)
637 cars per week
b)
13
c)
.08 portraits per week
d)
13 portraits per week
104.
At the market, 7 apples cost $4.55. What is the cost per apple?
a)
1.54 apples per dollar
b)
1.54 dollars per apple
c)
$0.65 per apple
d)
not here
105.
Henry can write 5 ¼  pages of his novel in 3 hours. How many pages does he write per hour?
a)
15.25 pages per hour
b)
15.75 pages per hour
c)
1.75 pages per hour
d)
not here
106.
A rate is a ratio that compares 2 different_______________________________.
a)
people
b)
units/measurements
c)
fractions
d)
denominators
107.
One real world example of when we use rates and unit rates is ______________________________________.
a)
miles per hour
b)
apples to oranges
c)
girls to boys
d)
teachers to students
108.
Which of the following is a UNIT RATE?
a)
10 miles / 2 hours
b)
$6 for each hour
c)
1 box / $3
d)
15 pounds every 5 servings
109.

Identify the better deal. Four rolls of toilet paper for $7.99 or $6.29 for 3 rolls?

a)

4 rolls for $7.99

b)

3 rolls for $ 6.29

110.

You can buy 5 cans of green beans at the Village Market for $2.50, or you can buy 10 of them at Best Food for $ 5.10. Which is the better buy?

a)

Village Market

b)

Best Food

111.
Suppose that on a Saturday morning you can cut 3 lawns in 5 hours, and your friend can cut  5 lawns in  8 hours.  Who is cutting lawns at a faster rate?
a)
I am cutting lawns a little faster
b)
My friend is cutting laws a little bit faster 
c)
We cut lawns at the same rate 
d)
I don't cut lawns SONNN
112.
 The secretary in the main office can type 225 words in 3 minutes, while the computer teacher can type 105 words in 90 seconds. Can we still compare the unit rates? Who types at a faster rate? Don't forget to first convert to the same unit (seconds or minutes). 
a)
Main office secretary 
b)
Computer teacher 
c)
They type at the same rate
d)
You can't do anything to compare seconds and minutes
113.
One math student, John, can solve 𝟔 math problems in 𝟐𝟎 minutes while another student, Juaquine, can solve the same 𝟔 math problems at a rate of 𝟏 problem per 𝟒 minutes. Who works faster? 
a)
John can solve faster
b)
Juaquine can solve faster
c)
They solve at the same rate
d)
#mathsohard
114.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
115.
Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
116.
Austin mowed 7 lawns in 4 hours. At that rate, how long will it take him to mow 21 lawns?
a)
11 hours
b)
12 hours 
c)
21 hours
d)
 28 hours.
117.
At the market, 7 apples cost $4.55. What is the cost per apple?
a)
1.54 apples per dollar
b)
1.54 dollars per apple
c)
$0.65 per apple
d)
not here
118.
Bill jogs 400 meters to Andy's house, turns around, and runs 400 meters back home.  He does so in 267 seconds.  What is Bill's average speed?
a)
about 3 m/s
b)
about 1.5 m/s
c)
0
d)
about 4 m/s
119.
What is the formula to calculate speed?
a)
S = t/d
b)
S = d/t
c)
S = d x t
d)
S = t x d
120.

A runner races in the 100 meter dash. It takes her 10 seconds to finish. What is her average speed?

a)

10 m/s

b)

1000 m/s

c)

100 seconds

d)

10 seconds

121.
A train travels 25 km in .5 hrs. How fast is the train going?
a)
25 miles/hr
b)
5 miles/hr
c)
125 km/hr
d)
50 km/hr
122.
The baseball park is 4200 m from Camden's house.  I took him 30 minutes to get there.  What was Camden's speed?
a)
.007 m/min
b)
12.60 m/min
c)
140 m/min
d)
126 m/min
123.
What is the fastest land mammal?
a)
horse
b)
cheetah
c)
peregrine falcon
d)
mouse
124.

Distance formula

a)

S X T

b)

T X S

c)

T/D

d)

D/T

125.

Time formula

a)

T= D/S

b)

T= S X T

c)

T = D/ T

d)

T= T/ T

126.
Friday, Brooklyn walked her usual 5000 m to school in 60 minutes.  On Monday her speed was 75 m/min.  On which day was Brooklyn's speed better?
a)
Monday, she really wanted to get to school
b)
Friday, she was excited to celebrate Fri-yay!
c)
Tuesday, she was sleep walking.
d)
Saturday, she forgot where she was going.
127.
A jet airliner flies 4100 km from New York City to San Francisco in 4.25 hours.  What is its average speed?
a)
964.71 km/hr
b)
96.47 km/hr
c)
17,425 km/hr
d)
174.25 km/hr
128.
How long would it take a bus traveling at 50 km/h to travel 125 km?
a)
6,250 hours
b)
2.5 km
c)
2.5 hours
d)
6,250 km
129.
A bus carrying Ava's friends to a soccer game traveled 10 km in 30 minutes. To determine the average speed of the bus in km/hr, your first step would be to __________?
a)
convert speed to distance
b)
convert minutes to hours
c)
convert hours to seconds
d)
convert seconds to hours
130.

A train travels at 52 km/h. How far does it travel in

15 min?

a)

780 m

b)

780 km

c)

13 m

d)

13 km

131.

Kirstie drove for 24 min at a speed of 85 km/h to reach the museum from her home. How far was the museum from her home?

a)

3.5 km

b)

16.9 km

c)

34 km

d)

212.5 km

132.

A car travels 110 kilometers from one city to another city at the same speed. The car takes 2 hours to make the trip. What is the speed of the car?

a)

110 kilometers per hour

b)

55 miles per hour

c)

55 kilometers per hour

d)

110 miles per hour

133.

Mrs. Hill was riding her bike. She travels 20 km. It took her 2 hours. If Mrs. Hill traveled at the same speed, how fast was she traveling?

a)

40 km/hr

b)

10 km/hr

c)

2 km/hr

d)

20 km/hr

134.

Paul swims 220 metres in 110 seconds. Find his speed in m/s.

a)

2m/s

b)

0.5m/s

c)

2km/h

d)

2.2m/s

135.

Paul swims 100 metres in 200 seconds. Find his speed in m/s.

a)

2m/s

b)

0.5m/s

c)

2km/h

d)

2.2m/s

136.
Joanna drives for 400km at an average speed of 80km/h. How long was her journey?
a)
Joanna's journey was 5hrs long
b)
Joanna's journey was 10hrs long
c)
Joanna's journey was 20hrs long
d)
Joanna's journey was 15hrs long
137.
How far will a person go if they jog for 2 hours at a speed of 12 km/hr?
a)
6 km
b)
0.5 km
c)
10 km
d)
24 km
138.
A hot air balloon traveled 2.5 hours at a speed of 450 km/hr. What distance did it travel?
a)
87 m/s
b)
1300 m/s
c)
180 km
d)
1,125 km

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Unit 2 - Fractions Review

138 questions

Unit 2 - Fractions Review

quiz

Worksheet

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8th Grade