Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write the part-to-whole ratio 7:16 as a percent.
a. | 43.75% | b. | 0.4375% | c. | 56.25% | d. | 77.78% |
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2.
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Bob sold 11 adult tickets, 26 students tickets, and 4 child tickets for the
school concert.
What is the ratio of student tickets to total number of tickets?
a. | 26:37 | b. | 11:41 | c. | 26:41 | d. | 11:37 |
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3.
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The ratios  :16 and 5:2 are equivalent. Find the missing number.
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4.
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Write the ratio 15:25:20 in simplest form.
a. | 3:4:5 | b. | 10:20:15 | c. | 5:15:10 | d. | 3:5:4 |
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5.
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In a sports centre, there are 88 lockers for men and 77 lockers for women.
Write the ratio of men’s lockers to women’s lockers in simplest form.
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6.
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Order these ratios from least to greatest.
5:8, 5:9, 7:11,
6:9
a. | 6:9, 5:8, 7:11, 5:9 | c. | 7:11, 6:9, 5:8, 5:9 | b. | 5:9, 7:11, 5:8, 6:9 | d. | 5:8, 6:9, 5:9,
7:11 |
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7.
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A model is made of a car. The car is 3 m long and the model is 4 cm
long.
What is the ratio of the length of the car to the length of the model?
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8.
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Find the value of the variable.
33:f = 12:20
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9.
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Two towns that are 32 km apart are 8 cm apart on a map.
What is the scale of
the map?
a. | 1:250 000 | b. | 1:400 000 | c. | 1:300 000 | d. | 1:392
000 |
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10.
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Laura types 240 words in 3 min. What is her unit rate of typing?
a. | 80 wpm | b. | 210 wpm | c. | 240 wpm | d. | 720
wpm |
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11.
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Victor's model car covers 250 m in 5 min. What is the average speed of his
car?
a. | 125 m/min | b. | 50 m/min | c. | 250 m/min | d. | 1250
m/min |
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12.
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Write a unit rate for this statement.
472 km travelled in 8 h
a. | 61 km/h | b. | 118 km/h | c. | 60 km/h | d. | 59
km/h |
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13.
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At an average speed of 47 km/h, how far can you travel in 7 h?
a. | 336 km | b. | 384 km | c. | 376 km | d. | 329
km |
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14.
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Population density is the number of people per square kilometre.
What is the
population density of a city that has 140 000 people in 1150 km2?
a. | 24 people/km2 | c. | 122
people/km2 | b. | 79 people/km2 | d. | 384
people/km2 |
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15.
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Tomatoes cost $2.80 for 2 kg. How many kilograms of apples can you buy with
$7.00?
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Short Answer
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16.
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Write 3 different ratios using this diagram. 
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17.
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Marty has 3 white T-shirts, 2 coloured T-shirts, and 4 sweaters.
What is the
ratio of T-shirts to sweaters?
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18.
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Write 2 ratios equivalent to the ratio 8:10.
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19.
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Shade the grid to show a ratio of 5:7. 
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20.
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Jake makes a punch using 4 cans of concentrate with 5 cans of water.
Roland
makes another punch using 5 cans of concentrate and 7 cans of water.
Which punch is stronger?
Explain.
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21.
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Find the value of the variable.
6:x = 9:17
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22.
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The ratio of win to loss is 5:4 for a sports team.
If the team played 90
games, how many games did the team win?
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23.
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There are 48 students going on a school trip. The ratio of boys to girls is 3:5.
a) How many of the students are
girls?
b) If 8 adults accompany the students, what is the ratio of
adults to boys?
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24.
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In a survey, 5 out of 6 nutritionists recommended hot oatmeal for breakfast.
If 300 nutritionists were surveyed, how many recommended hot oatmeal?
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25.
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Model ships are built to a scale of 1:700. a) A model ship is 18 cm long. What is the
actual length of the ship?
b) A ship is 420 m long. What is the
length of the model ship?
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26.
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A hotel offers a special rate of $104.50 per night, including taxes.
How
much does it cost for 6 nights of stay?
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27.
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The cost of 6 m of ribbon is $21. a) What is the cost per
metre?
b) What would be the cost of 11 m of
ribbon?
c) How much ribbon could you buy for $28?
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28.
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Marcus and Lisa went on holiday to England. The rate of exchange for their
money was $2.35 Can to £1. a) How
many English pounds would they get for $176.25 Can?
b) Lisa bought a
gift for £28. What is the value of the gift in Canadian dollars?
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29.
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Shazia earns $99.60 for working 12 h. Michelle earns $94.60 for working 11 h.
Which job pays more? Explain.
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30.
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The table shows the prices for different numbers of pens. Number
of Pens | Cost | 31 | $4.65 | 23 | $3.68 | 36 | $5.04 | | |
Which is the best buy?
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Problem
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31.
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A box contains 10 chocolate creams, 7 chocolate covered almonds, and 8 chocolate
caramels. a) What is the ratio of
chocolate caramels to non-caramels?
b) What chocolate could you eat
to change the ratio of chocolate caramels to non-caramels to 1:2?
c)
If you now eat one of each kind of chocolate, what is the new ratio of chocolate caramels to
non-caramels?
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32.
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For a school trip, the ratio of adults to students must be at least 2 adults for
every 9 students.
How many adults are required for 65 students? Explain your thinking.
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33.
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The glide ratio of a plane is the ratio of the horizontal distance travelled to
the loss in altitude.
Two small planes start to descend from a height of 540 m.
Plane A has a
glide ratio of 16:5 and plane B has a glide ratio of 17:6.
When the planes reach the ground,
which plane will have travelled the greater horizontal distance?
How much greater? Show your
work.
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34.
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The 3 ratios AB:DE, BC:EF, and AC:DF of the 2 triangles are equal. Find the
values of x and y. Show your work. 
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35.
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Chris makes a scale drawing of his house. He uses 1 cm to represent 2 m. a) What is the ratio of a length in the
drawing to the actual length of the house?
b) What are the
dimensions of the house in the scale drawing?
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36.
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In a factory, each of two machines A and B produces 294 business cards per day.
On machine A, 4 out of every 21 cards is faulty.
On machine B, 3 out of every 14 cards is
faulty.
If the results are combined, what is the ratio of faulty cards to total cards
produced?
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37.
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In 3 stores, the same detergent is on special. Which store offers the best buy?
Explain. A: 6 bottles for
$12.48
B: 7 bottles for $14.42
C: 5
bottles for $10.35
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38.
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David flew from New Zealand to see his cousin Judy who was on holiday in Canada
from France. The rate of exchange for their money was $1 Can to $1.75 NZ or 0.45 euro. a) David exchanged $200 NZ to Canadian dollars
and Judy exchanged 200 euros to Canadian dollars.
How many
Canadian dollars did each person get?
b) Each of them bought a gift
costing $45.
What was the value of each gift in New Zealand
dollars and in euros?
Show your calculations.
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39.
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Grace and Jim each bought notebooks for school.
Grace got 4 notebooks for
$4.80. Jim got 3 notebooks for $3.90.
Jim says that he got a better deal. Explain whether or not
Jim is correct.
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40.
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Jack’s dog will eat two different brands of dog food. Brand A costs
$19.25 for a 7-kg bag Brand B costs $46.15 for a 13-kg bag. a) What is the cost per kilogram for each
brand?
b) If Jack mixes the food in the ratio of 2 parts of the
cheaper brand to 1 part of the more expensive brand, what is the cost per kilogram of mixed dog
food?
Explain your strategy.
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