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 ratio 9:12 as a fraction.
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2.
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Write the part-to-whole ratio 12:13 as a fraction.
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3.
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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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4.
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A student has 3 red counters and 10 blue counters on her desk.
What is the
ratio of red counters to blue counters?
a. | 10:3 | b. | 3:10 | c. | 3:13 | d. | 10:13 |
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5.
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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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6.
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Write the ratio 16:24 in simplest form.
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7.
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Write the ratio 35:7 in simplest form.
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8.
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Which two ratios are equivalent?
14:16, 15:30, 35:40,
21:23
a. | 14:16, 35:40 | b. | 15:30, 21:23 | c. | 14:16, 15:30 | d. | 35:40,
21:23 |
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9.
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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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10.
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Find the value of the variable.
8:7 = p:56
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11.
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Find the value of the variable.
33:f = 12:20
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12.
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Find the value of the variable.
18:12 = 30:w
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13.
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A vehicle uses 60 L of gas for travelling a distance of 500 km.
Calculate
the rate of gas consumption of the vehicle in L/100 km.
a. | 0.12 L/100 km | b. | 8.33 L/100 km | c. | 12 L/100 km | d. | 300 L/100
km |
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14.
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A soccer player scored 32 goals in 75 games.
Write the player’s scoring
rate as a unit rate. Round your answer to 3 decimal places.
a. | 0.427 goals per game | c. | 0.677 goals per game | b. | 2.344 goals per game | d. | 1.844 goals per
game |
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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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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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17.
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In a class library, 3 out of 5 books are non-fiction.
If there are 45 books
in the library, how many are fiction?
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18.
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Which ratio is greater, 2:3 or 3:5?
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19.
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The ratio  :5, in simplest form, is greater than the ratio 5:7. Find
the missing number.
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20.
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Todd and Andrew have the same number of cards in their collection of hockey and
baseball cards. Todd has 5 hockey cards for every 4 baseball cards. Andrew has 7 hockey cards for
every 5 baseball cards. Who has more hockey cards? Explain.
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21.
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In box A, the ratio of red cubes to total number of cubes is 5:11.
In box B,
the ratio of red cubes to total number of cubes is 9:10.
If the total number of cubes is the same
in each box, which box contains more red cubes? Explain.
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22.
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Find the value of the variable.
6:x = 9:17
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23.
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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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24.
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A cake recipe calls for 700 g flour, 300 g sultanas, 600 g raisins, and 300 g
cherries. a) What is the ratio of
flour to fruit?
b) What is the ratio of sultanas and raisins to
cherries?
c) How much fruit, to the nearest tenth of a kilogram, is
required for 3 kg of flour?
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25.
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Green paint and white paint are to be mixed in the ratio 2:3. a) How many litres of green paint are required
for 24 L of white paint?
b) How many litres of white paint are
required for 14 L of green paint?
c) How many litres of each colour
are required to make 30 L of mixture?
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26.
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In his Marathon of Hope, Terry Fox ran 5373 km in 143 days.
On average, how
far did he run each day?
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27.
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The West Coast Trail on Vancouver Island is a tough 75 km hike.
A group of
hikers took 6 days to hike the trail.
What was the average distance, to the nearest tenth of a
kilometre, covered each day?
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28.
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Bailey ran 5 laps of the track in 17 min. Aileen ran 6 laps in 21 min.
Who,
on average, ran faster? Explain.
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29.
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A 2.4-kg bag of grass seed covers an area of 1200
m2.
a) What area will 1 kg of grass seed
cover?
b) How much grass seed is needed to cover an area of 800
m2?
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30.
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A package of 18 boxes of breakfast-size cereal costs $7.74.
Another package
of 36 boxes of the same cereal costs $11.16.
Which is the better buy? Explain.
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Problem
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31.
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A bag contains red, green, and blue balls in the ratio 8:6:7. a) If there are 32 red balls, how many green
balls and blue balls are in the bag?
b) What is the percent of red
balls in the bag?
Show your work.
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32.
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Darlene sells boxes of balls containing the same ratio of balls in 3 different
colours. The ratio of red to blue to green is always 3:20:15. a) In a box with 100 blue balls, how many red
balls are there?
b) In a box with 60 green balls, how many balls are
in the box?
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33.
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Wallet A contains 36 coins of quarters and loonies in the ratio 2:7.
Wallet B
contains 36 coins of quarters and loonies in the ratio 1:3.
Wallet C contains 36 coins of quarters
and loonies in the ratio 1:5.
Calculate the amount of money in each wallet. Which wallet contains
the greatest amount of money?
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34.
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To make light purple paint, red paint and blue paint have to be mixed in the
ratio 5:6.
Then an equal amount of white paint has to be added.
If Jake has 55 L of white
paint, how much red paint does he need?
Show your work.
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35.
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The length-to-width ratio of a rectangle is 8:5. a) Find the perimeter and area of a rectangle
of width 10 cm.
b) Find the length and width of a rectangle with
perimeter 78 cm.
Show your work.
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36.
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A truck needs 29 L of fuel to travel 377 km.
Can the truck travel 117 km with
9 L of fuel? Explain.
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37.
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A garden is in the shape of a trapezoid. One actual dimension of the garden
and the dimensions of a scale drawing of the garden are shown. a) Find the scale of the
drawing.
b) What is the perimeter of the garden?
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38.
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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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39.
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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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40.
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This table shows the fuel consumption for 4 different cars. Car | Fuel
Consumption | A | 26.4 L/400
km | B | 42.5 L/500
km | C | 25.9 L/350
km | D | 43.2 L/450
km | | |
a) Express
each fuel consumption in L/100 km. Which car is the most fuel efficient?
b) How much fuel would each car need to travel
900 km?
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