Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

Write the ratio 9:12 as a fraction.


2.

Write the parttowhole ratio 12:13 as a fraction.


3.

Write the parttowhole ratio 7:16 as a percent.
a.  43.75%  b.  0.4375%  c.  56.25%  d.  77.78% 


4.

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 


5.

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 


6.

Write the ratio 16:24 in simplest form.


7.

Write the ratio 35:7 in simplest form.


8.

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 


9.

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?


10.

Find the value of the variable. 8:7 = p:56


11.

Find the value of the variable. 33:f = 12:20


12.

Find the value of the variable. 18:12 = 30:w


13.

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 


14.

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 


15.

Tomatoes cost $2.80 for 2 kg. How many kilograms of apples can you buy with
$7.00?

Short Answer


16.

Marty has 3 white Tshirts, 2 coloured Tshirts, and 4 sweaters. What is the
ratio of Tshirts to sweaters?


17.

In a class library, 3 out of 5 books are nonfiction. If there are 45 books
in the library, how many are fiction?


18.

Which ratio is greater, 2:3 or 3:5?


19.

The ratio :5, in simplest form, is greater than the ratio 5:7. Find
the missing number.


20.

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.


21.

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.


22.

Find the value of the variable. 6:x = 9:17


23.

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?


24.

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?


25.

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?


26.

In his Marathon of Hope, Terry Fox ran 5373 km in 143 days. On average, how
far did he run each day?


27.

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?


28.

Bailey ran 5 laps of the track in 17 min. Aileen ran 6 laps in 21 min. Who,
on average, ran faster? Explain.


29.

A 2.4kg bag of grass seed covers an area of 1200
m^{2}. a) What area will 1 kg of grass seed
cover? b) How much grass seed is needed to cover an area of 800
m^{2}?


30.

A package of 18 boxes of breakfastsize cereal costs $7.74. Another package
of 36 boxes of the same cereal costs $11.16. Which is the better buy? Explain.

Problem


31.

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.


32.

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?


33.

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?


34.

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.


35.

The lengthtowidth 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.


36.

A truck needs 29 L of fuel to travel 377 km. Can the truck travel 117 km with
9 L of fuel? Explain.


37.

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?


38.

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?


39.

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


40.

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?
