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


1.

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


2.

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 


3.

The ratios :16 and 5:2 are equivalent. Find the missing number.


4.

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 


5.

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.


6.

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 


7.

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?


8.

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


9.

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 


10.

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 


11.

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 


12.

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 


13.

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 


14.

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 km^{2}?
a.  24 people/km^{2}  c.  122
people/km^{2}  b.  79 people/km^{2}  d.  384
people/km^{2} 


15.

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

Short Answer


16.

Write 3 different ratios using this diagram.


17.

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


18.

Write 2 ratios equivalent to the ratio 8:10.


19.

Shade the grid to show a ratio of 5:7.


20.

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.


21.

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


22.

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?


23.

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?


24.

In a survey, 5 out of 6 nutritionists recommended hot oatmeal for breakfast.
If 300 nutritionists were surveyed, how many recommended hot oatmeal?


25.

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?


26.

A hotel offers a special rate of $104.50 per night, including taxes. How
much does it cost for 6 nights of stay?


27.

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?


28.

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?


29.

Shazia earns $99.60 for working 12 h. Michelle earns $94.60 for working 11 h.
Which job pays more? Explain.


30.

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?

Problem


31.

A box contains 10 chocolate creams, 7 chocolate covered almonds, and 8 chocolate
caramels. a) What is the ratio of
chocolate caramels to noncaramels? b) What chocolate could you eat
to change the ratio of chocolate caramels to noncaramels to 1:2? c)
If you now eat one of each kind of chocolate, what is the new ratio of chocolate caramels to
noncaramels?


32.

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.


33.

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.


34.

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.


35.

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?


36.

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?


37.

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


38.

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.


39.

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.


40.

Jack’s dog will eat two different brands of dog food. Brand A costs
$19.25 for a 7kg bag Brand B costs $46.15 for a 13kg 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.
