EXPRESSING QUANTITIES AS RATIO WORKSHEET

Express the following as Ratio

Problem 1 :

Express as a ratio.

a)  $8 is to $5

b)  7 mL is to 13 mL

c)  5 kg is to 2 kg

Solution

Problem 2 :

a)  65 g is to 1 kg

b)  87 pence is to £1.00

c)  5 months is to 2 years

Solution

Problem 3 :

Write as a ratio.

a)  Peter has $11 and Jacki has $9.

b)  In a theatre, there are 3 girls for every boy.

c)  The school spent €5 on volleyball equipment for every €1 on table tennis equipment.

d)  There are 2 Japanese made cars for every 5 European made cars.

e)  For every 15 km that you travel by car, I can travel 4 km by bicycle.

Solution

Problem 4 :

1)

2)

3)

4)

5)

Solution

Problem 5 :

Meg is speedwalking at a pace of 5 meters every 2 seconds. Sean’s pace is 10 meters every 5 seconds. Are they speedwalking at the same pace? If not, who is faster?

Solution

Problem 6 :

You are kayaking at a pace of 63 feet every 12 seconds. Your friend’s pace is 21 feet every 3 seconds. Are you and your friend kayaking at the same pace? If not, who is faster?

Solution

Problem 7 :

Twelve of the 28 students in a class own a dog. What is the ratio of students who own a dog to students who do not? 

Solution

Problem 8 :

Fill in the blank so that the ratios are equivalent.

a)  3 : 9 and 6 : ____

b)  2 : 6 and 8 : ___

c) ___  : 6 and 7 : 2

Solution

Problem 9 :

There are 12 boys and 10 girls in your gym class. If 6 boys joined the class, how many girls would need to join for the ratio of boys to girls to remain the same? Justify your answer

Solution

Problem 10 :

Use the blue and green rectangles.

a. Find the ratio of the length of the blue rectangle to the length of the green rectangle. Repeat this for width, perimeter, and area.

b. Compare your ratios in part (a).

Solution

Express the following ratio in simplest form :

Problem 1 :

Solution

Problem 2 :

34 mm to 1 cm

Solution

Problem 3 :

2 m to 125 cm

Solution

Problem 4 :

24 seconds to 1  1/2 min

Solution

Problem 5 :

2 L to 750 ml

Solution

Problem 6 :

1 week to 3 days

Solution

Problem 7 :

4 weeks to 1 year

Solution

Problem 8 :

250 g to 1 kg.

Solution

Problem 9 :

1.5 kg to 125 g

Solution

Problem 10 :

3 min to 45 seconds

Solution

Problem 11 :

Express in simplest form the ratio of shaded area: unshaded area

Solution

Problem 11 :

There are 45 males and 60 females in a subway car. The subway car travels 2.5 miles in 5 minutes.

a. Find the ratio of males to females.

b. Find the speed of the subway car.

Solution