Ratios
The ratio of Jared’s stamps to Paulo’s stamps is 4 : 7. If Jared has 36 stamps how many stamps does Paulo have?
What is 63
A robot can make 27 toy cars in 9 min. Which of the following is the unit rate for this robot?
What is 3 cars per minute
Delia was paid $35 for 5 h of babysitting. How much should she receive for 3 h?
What is $21.
Honey is sold in the following sizes: $2.79 for 250mL, or 9.59 for 1000mL. What is the unit price of each.
What is:
0.01116
0.00995
In the school choir, the ratio of girls to boys is 17 : 8. What percent of the school choir are boys?
What is 32%
Peter runs 200 m in 30 s, while his sister Eva runs 300 m in 36 s. What is the unit rate for each?
What is:
Peter = 6.6m/s
Eva = 8.3m/s
David can saw a log into three pieces in 7 min. If he continues sawing at a constant rate, how long will it take him to saw a similar log into six pieces?
What is 14 minutes.
Shannon buys 12 granola bars for $9.96. Determine the price per bar.
What is 0.83.
Stephanie counted 20 vehicles in a parking lot. Of these, fi ve were silver, four were blue, two were red, and one was yellow.
What is the ratio of yellow to red to silver vehicles?
What is 1: 2: 5
Each week, Karen earns $420 for 35 h of work at a factory. Her friend Liam makes $440 for 40 h of work at a store. What is the hourly wage for each person?
What is:
Karen = 12$/h
Liam = 11$/h
Use a proportion to solve the question. Use a variable for the unknown quantity.
a) Three bars of soap cost $2.94. What is the cost of eight bars of soap?
What is $7.84
The table shows the price of different-sized packages of mixed nuts. Nut Package Mass Price
1-300g for $2.19
2-500g for $3.09
3-700g for $4.83
What is the unit price per 100 g for each package?
What is:
0.73
0.618
0.69
A mass of 5 g stretches a rubber band by 15 mm. If the rubber band stretches at the same rate, what mass would stretch a rubber band 32 mm?
What is 10.6g.
A football team won 10 of its 18 games and lost the rest.
How many games did the team lose?
What is the team’s win–loss ratio?
What is 8, and 10:8.
What is the unit rate in each?
a) A blue whale eats 8 t of krill in 2 days.
b) The cruising speed of a blue whale allows it to travel 193 km in 10 h.
c) A bull moose bellows 15 times in 2.5 h.
What is:
a) 4t/day
b) 19.3km/h
c) 6 bellows/h
Randi made nine scarves from 4 m of fabric. How many scarves can she make from 28 m of the same fabric?
What is 63 scarves.
Fraser is shopping for milk. It is available in three sizes. $0.59 for 250mL, $1.99 for 500mL, $1.09 for 1L. What is the unit price for each carton of milk?
What is:
a) .0.00236
b) 0.00398
c) 0.00109
Each week, Karen earns $420 for 35 h of work at a factory. Her friend Liam makes $440 for 40 h of work at a store. How much does Liam earn in an 8-h shift?
What is 88$
The following shows the ratio of the cost of a shirt to the cost of a hat and the ratio of the cost of the hat to the cost of a pair of jeans. What is the ratio of the cost of the shirt to the cost of the jeans?
Shirt 5$: Hat 4$
Hat 2$: Jeans 5$
A 1 to 1
B 1 : 2
C 2 to 1
D 9 : 7
What is 1:2
Determine a unit rate in each situation.
a) Steven runs up 300 steps in 6 min.
b) $3.60 is the price of 4 L of milk.
c) A jet travels 2184 km in 3.5 h.
d) A polar bear gains 450 kg in nine years.
What is
a) 50 steps/ min
b) 0.9 cents/ 1L
c) 624km/ h
d) 50kg/ year
At an amusement park, a new thrill ride was introduced. It costs $7.50 for 3 rides on the Wild Slider. What would it cost for 18 rides on Wild Slider?
What is $45.
Express 60 km/h in metres per second.
What is 16.67m/s
Peter runs 200 m in 30 s, while his sister Eva runs 300 m in 36 s. At the same rate, how far will each runner go in 2 min?
What is:
800m
1000m