MPM1DI
1.
Date: ________________________________
Write each ratio in simplest form.
a)
6
b)
15
3 to 18
c)
12 to 2
d)
6:10
e)
56:28
2.
Write as a ratio in simplest form. (You must first write the ratio with the same units.)
a) 1 min to 45 seconds
b) 73 days to 1 year
c)
1 m to 175 cm
3.
Write and equivalent ratio.
a)
4.
b)
25:40
c)
2
d)
8
4
7
Solve for 𝑥.
a)
5.
6:5
𝑥
15
=
3
5
b)
3
𝑥
=
18
24
Write as a unit rate.
a) 120 words typed in 3 minutes
c) $126 for a 6-day car rental
e) 120 hamburgers for 60 people
c)
𝑥: 2 = 10: 5
b)
d)
f)
d)
2.5: 𝑥 = 2: 7
$22.80 for 3 hours of work
jogging 1.8 km in 12 minutes
120 km : 1 hour (km/min)
6.
One year, British Columbia had 6149 police officers and a total population of 3 282 000. Nova Scotia had
1542 police officers and a total population of 900 000. Which province had the greater number of people
for each police officer?
7.
Decide which is the better value. Show all your work.
a) 500 sheets of paper for $9.50 or 2000 sheets for $36.00
b) 90 mL of hand lotion for $4.50 or 0.6 L of hand lotion for $21.00 (note you must change the units)
c) 15 chocolate bars for $10.00 or 25 chocolate bars for $15.50
8.
The highest reported amount of caffeine in a 355 mL can of cola is 45 mg. To the nearest mg, how much
caffeine is present in 500 mL of this cola?
9.
Canada’s Marilyn Bell was the first person to swim across Lake Ontario. She completed the 51.5 km trip
in 21 hours. How fast did she swim? (nearest tenth of a km/h)
10. Twenty four 355 mL cans of juice cost $4.99 and a 2 L container of juice costs $1.49. Which is the better
buy?
11.
A music store’s stock of recorded music includes new releases and top tem hits in the ratio 3 : 5. How
many top ten hits are in a shipment of 800 items
12. John, Sonia and Vanessa each run a house painting business. The following are examples of some of
their charges to customers. What is each person’s hourly rate?
Hours
Worked
3
5
Charge
Hours
Worked
6
12
$40
$60
Charge
$78
$126
Vanessa’s Rates
John’s Rates
Sonia’s Rates
13. Determine the appropriate rate for each graph.
a)
Determine the speed of the runner.
Distance (m)
Tammi’s Run
Time (s)
b)
Determine the cost per person.
Cost ($)
Banquet Hall Rental
Number of People
Hours
Worked
6
12
Charge
$78
$126