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Ratios
Unit Rate
Better Buy?
Scales
Word Problems
100
Write 6 girls to 8 boys as a ratio in 3 ways.
6/8, 6 to 8, 6:8
100
If Mimi drives 50 miles in 2 hours, what is her rate (speed per hour)?
What is 25 miles per hour
100
Which is the better buy? 300 ml of sauce for $6.00 or 400 ml of sauce for $8.00.
They are both the same ($0.02 / ml)
100
Write the scale as a ratio in lowest terms. 1 cm represents 1 m.
1:100 (100 cm = 1 m)
100
Anna earns $12 in 3 hours. How much does she make in 5 hours?
What is $20 (12/3=4, 4x5=20)
200
Write 10 limes to 6 lemons as a ratio in 3 ways.
10:6, 10/6, 10 to 6
200
If James types 120 words per 3 minutes, what is his rate of typing?
What is 40 words per minute
200
Which is the better buy? 5 t-shirts for $35.00 or 6 t-shirts for $40.00.
6 t-shirts for $40.00 ($6.67/t-shirt vs $7.00/t-shirt)
200
A drawing of a bird is 2.4 cm and the scale is 1:100. Find the actual height of the bird, in meters.
2.4 m (240 cm)
200
Henry reads 8 pages in 6 minutes, then he reads 4 pages in how many minutes?
What is 3 minutes
300
Solve for X. X:3 = 12:18
X = 2
300
If 10 bags of Hot Cheetos cost $3.50, then how much does 1 cost?
What is $0.35
300
Which is the better buy? 3 bagels for $1.29 or 8 bagels for $2.99.
8 bagels for $2.99 ($0.37/bagel vs. $0.43/bagel)
300
A drawing of a fly is 5.6 cm, and the scale is 8:1. Find the actual length of the fly, in millimeters.
7 mm (0.7 cm)
300
Ramon gets 10 points in 4 games. How many does he get in 6 games?
What is 15 points (10:4 = x:6 --> 10/4 = 2.5, 6 x 2.5 = 15)
400
The ratio of the length of the human body to the length of the head is 8:1. What is the length of the head of a person who is 168 cm tall.
21 cm (168 / 8 = 21)
400
Which is the better deal $20 for 5 t-shirts or $24 for 8 t-shirts
What is $24 for 8 t-shirts (rate of $3 per shirt)
400
Which is the better buy? $13.00 for 10 bus tickets or $4.50 for 3 bus tickets
$13.00 for 10 bus tickets ($1.30/ticket vs. $1.50/ticket)
400
The actual length of a truck is 600 cm. The length of the truck in the scale drawing is 12 cm. What is the scale?
1: 50 (12/600 = 1/50)
400
A 40 m high building casts a 16 m shadow. A 15 m high tree stands next to the building. How long is the shadow of the tree?
6 m (40/15 = 2.66, 16/2.66 = 6)
500
In Canadian federal elections, 3 out of 4 voters usually cast their votes. In a riding with 80 000 voters how many people can be expected to vote?
60 000 voters can be expected to vote
500
What is a unit rate?
a ratio comparing terms in different units where the second number is 1
500
Which is the better buy? 8 chocolate bars for $1.89 or 12 for $2.89
8 chocolate bars for $1.89 (o.23/bar vs. 0.24/bar)
500
The actual height of a building is 130 m. The scale is 1:2000. What is the height of the drawing?
6.5 cm (6.5/13000 = 1/2000)
500
On a map, the distance from Montreal to Berlin is 7.5 cm. The scale is 1: 80 000 000. Calculate the actual distance, in kilometers.
6000 km (100 cm = 1 m, 1000 m = 1 km, 100 x 1000 = 100 000 cm = 1 km... 80 000 000/100 000 = 800 km...so 800 x 7.5 = 6000 km)