Grade 6

Rates and ratios

Comparing amounts. Part of below zero and beyond.

Rates and ratios

Comparing amounts · Alberta Grade 6 · maddyhelps.com

Name
Date

Juice is mixed 1 can of concentrate to 4 cans of water. Fill in the table so every column is the same mix. Then find each unit rate — the amount for one.

Concentrate	1	2	3		6
Water	4			20

The ratio of girls to boys in a class is 3 : 2. There are 15 girls. How many boys?

A heart beats 36 times in 30 seconds. How many beats per minute?

A car goes 240 km on 20 L of gas. How many kilometres per litre?

Which trip is faster: 150 km in 2 hours, or 220 km in 3 hours?

Apples: 6 for $4.20 or 10 for $6.50. Which is cheaper per apple?

For the grown-up

Rates and ratios

Concentrate 1, 2, 3, 5, 6; water 4, 8, 12, 20, 24. Boys: 10. Heart: 72 beats per minute. Car: 12 km per litre. Trips: 75 km/h against 73.3 km/h, so the first is faster. Apples: $0.70 each against $0.65 each, so 10 for $6.50 is cheaper.

The trips are the one worth talking about: 220 km sounds faster than 150, but it took an extra hour. Comparing per one hour is the whole idea of a unit rate.

Why this matters is on the below zero and beyond page. More sheets