Unit Rates & Better Buys — Drills
Unit Rates & Better Buys has 5 drill skills. Each one generates fresh questions every time, with a hint and full worked steps, so you can keep practising a single skill until it settles.
What these drills cover
These questions use 2 ideas from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Rate — A ratio of two different units, like miles per hour or dollars per pound.
- Better buy — The option with the lower unit price.
Rate
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
A total of 560 miles in 7 hours. Find the rate in miles per hour.
Worked answer
80
560 ÷ 7 = 80
Problem 2
A total of 84 litres in 6 minutes. Find the rate in litres per minute.
Worked answer
14
84 ÷ 6 = 14
Price
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
10 items cost $4.00. Find the price of one.
Worked answer
0.4
4.00 ÷ 10 = 0.40
Problem 2
8 items cost $4.00. Find the price of one.
Worked answer
0.5
4.00 ÷ 8 = 0.50
Better
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
A 12 oz jar costs $2.40; a 18 oz jar costs $4.14. Which is the better buy?
- The 12 oz jar
- The 18 oz jar
- They are the same
- Cannot tell
Worked answer
The 12 oz jar
12 oz: 0.200 per ounce
18 oz: 0.230 per ounce
The lower price per ounce wins
Problem 2
A 10 oz jar costs $2.50; a 16 oz jar costs $3.52. Which is the better buy?
- The 10 oz jar
- The 16 oz jar
- They are the same
- Cannot tell
Worked answer
The 16 oz jar
10 oz: 0.250 per ounce
16 oz: 0.220 per ounce
The lower price per ounce wins
Apply
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
At 34 miles per hour, how far in 7 hours?
Worked answer
238
34 × 7 = 238
Problem 2
At 48 miles per hour, how far in 6 hours?
Worked answer
288
48 × 6 = 288
Converting units
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
How many metres are in 6 kilometres?
Worked answer
6000
6 × 1000 = 6000
Problem 2
How many metres are in 500 centimetres?
Worked answer
5
500 ÷ 100 = 5