Ratios & Ratio Tables — Drills
Ratios & Ratio Tables 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 1 idea from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Ratio — A comparison of two quantities, like 3 cups flour to 2 cups water.
Simplifying
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Write 20 : 28 in its simplest form, as a:b.
Worked answer
5:7
Both divide by 4
5:7
Problem 2
Write 18 : 42 in its simplest form, as a:b.
Worked answer
3:7
Both divide by 6
3:7
Scale
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
A recipe uses 4 cups of flour to 5 eggs. How much flour for 30 eggs?
Worked answer
24
30 ÷ 5 = 6
4 × 6 = 24
Problem 2
A recipe uses 5 cups of flour to 4 eggs. How much flour for 16 eggs?
Worked answer
20
16 ÷ 4 = 4
5 × 4 = 20
Whole
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
A mix is 4 blue to 5 yellow. What fraction of the mix is blue?
Worked answer
4/9
4+5 = 9 parts altogether
4/9
Problem 2
A mix is 5 blue to 4 yellow. What fraction of the mix is blue?
Worked answer
5/9
5+4 = 9 parts altogether
5/9
Share
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Share $90 in the ratio 4:5. How much is the larger share?
Worked answer
50
9 parts, so one part is $10
5 × 10 = $50
Problem 2
Share $45 in the ratio 5:4. How much is the smaller share?
Worked answer
20
9 parts, so one part is $5
4 × 5 = $20
Working backwards
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
A mix is 2 blue to 4 yellow. If there are 10 tins of blue, how many of yellow?
Worked answer
20
10 ÷ 2 = 5
4 × 5 = 20
Problem 2
A mix is 4 blue to 3 yellow. If there are 8 tins of blue, how many of yellow?
Worked answer
6
8 ÷ 4 = 2
3 × 2 = 6