Module 8 · Practice
Practice questions
Three difficulty levels. Have a proper go before checking the answers.
Section A — Easy
Warm-up
Simplify these ratios:
Share £45 in the ratio 2 : 3.
4 apples cost £1.20. How much do 7 apples cost?
For the data 4, 7, 7, 9, 13:
In a class of 36 students, 12 like maths best. Find the angle for "maths" on a pie chart.
Section B — Medium
Typical Year 8 standard
Share 144 sweets in the ratio 5 : 7.
Best buy. Cereal A: 400g for £2.40. Cereal B: 600g for £3.30. Which is better value?
Find the mean of this frequency table:
| Score (x) | Frequency (f) |
|---|---|
| 0 | 2 |
| 1 | 5 |
| 2 | 8 |
| 3 | 4 |
| 4 | 1 |
5 miles ≈ 8 km. Use direct proportion to convert:
120 people are surveyed about transport. 50 walk, 30 cycle, 25 take the bus, 15 drive. Find the angles for a pie chart.
Section C — Hard
Challenge / problem-solving
Three siblings share an inheritance in the ratio 2 : 3 : 5. The eldest gets £15 000 more than the youngest. How much was the total inheritance?
For this data, the mean is 4. Find the missing frequency f.
| x | Frequency |
|---|---|
| 2 | 3 |
| 3 | 5 |
| 4 | 4 |
| 5 | f |
| 6 | 2 |
A recipe for 4 people uses 320g of flour. Adapt it for 7 people.
Pie chart shows favourite drinks for 60 students. The angle for tea is 96°. How many students chose tea?
Two numbers are in the ratio 4 : 7. If 6 is added to each, the ratio becomes 5 : 8. Find the original numbers.