Higher June 2025 Paper 3 Q15
15 Amy and Becky each make integers using three single digits.
In any integer, digits may be repeated.
- Amy makes even integers with a first digit greater than 7
- Becky makes odd integers with a first digit that is non-zero.
They each make as many different integers as possible.
How many more integers than Amy does Becky make? [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| (Amy) \(2 \times 10 \times 5\) with at least one correct or 100 | M1 | must be product of three integers |
| (Becky) \(9 \times 10 \times 5\) with at least one correct or 450 | M1 | must be product of three integers |
| 350 | A1 |
Additional guidance
| \(2 + 10 + 5\) | M0 |
| Use of fractions, decimals or percentages is M0 unless recovered |