Higher June 2025 Paper 3 Q9
9 Ary, Bea and Cat each have an amount of money.
Cat has £280
- Cat’s amount is \(\dfrac{2}{3}\) of Bea’s amount.
- Ary’s amount : Bea’s amount = 5 : 12
Work out how much money Ary has. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1: works with the amount first | ||
| \(280 \div 2 \times 3\) or 420 | M1 | oe |
| their \(420 \div 12 \times 5\) | M1dep | oe eg \(35 \times 5\) their 420 cannot be 280 |
| 175 | A1 | SC2 77.77 or 77.78 |
| Alternative method 2: works with the ratio first | ||
| \(\dfrac{2}{3} \times 12\) or 8 | M1 | oe may be embedded in a ratio |
| \(280 \div\) their \(8 \times 5\) | M1dep | oe eg \(35 \times 5\) |
| 175 | A1 | SC2 77.77 or 77.78 |
Additional guidance
| Up to M2 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| SC2 is for using \(\dfrac{2}{3}\) of Cat’s amount | |
| 5 : 12 : 8 in any order | M1 |