Numeracy Higher June 2025 Unit 1 Q5
5. Dafydd and Mia both play musical instruments.
(a) Dafydd and his mum share the cost of buying a saxophone in the ratio 3 : 7.
His mum’s share of the cost is £280.
How much will this saxophone cost to buy? [3]
His mum’s share of the cost is £280.
How much will this saxophone cost to buy? [3]
(b) Mia takes her violin to be valued every year.
This year, it is valued at £660.
The violin has increased in value by 20% from last year.
Calculate how much Mia’s violin was worth last year. [2]
This year, it is valued at £660.
The violin has increased in value by 20% from last year.
Calculate how much Mia’s violin was worth last year. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 10 × 280 ÷ 7 or 3 × 280 ÷ 7 + 280 or 30 × 280 ÷ 70 + 280 or equivalent | M2 | M1 for any one of the following:
|
| (£) 400 | A1 | CAO If no marks, award SC1 for sight of 10 × 280 ÷ 3 (= £933.333…) |
| Scheme | Marks | Comments |
|---|---|---|
| 660 ÷ 1.2 or equivalent | M1 | |
| (£) 550 | A1 | Allow M1 A1 for an answer of (£)550 provided not from incorrect working |