4MA0 Foundation January 2015 Paper 1 Q19
19 Eloy’s height was 125 cm when his age was 7 years.
His height was 153 cm when his age was 12 years.
(a) Work out the percentage increase in Eloy’s height between the ages of 7 and 12 years. (3)
Eloy’s height at the age of 12 years was 85% of his height at the age of 20 years.
(b) Work out Eloy’s height when his age was 20 years. (3)
| Scheme | Marks |
|---|---|
| 153 – 125 or 28 | M1 |
| “28” ÷ 125 (= 0.224) | M1dep |
| 22.4 | A1 |
| (3) |
Notes
A1: cao
Alternative
| Scheme | Marks |
|---|---|
| 153 ÷ 125 (= 1.224) | M1 |
| “1.224” – 1 (= 0.224) | M1dep |
| 22.4 | A1 |
Alternative
| Scheme | Marks |
|---|---|
| 153 ÷ 125 (= 1.224) | M1 |
| “1.224” × 100 (= 122.4) | M1dep |
| 22.4 | A1 |
| Scheme | Marks |
|---|---|
| \(\dfrac{153}{85} \times 100\) or \(\dfrac{153}{0.85}\) oe | M2 |
| 180 | A1 |
| (3) | |
| (6 marks) |
Notes
M2: M1 for \(\dfrac{153}{85}\) or 1.8 or 85% = 153 or \(0.85x = 153\) oe