Higher November 2024 Paper 2 Q19
19 A phone screen is similar to a tablet screen.
Not drawn accurately
The area of the tablet screen is 420 cm\(^2\)
A screen costs £7000 per square metre.
Work out the cost of a screen for the phone. [5 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 : starts by working out area of phone screen | ||
| \(15 \div 6\) or 2.5 or \(6 \div 15\) or 0.4 or \(420 \div 15\) or 28 | M1 | oe |
| \(420 \div (15 \div 6)^2\) or \(420 \times (6 \div 15)^2\) or \(420 \div 15 \times (6 \div 15) \times 6\) or 67.2 | M1dep | oe |
| their \(67.2 \times \dfrac{7000}{100^2}\) | M2dep | oe M1dep their \(67.2 \div 100^2\) or 0.00672 or their \(67.2 \times 7000\) or 470 400 M1 \(\dfrac{7000}{100^2}\) or 0.7 |
| 47(.04) | A1 | SC3 digits 4704 |
| Alternative method 2 : starts by working out cost of tablet screen | ||
| \(420 \times \dfrac{7000}{100^2}\) or 294 | M2 | oe M1 \(420 \div 100^2\) or 0.042 or \(420 \times 7000\) or 2 940 000 or \(\dfrac{7000}{100^2}\) or 0.7 |
| \(15 \div 6\) or 2.5 or \(6 \div 15\) or 0.4 | M1 | oe |
| their \(294 \div (15 \div 6)^2\) or their \(294 \times (6 \div 15)^2\) | M1dep | oe dep on M3 |
| 47(.04) | A1 | SC3 digits 4704 |
Additional guidance
Up to M3 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts