Higher June 2024 Paper 1 Q9
9 In a house
- the floor area of the living room is \(26\ \text{m}^2\)
- the floor area of the kitchen is \(16.4\ \text{m}^2\)
Express the area of the living room as a fraction of the area of the kitchen.
Give your answer in its simplest form. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{26(.0)}{16.4}\) | M1 | oe eg \(\dfrac{13}{8.2}\) or \(1\dfrac{9.6}{16.4}\) |
| \(\dfrac{260}{164}\) or \(1\dfrac{96}{164}\) | A1 | oe with no decimals eg \(\dfrac{130}{82}\) or \(\dfrac{2600}{1640}\) implied by correct answer |
| \(\dfrac{65}{41}\) or \(1\dfrac{24}{41}\) | B1ft | ft correct simplification of their fraction using the digits 26 and 164 SC2 \(\dfrac{41}{65}\) SC1 \(\dfrac{65}{106}\) (total area as denominator) |
Additional guidance
| Ignore units | |
| Ignore an incorrect conversion of \(\dfrac{65}{41}\) to a mixed number | M1A1B1 |
| \(\dfrac{26(.0)}{16.4} = \dfrac{2600}{164} = \dfrac{650}{41}\) | M1A0B1ft |