Foundation November 2024 Paper 2 Q14
14 Rosa is thinking of a fraction.
The numerator is a cube number less than 100.
The denominator is a square number less than 100.
The fraction is equivalent to \(\dfrac{1}{8}\).
Find the fraction that Rosa is thinking of. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{8}{64}\) cao | 3 | B2 for a fraction with numerator a cube number >1 and denominator a square number as final answer or for \(\dfrac{8}{64}\) seen in workings but not their final answer | Condone \(\dfrac{8}{64} = \dfrac{1}{8}\) on answer line for 3 marks e.g. answers \(\dfrac{27}{36}\), \(\dfrac{64}{25}\) scores B2 |
| OR B1 for a fraction with numerator a cube number >1 or denominator a square number as final answer B1 for answer \(\dfrac{1k}{8k}\) | For B1 allow e.g. \(\dfrac{x}{64}\) or \(\dfrac{\square}{64}\) e.g. answer \(\dfrac{2}{16}\) scores B1B1 Where \(k\) is an integer >1 | ||
| OR B1 for [1,] 8,27,64, [125] B1 for [1,] 4,9,16,25,36,49,64,81,[100] | No other numbers are allowed in these lists | ||