Foundation June 2024 Paper 1 Q12
12 Two bags, X and Y, each contain coloured discs.
In bag X, \(\dfrac{7}{20}\) of the discs are red.
In bag Y, \(\dfrac{2}{5}\) of the discs are red.
Which bag has the greater proportion of red discs, X or Y?
You must show your working. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| Two comparable values and Y | B2 | B1 attempts to convert both to comparable form with at least one non-given value correct eg \(\left(\dfrac{7}{20} \text{ and}\right) \dfrac{8}{20}\) or \(\dfrac{1.75}{5} \left(\text{and } \dfrac{2}{5}\right)\) or 0.35 and 0.4 or 35% and 40% or two values in the ratio 7 : 8 |
Additional guidance
| Accept two comparable values for “not red” \(\dfrac{13}{20}\) and \(\dfrac{12}{20}\) and Y \(\dfrac{13}{20}\) and \(\dfrac{12}{20}\) \(\dfrac{13}{20}\) only | B2 B1 B0 |
| Two comparable values and \(\dfrac{2}{5}\) on answer line 35% and 40%, answer 40% (implies bag Y) | B2 B2 |
| 8 and Y | B2 |
| 200 discs in each bag, 70 and 80, answer Y 200 discs in each bag, 70 (one non-given value correct) 70 and 50 (number of discs in each bag not specified) | B2 B1 B0 |
| 35% and 20% (attempt to convert each to a percentage) 35% only | B1 B0 |