Foundation June 2025 Paper 3 Q16
16 A team plays 48 games.
The team wins \(\dfrac{3}{8}\) of the 48 games.
The number of games the team loses is the same as the number of games the team draws.
Work out the number of games the team loses. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 15 | P1 | for process to find the number of games won, eg \(48 \div 8 \times 3\ (= 18)\) oe or \(48 -\) [games won] or for process to find the fraction of games drawn and lost or lost only, eg \(1 - \dfrac{3}{8}\left(= \dfrac{5}{8}\right)\) oe eg \(1 - 0.375\ (= 0.625)\) or \(\left(1 - \dfrac{3}{8}\right) \div 2\left(= \dfrac{5}{16}\right)\) oe eg \(\dfrac{2.5}{8}\) or for representing the games in a ratio eg 3 : 2.5 : 2.5 oe |
| P1 | for a correct next step, eg \(48 - \text{``}18\text{''}\ (= 30)\) or \(\text{``}\dfrac{5}{8}\text{''} \times 48\ (= 30)\) oe eg \(\text{``}0.625\text{''} \times 48\ (= 30)\) or \(\text{``}\dfrac{2.5}{8}\text{''} \times 48\) or \(48 \div 8 \times 2.5\) oe or 18 : 15 : 15 | |
| A1 | cao |
Additional guidance
[games won] needs to be clearly stated and must be an integer less than 48 and not \(48 \div 8 \times 3\ (= 18)\) oe