1MA0 Foundation June 2012 Paper 1 Q17
*17 Debbie, Salma and Wendy did a Maths test.
The total for the test was 40 marks.
Debbie got 16 out of 40
Salma got 35% of the 40 marks.
Wendy got \(\frac{3}{8}\) of the 40 marks.
Who got the highest mark?
You must show all your working. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| S: \(35 \div 100 \times 40 = 14\) W: \(40 \div 8 \times 3 = 15\) OR D: \(16 \div 40\) (\(\times 100\)) = 0.4 (40%) W: \(3 \div 8\) (\(\times 100\)) = 0.375 (37.5%) OR D: \(\frac{16}{40} = \frac{80}{200}\) S: \(\frac{35}{100} = \frac{70}{200}\) W: \(\frac{3}{8} = \frac{75}{200}\) | Debbie and correct calculations | 4 | Compares Marks out of 40 or fractions with denominator of 40 M1 for \(35 \div 100 \times 40\) oe or 14 seen (or 14/40 seen) M1 for \(40 \div 8 \times 3\) or 15 seen (or 15/40 seen) A1 for 14 and 15 or \(\frac{14}{40}\) and \(\frac{15}{40}\) C1 (dep on M1) for correct conclusion for their working QWC with 3 comparable marks: Decision and justification should be clear with working clearly presented and attributable. OR Decimals (or Percentages) M1 for \(16 \div 40\) (\(\times 100\)) oe or 0.4 (or 40) seen M1 for \(3 \div 8\) (\(\times 100\)) oe or 0.375 (or 37.5) seen A1 for 0.4 and 0.375 (or 40 and 37.5) C1 (dep on M1) for correct conclusion for their working QWC: with 3 comparable decimals (or percentages: Decision and justification should be clear with working clearly presented and attributable. OR Compares Fractions with denominator other than 40 M1 for attempt to convert all to fractions with a common denominator other than 40 M1 for at least 1 correct A1 for \(\frac{80}{200}\) and \(\frac{70}{200}\) and \(\frac{75}{200}\) oe C1 (dep on M1) for correct conclusion for their working QWC with 3 comparable fractions: Decision and justification should be clear with working clearly presented and attributable. |