4MA0 Higher June 2013 Paper 3 Q9
9 The number of runners in the London Marathon on 25th April, 2010 was 37 527.
Work out an estimate for the number of these runners whose birthday was on that day.
(4)
| Scheme | Marks |
|---|---|
No approximation \(\dfrac{37527}{365}\) or \(\dfrac{37527}{366}\) or \(\dfrac{37527}{365.25}\) or \(\dfrac{37527}{364}\) | M2 |
| 103 | A2 |
| (4) |
Notes
M2: M1 for \(\dfrac{37527}{x}\) where \(356 \leqslant x \leqslant 370\)
A2: Accept 102 if M2 awarded
A1 for \(102.5 \leqslant \text{answer} \leqslant 103.1\)
Alternative – with approximation
| Scheme | Marks |
|---|---|
| \(\dfrac{x}{y}\) or \(x \times \dfrac{1}{y}\) where \(x\) is \(35\,000 \leqslant x \leqslant 40\,000\) AND \(336 \leqslant y \leqslant 400\) | M2 |
| integer in the range 93 − 111 inclusive | A2 |
Notes
M2: M1 for \(\dfrac{x}{y}\) or \(x \times \dfrac{1}{y}\) where either the value of \(x\) or the value of \(y\) is acceptable
The award of any accuracy marks is dependent on the award of M2
A2: A1 for non-integer in the range 93 − 111