Higher June 2022 Paper 1 Q6
6. In a factory, 6 identical machines can make 3000 erasers in 2 hours.
How long would it take 8 of these machines to make 1000 erasers? [3]
| Scheme | Marks | Comments |
|---|---|---|
| 2(h) or 120 (min) × 6 ÷ 3 ÷ 8 oe OR (8 machines 3000 ÷ 2 ÷ 6 × 8 =) 2000 erasers per hour or better | M2 | Operations may be done in any order and in stages For complete correct method e.g. \(\dfrac{2}{3}\div\dfrac{4}{3}\) or \(\dfrac{2}{3}\times\dfrac{3}{4}\) M1 for partial correct method using time and using any two correct operations and no wrong operations OR M1 for 3000 ÷ 2 ÷ 6 × 8 or 3000 ÷ 120 ÷ 6 × 8 oe |
| ½ (hour) or 30 (mins) | A1 | If units are given they must be correct |
Alternative method
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Complete method e.g.
| M2 | Correct step(s) to 1000 and correct step(s) to 8 or e.g.
M1 for finding 1 machine makes 250 erasers per hour or (time needed is to make)1000 ÷ 8 = 125 (erasers per machine) or any one correct step e.g.
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| ½ (hour) or 30 (mins) | A1 | If units are given they must be correct |
| (3) |