1MA0 Foundation June 2015 Paper 1 Q26
26 John buys some boxes of pencils and some packets of pens for people to use at a conference.
There are 40 pencils in a box.
There are 15 pens in a packet.
John gives one pencil and one pen to each person at the conference.
He has no pencils left.
He has no pens left.
How many boxes of pencils and how many packets of pens did John buy? (3)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| 40, 80, 120 15, 30, 45, 60, 75, 90, 105, 120 \(40 = 2 \times 2 \times 2 \times 5\) \(15 = 3 \times 5\) | 3 and 8 or any multiple of 3, 8 | 3 | M1 for multiples of both 40 and 15 (at least 2 of each shown but condone errors if intention is clear) or \(40 \times 15\) M1 (dep on M1) for a complete method to find a common multiple of 40 and 15, eg sight of 120, 240, 600, condoning one arithmetic error in any lists of multiples shown A1 for 3, 8 or any multiple of 3, 8 OR M1 for factors 2,2,2,5 and factors 3,5 M1 (dep on M1) for a complete method to find a common multiple of 40 and 15 A1 for 3, 8 or any multiple of 3, 8 |