Higher November 2023 Paper 3 Q5
5 Ali buys packs of balloons and boxes of pencils.
There are 30 balloons in each pack.
There are 24 pencils in each box.
Ali buys exactly the same number of balloons and pencils.
Work out how many packs of balloons and how many boxes of pencils she could have bought.
You must show all your working. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 4 packs and 5 boxes | P1 | for start of a process to find common multiples of 30 and 24, eg writes down at least 3 multiples of 30 and at least 3 multiples of 24 or draws factor trees for both 30 and 24 with no more than 1 error in total or draws a correct Venn diagram |
| P1 | for identifying a common multiple eg 120 or 240 or \(5 \times 3 \times 2 \times 2 \times 2\) oe | |
| A1 | for 4 packs and 5 boxes or any multiple of this pairing eg 8, 10 |
Additional guidance
30, 60, 90, 120, 150, 180, 210, 240 …
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, …
Condone the inclusion of 1 in factor trees or Venn diagrams for this mark
May use any common multiple, 120, 240, 360...
Award 0 marks for a correct answer without correct supportive working.