Foundation June 2017 Paper 2 Q15
15. A pack of 500 sheets of paper is called a ream.
A ream of paper has a height of 5·3 cm.
Diagram not drawn to scale
(a)
Jazmin would like to stack as many reams as possible in a space that is 1·25 metres high.
How many complete reams of paper could she stack in this space? [3]
(b)
Harry needs 6530 sheets of paper.
He calculates how many reams of paper he needs as follows:
| Calculation: | 6530 ÷ 500 = 13.06 |
| Conclusion: | I need 13 reams of paper. |
Is Harry’s conclusion correct?
You must justify your decision. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 1.25(m) = 125(cm) or 5.3(cm) = 0.053(m) | B1 | Seen or implied |
| 125 ÷ 5.3 or 1.25 ÷ 0.053 or equivalent (=23.58) | M1 | Allow M1 for ‘their height’ ÷ 5.3 with place value errors. |
| 23 (reams) | A1 | CAO |
Alternative
Alternative build up method:
| Scheme | Marks |
|---|---|
| Working with consistent units (cm or m) | B1 |
| Attempts to work in multiples of 5.3 to at least 125(cm) | M1 |
| 23 (reams) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| States or implies ‘No’, with a reason, e.g. No, he needed 14 reams. No, he should have rounded up. No, he hasn’t got enough paper. No, 13 reams is only 6500 sheets. No, he is 30 sheets short. | E1 | |
| (4) |