Higher November 2023 Paper 6 Q5
5 A sheet of A4 card weighs \(1.19 \times 10^{-2}\) kg.
(a) Work out the weight of 500 sheets of the A4 card. [2]
(b) Card is classified using \(W\), the weight in grams per square metre (gsm).\[W = \frac{\text{weight in grams}}{\text{area in square metres}}\]
A sheet of A4 card is a rectangle that is 21 cm by 29.7 cm.
Calculate \(W\) for this A4 card. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 5.95 | 2 | M1 for \(500 \times 1.19 \times 10^{-2}\) oe | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 190.7 to 190.8 or 191 nfww | 4 | M1 for \(1.19 \times 10^{-2} \times 1000\) soi 11.9 [g] M1 for 0.21 × 0.297 oe soi 0.06237 or 0.0624 M1 for \(\dfrac{\text{figs } 119}{\text{figs } 21 \times \text{figs } 297}\) or \(\dfrac{\text{figs } 119}{\text{figs } 6237}\) or \(\dfrac{\text{figs } 119}{\text{figs } 624}\) | First two M1 marks may be seen as part of an embedded calculation e.g. [0.06237 =] 21 × 29.7 ÷ 100 ÷ 100 |