Numeracy Higher November 2023 Unit 1 Q6
6. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
An old postage stamp has a width of 2 cm and a height of 2·4 cm.
Frank makes a poster that is mathematically similar to the postage stamp, as shown below.
Diagrams not drawn to scale
He places a thin tape along the four edges of the poster.
Calculate the total length of this tape, correct to 1 significant figure.
You must show all your working. [4 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| (Width of poster) 2 × \(\frac{26.4}{2.4}\) or 2 × 11 or equivalent | M1 | |
| 22 (cm) | A1 | Mark final answer for the width of the poster |
| (Perimeter of poster 2 × (22 + 26.4) =) 96.8 (cm) | A1 | FT ‘their 22’ provided M1 previously awarded |
| 100 (cm) | B1 | FT provided 95 < ‘their 96.8’ <100, as 100 correct to 1 significant figure Accept working in mm or m, units must then be given in the final answer Do not accept an unsupported answer of 100 (cm) |
| Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |
6. Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (Perimeter of stamp) 8.8 (cm) AND sight of \(\frac{26.4}{2.4}\) (= 11) or \(\frac{2.4}{26.4}\) (= \(\frac{1}{11}\)) | B1 | |
| (Perimeter of poster) (2 + 2.4 + 2 + 2.4) × \(\frac{26.4}{2.4}\) or 8.8 × \(\frac{26.4}{2.4}\) or 8.8 × 11 or equivalent | M1 | FT ‘their 2 + 2.4 + 2 + 2.4’ |
| 96.8 (cm) | A1 | |
| 100 (cm) | B1 | FT provided 95 < ‘their 96.8’ <100, as 100 correct to 1 significant figure Accept working in mm or m, units must then be given in the final answer Do not accept an unsupported answer of 100 (cm) |