Numeracy Higher June 2023 Unit 2 Q1
1. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Southend Pier is the longest pleasure pier in the world.
It is 1·34 miles long.
Gareth walks at a steady pace along Southend Pier.
He walks 84 metres every minute.
He starts walking along the length of the pier at 2 p.m.
At what time does Gareth reach the end of the pier?
Give your time correct to the nearest minute.
You must show all your working. [5 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| 1.34 × 8 ÷ 5 or × 1.6 (to convert miles to km) | M1 | May be seen in any order Allow × 1.61 or × 1.609 Do not accept × 1.5 |
| × 1000 (to convert km to m) | M1 | (= 2144 m) Accept embedded ‘× 1000’, e.g. sight of 1340, (1.34 × 1200 =) 1608, (1.34 × 1500 =) 2010 (i.e. × 1500 is awarded M0 M1) |
| ÷ 84 (to find number of minutes) | M1 | (= 25.52…minutes) (Note: sight of ÷ 0.084 is equivalent to × 1000 (M1) and ÷ 84 (M1)) Ignore further incorrect stages of working, provided they do not involve multiplication or division by 1.6, 1000 or 84 |
| (Time correct to the nearest minute) 2(:) 26 p.m. or 14(:)26 | A2 | CAO A2 awarded only if there is no incorrect working Depends on M1 M1 M1 previously awarded, for rounding time to nearest minute and adding to 2 p.m. Allow 2.26 p.m. or 14.26(p.m.) Award A1 for any one of the following:
|
Alternative
1. Alternative method:
| Scheme | Marks | Comments |
|---|---|---|
| 84 ÷ 1.6 (km to miles) ÷ 1000 (metres to km) | M1 M1 | Initial 2 method marks may be in either order Or ÷ 1.61 or ÷ 1.609 ÷ 1500 is M0 M1 |
| 1.34 ÷ (84 ÷ 1.6 ÷ 1000) (time taken) | M1 | |
| (Time correct to the nearest minute) 2(:) 26 p.m. or 14(:)26 | A2 | CAO. Answer space takes precedence A2 awarded only if there is no incorrect working Depends on M1 M1 M1 previously awarded, for rounding time to nearest minute and adding to 2 p.m. Allow 2.26 p.m. or 14.26(p.m.) A1 as shown above FT from M0 M1 M1 and M2 as shown above |
Organisation and communication
| Scheme | Marks | Comments |
|---|---|---|
| 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. |