Numeracy Intermediate November 2021 Unit 1 Q3
3.
(a)
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
The following advertisement appeared in the Draig Newsletter.
| Mr Chen’s guitar lessons. A single lesson costs £23. Pay in advance for 5 lessons and get 15% off the cost of these 5 lessons. |
Rowena has a guitar lesson with Mr Chen.
She then decides to pay in advance for a further 5 lessons.
How much does Rowena pay in total for these 6 guitar lessons? [4 + 2 OCW]
(b) Dafydd wants to learn to play the saxophone.
Saxophone lessons will cost him a total of £300.
He needs to pay a deposit of £18 to book the lessons.
Saxophone lessons will cost him a total of £300.
He needs to pay a deposit of £18 to book the lessons.
What percentage of the total cost of the lessons is the deposit? [2]
| Scheme | Marks | Comments |
|---|---|---|
| (Total cost of 6 guitar lessons is) 5 × 23 – 5 × 0.15 × 23 + 23 (= 115 – 17.25 + 23) or 6 × 23 – 5 × 0.15 × 23 (= 138 – 17.25) or 5 × 0.85 × 23 + 23 (= 97.75 + 23) | M3 | Accept methods that show equivalents, e.g. 10% + ½ of 10% (= 11.5(0) + 5.75 = 17.25). M2 for any one of the following costs of 5 guitar lessons
M1 for any one of the following
|
| (Cost of 6 guitar lessons is) (£)120.75 | A1 | CAO If no marks, award SC1 for understanding the full process required (5 × 23 – 15% of 5 × 23 + 23), but are unable to apply a correct method to calculate either 15% or 85% of 23 or a multiple of 23, provided there is an attempt at deriving an amount for 15% or 85%. (Note: 5 × 23 – 15 + 23 is SC0) |
| 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. |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{18}{300}\) ( × 100) | M1 | Accept, e.g.
Do not allow choice of 18/300 or 300/18 |
| 6(%) | A1 | A0 if an incorrect unit is given |