Numeracy Foundation November 2021 Unit 1 Q7
7.
(a)
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.
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]
(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.
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) |
| 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 |