Numeracy Intermediate November 2018 Unit 1 Q12
12.
(a) There is a queue of 96 people waiting to buy concert tickets.
Liam has 8 vouchers to hand out, offering 20% off ticket prices.
He has decided to use a systematic sampling method to select who receives these 8 vouchers.
Liam has randomly selected the 6th person in the queue to receive the first voucher.
Use the table below to give the positions in the queue of the 8 people who would receive vouchers. [2]
| Voucher | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Position in the queue | 6th | …… | …… | …… | …… | …… | …… | …… |
(b) Gerallt used his 20% off voucher to buy tickets.
He paid £120 for tickets using the voucher.
How much would these tickets have cost Gerallt without a voucher? [2]
He paid £120 for tickets using the voucher.
How much would these tickets have cost Gerallt without a voucher? [2]
Cost without a voucher £ ……………
| Scheme | Marks | Comments | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (96 ÷ 8 =) 12 or 96 ÷ 12 = 8 or 8 × 12 = 96 | B1 | May be implied by consistent position pattern +12 indicated | ||||||||||||||||
| B1 | CAO Sight of 12 for voucher 2 with no further working or entries is B0, B0 |
| Scheme | Marks | Comments |
|---|---|---|
| 100 × 120 ÷ 80 or equivalent | M1 | |
| (£) 150 | A1 |