Numeracy Foundation November 2024 Unit 1 Q2
2. Kiera goes to the cinema with her friend.
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
A ticket bought at the cinema costs £4.50.
Kiera decides to buy the 2 tickets online in advance.
When she buys the tickets online:
- she is given 10% off the cost of each ticket
- she has to pay a total booking fee of £1.40.
How much does Kiera pay in total for the 2 tickets? [4 + 2 OCW]
The position of each seat in the cinema is given by a code, for example, seat E5.
Each row of seats is labelled with a letter, A, B, C, D, E, F, G and H.
Each row starts with seat number 1.
Seats A1 and A2 have already been booked.
This is shown by the crosses on the diagram.
Kiera books seats G9 and G10 for herself and her friend.
Draw a cross on each of these 2 seats on the diagram below. [1]
When Kiera arrives at the cinema, she sees the following prices advertised.
| Drinks | Snacks | ||
|---|---|---|---|
| Small soft drink | £2.99 | Regular popcorn | £4.95 |
| Regular soft drink | £3.29 | Large popcorn | £5.45 |
| Large soft drink | £3.59 | Nachos | £6.00 |
| Hot dog | £5.60 | ||
| Combos | |||
|---|---|---|---|
| Classic Combo: (regular soft drink & regular popcorn) | £6.99 | Deluxe Combo: (large soft drink & large popcorn) | £7.60 |
Kiera decides to buy the Deluxe Combo.
How much will Kiera save by buying the Deluxe Combo instead of buying a large soft drink and a large popcorn separately? [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Amount of discount for 1 ticket =) (£)0.45 or 45(p) OR (Amount of discount for 2 tickets =) (£)0.9(0) or 90(p) | B1 | If units are given, they must be correct Workings may be seen in stages Award B1 for (£)0.9(0) or 90(p) seen as the total discount |
| (Cost of tickets =) 2 × (£)4.50 – 2 × (£)0.45 + (£)1.40 (9 – 0.90 + 1.40) Or 2 × (£)4.50 – 2 × 0.1 × (£)4.50 + (£)1.40 Or equivalent | M2 | FT ‘their derived or stated (£)0.45 or (£)0.9(0)’ Award M1 for:
|
= (£)9.50 | A1 | FT from M2 or M1 (Answers from M1: (£)8.10, (£)9.95, (£)5, (£)5.45 (£)10.90, (£)10.40) If the discount is applied at the end: Award M1 for 2 x £4.50 + £1.40 Award A1 for £10.40 Award SC1 for an answer of £9.36 (from £10.40 – 0.1 x £10.40 = £10.40 – £1.04) FT for SC1 for 0.9 × ‘their 10.40’ correctly evaluated provided M1 awarded If the booking fee is added to the cost of each ticket and the discount is applied at the end: Award M1 for: 2 x (£4.50 + £1.40) – 0.1 x 2 x (£4.50 + £1.40) Or £11.80 - £1.18 Award A1 for £10.62 If no marks awarded, award SC1 for (£)9 seen |
| 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. |
Corrected by Westie's Workshop
- The board's mark scheme printed “2 x (£4.50 + £1.40) – 0.1 x (£4.50 + £1.40)”. Changed to “2 x (£4.50 + £1.40) – 0.1 x 2 x (£4.50 + £1.40)” because the next line, £11.80 - £1.18, takes 10% off both tickets, so the discount term needs “2 x” as well.
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
Seats G9 and G10 indicated on diagram | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (£)3.59 + (£)5.45 | M1 | No misread allowed |
(£)9.04 | A1 | CAO |
| (£)9.04 – (£)7.60 | M1 | FT ‘their derived or stated 9.04’ provided ‘their 9.04’ > 7.60 |
(£)1.44 | A1 |