Numeracy Intermediate November 2019 Unit 2 Q7
7.
Arianna’s pizzeria
All pizzas £8.80 each
Special offers
Buy 1 pizza, get 1 pizza free OR 35% off the price of every pizza
(a)
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Lowri orders 3 pizzas.
She wants to pay the least amount possible.
Which offer should Lowri ask for?
Buy 1 pizza, get 1 pizza free ☐ 35% off the price of every pizza ☐
You must give the total cost of each of the offers.
You must show all your working. [5 + 2 OCW]
(b) Noah wants to order 10 pizzas.
Explain why ‘buy 1 pizza, get 1 pizza free’ would be the better of the 2 offers.
Do not use any calculations. [1]
Explain why ‘buy 1 pizza, get 1 pizza free’ would be the better of the 2 offers.
Do not use any calculations. [1]
| Scheme | Marks | Comments |
|---|---|---|
| (Buy 1 get 1 free, cost of 3 pizzas) (£)17.6(0) | B1 | |
| (35% off 3 pizzas) 3 × 8.8(0) - 0.35 × 3 × 8.8(0) or 0.65 × 3 × 8.8(0) | M3 | M2 for sight of
|
| (£)17.16 and selecting ‘35% off’ | A1 | CAO for (£)17.16 with a conclusion, but FT conclusion from ‘their £17.60’ with (£)17.16 comparison |
| 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 |
|---|---|---|
| Explanation, e.g. ‘(even number of pizzas gives) 50% off (which is better than 35%)’, ‘50% off (is better than 35% off)’, ‘with an even number of pizzas he will get half of them free (which is more than 35% free)’ | E1 | Accept explanation based on a different even number pizzas, including buying 20 getting 10 free Allow, e.g. ‘he would (only) pay for 5 pizzas (not 10)’, ‘half of the pizzas are free’ ‘he would (only) pay for half the pizzas’, ‘get 5 pizzas free’, ‘the more pizzas you get, the better this option is’ ‘2 is an even number and goes into 10 exactly’ Do not ignore contradictions |