Foundation June 2022 Paper 1 Q11
11.
(a)
There are five children in the Cooke family.
Two of the children are the same age, the other children are different ages.
The range of their ages is 5 years.
The mode of their ages is 14 years.
The youngest child is 12 years old.
Find one possible solution for the ages of the other four children. [2]
The ages could be 12, ……… , ……… , ……… , ………
(b)
Mr Cooke takes his children out for lunch.
The list below shows the food they order.
| 1 Mega Burger | £8.99 |
| 1 Vegan Burger | £7.25 |
| 1 Chicken Burger | £8.99 |
| 1 Regular Burger | £6.30 |
| 1 Fish Pie | £9.90 |
| 1 Vegetarian Lasagne | £6.80 |
When he pays the bill, Mr Cooke uses this special offer.
| Buy any 4 burgers and get the 2 cheapest free |
Estimate the total amount of Mr Cooke’s bill.
Give your answer correct to the nearest pound.
You must show all your working. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 12, 13, 14, 14, 17 OR 12, 14, 14, 15, 17 OR 12, 14, 14, 16, 17 | B2 | Ages can be in any order for B2 B1 for a correct interpretation of the range or mode si e.g. eldest child 17 indicated and no child younger than 12 given (range) or more than 1 child aged 14 indicated and no other mode (mode) |
| Scheme | Marks | Comments |
|---|---|---|
| Uses only the cost of 1 Mega Burger, 1 Chicken Burger 1 Fish Pie, 1 Vegetarian Lasagne | B1 | e.g. does not include the £7(.25) and £6(.30) in their calculation for the bill |
| Uses an appropriate calculation e.g. 9 + 9 + 10 + 7 or 48 – 7 – 6 or 50 – 8 – 7 | M1 | FT ‘their 4 list choices’; allow one incorrect estimate out of 4 or 6 e.g. 9 + 9 + 9 + 7 or 9 + 7.20 + 9 + 6.30 + 9.90 + 6.80 allow e.g. 9 + 7 + 9 + 6 + 10 + 7 OR rounding to the nearest 10p e.g. 9 + 9 + 9.9 + 6.8 or 9 + 7.30 + 9 + 6.30 + 9.90 + 6.80 OR rounding to the nearest 50p e.g. 9 + 7.50 + 9 + 6.50 + 10 + 7 |
| (£)35(.00) | A1 | CAO; does not imply M1; not from wrong working if B0 M1 award SC1 for (£)35(.00) (from e.g. 9 + 7 + 9 + 10 discarding the two cheapest items) or for (£)48(.00) (from e.g. 9 + 7 + 9 + 6 + 10 + 7) or for (£)49(.00) (from 9 + 7.50 + 9 + 6.50 + 10 + 7) |
| (5) |