Foundation June 2019 Paper 1 Q9
9. Petra is shopping with 2 of her friends.
She buys a note book and six identical pencils.
The note book costs the same as 2 of the pencils.
Her bill is £16.80.
Petra pays with a £50 note.
She is given £34.20 change.
She tells the shopkeeper,
“You have given me too much change.”
Is Petra correct?
Yes ☐ No ☐
Show how you decide. [1]
The 3 friends go to a café.
Here is part of the menu.
| Drinks | |
|---|---|
| Flat white | £4.25 |
| Latte | £3.95 |
| Americano | £2.95 |
| Tea (per pot) | £3.00 |
| Cakes | |
| Cupcake | £2.00 |
| Cake of the day (per slice) | £4.00 |
| Today only! 3 for 2* on all drinks AND 3 for 2* on all cakes *cheapest drink free and cheapest cake free |
Each of the 3 friends orders one drink and one cake from this menu.
They save a total of exactly £5 using the 3 for 2 offers.
Their bill totals £16.50 after the saving has been taken off.
What drinks and cakes did the 3 friends order?
You must show all your working. [4]
Drinks .............................. , .............................. , ..............................
Cakes .............................. , .............................. , ..............................
| Scheme | Marks | Comments |
|---|---|---|
| (i) 1 + 3 = 4 si or 16.8(0) ÷ 8 (= 2.1(0)) | M1 | |
| 16.8(0) ÷ 4 oe or ‘their 2.1(0)’ × 2 | M1 | NB 16.8(0) ÷ 4 or 16.8(0) ÷ 8 × 2 earns M1M1 |
| (£) 4.2(0) | A1 | CAO |
| (ii) Yes indicated with valid reason/calculation e.g. ‘34.20 + 16.80 = 51’ or ‘34 + 16 = 50’ or ‘50 – 16.80 = 33.20’ or ‘50 – 34.20 = 15.80’ | E1 |
| Scheme | Marks | Comments |
|---|---|---|
| (£5 saving = ) Tea and Cupcake | B1 | May be in working or on answer line provided no contradiction or choice; answer line takes precedence. |
| Appropriate strategy to find the 2 drinks or 2 cakes e.g. at least 2 relevant trials of drinks/cakes or one relevant trial of drinks/cakes and comparison with 16.5(0) or considering how to make the odd 50p or considering the difference between the cost of cakes and the bill to see what drinks are possible | S1 | May be awarded for similar strategies used to find the 3 drinks or 3 cakes using £21.50. |
| 2 Flat whites and 2 Cake of the day slices indicated | B2 | Implies S1; B1 for either 2 Flat whites or 2 Cake of the day slices May be in working or on answer line provided no contradiction no choice; answer line takes precedence. |
| (8) |