1MA0 Foundation November 2013 Paper 1 Q27
27 Rita is going to make some cheeseburgers for a party.
She buys some packets of cheese slices and some boxes of burgers.
There are 20 cheese slices in each packet.
There are 12 burgers in each box.
Rita buys exactly the same number of cheese slices and burgers.
(i) How many packets of cheese slices and how many boxes of burgers does she buy?
Rita wants to put one cheese slice and one burger into each bread roll.
She wants to use all the cheese slices and all the burgers.
(ii) How many bread rolls does Rita need?
(4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| 20, 40, 60 12, 24, 36, 48, 60 20 = 4×5 = 2×2×5 12 = 4×3 = 2×2×3 | (i) 3 and 5 or any multiple of 3, 5 | 4 | M1 attempts multiples of both 20 and 12 (at least 3 of each shown but condone errors if intention is clear) or identifies 60 or a multiple of 60 M1 (dep on M1) for a division by 20 or 12 or counts up ‘multiples’ or identifies a common mulitple (implied if one answer is correct or answers reversed) A1 cheese slices (packets) 3, burgers (boxes) 5 or any multiple of 3, 5 OR M1 for expansion of either 20 or 12 into factors M1 for demonstration that both expansions include 4 (or 2 × 2) A1 cao for cheese slices (packets) 3, burgers (boxes) 5 |
| (ii) 60 | B1 for 60 or ft from their correct answer to (i) or ft “common multiple” |