Foundation November 2022 Paper 3 Q15
15 2.5 kg of onions and 2 kg of carrots cost a total of £2.36
3 kg of carrots cost £1.74
Stuart has £2
He wants to buy 4 kg of onions.
Does Stuart have enough money to buy 4 kg of onions?
You must show how you get your answer. (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| Yes (supported) | P1 | for finding the cost of 1 kg of carrots eg \(1.74 \div 3\ (= 0.58)\) |
| P1 | for isolating the cost of 2.5 kg of onions eg \(2.36 - (2 \times \text{``}0.58\text{''})\ (= 1.2(0))\) | |
| P1 | for the cost of 1 kg of onions or 0.5 kg of onions, eg \(\text{``}1.20\text{''} \div 2.5\ (= 0.48)\) or \(\text{``}1.20\text{''} \div 5\ (= 0.24)\) or for \(4 \div 2.5\ (= 1.6)\) | |
| P1 | for the cost of 4 kg of onions, eg \(4 \times \text{``}0.48\text{''}\) or \(8 \times \text{``}0.24\text{''}\ (= 1.92)\) or for \(\text{``}1.6\text{''} \times \text{``}1.2(0)\text{''}\) | |
| C1 | Yes with correct figures shown eg 192 or 1.92 or “has 8p left” or 166.5 | |
| Alternative | ||
| P1 | for finding the cost of 1 kg onions eg \(2.(00) \div 4\ (= 0.5)\) | |
| P1 | for finding the cost of 2.5 kg of onions eg \(2.5 \times \text{``}0.5\text{''}\ (= 1.25)\) | |
| P1 | for finding the cost of 2 kg of carrots eg \(2.36 - \text{``}1.25\text{''}\ (= 1.11)\) | |
| P1 | for finding the cost of 3 kg of carrots eg \(\text{``}1.11\text{''} \div 2 \times 3\ (= 1.665)\) for comparison with 1.74 | |
| C1 | Yes with correct figures shown eg 192 or 1.92 or “has 8p left” or 166.5 |
Additional guidance
for all P marks can work in pence or in £
C1: Allow comparison of mixed units eg 192 with £2