Foundation November 2021 Paper 1 Q17
17 Heidi wants to make some biscuits using this recipe.
| Makes 12 biscuits |
|---|
| 125 g butter 200 g flour 50 g sugar |
Heidi thinks that she has,
500 g butter
700 g flour
250 g sugar
Assuming that these weights are correct,
(a) work out the greatest number of biscuits Heidi can make.
You must show all your working. (4)
You must show all your working. (4)
Heidi is wrong.
She has more than 250 g of sugar.
(b) Does this affect the greatest number of biscuits Heidi can make?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 42 | P1 | for a correct start to the process by finding the number of batches for one ingredient, eg \(500 \div 125\ (= 4)\) or \(700 \div 200\ (= 3.5 \text{ or } 3)\) or \(250 \div 50\ (= 5)\) OR for a correct start to building up number of batches of all ingredients, eg (24 biscuits or 2 batches =) 250 (butter), 400 (flour) and 100 (sugar) OR for a start to the process by finding the amount of one ingredient needed to make 1 biscuit, eg \(125 \div 12\ (= 10\tfrac{5}{12})\) or \(200 \div 12\ (= 16\tfrac{8}{12})\) or \(50 \div 12\ (= 4\tfrac{2}{12})\) |
| P1 | for a correct process to find the number of batches for all 3 ingredients, eg \(500 \div 125\ (= 4)\) and \(700 \div 200\ (= 3.5 \text{ or } 3)\) and \(250 \div 50\ (= 5)\) OR for a build-up process reaching a point where there is not enough of one ingredient, eg (36 biscuits or 3 batches =) 375 (butter), 600 (flour) and 150 (sugar) or (48 biscuits or 4 batches =) 500 (butter), 800 (flour) and 200 (sugar) OR for a correct process to find the amount of each ingredient needed to make 1 biscuit, eg \(125 \div 12\ (= 10\tfrac{5}{12})\) and \(200 \div 12\ (= 16\tfrac{8}{12})\) and \(50 \div 12\ (= 4\tfrac{2}{12})\) | |
| P1 | (dep on P2) for a process to find the number of biscuits, eg \(\text{``}4\text{''} \times 12\ (= 48)\) or \(\text{``}3.5\text{''} \times 12\ (= 42)\) or \(\text{``}3\text{''} \times 12\ (= 36)\) or \(\text{``}5\text{''} \times 12\ (= 60)\) OR (dep on P2) for \((700 - 600) \div 200 \times 12\ (= 6)\) or \(\text{``}3\text{''} \times 12\ (= 36)\) OR (dep on P2) for a process to find the number of biscuits, eg \(500 \div \text{``}10\tfrac{5}{12}\text{''}\ (= 48)\) or \(700 \div \text{``}16\tfrac{8}{12}\text{''}\ (= 42)\) or \(250 \div \text{``}4\tfrac{2}{12}\text{''}\ (= 60)\) | |
| A1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | (dep on P3) for a correct explanation, ft (a) for the critical ingredient identified Acceptable examples No, since flour is the critical value No, since flour gives you the least number of batches No since she needs more flour to make more biscuits. Not acceptable examples Yes … No (no reason given) No, since we would need more of the other ingredients too |