Foundation November 2024 Paper 1 Q17
17 Gita wants to make 24 litres of green paint.
She is going to mix blue paint, yellow paint and white paint in the ratio 4 : 3 : 1
She has
12 litres of blue paint
7 litres of yellow paint
5 litres of white paint.
Does Gita have enough blue paint, yellow paint and white paint to make 24 litres of green paint?
You must show how you get your answer. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| No, with correct figures | P1 | for start to process to find amount of each paint colour needed eg \(24 \div (4 + 3 + 1)\ (= 3)\) or 8 : 6 : 2 or for start to process to simplify 12 : 7 : 5 to a ratio that can be compared to 4 : 3 : 1 eg \(12 \div 4\ (= 3)\) or \(7 \div 3\ (= 2.3\ldots)\) or \(5 \div 1\ (= 5)\) |
| P1 | for complete process to find amount of each paint colour needed eg \(\text{``}3\text{''} \times 4\ (= 12)\) and \(\text{``}3\text{''} \times 3\ (= 9)\) and \(\text{``}3\text{''} \times 1\ (= 3)\) or 12 : 9 : 3 or for complete process to cancel 12 : 7 : 5 to a ratio that can be compared to 4 : 3 : 1 eg 12 : 7 : 5 as \(4 : \text{``}\tfrac{7}{3}\text{''} : \text{``}\tfrac{5}{3}\text{''}\) or \(4 : \text{``}2.3\ldots\text{''} : \text{``}1.6\ldots\text{''}\) or 12 : 7 : 5 as \(\text{``}5\tfrac{1}{7}\text{''} : 3 : \text{``}2\tfrac{1}{7}\text{''}\) or \(\text{``}5.14\ldots\text{''} : 3 : \text{``}2.14\ldots\text{''}\) or 12 : 7 : 5 as \(\text{``}2\tfrac{2}{5}\text{''} : \text{``}1\tfrac{2}{5}\text{''} : 1\) or \(\text{``}2.4\text{''} : \text{``}1.4\text{''} : 1\) | |
| C1 | No, with correct figure(s) for comparison. eg No with 12 : 9 : 3 No, 9 litres of yellow needed No with \(4 : 2.3\ldots : 1.6\ldots\) |
Additional guidance
No may be indicated by eg ‘not enough yellow’.