Higher June 2019 Paper 2 Q4
4 A container is in the shape of a cuboid.
The container is \(\dfrac{2}{3}\) full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from the container? (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 8 | P1 | for working with volume of the cuboid, eg \(30 \times 6 \times 19\ (= 3420)\) OR for using \(\dfrac{2}{3}\) with one dimension, eg \(30 \times 2 \div 3\ (= 20)\) |
| P1 | for \(\text{``}3420\text{''} \times 2 \div 3\ (= 2280)\) or \(\text{``}3420\text{''} \div 3\ (= 1140)\) OR \(\text{``}20\text{''} \times 6 \times 19\ (= 2280)\) OR \(\text{``}3420\text{''} \div 275\) (= 12.4… = 12 cups) | |
| P1 | (dep on P2) for \(\text{``}2280\text{''} \div 275\) (= 8(.29...)) or \(\text{``}1140\text{''} \div 275\) (= 4(.14...)) OR \(\text{``}12\text{''} \times 2 \div 3\) OR for \(275 \times 8\ (= 2200)\) or \(275 \times 9\ (= 2475)\) | |
| A1 | cao |
Additional guidance
For P marks, ignore attempts at unit conversion