Higher June 2024 Paper 1 Q3
3 The diagram shows a plan of a floor.
Petra is going to cover the floor with paint.
Petra has 3 tins of paint.
There are 2.5 litres of paint in each tin.
Petra thinks 1 litre of paint will cover 10 m2 of floor.
(a) Assuming Petra is correct, does she have enough paint to cover the floor?
You must show all your working. (4)
You must show all your working. (4)
Actually, 1 litre of paint will cover 11 m2 of floor.
(b) Does this affect your answer to part (a)?
You must give a reason for your answer. (1)
You must give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| Yes (supported) | P1 | for a process to find the area of one shape, eg \(10 \times 8\ (= 80)\) or \(10 \times 5\ (= 50)\) or \(8 \times 6\ (= 48)\) or \((10 - 6) \times 5\ (= 20)\) or \((10 - 6) \times (8 - 5)\ (= 12)\) or \(6 \times (8 - 5)\ (= 18)\) or \(5 \times 6\ (= 30)\) |
| P1 | for a complete process to find the total area, eg \(\text{``}80\text{''} - \text{``}12\text{''}\ (= 68)\) or \(\text{``}50\text{''} + \text{``}18\text{''}\ (= 68)\) or \(\text{``}48\text{''} + \text{``}20\text{''}\ (= 68)\) | |
| P1 | for a complete process to find the area covered by 3 tins eg \(3 \times 2.5 \times 10\ (= 75)\) or for a complete process to find the number of litres needed eg \(\text{``}68\text{''} \div 10\ (= 6.8)\) or \([\text{area}] \div 10\) or for a complete process to find the number of tins needed eg \(\text{``}68\text{''} \div 10 \div 2.5\ (= 2.72)\) or \([\text{area}] \div 10 \div 2.5\) | |
| A1 | for ‘Yes’ supported by correct figures eg 68 (m2) and 75 (m2) or 6.8 (litres) and 7.5 (litres) or 68 (m2) and 2.72 (tins needed) |
Additional guidance
Do not award this mark if they go on to multiply by a third length
[area] is what they believe to be the area
Ignore incorrect amount of paint left over if correct figures seen
| Answer | Mark | Mark scheme |
|---|---|---|
| No effect (supported) | C1 | ft from (a) for “has no effect” with reason Acceptable examples No effect, she will need less paint It won’t change, she will still have enough No, she will have more paint left over No, as this will cover 82.5m2 Not acceptable examples Petra will need less paint She will have more paint left over She won’t have enough paint She will need more paint |
Additional guidance
Must have a decision in (a)
Must include a decision eg yes / no / no effect
If figures included in the statement they must be correct for their [area] in (a)