Foundation June 2024 Paper 1 Q16
16 Batteries are sold in packs of 4, in packs of 8 and in packs of 12
A pack of 4 batteries costs £1.80
A pack of 8 batteries costs £3.20
A pack of 12 batteries costs £6.00
Which pack gives the best value for money?
You must show how you get your answer. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Pack of 8 (supported) | P1 | for a process (for at least 2 packs) of division of price by quantity eg at least 2 of \(180 \div 4\ (= 45)\) or \(320 \div 8\ (= 40)\) or \(600 \div 12\ (= 50)\) OR any other process that could lead to a comparison of 2 packs eg \(180 \times 2\ (= 360)\) or \(320 \div 8\ (= 40)\) and \(\text{``}40\text{''} \times 12\ (= 480)\) |
| P1 | for a complete process to give values that can be used for comparison of all 3 packs eg \(180 \div 4\ (= 45)\) and \(320 \div 8\ (= 40)\) and \(600 \div 12\ (= 50)\) OR \(3.20 \div 8\ (= 0.40)\) and \(\text{``}0.40\text{''} \times 4\ (= 1.60)\) and \(\text{``}0.40\text{''} \times 12\ (= 4.80)\) OR \(1.80 \times 6\ (= 10.80)\) and \(3.20 \times 3\ (= 9.60)\) and \(6.00 \times 2\ (= 12.00)\) | |
| A1 | for ‘pack of 8’ and correct values that can be used to compare all 3 packs |
Additional guidance
Calculations could be in pounds or in pence
| 4 pack | 8 pack | 12 pack | |
|---|---|---|---|
| 1 | 0.45 | 0.40 | 0.50 |
| 2 | 0.90 | 0.80 | 1.00 |
| 4 | 1.80 | 1.60 | 2.00 |
| 8 | 3.60 | 3.20 | 4.00 |
| 12 | 5.40 | 4.80 | 6.00 |
| 16 | 7.20 | 6.40 | 8.00 |
| 24 | 10.80 | 9.60 | 12.00 |
Condone incorrect units.
Pairwise comparison are possible, but check to see that this allows for a decision to be made. Check process.
Assuming correct figures found:
| Comparisons | Conclusion possible | |
|---|---|---|
| 4 vs 8 | 8 vs 12 | Yes |
| 4 vs 8 | 4 vs 12 | Yes |
| 4 vs 12 | 8 vs 12 | No |
Correct answer with no supportive working scores 0 marks.
Do not allow A mark where inconsistent units would prevent comparison e.g. 0.40p and 45p