Foundation June 2025 Paper 3 Q25
25 In London, 2 kg of carrots cost £3.75
In New York, 5 lbs of carrots cost 4.90 US dollars.
£1 = 1.20 US dollars
1 kg = 2.2 lbs
In which city are carrots better value for money, London or New York?
You must show how you get your answer. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| New York (supported) | P1 | for a conversion between kg and lbs, eg \(2 \times 2.2\ (= 4.4)\) or \(5 \div 2.2\ (= 2.27\ldots)\) |
| P1 | for a conversion between pounds and US dollars, eg \(3.75 \times 1.2(0)\ (= 4.50)\) or \(4.9(0) \div 1.2(0)\ (= 4.08\ldots)\) | |
| P1 | for a process to find figures to compare, eg \(3.75 \div \text{``}4.4\text{''}\ (= 0.85\ldots)\) and \(\text{``}4.08\ldots\text{''} \div 5\ (= 0.81(6\ldots))\) or \(\text{``}4.50\text{''} \div 2\ (= 2.25)\) and \(4.9(0) \div \text{``}2.27\ldots\text{''}\ (= 2.15(6\ldots))\) or \(\text{``}4.4\text{''} \div 3.75\ (= 1.17\ldots)\) and \(5 \div \text{``}4.08\text{''}\ (= 1.22\ldots)\) or \(2 \div \text{``}4.5\text{''}\ (= 0.44\ldots)\) and \(\text{``}2.27\text{''} \div 4.9(0)\ (= 0.46\ldots)\) | |
| C1 | for New York with correct comparable figures, eg 0.85 and 0.81(6…) OR 2.25 and 2.15(6…) |
Additional guidance
See page at end of mark scheme
£ per lb
US dollars per kg
lbs per £
kg per US dollar
Condone the incorrect assignment of units for all 3 P marks
Final comparable values can be truncated or rounded, they just need to be accurate enough to allow a comparison
Question 25 – Additional information - NOT Exhaustive
Final comparable values can be truncated or rounded and just need to be accurate enough to allow a comparison
| Cost per lb in \(\$\): \(2 \times 2.2\ (= 4.4)\) \(3.75 \times 1.2(0)\ (= 4.5)\) \(\text{``}4.5\text{''} \div \text{``}4.4\text{''}\ (= 1.02\ldots)\) and \(4.9(0) \div 5\ (= 0.98)\) New York and 1.02… and 0.98 | Cost per lb in £: \(2 \times 2.2\ (= 4.4)\) \(4.9(0) \div 1.2(0)\ (= 4.08\ldots)\) \(3.75 \div \text{``}4.4\text{''}\ (= 0.85\ldots)\) and \(\text{``}4.08\ldots\text{''} \div 5\ (= 0.81(6\ldots))\) New York and 0.85… and 0.81(6…) |
| Cost per kg in \(\$\): \(5 \div 2.2\ (= 2.27\ldots)\) \(3.75 \times 1.2(0)\ (= 4.5)\) \(\text{``}4.5\text{''} \div 2\ (= 2.25)\) and \(4.9(0) \div \text{``}2.27\ldots\text{''}\ (= 2.15(6))\) New York and 2.25 and 2.15(6) | Cost per kg in £: \(5 \div 2.2\ (= 2.27\ldots)\) \(4.9(0) \div 1.2(0)\ (= 4.08\ldots)\) \(3.75 \div 2\ (= 1.87(5))\) and \(\text{``}4.08\ldots\text{''} \div \text{``}2.27\ldots\text{''}\ (= 1.79(6\ldots))\) New York and 1.87(5) and 1.79(6…) |
| Number of lbs per \(\$\): \(2 \times 2.2\ (= 4.4)\) \(3.75 \times 1.2(0)\ (= 4.5)\) \(\text{``}4.4\text{''} \div \text{``}4.5\text{''}\ (= 0.97(7\ldots))\) and \(5 \div 4.9(0)\ (= 1.02\ldots)\) New York and 0.97(7…) and 1.02… | Number of lbs per £: \(2 \times 2.2\ (= 4.4)\) \(4.9(0) \div 1.2(0)\ (= 4.08\ldots)\) \(\text{``}4.4\text{''} \div 3.75\ (= 1.17\ldots)\) and \(5 \div \text{``}4.08\ldots\text{''}\ (= 1.22\ldots)\) New York and 1.17… and 1.22… |
| Number of kg per \(\$\): \(5 \div 2.2\ (= 2.27\ldots)\) \(3.75 \times 1.2(0)\ (= 4.5)\) \(2 \div \text{``}4.5\text{''}\ (= 0.44\ldots)\) and \(\text{``}2.27\ldots\text{''} \div 4.9(0)\ (= 0.46\ldots)\) New York and 0.44… and 0.46… | Number of kg per £: \(5 \div 2.2\ (= 2.27\ldots)\) \(4.9(0) \div 1.2(0)\ (= 4.08\ldots)\) \(2 \div 3.75\ (= 0.53\ldots)\) and \(\text{``}2.27\ldots\text{''} \div \text{``}4.08\ldots\text{''}\ (= 0.55(6\ldots))\) New York and 0.53… and 0.55(6…) |
| Cost of 5 lb in \(\$\): \(2 \times 2.2\ (= 4.4)\) \(3.75 \times 1.2(0)\ (= 4.5)\) \(\text{``}4.5\text{''} \div \text{``}4.4\text{''} \times 5\ (= 5.11\ldots)\) New York and 5.11… | Cost of 5 lb in £: \(2 \times 2.2\ (= 4.4)\) \(4.9(0) \div 1.2(0)\ (= 4.08\ldots)\) \(3.75 \div \text{``}4.4\text{''} \times 5\ (= 4.26\ldots)\) New York and 4.08… and 4.26… |
| Cost of 2 kg in \(\$\): \(5 \div 2.2\ (= 2.27\ldots)\) \(3.75 \times 1.2(0)\ (= 4.5)\) \(4.9(0) \div \text{``}2.27\ldots\text{''} \times 2\ (= 4.31\ldots)\) New York and 4.5 and 4.31… | Cost of 2 kg in £: \(5 \div 2.2\ (= 2.27\ldots)\) \(4.9(0) \div 1.2(0)\ (= 4.08\ldots)\) \(\text{``}4.08\ldots\text{''} \div \text{``}2.27\ldots\text{''} \times 2\ (= 3.59\ldots)\) New York and 3.59… |