Higher June 2024 Paper 1 Q5
5 Sophie drives a distance of 513 kilometres on a motorway in France.
She pays 0.81 euros for every 10 kilometres she drives.
(a) Work out an estimate for the total amount that Sophie pays. (3)
(b) Is your answer to part (a) an underestimate or an overestimate?
Give a reason for your answer. (1)
Give a reason for your answer. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| Estimated value | P1 | for using a value rounded to 1sf in a calculation eg \(500 \div 10\) or \(500 \times 0.8\) or \(510 \times 0.8\) or \(513 \times 0.8\) or \(500 \times 0.81\) |
| P1 | for a full process to find the total amount eg \(500 \div 10 \times 0.8\) oe (= 40) or \(510 \div 10 \times 0.8\) oe (= 40.8) or \(500 \div 10 \times 0.81\ (= 40.5)\) or \([\text{distance}] \div 10 \times [\text{amount}]\) oe | |
| A1 | for a correct answer following through their correct rounded value(s) |
Additional guidance
Their rounded value must be used in a calculation
Rounding may occur after a correct process, eg
\(513 \div 10 = 51.3 \approx 50\) and \(50 \times 0.81\)
\(513 \div 10 = 51.3 \approx 51\) and \(51 \times 0.8\)
scores P1P1
Accept 0.81 rounded to 0.80 for this mark
Condone 0.81 rounded to 1 for this mark
Where [distance] is their rounded 513 or 513 and [amount] is their rounded 0.81 or 0.81
Accept \(513 \div 10 \times 0.81\) for this mark
Do not award this mark if 0.81 is rounded to 1
| Answer | Mark | Mark scheme |
|---|---|---|
| underestimate with reason | C1 | ft from (a) eg underestimate as numbers rounded down |
Additional guidance
Must relate to estimation and not rounding of their final answer and they must have a final answer to part (a)