Higher June 2018 Paper 1 Q4
4 A cycle race across America is 3069.25 miles in length.
Juan knows his average speed for his previous races is 15.12 miles per hour.
For the next race across America he will cycle for 8 hours per day.
(a) Estimate how many days Juan will take to complete the race. (3)
Juan trains for the race.
The average speed he can cycle at increases.
It is now 16.27 miles per hour.
(b) How does this affect your answer to part (a)? (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| Estimated value | P1 | for using a rounded value in a correct process eg \(3000 \div 15\) or \(15 \times 8\) or \(20 \times 8\) |
| P1 | for a full process to find the number of days eg \(\text{``}3000\text{''} \div \text{``}15\text{''} \div \text{``}10\text{''}\ (= 20)\) or \(\text{``}3000\text{''} \div \text{``}15\text{''} \div 8\ (= 25)\) | |
| A1 | for a correct answer following through their rounded values |
Additional guidance
Their rounded value must be used in a calculation
Rounding may appear after a correct process
eg \(15.12 \times 8 = 120.96 \approx 100\)
followed by eg \(3069.25 \div 100\)
Accept \(3069.25 \div 15.12 \div 8\) oe
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | eg less days required or it doesn’t affect the answer because I would still round 16.27 down to 15 (or up to 20) |
Additional guidance
Refers to time taken