1MA0 Higher June 2015 Paper 2 Q24
24 Steve travelled from Ashton to Barnfield.
He travelled 235 miles, correct to the nearest 5 miles.
The journey took him 200 minutes, correct to the nearest 5 minutes.
Calculate the lower bound for the average speed of the journey.
Give your answer in miles per hour, correct to 3 significant figures.
You must show all your working. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| \(\dfrac{232.5}{202.5} \times 60\) | 68.9 | 4 | M1 for 232.5 or 237.5 or 197.5 (=3.29… hours) or 202.5 (= 3.375 hours) M1 for correct conversion of “upper bound of time” from minutes to hours, (202.5 to 205) ÷ 60 M1 for “lower bound of distance” ÷ “upper bound of time” (230 to 232.5) ÷ (3.375 to 3.41(6…)) A1 for 68.8 to 69 from correct working OR M1 for 232.5 or 237.5 or 197.5 (=3.29… hours) or 202.5 (= 3.375 hours) M1 for “lower bound of distance” ÷ “upper bound of time” (230 to 232.5) ÷ (202.5 to 205) M1 for correct conversion of “lower bound of speed” from miles per minute to miles per hour, ((1.12(1...) to 1.14(8...)) × 60 A1 for 68.8 to 69 from correct working |