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O-LevelMathematicsStatistics4024/21 · Oct/Nov 2023 · Q511 Marks

This is part of a bus timetable. Town square 0630 0650 0710 0735 0745 Railway station 0648 0708 0728 0753 0803 Business park 0716 0736 0756 0821 0831 Airport 0735 0755 0815 0840 0850 Work out how long the bus takes to get from the town square to the business park.

  1. (a)(i)This is part of a bus timetable. Town square 0630 0650 0710 0735 0745 Railway station 0648 0708 0728 0753 0803 Business park 0716 0736 0756 0821 0831 Airport 0735 0755 0815 0840 0850 Work out how long the bus takes to get from the town square to the business park.[1]
  2. (a)(ii)Tom arrives at the railway station at 0712. He gets on the next bus to the airport. Find the time he arrives at the airport.[1]
  3. (b)(i)160 workers at the business park are asked the time taken, in minutes, for their journey to work. The results are shown in the cumulative frequency diagram. Use the diagram to estimate the number of workers whose journey took less than 30 minutes[1]
  4. (b)(ii)the interquartile range[2]
  5. (b)(iii)the percentage of workers whose journey took longer than 1 hour.[3]
  6. (c)Chen's journey to work is a distance of 37 km, correct to the nearest kilometre. His journey on Monday takes 43 minutes, correct to the nearest minute. Calculate the lower bound of the average speed for this journey. Give your answer in kilometres per hour.[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

  1. [1] (a)(i) 46
  2. [1] (a)(ii) [0]8 15
  3. [1] (b)(i) 55 to 57
  4. [2] (b)(ii) 30 nfww
  5. [2] (b)(ii) B1 for 54 or 24 seen
  6. [3] (b)(iii) 17.5
  7. [3] (b)(iii) B1 for 132 or 28
  8. [3] (b)(iii) M1 for (160-their 132)/160 [x100] or their 28/160 [x100] or their 132/160 x 100
  9. [3] (c) 50.3 or 50.34...
  10. [3] (c) B1 for 36.5 and 43.5 seen
  11. [3] (c) M1 for their 36.5 / (their 43.5 / 60) oe

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About this question

Topic
Statistics, O-Level Mathematics (syllabus 4024). Structured question, 11 marks.
Source
O-Level Mathematics, Oct/Nov 2023 Paper 2 Variant 1, question 5.

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