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4024/11 May/Jun 2023, Question 23: Upper and Lower Bounds

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Attendance is 36 000 to the nearest thousand; find the minimum possible attendance, then use males 21 000 to the nearest 500 to find the maximum possible females.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

State the smallest attendance consistent with 36 000 rounded to the nearest thousand.

  1. 1Lower bound of 36 000 to the nearest thousand
  2. 2= 35 500

Answer35 500

Part (b) · 3 marks

Using the maximum possible males and maximum total attendance, work out the greatest number of females.

  1. 1Maximum total attendance = 36 499 (whole people, less than 36 500)
  2. 2Minimum number of males = 21 000 − 250 = 20 750
  3. 3Maximum females = 36 499 − 20 750
  4. 4= 15 749

Answer15 749

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Also searched as: 4024/11/M/J/23 · 4024_s23_qp_11 · 4024 s23 11 · question 23.
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