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4024/21 May/Jun 2024, Question 1: Mean, Median, Mode and Range

Cambridge O Level Mathematics 4024 · Paper 21 (Calculator) · Calculator · 10 marks

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The question, in short

Work through basketball ticket sales, stadium seat percentages, mean seats sold across matches, and three players' salaries in standard form.

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

Part (ai) · 1 mark

Given ticket price 67.60 dollars and total takings 1 183 000 dollars, work out how many tickets were sold.

  1. 11 183 000 ÷ 67.60 = 17 500 tickets

Answer17 500

Part (aii) · 2 marks

This year's 67.60 dollar ticket is 4% higher than last year's; determine last year's ticket price.

  1. 1104% of last year = 67.60
  2. 2Last year = 67.60 ÷ 1.04 = $65.00

Answer65.00

Part (b) · 1 mark

With 20 545 seats in the stadium and 19 340 sold, find the percentage of seats sold.

  1. 119 340/20 545 × 100 = 94.13…%
  2. 2≈ 94.1%

Answer94.1 or 94.13…

Part (c) · 3 marks

Over 41 matches the mean seats sold is 16 440; the first 21 matches total 329 000, so find the mean for the remaining 20.

  1. 1Total for 41 matches = 16 440 × 41 = 674 040
  2. 2Last 20 matches = 674 040 − 329 000 = 345 040
  3. 3Mean = 345 040 ÷ 20 = 17 252

Answer17 252

Part (di) · 1 mark

Using the table, calculate how much more Tristan earns than Stephen, with salaries in standard form.

  1. 136 400 000 − 8 270 000 = 28 130 000 = 2.813 × 10⁷

Answer28 130 000 or 2.813 × 10⁷

Part (dii) · 2 marks

Joe's pay plus bonus x equals 102.5% of his salary; determine x.

  1. 1Total = 102.5/100 × 4 290 000 = 4 397 250
  2. 2x = 4 397 250 − 4 290 000 = 107 250

Answer107 250 or 1.0725 × 10⁵

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