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O-LevelMathematicsNumber4024/21 · Oct/Nov 2023 · Q112 Marks

The population of a town is 36400. 23% of the population are aged 18 and under. Work out the number of people in the town aged over 18.

  1. (a)The population of a town is 36400. 23% of the population are aged 18 and under. Work out the number of people in the town aged over 18.[2]
  2. (b)In a village, the ratio of the ages of the population is under 18 : 18 to 60 : over 60 = 4 : 11 : 5 . There are 890 people aged over 60. Work out the total number of people in the village aged 60 and under.[2]
  3. (c)(i)In 2015, the population of a city was 702 800. In 2020, the population was 678202. Calculate the percentage decrease in the population from 2015 to 2020.[2]
  4. (c)(ii)The population of the city increased by 12% between 1980 and 2015. Calculate the population of the city in 1980.[2]
  5. (d)(i)The table shows the population and area of some countries. Country Population Area in km² Bangladesh 1.63 x 10⁸ 148000 Bahrain 1.54 x 10⁶ 760 Maldives 3.92 x 10⁵ 298 Lebanon 5.30 x 10⁶ 10400 Work out how many more people live in Bahrain than in Maldives. Give your answer in standard form.[1]
  6. (d)(ii)The population density of a country is the number of people per square kilometre. Which of these countries has the highest population density? Show how you decide.[3]

Mark scheme

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

  1. [2] (a) 28 028
  2. [2] (a) B1 for 8372 seen
  3. [2] (a) M1 for 36400 - 23/100 x 36400 oe
  4. [2] (b) 2670
  5. [2] (b) M1 for 890/5 [xk] oe where k>=1
  6. [2] (c)(i) 3.5
  7. [2] (c)(i) M1 for (702800-678202)/702800 [x100] oe
  8. [2] (c)(i) or (702800-678202)/702800 x 100 oe
  9. [2] (c)(ii) 627 500
  10. [2] (c)(ii) M1 for (100+12)/100 x = 702800 soi
  11. [1] (d)(i) 1.148 x 10^6 cao
  12. [3] (d)(ii) Population densities
  13. [3] (d)(ii) M2 M1 for one correct population density seen
  14. [3] (d)(ii) 1100 or 1101.[...]
  15. [3] (d)(ii) 2030 or 2026.[...]
  16. [3] (d)(ii) 1320 or 1315.[...]
  17. [3] (d)(ii) 510 or 509.6... seen
  18. [3] (d)(ii) Bahrain B1

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About this question

Topic
Number, O-Level Mathematics (syllabus 4024). Structured question, 12 marks.
Source
O-Level Mathematics, Oct/Nov 2023 Paper 2 Variant 1, question 1.

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