4024/21

Mathematics (Syllabus D) 4024/21October/November 2023

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

10
questions
100
marks
150
minutes

Topics Algebra and Graphs · Mensuration · Number · Coordinate Geometry · Statistics · Trigonometry · +3 more

Q1NumberFree sample
(a)

The population of a town is 3640036\,400.
23%23\% of the population are aged 18 and under.

Work out the number of people in the town aged over 18.

______

2M
(b)

In a village, the ratio of the ages of the population is under 18 : 18 to 60 : over 60 = 4:11:54 : 11 : 5.
There are 890 people aged over 60.

Work out the total number of people in the village aged 60 and under.

______

2M
(c)

In 2015, the population of a city was 702800702\,800.

(i)

In 2020, the population was 678202678\,202.

Calculate the percentage decrease in the population from 2015 to 2020.

______ %

2M
(ii)

The population of the city increased by 12%12\% between 1980 and 2015.

Calculate the population of the city in 1980.

______

2M
(d)

The table shows the population and area of some countries.

CountryPopulationArea in km2\text{km}^2
Bangladesh1.63×1081.63 \times 10^8148000148\,000
Bahrain1.54×1061.54 \times 10^6760760
Maldives3.92×1053.92 \times 10^5298298
Lebanon5.30×1065.30 \times 10^61040010\,400
(i)

Work out how many more people live in Bahrain than in Maldives.
Give your answer in standard form.

______

1M
(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.

______

3M

The rest of this paper

9 more questions
  • Q2Coordinate Geometry · Transformations and Vectors5M
  • Q3Coordinate Geometry7M
  • Q4Algebra and Graphs11M
  • Q5Number · Statistics11M
  • Q6Mensuration · Algebra and Graphs10M
  • Q7Algebra and Graphs11M
  • Q8Statistics · Probability11M
  • Q9Mensuration · Trigonometry14M
  • Q10Geometry · Mensuration · Trigonometry8M
Loading the full paper…