Lemmara logoLemmaraWorked solution

4024/22 May/Jun 2022, Question 3: Pie Charts

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 7 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

From a 200-spin frequency table for a spinner numbered 1 to 5, work out sector angles, estimated probabilities and an expected count over 3000 spins.

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

Part (a) · 2 marks

Work out the pie chart sector angle that represents the number 4, using its frequency out of 200 spins.

  1. 1Angle = 35/200 × 360
  2. 2= 63°

Answer63

Part (b) · 1 mark

Give an estimated probability that the spinner shows 3, based on the recorded frequencies.

  1. 1P(3) ≈ 28/200

Answer28/200

Part (c) · 2 marks

Estimate the probability of landing on a factor of 30, using the table's frequencies.

  1. 1Factors of 30 on the spinner: 1, 2, 3, 5
  2. 251 + 19 + 28 + 67 = 165
  3. 3P ≈ 165/200

Answer165/200

Part (d) · 2 marks

Using the same results, estimate how many even numbers appear in 3000 spins.

  1. 1Even numbers: 2 and 4, frequency 19 + 35 = 54
  2. 2Estimate = 54/200 × 3000
  3. 3= 810

Answer810

Stuck on a step? Read the free lesson: Pie Charts

Practise more pie charts questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on pie charts

Also searched as: 4024/22/M/J/22 · 4024_s22_qp_22 · 4024 s22 22 · question 3.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.