Lemmara logoLemmaraWorked solution

0580/43 May/Jun 2025, Question 24: Histograms (Unequal Class Intervals)

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Histogram shows distances travelled to work in km with frequency densities; use it to fill a grouped frequency table and estimate how many travelling over 35 km get a car allowance.

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

Part (a) · 3 marks

Use the histogram bars to complete the table giving the number of people in each of the three distance groups.

  1. 1Frequency = frequency density × class width
  2. 20 < d ≤ 5: 2.8 × 5 = 14
  3. 35 < d ≤ 20: 3.4 × 5 + 2 × 10 = 17 + 20 = 37
  4. 420 < d ≤ 50: 1.6 × 10 + 0.4 × 20 = 16 + 8 = 24

Answer| 0 < d ≤ 5 | 14 | | 5 < d ≤ 20 | 37 | | 20 < d ≤ 50 | 24 |

Part (b) · 1 mark

Estimate the number of people travelling more than 35 km, who receive a car allowance.

  1. 135 < d ≤ 50 is 15 km of the 30 < d ≤ 50 bar
  2. 20.4 × 15 = 6

Answer6

Stuck on a step? Read the free lesson: Histograms (Unequal Class Intervals)

Practise more histograms (unequal class intervals) questions

Real 0580 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 histograms (unequal class intervals)

Also searched as: 0580/43/M/J/25 · 0580_s25_qp_43 · 0580 s25 43 · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.