On a histogram, what does the AREA of a bar represent?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Histograms Topical Past Papers.
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These Histograms Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Statistics (E9.7) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Construct and interpret histograms with EQUAL and UNEQUAL class widths, using frequency density.
On a histogram, what does the AREA of a bar represent?
A histogram class is 0 ≤ t < 10 with frequency 20. Find the frequency density.
[1 mark]A frequency table records times (minutes) of phone calls: 0 ≤ t < 5 → 15; 5 ≤ t < 10 → 25; 10 ≤ t < 20 → 18; 20 ≤ t < 40 → 12.
Find the frequency density for the class 10 ≤ t < 20.
[1 mark]Find the frequency density for the class 20 ≤ t < 40.
[1 mark]A histogram bar has frequency density 2.5 and covers the class 30 ≤ x < 50. Find the frequency for this class.
[2 marks]A histogram class 0 ≤ x < 4 has frequency 16. A class 4 ≤ x < 14 has frequency 50. Which class has the HIGHER frequency density?
A histogram of running times has the following frequency densities: 0 ≤ t < 10 → fd 0.8; 10 ≤ t < 20 → fd 2.4; 20 ≤ t < 30 → fd 3.2; 30 ≤ t < 50 → fd 1.0.
Find the frequency for the class 20 ≤ t < 30.
[1 mark]Find the TOTAL number of runners in the survey.
[2 marks]A histogram has a bar with frequency density 4 covering 8 ≤ x < 12, and another bar with frequency density 2.5 covering 12 ≤ x < 20. How many data values are in the range 8 ≤ x < 20?
[2 marks]A histogram class 0 ≤ x < 4 has frequency density 6. A SECOND class beginning at x = 4 has the SAME area on the histogram but is twice as wide as the first. State the frequency density of the second class.
[2 marks]