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HomeCIE IGCSE MathematicsProbability: Relative frequency and experimental probability
CIE · IGCSE · Mathematics

Probability: Relative frequency and experimental probability
Practice Questions

20 CIE IGCSE Mathematics questions on Probability: Relative frequency and experimental probability, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Probability: Relative frequency and experimental probability

Question 1 · 1 mark · Difficulty 1/3

A biased coin is thrown 80 times and lands on heads 52 times. What is the relative frequency of obtaining heads?

  1. 0.52
  2. 0.65
  3. 0.80
  4. 1.54
Show answer & explanation
✓ Answer: B0.65
65. Award 1 mark for calculating 52 ÷ 80 = 0.65. A is incorrect — confuses the number of heads (52) with the relative frequency. C is incorrect — uses the total number of trials instead of the ratio. D is incorrect — incorrectly multiplies 52 by 80 instead of dividing.
Question 2 · 1 mark · Difficulty 2/3

A student rolled a dice 60 times and recorded the results. The number 6 appeared 8 times. She then rolled the dice another 40 times and the number 6 appeared 6 times. What is the relative frequency of rolling a 6 based on all 100 rolls?

  1. 0.08
  2. 0.14
  3. 0.15
  4. 0.80
Show answer & explanation
✓ Answer: B0.14
14. Award 1 mark for calculating (8 + 6) ÷ (60 + 40) = 14 ÷ 100 = 0.14. A is incorrect — only uses the first set of results (8 ÷ 100). C is incorrect — uses incorrect addition (8 + 6 = 14 but divides by 60 only). D is incorrect — irrelevant calculation.
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CIE IGCSE Mathematics: Probability: Relative frequency and experimental probability FAQ

How many CIE IGCSE Mathematics questions on Probability: Relative frequency and experimental probability are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Probability: Relative frequency and experimental probability for CIE IGCSE Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CIE paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CIE IGCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Probability: Relative frequency and experimental probability practice with other Mathematics topics or even switch to a totally different CIE subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Probability: Relative frequency and experimental probability questions aligned to the official CIE IGCSE Mathematics syllabus?
Every question is written against the published CIE IGCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CIE.
How is Probability: Relative frequency and experimental probability typically tested on CIE IGCSE Mathematics papers?
Probability: Relative frequency and experimental probability appears across multiple question types on real CIE IGCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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