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CXC · CSEC · Mathematics

Sets
Practice Questions

20 CXC CSEC Mathematics questions on Sets, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Sets

Question 1 · 1 mark · Difficulty 1/3

Which of the following represents the shaded region in the Venn diagram where ONLY set A is shaded, excluding any overlap with set B?

  1. A ∩ B
  2. A ∪ B
  3. A ∩ B'
  4. A' ∩ B
Show answer & explanation
✓ Answer: CA ∩ B'
This notation represents elements that are in set A AND in the complement of B (not in B), which describes elements in A only. Award 1 mark for correct identification. A (A ∩ B) represents elements in both sets. B (A ∪ B) represents elements in either set. D (A' ∩ B) represents elements in B only.
Question 2 · 1 mark · Difficulty 2/3

A survey was conducted among 50 students at a secondary school in Kingston, Jamaica, to determine their participation in Cricket (C) and Football (F). The results showed that 28 students played Cricket, 25 played Football, and 8 played neither sport. How many students played BOTH Cricket and Football?

  1. 5
  2. 11
  3. 15
  4. 45
Show answer & explanation
✓ Answer: B11
Using the formula n(U) = n(C) + n(F) - n(C ∩ F) + n(neither): 50 = 28 + 25 - n(C ∩ F) + 8. Therefore 50 = 61 - n(C ∩ F), giving n(C ∩ F) = 11. Award 1 mark for correct application of the inclusion-exclusion principle. A (5) is incorrect — this results from arithmetic error. C (15) confuses the intersection with another region. D (45) incorrectly adds all values.
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20 questions · 25 min · free

CXC CSEC Mathematics: Sets FAQ

How many CXC CSEC Mathematics questions on Sets are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Sets for CXC CSEC 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 CXC 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 CXC CSEC 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 Sets practice with other Mathematics topics or even switch to a totally different CXC 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 Sets questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC 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 CXC.
How is Sets typically tested on CXC CSEC Mathematics papers?
Sets appears across multiple question types on real CXC CSEC 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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