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HomeCXC CSEC MathematicsNumber Theory: Properties of numbers, number bases and modular arithmetic
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Number Theory: Properties of numbers, number bases and modular arithmetic
Practice Questions

28 CXC CSEC Mathematics questions on Number Theory: Properties of numbers, number bases and modular arithmetic, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Number Theory: Properties of numbers, number bases and modular arithmetic

Question 1 · 1 mark · Difficulty 1/3

Convert the binary number 10110₂ to base ten.

  1. 18
  2. 22
  3. 26
  4. 30
Show answer & explanation
✓ Answer: B22
Award 1 mark for correct conversion: 1×16 + 0×8 + 1×4 + 1×2 + 0×1 = 16 + 4 + 2 = 22. A is incorrect — this results from miscounting place values. C is incorrect — this confuses binary with another base. D is incorrect — this adds all place values incorrectly.
Question 2 · 1 mark · Difficulty 1/3

A Jamaican student is studying number properties. Which of the following numbers is a prime number?

  1. 51
  2. 57
  3. 59
  4. 63
Show answer & explanation
✓ Answer: C59
Award 1 mark for identifying 59 as prime (only divisible by 1 and itself). A is incorrect — 51 = 3 × 17. B is incorrect — 57 = 3 × 19. D is incorrect — 63 = 7 × 9.
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CXC CSEC Mathematics: Number Theory: Properties of numbers, number bases and modular arithmetic FAQ

How many CXC CSEC Mathematics questions on Number Theory: Properties of numbers, number bases and modular arithmetic are there on Kramizo?
Kramizo currently has 28 exam-board-aligned practice questions on Number Theory: Properties of numbers, number bases and modular arithmetic 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 Number Theory: Properties of numbers, number bases and modular arithmetic 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 Number Theory: Properties of numbers, number bases and modular arithmetic 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 Number Theory: Properties of numbers, number bases and modular arithmetic typically tested on CXC CSEC Mathematics papers?
Number Theory: Properties of numbers, number bases and modular arithmetic 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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