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CXC · CSEC · Mathematics

Free CXC CSEC Mathematics
Practice Paper

8 mixed-difficulty practice questions in the style of real CXC CSEC papers — answers, mark-scheme-style explanations, and the official exam structure all on one page.

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What the real CXC CSEC Mathematics paper looks like

Paper 1 (Section A)
60 multiple-choice questions, 1 mark each. 75 minutes. Tests knowledge across the whole syllabus.
Paper 2
Structured short-answer + 1 extended response question. Section A is compulsory; Section B has a choice. Approximately 2 hours 10 minutes.
School-Based Assessment (SBA)
Coursework component graded by the teacher, externally moderated. Worth ~20-30% of the final grade depending on subject.
Total exam time: ~3.5 hours across Paper 1 and Paper 2 sittings.
Grading: Grades: I (highest) to VI (lowest). A grade of III or above is typically required for further study.

Mini practice paper: 8 questions

Mixed-difficulty questions from across the Mathematics syllabus. Tap "Show answer" after each to check yourself.

Q1 · Difficulty 1/3

A tour operator in Jamaica uses the function C(n) = 150n + 500 to calculate the cost in dollars of taking n tourists on a trip to Dunn's River Falls. What does the 500 represent in this function?

  1. The cost per tourist
  2. The fixed cost of the trip
  3. The total cost for 500 tourists
  4. The profit margin
Show answer & explanation
✓ Answer: B — The fixed cost of the trip
Award 1 mark for identifying 500 as the constant/fixed cost. A is incorrect — 150 represents the cost per tourist. C is incorrect — 500 is not multiplied by the number of tourists. D is incorrect — the function represents cost, not profit.
Q2 · Difficulty 1/3

What is 25% of $480?

  1. $100
  2. $120
  3. $125
  4. $96
Show answer & explanation
✓ Answer: B — $120
25% = 1/4. $480 ÷ 4 = $120.
Q3 · Difficulty 1/3

Calculate 2.5 × 0.4

  1. 10
  2. 1.0
  3. 0.1
  4. 1.25
Show answer & explanation
✓ Answer: B — 1.0
2.5 × 0.4 = 1.0. Or think: 25 × 4 = 100, then move 2 decimal places.
Q4 · Difficulty 1/3

Factorise completely: 6x² + 9x

  1. 3(2x² + 3x)
  2. 3x(2x + 3)
  3. x(6x + 9)
  4. 6x(x + 3)
Show answer & explanation
✓ Answer: B — 3x(2x + 3)
Award 1 mark for identifying the highest common factor (HCF) as 3x and factorising correctly. A is incorrect — only 3 is taken out, not the full HCF including x. C is incorrect — only x is taken out, leaving coefficients that share a common factor of 3. D is incorrect — 6x is not a factor of 9x.
Q5 · Difficulty 1/3

Factorise: x² + 7x + 12

  1. (x + 3)(x + 4)
  2. (x + 2)(x + 6)
  3. (x + 1)(x + 12)
  4. (x − 3)(x − 4)
Show answer & explanation
✓ Answer: A — (x + 3)(x + 4)
Award 1 mark for finding two numbers that multiply to give +12 and add to give +7, which are +3 and +4. B is incorrect — 2 + 6 = 8, not 7. C is incorrect — 1 + 12 = 13, not 7. D is incorrect — this expands to x² − 7x + 12 (negative middle term).
Q6 · Difficulty 1/3

When constructing the bisector of angle ABC using a compass and ruler, arcs are drawn from B to cut BA and BC at points P and Q respectively. What is the next step?

  1. Join P to Q with a straight line
  2. Draw arcs from P and Q to intersect inside the angle
  3. Measure the angle with a protractor to check accuracy
  4. Extend the lines BA and BC beyond the angle
Show answer & explanation
✓ Answer: B — Draw arcs from P and Q to intersect inside the angle
Award 1 mark for identifying that equal arcs drawn from P and Q intersect to locate a point on the angle bisector. A is incorrect — joining P to Q does not locate the bisector. C is incorrect — using a protractor is not part of a compass-and-ruler construction. D is incorrect — extending the lines is unnecessary for this construction.
Q7 · Difficulty 1/3

The graphs of y = 2x and y = x + 3 intersect at one point. What are the coordinates of that point?

  1. (2, 5)
  2. (3, 6)
  3. (3, 5)
  4. (1, 4)
Show answer & explanation
✓ Answer: B — (3, 6)
Setting 2x = x + 3 gives x = 3, then y = 2(3) = 6, so the point is (3, 6). Option A uses x = 2, which does not satisfy the equation. Option C uses x = 1, giving y = 2 from the first equation but y = 4 from the second — not equal. Option D finds x = 3 correctly but substitutes into x + 3 incorrectly as 3 + 2 = 5.
Q8 · Difficulty 1/3

A ship leaves Kingston harbour and sails on a bearing of 045°. In which direction is the ship travelling?

  1. North-West
  2. North-East
  3. South-East
  4. South-West
Show answer & explanation
✓ Answer: B — North-East
Award 1 mark for recognising that bearings are measured clockwise from North, so 045° is 45° East of North, which is North-East. A is incorrect — this would be approximately 315°. C is incorrect — this would be between 090° and 180°. D is incorrect — this would be between 180° and 270°.
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CXC CSEC Mathematics FAQ

What does the CXC CSEC Mathematics exam look like?
The CXC CSEC Mathematics exam is structured across 3 components. Paper 1 (Section A): 60 multiple-choice questions, 1 mark each. 75 minutes. Tests knowledge across the whole syllabus. Paper 2: Structured short-answer + 1 extended response question. Section A is compulsory; Section B has a choice. Approximately 2 hours 10 minutes. School-Based Assessment (SBA): Coursework component graded by the teacher, externally moderated. Worth ~20-30% of the final grade depending on subject. Total exam time: ~3.5 hours across Paper 1 and Paper 2 sittings.
Can I download a free CXC CSEC Mathematics past paper?
Real CXC past papers are published directly by CXC on their official website. Kramizo doesn't redistribute copyrighted past papers, but we do generate free AI-written practice papers in the exact same style — same command words, same difficulty tier, same mark conventions. Use this practice paper as warm-up, then time yourself on official past papers before exam day.
How is CXC CSEC Mathematics graded?
Grades: I (highest) to VI (lowest). A grade of III or above is typically required for further study. Kramizo's practice questions are tagged with difficulty 1-3 mapping roughly to the lower, middle, and top grade boundaries you'll encounter in the real exam.