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CXC CAPE · · Applied Mathematics

Free CXC CAPE Applied Mathematics
Practice Paper

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

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What the real CXC CAPE Applied Mathematics paper looks like

Paper 01 (Multiple Choice)
45 multiple-choice questions, 1 mark each. About 1 hour 30 minutes. Tests knowledge across all three Modules of the Unit.
Paper 02 (Essay / Structured)
Extended essay and structured questions, one per Module. Around 2 hours 30 minutes. Tests developed argument, application and use of examples.
Paper 03 (Internal Assessment)
School-Based Assessment for school candidates (Paper 03/1) or an alternative written paper for private candidates (Paper 03/2). Coursework/research component worth a significant share of the Unit grade.
Total written exam time: ~4 hours across Paper 01 and Paper 02, plus the Internal Assessment.
Grading: Unit grades: I (highest) to VII (lowest), with a Grade Point Average and per-Module profile. Grades I–V are the pass range for most purposes.

Mini practice paper: 8 questions

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

Q1 · Difficulty 2/3

A chart showing categories as slices of a whole is a:

  1. box plot
  2. stem-and-leaf
  3. pie chart
  4. histogram
Show answer & explanation
✓ Answer: C — pie chart
Pie charts show proportions of a whole.
Q2 · Difficulty 2/3

A complete enumeration of an entire population is a:

  1. sample
  2. survey sample
  3. statistic
  4. census
Show answer & explanation
✓ Answer: D — census
A census counts everyone.
Q3 · Difficulty 2/3

The probability of rolling a 3 on a fair six-sided die is:

  1. 1/3
  2. 1/2
  3. 3/6
  4. 1/6
Show answer & explanation
✓ Answer: D — 1/6
One favourable outcome of six.
Q4 · Difficulty 3/3

If a body is in equilibrium, the resultant force on it is:

  1. its weight
  2. increasing
  3. zero
  4. maximum
Show answer & explanation
✓ Answer: C — zero
Equilibrium means zero resultant force.
Q5 · Difficulty 3/3

The weight of a 10 kg mass (g = 10 m s⁻²) is:

  1. 1000 N
  2. 100 N
  3. 10 N
  4. 1 N
Show answer & explanation
✓ Answer: B — 100 N
W = mg = 10·10 = 100 N.
Q6 · Difficulty 3/3

For a binomial distribution, the variance is:

  1. np(1-p)
  2. np
  3. n(1-p)
  4. p(1-p)
Show answer & explanation
✓ Answer: A — np(1-p)
Binomial variance = np(1-p).
Q7 · Difficulty 3/3

In a discrete uniform distribution, all outcomes have ____ probability.

  1. decreasing
  2. zero
  3. equal
  4. increasing
Show answer & explanation
✓ Answer: C — equal
Uniform means equal probabilities.
Q8 · Difficulty 2/3

The probability of a certain event is:

  1. 1
  2. 0
  3. 0.5
  4. 100
Show answer & explanation
✓ Answer: A — 1
A certain event has probability 1.
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CXC CAPE Applied Mathematics FAQ

What does the CXC CAPE Applied Mathematics exam look like?
The CXC CAPE Applied Mathematics exam is structured across 3 components. Paper 01 (Multiple Choice): 45 multiple-choice questions, 1 mark each. About 1 hour 30 minutes. Tests knowledge across all three Modules of the Unit. Paper 02 (Essay / Structured): Extended essay and structured questions, one per Module. Around 2 hours 30 minutes. Tests developed argument, application and use of examples. Paper 03 (Internal Assessment): School-Based Assessment for school candidates (Paper 03/1) or an alternative written paper for private candidates (Paper 03/2). Coursework/research component worth a significant share of the Unit grade. Total written exam time: ~4 hours across Paper 01 and Paper 02, plus the Internal Assessment.
Can I download a free CXC CAPE Applied Mathematics past paper?
Real CXC CAPE past papers are published directly by CXC CAPE 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 CAPE Applied Mathematics graded?
Unit grades: I (highest) to VII (lowest), with a Grade Point Average and per-Module profile. Grades I–V are the pass range for most purposes. 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.