Kramizo
Log inSign up free
Home › CXC CAPE Applied Mathematics › Practice Paper
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.

Take a Mini Mock →

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

The force opposing motion between surfaces in contact is:

  1. tension
  2. weight
  3. upthrust
  4. friction
Show answer & explanation
✓ Answer: D — friction
Friction opposes relative motion.
Q2 · Difficulty 2/3

Power is the rate of doing:

  1. mass
  2. work
  3. force
  4. distance
Show answer & explanation
✓ Answer: B — work
Power = work/time.
Q3 · Difficulty 2/3

Newton's second law is expressed as:

  1. F = m/a
  2. F = a/m
  3. F = ma
  4. F = mv
Show answer & explanation
✓ Answer: C — F = ma
F = ma.
Q4 · Difficulty 3/3

A connected graph with no cycles is a:

  1. tree
  2. loop
  3. circuit
  4. network only
Show answer & explanation
✓ Answer: A — tree
A tree is acyclic and connected.
Q5 · Difficulty 3/3

Selecting every 10th item from a list is ____ sampling.

  1. systematic
  2. random
  3. stratified
  4. cluster
Show answer & explanation
✓ Answer: A — systematic
Fixed interval selection is systematic sampling.
Q6 · Difficulty 3/3

A graph in which every pair of vertices is connected by an edge is:

  1. weighted
  2. complete
  3. empty
  4. directed only
Show answer & explanation
✓ Answer: B — complete
A complete graph connects all pairs.
Q7 · Difficulty 2/3

The median of 3, 7, 9, 12, 15 is:

  1. 10
  2. 9
  3. 7
  4. 12
Show answer & explanation
✓ Answer: B — 9
The middle value is 9.
Q8 · Difficulty 2/3

The rate of change of velocity is:

  1. displacement
  2. force
  3. speed
  4. acceleration
Show answer & explanation
✓ Answer: D — acceleration
Acceleration is the rate of change of velocity.
Build a 30-question timed mock →
Free account · Instant marking

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.