Mini practice paper: 8 questions
Mixed-difficulty questions from across the Additional Mathematics syllabus. Tap "Show answer" after each to check yourself.
Q1 · Difficulty 1/3
A surveyor in Trinidad maps a plot of land using coordinates. Under the transformation represented by the matrix
| 2 0 |
| 0 2 |
the image of the point (3, 5) is:
- (6, 10)
- (5, 7)
- (3, 5)
- (6, 5)
Show answer & explanation
✓ Answer: A — (6, 10)
Award 1 mark for correct matrix multiplication: | 2 0 || 3 | = | 6 |. B is incorrect — this adds 2 instead of multiplying. C is incorrect — this is the original point. D is incorrect — this only transforms the x-coordinate.
Q2 · Difficulty 1/3
What is the order of the matrix shown below?
| 3 5 2 |
| 1 4 7 |
- 2 × 3
- 3 × 2
- 2 × 2
- 3 × 3
Show answer & explanation
✓ Answer: A — 2 × 3
Award 1 mark for correctly identifying 2 rows and 3 columns. B is incorrect — this reverses rows and columns (a common error). C is incorrect because there are 3 columns, not 2. D is incorrect because there are only 2 rows.
Q3 · Difficulty 1/3
The function f(x) = 2x + 3 is defined for all real numbers. What is the inverse function f⁻¹(x)?
- f⁻¹(x) = (x - 3)/2
- f⁻¹(x) = (x + 3)/2
- f⁻¹(x) = 2x - 3
- f⁻¹(x) = x/2 - 3
Show answer & explanation
✓ Answer: A — f⁻¹(x) = (x - 3)/2
Award 1 mark for correct inverse. Let y = 2x + 3, then x = (y - 3)/2, so f⁻¹(x) = (x - 3)/2. B is incorrect — this adds 3 instead of subtracting. C is incorrect — this reverses operations in wrong order. D is incorrect — this subtracts 3 after dividing instead of before.
Q4 · Difficulty 2/3
A farmer in Guyana is planning irrigation channels. One channel runs along the line y = 3x - 2. A second channel must be perpendicular to the first and pass through the point (6, 1). What is the equation of the second channel?
- y = -⅓x + 3
- y = 3x - 17
- y = -⅓x - 1
- y = ⅓x - 1
Show answer & explanation
✓ Answer: A — y = -⅓x + 3
Award 1 mark for recognising perpendicular gradient = -1/3 (negative reciprocal of 3). Award 1 mark for using y - 1 = -⅓(x - 6), giving y = -⅓x + 2 + 1 = -⅓x + 3. B is incorrect — uses same gradient (parallel, not perpendicular). C is incorrect — error in calculating c. D is incorrect — uses positive reciprocal instead of negative.
Q5 · Difficulty 2/3
A credit union in Jamaica offers a loan at 8% per annum simple interest. Mr. Campbell borrows $50,000 for 3 years. What is the total amount he must repay?
- $54,000
- $62,000
- $62,985.60
- $12,000
Show answer & explanation
✓ Answer: B — $62,000
Award 1 mark for: I = PRT = 50,000 × 0.08 × 3 = $12,000. Total = $50,000 + $12,000 = $62,000. A ($54,000) uses only 1 year of interest. C ($62,985.60) incorrectly applies compound interest. D ($12,000) gives only the interest, not total amount.
Q6 · Difficulty 2/3
If y = 6/x², express y in index form and find dy/dx.
- −12x⁻³
- 12x⁻³
- −12x⁻¹
- 6x⁻³
Show answer & explanation
✓ Answer: A — −12x⁻³
Award 1 mark for rewriting as y = 6x⁻² and applying the power rule: dy/dx = 6 × (−2)x⁻³ = −12x⁻³. B is incorrect — the negative sign from the power must be included. C is incorrect — the power decreases by 1 to give −3, not −1. D is incorrect — the coefficient must be multiplied by −2.
Q7 · Difficulty 1/3
A farmer in Guyana uses coordinate geometry to plan the expansion of a rice field. Under an enlargement with scale factor 3, centre the origin, what is the image of the point P(2, −4)?
- (6, −12)
- (5, −1)
- (2/3, −4/3)
- (−6, 12)
Show answer & explanation
✓ Answer: A — (6, −12)
Award 1 mark for multiplying both coordinates by 3. B is incorrect — this adds 3 to each coordinate. C is incorrect — this divides by 3 (inverse transformation). D is incorrect — this incorrectly changes signs.
Q8 · Difficulty 1/3
Evaluate ∫ (5x² − 3x + 1) dx.
- 5x³/3 − 3x²/2 + x + C
- 10x − 3 + C
- 5x³ − 3x² + x + C
- 15x² − 6x + C
Show answer & explanation
✓ Answer: A — 5x³/3 − 3x²/2 + x + C
Award 1 mark for applying the power rule to each term correctly. B is incorrect — this is differentiation, not integration. C is incorrect — coefficients not divided by new powers. D is incorrect — this is the derivative of the original expression.
CXC CSEC Additional Mathematics FAQ
What does the CXC CSEC Additional Mathematics exam look like?
The CXC CSEC Additional 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 Additional 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 Additional 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.