Kramizo
Log inSign up free
HomeCXC CSEC Additional MathematicsIntroductory Calculus: Differentiation
CXC · CSEC · Additional Mathematics

Introductory Calculus: Differentiation
Practice Questions

20 CXC CSEC Additional Mathematics questions on Introductory Calculus: Differentiation, each with instant feedback and a full examiner-style mark scheme.

⚡ Start Quiz on Introductory Calculus: Differentiation📖 Read Revision NotesTry one question
✨ Revision guide includes key terms, worked examples and exam technique for Introductory Calculus: Differentiation.

Try 2 sample questions on Introductory Calculus: Differentiation

Question 1 · 1 mark · Difficulty 1/3

A farmer in Jamaica models the growth of his yam crop using the function A(t) = 2t² + 5t, where A is the area covered in square metres and t is time in weeks. What does dA/dt represent?

  1. The total area covered by yams
  2. The rate of change of area with respect to time
  3. The maximum area the yams can cover
  4. The time taken to cover a certain area
Show answer & explanation
✓ Answer: BThe rate of change of area with respect to time
Award 1 mark for identifying the derivative as a rate of change. A is incorrect — this describes A(t), not its derivative. C is incorrect — maximum area requires setting derivative equal to zero. D is incorrect — this confuses the dependent and independent variables.
Question 2 · 1 mark · Difficulty 1/3

What is the derivative of y = 5x³ with respect to x?

  1. 15x²
  2. 5x²
  3. 15x³
  4. 3x²
Show answer & explanation
✓ Answer: A15x²
Award 1 mark for correctly applying the power rule: d/dx(5x³) = 5 × 3x² = 15x². B is incorrect — it fails to multiply by the power. C is incorrect — the power should decrease by 1. D is incorrect — it omits the coefficient 5.
⚡ Start a Quiz on Introductory Calculus: Differentiation
20 questions · 25 min · free

CXC CSEC Additional Mathematics: Introductory Calculus: Differentiation FAQ

How many CXC CSEC Additional Mathematics questions on Introductory Calculus: Differentiation are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Introductory Calculus: Differentiation for CXC CSEC Additional 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 Additional 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 Introductory Calculus: Differentiation practice with other Additional 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 Introductory Calculus: Differentiation questions aligned to the official CXC CSEC Additional Mathematics syllabus?
Every question is written against the published CXC CSEC Additional 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 Introductory Calculus: Differentiation typically tested on CXC CSEC Additional Mathematics papers?
Introductory Calculus: Differentiation appears across multiple question types on real CXC CSEC Additional 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.

Lock in Introductory Calculus: Differentiation before exam day.

Start practising in 30 seconds — no card required.

⚡ Start Quiz Free →