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CIE · IGCSE · Additional Mathematics

Functions and Graphs
Practice Questions

16 CIE IGCSE Additional Mathematics questions on Functions and Graphs, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Functions and Graphs.

Try 2 sample questions on Functions and Graphs

Question 1 · 1 mark · Difficulty 1/3

The function f(x) = 2x + 3 is defined for all real numbers. What is the inverse function f⁻¹(x)?

  1. f⁻¹(x) = (x - 3)/2
  2. f⁻¹(x) = (x + 3)/2
  3. f⁻¹(x) = 2x - 3
  4. 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.
Question 2 · 1 mark · Difficulty 2/3

Given that f(x) = 3x - 5 and g(x) = x² + 2, what is the value of gf(2)?

  1. 3
  2. 11
  3. 23
  4. 43
Show answer & explanation
✓ Answer: B — 11
Award 1 mark for correct composite function evaluation. First find f(2) = 3(2) - 5 = 1. Then g(1) = (1)² + 2 = 3. Wait, let me recalculate: f(2) = 6 - 5 = 1, g(1) = 1 + 2 = 3. Actually the answer should be 3. Let me verify the options match. Correction: gf(2) means g(f(2)). f(2) = 1, g(1) = 3. A is correct. Adjusting: ✓ Answer: 3. A is correct — f(2) = 1, then g(1) = 3. B is incorrect — this results from calculating fg(2) instead. C is incorrect — this adds f(2) and g(2) separately. D is incorrect — this squares the sum incorrectly.
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CIE IGCSE Additional Mathematics: Functions and Graphs FAQ

How many CIE IGCSE Additional Mathematics questions on Functions and Graphs are there on Kramizo?
Kramizo currently has 16 exam-board-aligned practice questions on Functions and Graphs for CIE IGCSE 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 CIE 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 CIE IGCSE 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 Functions and Graphs practice with other Additional Mathematics topics or even switch to a totally different CIE 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 Functions and Graphs questions aligned to the official CIE IGCSE Additional Mathematics syllabus?
Every question is written against the published CIE IGCSE 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 CIE 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 CIE.
How is Functions and Graphs typically tested on CIE IGCSE Additional Mathematics papers?
Functions and Graphs appears across multiple question types on real CIE IGCSE 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.

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