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Functions: Types of functions — one-to-one, many-to-one, one-to-many
Practice Questions

20 CXC CSEC Mathematics questions on Functions: Types of functions — one-to-one, many-to-one, one-to-many, each with instant feedback and a full examiner-style mark scheme.

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Question 1 · 1 mark · Difficulty 1/3

Which of the following best describes a one-to-one function?

  1. A) Each element in the domain maps to exactly one element in the range, and no two domain elements share the same range element.
  2. B) Each element in the domain maps to more than one element in the range.
  3. C) Two or more elements in the domain map to the same element in the range.
  4. D) Each element in the range maps to exactly one element in the domain only.
Show answer & explanation
✓ Answer: A — A) Each element in the domain maps to exactly one element in the range, and no two domain elements share the same range element.
A one-to-one (injective) function requires every domain element to have a unique image in the range, meaning no two inputs produce the same output. Option C describes many-to-one, and Option B describes a one-to-many relation which is not a function.
Question 2 · 1 mark · Difficulty 1/3

The vertical line test is used to determine whether a graph represents a function. What does the horizontal line test determine?

  1. A) Whether the relation is one-to-many
  2. B) Whether the function is one-to-one
  3. C) Whether the function is many-to-one
  4. D) Whether the domain is restricted
Show answer & explanation
✓ Answer: B — B) Whether the function is one-to-one
The horizontal line test checks if any horizontal line crosses the graph more than once. If it does not, the function is one-to-one. If it crosses more than once, the function is many-to-one.
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CXC CSEC Mathematics: Functions: Types of functions — one-to-one, many-to-one, one-to-many FAQ

How many CXC CSEC Mathematics questions on Functions: Types of functions — one-to-one, many-to-one, one-to-many are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Functions: Types of functions — one-to-one, many-to-one, one-to-many for CXC CSEC 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 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: Types of functions — one-to-one, many-to-one, one-to-many practice with other 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 Functions: Types of functions — one-to-one, many-to-one, one-to-many questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC 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 Functions: Types of functions — one-to-one, many-to-one, one-to-many typically tested on CXC CSEC Mathematics papers?
Functions: Types of functions — one-to-one, many-to-one, one-to-many appears across multiple question types on real CXC CSEC 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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