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IMAT Mathematics

IMAT Mathematics: study guide and practice

Mathematics preparation depends on fluency and choosing efficient methods. Strengthen arithmetic and algebra first, then connect equations to functions, geometry, and probability. Show enough working to identify why an answer is correct and to diagnose a wrong one.

Try 2 practice questionsBrowse the topics

By MEDichondria · Updated · About our content

Topic map

What to study in Mathematics

These topics follow MEDichondria's mapped curriculum. Check the annual MUR syllabus for the binding content scope of your admission cycle.

  • Numbers & Arithmetic
  • Algebra
  • Functions
  • Geometry
  • Trigonometry
  • Logarithms & Exponentials
  • Sequences & Series
  • Combinatorics & Probability
  • Statistics

See Mathematics in the complete syllabus. Physics and Mathematics are separate study tracks here; the 2026 decree grouped their exam questions together.

Study sequence

Build the foundations, then apply them.

  1. Step 1

    Secure numerical and algebraic operations

    Work with fractions, percentages, powers, and roots without losing signs. Solve linear and quadratic equations and inequalities, checking solutions in the original expression.

  2. Step 2

    Connect representations

    Move between an equation, a graph, and a verbal description. Review function domains, logarithms, trigonometry, and coordinate geometry. Draw geometry problems and label known quantities.

  3. Step 3

    Count and interpret uncertainty

    Distinguish arrangements from selections in counting problems. Use sample spaces and conditional probabilities, then practise reading distributions, averages, and measures of spread.

Fit these steps into a weekly IMAT study plan.

Common mistakes

Know what to check before choosing an answer.

  • Dividing by an expression that might be zero.
  • Forgetting to reverse an inequality when multiplying by a negative number.
  • Assuming draws without replacement are independent.
  • Confusing a percentage-point change with a percentage change.

Original practice

2 Mathematics questions, with reasoning

These introductory IMAT-style teaching examples are written for this guide. They are not official past-paper questions or a prediction of the next exam. Choose an answer and state your reasoning before opening the solution.

Example 1 · Algebra

Solve 3(2x − 1) = 15. What is x?

  1. A.2
  2. B.3
  3. C.4
  4. D.6
  5. E.9
Show answer and worked explanation

Answer B: 3

Divide both sides by 3 to obtain 2x − 1 = 5. Add 1, then divide by 2: x = 3.

Check the original expression: 3(2 × 3 − 1) = 3 × 5 = 15. Keeping the bracket intact avoids a distribution error.

Example 2 · Probability

A bag contains three red balls and two blue balls. Two balls are drawn randomly without replacement. What is the probability that both are red?

  1. A.1/5
  2. B.3/10
  3. C.9/25
  4. D.2/5
  5. E.3/5
Show answer and worked explanation

Answer B: 3/10

The first draw is red with probability 3/5. Given a red first draw, two red balls remain among four balls, so the second probability is 2/4.

Multiply the conditional probabilities: (3/5) × (2/4) = 3/10. Squaring 3/5 would describe independent draws with replacement.

Learn how to review mistakes and progress to timed IMAT sets.

For further background study: OpenStax Algebra and Trigonometry 2e. This textbook is a supporting resource, not the official IMAT syllabus.

Subject guides

Choose a subject. Try a worked example.

Use these public guides to plan your study order, identify common mistakes, and practise with original questions and explained answers before opening the full workspace.

MEDichondria workspace

Continue your Mathematics preparation.

Use the full workspace for focused lessons, configurable timed question sets, and saved review progress.

Open the workspace