How do you answer questions on IB Mathematics Paper 3?

1. Read the whole question carefully before starting to solve any part. This will help you to understand the whole problem and see how the different parts relate to each other.

2. Draw a clear diagram showing the geometry of the situation. Label all the relevant points, lines, angles, etc. This will help you visualise what’s happening.

3. For each part, identify what variables/quantities are given and what needs to be determined. Write this down clearly.

4. Use the relevant equations from your knowledge or as given in the question. Identify formulae that relate the given and unknown variables.

5. Show any step-by-step work clearly, with units. Don’t skip any mathematical or logical steps.

6. Check that the answer makes physical sense in the context of the problem. Avoid silly mistakes.

7. When graphing parts, make sure the axes are clearly labelled with variables and scale. Mark and label important points on the graph as required.

8. Carry forward answers from previous parts as they become known/variables in later parts.

9. Present final answers neatly with clear references back to the question – e.g. “(a)”, “(b)(i)”, etc.

10. Check your work for completeness, consistency of units and reasonableness before submitting. Consider asking a classmate to check it.

It is important to break down problems into logical steps and show all the work. Drawing a clear diagram helps to visualise and connect all aspects of the problem. It’s worth taking the time to fully understand what’s being asked.