This page gives you a revision route in a sensible order and an honest checklist for every topic. Print it or copy it, and tick only what you can do on a fresh question.
It works beside the Additional Mathematics guide, which explains how the topics connect. For exam format, read the exam guide and confirm details on the Lembaga Peperiksaan website.
How should I use the checklist?
Take each “I can” line and test it with one question you have not seen before. Tick it only if you finish without notes and can say why each step is there.
Leave a line blank if you needed a worked example. A blank line is useful, since it tells you what to revise next.
Which order makes sense?
Revise in the order below. The algebra in the first group is used by almost everything after it.
| Stage | Topics | Why here |
|---|---|---|
| 1. Algebra base | Functions, Quadratic functions, Indices, surds and logarithms | Later topics reuse these every line |
| 2. Patterns and lines | Systems of equations, Progressions, Linear law, Coordinate geometry | Apply the algebra to sequences and graphs |
| 3. Geometry and data | Vectors, Solution of triangles, Index numbers, Circular measure | Separate skills that lean on stage 1 |
| 4. Form 5 calculus and counting | Differentiation, Integration, Permutations and combinations | Depend heavily on stage 1 algebra |
| 5. Form 5 applications | Probability distributions, Trigonometric functions, Linear programming | Combine earlier skills in new settings |
What is the I-can checklist?
Copy these lines and tick them as you go.
Stage 1: algebra base
- I can find fg(x) and gf(x) and say which function acts first.
- I can find the sum and product of roots without solving.
- I can use b² − 4ac to say how many real roots there are.
- I can complete the square and read the turning point.
- I can solve a quadratic inequality and write the interval correctly.
- I can simplify indices and surds and solve a simple logarithm equation.
Stage 2: patterns and lines
- I can solve a pair of equations where one is quadratic.
- I can tell an arithmetic progression from a geometric one and find T_n and S_n.
- I can decide when the sum to infinity exists.
- I can turn a curved relationship into a straight line using logarithms.
- I can find the equation of a line and the distance between two points.
Stage 3: geometry and data
- I can add and scale vectors and use them to prove points are collinear.
- I can choose between the sine rule and cosine rule for a triangle.
- I can find an index number and a composite index.
- I can convert between degrees and radians and find arc length and sector area.
Stage 4: Form 5 calculus and counting
- I can differentiate a polynomial and find a gradient and stationary point.
- I can integrate a polynomial and find the area under a curve.
- I can decide between a permutation and a combination from the wording.
Stage 5: Form 5 applications
- I can check the conditions for a binomial model and calculate a probability.
- I can standardise a normal variable and read a tail from the table.
- I can sketch a trigonometric graph and solve a simple equation.
- I can set up and read a linear programming region from constraints.
What does a weekly pattern look like?
Adjust this pattern to your school timetable. The numbers are a starting point that you change after the first week.
- Two sessions on the weakest stage-1 skill. Do fresh questions, not rereading.
- One session on the current school topic. Use a practice set and mark it honestly.
- One session on mistakes. Record each wrong step in the mistake log and paper-error review.
- One short recall session. Try two or three old checklist lines from memory, using the spaced recall planner.
Plan the weeks with the realistic revision planner, and log which lines you have actually ticked with the skill evidence tracker.
When should I move on from a topic?
Move on when you can tick the topic’s lines on fresh questions, even if the last question was not perfect. Return to it once a week with one question.
If a topic stays blank after a few honest attempts, more rereading rarely helps. That is a good point to ask a teacher, and online one-to-one Additional Mathematics tuition works from the questions you have not been able to finish. Keep the glossary open for terms, and read the Form 4 and Form 5 overviews if you want a broader map.