Revision map

Fix the right Maths problem before the next paper.

This MathPert IGCSE Maths revision map turns messy revision into a clear worksheet: sort topics, name the weak step, repair the repeated mistake, and retest before doing another full paper.

Core idea

Revision should not start with "do more papers".

Many students revise by opening a past paper, getting stuck, checking the answer, and moving on. That can feel productive, but it often leaves the same weak step untouched.

MathPert revision rule

Do not revise everything equally. Fix the repeated weak step first. Then practise changed questions. Then test the method under exam pressure.

Understanding first. Score next.

Step 1

Sort each topic honestly

For each topic, choose the status that best describes the student's current ability. This is not a confidence exercise. It is a repair plan.

Secure

I can usually solve this topic without looking at notes.

Shaky

I understand part of it, but I still make mistakes when the question changes.

Unknown

I do not know how to start, or I only recognise the topic after seeing the answer.

Repeated mistake

I keep losing marks in the same type of step, even after revising it.

Step 2

IGCSE Maths topic map

Instead of one long messy checklist, use these grouped sections. Mark one status per topic and use the notes line to name the exact weak step.

Number and proportion

Foundation fluency
Number operations
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Notes
Fractions, decimals, percentages
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Ratio and proportion
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Standard form
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Bounds and approximation
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Algebra and functions

Symbol control
Algebra simplification
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Expanding and factorising
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Solving linear equations
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Simultaneous equations
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Quadratic equations
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Inequalities
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Sequences
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Functions
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Indices and surds
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Graphs and coordinate geometry

Visual method
Graphs of straight lines
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Curved graphs
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Coordinate geometry
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Geometry and measurement

Diagram thinking
Angle properties
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Bearings
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Similarity and congruence
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Pythagoras' theorem
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Trigonometry
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Mensuration
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Vectors
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Transformations
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Probability and statistics

Interpretation
Probability
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Statistics
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Cumulative frequency / box plots
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Step 3

Find the real problem

Do not stop at broad labels such as "weak in algebra". A useful revision map names the exact step that is leaking marks.

Algebra
Too general: I am bad at algebra.
Better: I make sign errors when moving terms across the equals sign.
Trigonometry
Too general: I do not understand trigonometry.
Better: I cannot decide whether to use sin, cos, or tan.
Graphs
Too general: I cannot do graphs.
Better: I lose marks when finding gradient from two points.
Bounds
Too general: Bounds are confusing.
Better: I do not know when to use upper bound or lower bound.
Probability
Too general: Probability is hard.
Better: I mix up "and" and "or" probability questions.
Step 4

Choose what to fix first

Repeated mistakes

Fix these first because they are already costing marks.

Shaky foundation topics

These topics affect harder chapters later.

Unknown topics

These need proper teaching, not just more practice.

Secure topics

Do light maintenance only. Do not spend too much time here.

Step 5

One-week repair cycle

This plan is deliberately structured. It moves from diagnosis, to repair, to changed questions, to exam-style testing.

Day 1: Diagnose

Choose 2 to 3 weak topics. Do a few questions without notes. Mark where the first mistake happens.

Day 2: Repair

Review the method. Rewrite the correct steps clearly. Do not rush to full past-paper questions yet.

Day 3: Changed questions

Try questions that look slightly different from the examples. Test understanding, not memory.

Day 4: Mixed practice

Mix the weak topic with other topics. Check whether the method still works when the topic is not obvious.

Day 5: Exam-style

Attempt exam questions under time pressure. Mark working steps, not only final answers.

Day 6: Error review

Record repeated mistakes. Write the correct method beside each mistake.

Day 7: Retest

Redo similar questions without notes. If the same mistake appears again, the topic is not secure yet.

Step 6

Mistake log

Do not only write "careless mistake". Most careless mistakes have a pattern.

DateTopicQuestion typeMistake madeCorrect methodRetest date

Common mistake patterns

  • Skipped one algebra step
  • Copied the number wrongly
  • Used the wrong formula

More patterns

  • Rounded too early
  • Did not check units
  • Did not answer the exact question asked

What to write instead

Write the exact point where the thinking broke. That is the part to repair and retest.

Step 7

Before doing another past paper, ask this

1

Which topic caused the most lost marks last time?

2

Was the mistake due to concept, method, speed, or careless working?

3

Did I fix the weak step, or did I only read the solution?

4

Can I solve a changed version of the question?

5

If the same topic appears tomorrow, will I know what to do?

Questions parents ask

Common questions

Not always. Past papers reveal what went wrong, but a revision map helps the student decide what to fix first before attempting more papers.

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