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Study Plan

Inequalities — Study Plan

ICSE · Class 9 · Mathematics

A step-by-step study plan for Inequalities, ICSE Class 9 Mathematics: what to learn first, what to practise and when to revise.

28 questions25 flashcards12 formulas & key relations5 concepts

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A diagram illustrating Theorem 3: If two sides of a triangle are unequal, the greater side has the greater angle opposite to it. Show triangle ABC with AB > AC, and highlight the angles opposite to th
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Basic Symbols and Meaning, 2. Triangle Side-Angle Relationships, 3. Perpendicular from an Outside Point.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 28 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Inequalities after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • > means greater than
  • < means less than
  • These signs help compare quantities clearly
  • Greater side in a triangle is opposite greater angle
  • Theorem 3 starts from unequal sides
  • A common proof tool is to cut a segment equal to another side
  • Theorem 4 is the converse of Theorem 3
  • Greater angle in a triangle is opposite greater side
  • Construction of an equal angle is used in the proof

Common Mistakes to Avoid

If two sides of a triangle are unequal, the smaller side has the greater angle opposite to it.

If two angles of a triangle are unequal, the smaller angle has the greater side opposite to it.

Theorem 4 and Theorem 3 mean the same thing and can be used in any order without checking the starting information.

Memory Tips

Meaning of greater than and less than signs

Theorem 3: greater side has greater opposite angle

Theorem 4: converse of Theorem 3

Theorem 5: perpendicular is the shortest line from an outside point to a line

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Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 9 Mathematics?
Key topics in Inequalities include Basic Symbols and Meaning, Triangle Side-Angle Relationships, Perpendicular from an Outside Point, Triangle Inequality Results. Study these first, then practise questions on each for Class 9 exams.
How should I revise Inequalities for Class 9 exams?
Learn the core ideas first, then work through the 28 practice questions on Inequalities. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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