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Inequalities

ICSE · Class 9 · Mathematics

Step-by-step guide to study Inequalities in ICSE Class 9 Mathematics. Topics to cover, practice strategy, and time allocation.

28 questions25 flashcards5 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 concepts.

2
Day 3

Practice Problems

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

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Inequalities after a week. Use flashcards for quick recall. Solve previous year questions from 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?
Inequalities covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Inequalities — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 28 practice questions available for this chapter. Revise formulas and 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.

More resources for Inequalities

All 28 chapters — ICSE Class 9 Mathematics Study Plan

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