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Important Questions

Inequalities

ICSE · Class 9 · Mathematics

Most important questions from Inequalities for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

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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28 Questions·
multiple choicemultiple correcttext answerorderingtrue falsematching

Sample Questions

1multiple correct

Which of the following sets of lengths can form a triangle?

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3, 4, 5, 5, 12, 13, 6, 8, 10

Step 1: Apply triangle inequality - sum of any two sides > third side. Step 2: Check each set: (3,4,5): 3+4=7>5 ✓, 3+5=8>4 ✓, 4+5=9>3 ✓. (2,3,6): 2+3=5<6 ✗. (5,12,13): All conditions satisfied ✓. (1,2,4): 1+2=3<4 ✗. (6,8,10): All conditions satisfied ✓.

2text answer

If two sides of a triangle are 8 cm and 15 cm, what is the range of possible values for the third side?

3multiple correct

Which of the following statements about triangle inequalities are correct?

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Sum of any two sides > third side, Difference of any two sides < third side, Largest angle is opposite to largest side, Perpendicular is the shortest distance

Step 1: Triangle inequality states sum of two sides > third side ✓. Step 2: Difference of two sides < third side ✓. Step 3: In a triangle, largest angle is opposite to largest side ✓. Step 4: Sum of angles = 180° is true but not an inequality ✗. Step 5: Perpendicular distance is shortest ✓.

4ordering

Arrange the following steps to prove that in a triangle, the sum of any two sides is greater than the third side:

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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.
How many important questions are there in Inequalities?
There are 28 practice questions available for Inequalities. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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