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Important Questions

Inequalities — Important Questions

ICSE · Class 9 · Mathematics

28 important questions from Inequalities for ICSE Class 9 Mathematics, with answers. Includes multiple choice, multiple correct and text answer questions.

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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28 Questions·
multiple choicemultiple correcttext answerorderingtrue falsematching

Important Questions from Inequalities

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:

+24 more questions on Inequalities (ICSE Class 9 Mathematics)

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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 many important questions are there in Inequalities?
Super Tutor has 28 practice questions for Inequalities, including multiple choice, multiple correct, text answer, ordering, true false, matching questions. A sample with answers is on this page.

Sources & Official References

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

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All ICSE Class 9 Mathematics Important Questions

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