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Important Questions

I'm Up and Down, and Round and Round

CBSE · Class 9 · Mathematics

Most important questions from I'm Up and Down, and Round and Round for CBSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

90 questions84 flashcards5 concepts

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90 Questions·
multiple choicetrue falsenumerical

Sample Questions

1multiple choice
3 marks

A right-angled triangle has legs of 6 cm and 8 cm. Find the distance between the circumcentre and each vertex.

Show answer

5 cm and 5 cm for the two acute vertices, 5 cm for the right angle vertex too

First find the hypotenuse: √(6² + 8²) = √(36 + 64) = √100 = 10 cm. The circumcentre of a right triangle is the midpoint of the hypotenuse, so the circumradius is 10 ÷ 2 = 5 cm. The circumcentre is 5 cm from all three vertices.

2multiple choice
3 marks

A circle has radius 17 cm. A chord is 16 cm long. What is the distance of the chord from the centre?

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15 cm

Half the chord is 8 cm. Distance = √(17² - 8²) = √(289 - 64) = √225 = 15 cm.

3multiple choice
3 marks

A chord is 30 cm long in a circle of radius 25 cm. Find the perpendicular distance of the chord from the centre.

Show answer

20 cm

Half the chord is 15 cm. Distance = √(25² - 15²) = √(625 - 225) = √400 = 20 cm.

4multiple choice
3 marks

Two chords of a circle are 18 cm and 24 cm long. Which chord is nearer to the centre, and by how many centimetres if the radius is 15 cm?

Show answer

The 24 cm chord, by 3 cm

For 18 cm, half is 9 cm, so distance = √(15² - 9²) = √(225 - 81) = √144 = 12 cm. For 24 cm, half is 12 cm, so distance = √(225 - 144) = √81 = 9 cm. The 24 cm chord is nearer by 12 - 9 = 3 cm.

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Frequently Asked Questions

What are the important topics in I'm Up and Down, and Round and Round for CBSE Class 9 Mathematics?
I'm Up and Down, and Round and Round covers several key topics that are frequently asked in CBSE 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 I'm Up and Down, and Round and Round — CBSE Class 9 Mathematics?
Understand the core concepts first, then work through the 90 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 I'm Up and Down, and Round and Round?
There are 90 practice questions available for I'm Up and Down, and Round and Round. 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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