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I'm Up and Down, and Round and Round

CBSE · Class 9 · Mathematics

Practice quiz for I'm Up and Down, and Round and Round — CBSE Class 9 Mathematics. MCQs and questions with answers to test your preparation.

90 questions84 flashcards5 concepts

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Quick Quiz: I'm Up and Down, and Round and Round

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1

For a circle of radius 10 cm, a chord is 12 cm long. What is the perpendicular distance of the chord from the centre?

2

A circle has radius 10 cm. A chord is 16 cm long. What is the distance from the centre to the chord?

3

A circle has radius 15 cm. A chord lies 9 cm from the centre. What is the length of the chord?

4

A right-angled triangle has hypotenuse 18 cm. What is the radius of its circumcircle?

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.

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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.

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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.

Sources & Official References

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

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