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I'm Up and Down, and Round and Round — Practice Quiz

CBSE · Class 9 · Mathematics

Try a 4-question quiz on I'm Up and Down, and Round and Round for CBSE Class 9 Mathematics: tap an answer to check it and see why.

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.

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?

Show answer

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.

+86 more questions on I'm Up and Down, and Round and Round (CBSE Class 9 Mathematics)

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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?
Key topics in I'm Up and Down, and Round and Round include Basic ideas about a circle, Circles through two and three points, Chords and the angles they subtend, Midpoint and perpendicular of a chord. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for I'm Up and Down, and Round and Round?
There are 90 questions on I'm Up and Down, and Round and Round. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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