The World of Numbers — sample questions with answers.

2627 verified the world of numbers questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Multiple choice

The value of |−5/3| is

(A) 5/3	(B) −10/3
(C) −5/3	(D) 0

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(a) 5/3

2 marks Short answer

Find |9/4| and |2/3|, and the distance between 9/4 and 2/3 on the number line.

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|9/4| = 9/4; |2/3| = 2/3; distance = |9/4 − 2/3| = 19/12.

3 marks Short answer

Find 6 distinct rational numbers between 5/2 and 7/2.

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37/14, 39/14, 41/14, 43/14, 45/14, 47/14

5 marks Long answer

(i) Without dividing, decide whether 1/40 and 1/3 have terminating or repeating decimals. (ii) State how many decimal places 1/40 has. (iii) Find the decimal expansion of each. (iv) Convert the repeating one back to p/q to check. (v) Which of the two is closer to 1/2?

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(i) 1/40 terminates (40 = only 2s and 5s); 1/3 repeats (3 has another prime factor). (ii) 3 places. (iii) 1/40 = 0.025; 1/3 = 0.333… (the block '3' repeats). (iv) back-converting gives 1/3 again. (v) compare each with 0.5.

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 9 Mathematics, board-pattern, with a fresh answer key every time.

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