ICSE Board Practice

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ICSE Grade IX - Rational and Irrational Numbers

Question 1

1.	Rationalise the denominator of ( − 2 √ 9 + √ 8 ) ( 3 √ 5 − 4 √ 7 ) =
	( 18 67 √ 5 − 6 67 √ 10 + 24 67 √ 7 − 8 67 √ 14 ) ( 18 67 √ 2 − 6 67 √ 10 + 24 67 √ 7 − 8 67 √ 14 ) ( 18 67 √ 5 − 6 67 4 √ 10 + 24 67 √ 7 − 8 67 √ 14 ) ( 18 67 √ 5 − 6 67 √ 10 + 24 67 √ 7 − 8 67 √ 16 ) ( 18 67 √ 5 − 6 67 √ 10 + 24 67 4 √ 7 − 8 67 √ 14 )

Question 2

2.	Express 2 7 as a decimal correct to 2 decimal places
	0.29 0.19 0.49 0.09 0.39

Question 3

3.	8.199 =
	8199 100 8199 10 8199 1000 8199 10000 8199 100000

Question 4

4.	Find the position of the decimal number 2.7 on the number line
	S L Q J N

Question 5

5.	Find the difference of the decimal numbers at the points labelled with letters Q and R
	0.4 -0.1 0.6 0.7 0.2

Question 6

6.	Which of the following symbols represent the set of Natural numbers ?
	N Q W R Z

Question 7

7.	Express 33 28 as a decimal correct to 2 decimal places
	1.28 0.98 1.08 1.18 1.38

Question 8

8.	The rationalising factor of ( − 9 √ 3 − 5 √ 8 ) =
	( − 9 √ 3 + 20 ) ( − 9 √ 6 + 10 √ 2 ) ( − 9 √ 1 3 + 10 √ 2 ) ( − 9 √ 3 + 10 √ 2 ) ( − 9 √ 3 + 10 4 √ 2 )

Question 9

9.	The decimal number 812.24 lies between
	{812,813} {811,812} {814,815} {810,811} {813,814}

Question 10

10.	Find the sum of the decimal numbers at the points labelled with letters H and I
	11.3 11.7 11.6 12

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