Practice Paper - HOTS
Subject: Math Ch 1_Number System
Std:IX
Q. No. Questions
1. Represent the following on a number line:
3 12
7.2, ,
2 5
2. p
Express 0.6 0.7 0.47 in the form of , where p and q are integers and q≠0.
q
3.
Simplify : 4 3 22
4. 1
If a 7 4 3 , find the value of a
a
5. 1
If x 5 2 6 , find the value of x 2
x2
6. 1
If a 5 2 7 find a 3
a3
7. 3 2 3 2
If x and y ; find x 2 y 2
3 2 3 2
8. Express each of the following having a rational denominator:
1
a.
1 2 3
1
b.
6 5 11
9. If x 5 5 , find the value of 10x 7 x2 x3
10. 1
If x prove that x3 2x2 7 x 5 3
2 3
11. 32 6 43
Simplify
6 3 3 2 6 2
12. 7 3
25 32
Simplify
10 3 6 5 15 3 2
13. 3 5 b
Find the values of a and b in a 5 .
3 2 5 11
CB/IX/2223 Ch 1_Number System page 1 of 2
Subject: Math Ch 1_Number System
Std:IX
Q. No. Questions
1. Represent the following on a number line:
3 12
7.2, ,
2 5
2. p
Express 0.6 0.7 0.47 in the form of , where p and q are integers and q≠0.
q
3.
Simplify : 4 3 22
4. 1
If a 7 4 3 , find the value of a
a
5. 1
If x 5 2 6 , find the value of x 2
x2
6. 1
If a 5 2 7 find a 3
a3
7. 3 2 3 2
If x and y ; find x 2 y 2
3 2 3 2
8. Express each of the following having a rational denominator:
1
a.
1 2 3
1
b.
6 5 11
9. If x 5 5 , find the value of 10x 7 x2 x3
10. 1
If x prove that x3 2x2 7 x 5 3
2 3
11. 32 6 43
Simplify
6 3 3 2 6 2
12. 7 3
25 32
Simplify
10 3 6 5 15 3 2
13. 3 5 b
Find the values of a and b in a 5 .
3 2 5 11
CB/IX/2223 Ch 1_Number System page 1 of 2
