Workmatics

DNYANADA ENGLISH SCHOOL
.




Worksheet Name: Number System Standard: 9th Subject: Mathematics

Q1. Express 0.6 + 0.7 + 0.47 in the form
p
where p and q are integers and q ≠ 0.
¯
¯¯ ¯
¯¯
,
q



Q2. Find the values of a and b in the following:
7+√5 7−√5 7
− = a + √5b
7−√5 7+√5 11



Q3. Rationalise the denominator of the following:
4√3+5√2

√48+√18



Q4. Simplify the following:
2
(√3 − √2)

p
Q5. Express the following in the form q
, where p and q are integers and q ≠ 0:
.404040...
Q6. Represent geometrically the following numbers on the number line:
√5.6

p
Q7. Express the following in the form q
, where p and q are integers and q ≠ 0:
¯¯
¯¯¯
¯¯¯
0.134


Q8. Represent geometrically the following numbers on the number line:
√4.5


Q9. Find the values of a and b in the following:
5+2√3
= a − 6√ 3
7+4√3

p
Q10. Express the following in the form q
, where p and q are integers and q ≠ 0:
.00323232...
Q11. Locate √17 on the number line.
Q12. Rationalise the denominator of the following:
2+√3


2−√3

p
Q13. Express the following in the form q
, where p and q are integers and q ≠ 0:
¯
¯¯
5.2


Q14. Simplify:
3
−
2
−(4 )
(256)


Q15. Simplify:
1 1

3 3
8 ×16
1
−
3
32



Q16. Simplify the following:
7
3√3 + 2√27 +
3



Q17. Find three rational numbers between:
5

7
and 6

7



Q18. Find three rational numbers between:
1

4
and 1

5



Q19. Insert a rational number and an irrational number between the following:
2.357 and 3.121
Q20. Insert a rational number and an irrational number between the following:
and
−2 1

5 2