O P JINDAL MODERN SCHOOL
MATHEMATICS
CLASS – IX
HOLIDAYS ASSIGNMENT
Q1 Write two rational and two irrational numbers between 1/2 and
1/7.
Q2 Express the following in p/q form:
(i)
0.163
(ii) 32.17
(iii)
3.012
Q3 Examine whether the following numbers are rational or irrational
:
(i)
( √2 – 2)2
(ii) (3- √3 ) (3+ √3 ) (iii) (6√27) / (2√3)
Q4 If x= 2 + √3 , find the following:
(i)
x+
1
(ii) x2 +
𝑥
1
𝑥2
Q5 If x2 = 0.04, what type of number a is ?
4
Q6 Express 3 in the decimal representation and state the kind of
5
decimal expansion.
Q7 Write the value of
√32+√48
.
√8+√12
Q8 Determine the point on the graph of the linear equation x + y = 6 ,
whose ordinate is 2 times its abscissa.
Q9 Find a if
5+2√3
7+4√3
= a - 6√3
Q10 Find the value of k for which x = 0, y — 8 is a solution of
equation 3x – 6y = k.
Q11 Represent 2+ √5 and √17 on number line.
Q12 Find the coordinates of the points where the line represented
by 3x + 4y = 12 cuts x-axis and y- axis.
Q13 Prove that
1
2+√3
√6
Q14 Simplify
√2+√3
+
+
2
√5− √3
3
√6+√3
-
-
1
2−√5
=0
4√3
√6+√2
Q15 Simplify :
√
81
64
*∛
64
125
*(
5
√3
)2
Q16 If 2x+5 * 32x-9 = 3072 , find x.
Q17 . An ant moves 5 meters in the east direction and 5 meters
in the south direction. What is the position of the ant in the
coordinate axes assuming origin to be the point from where she
starts travelling?
Q18 Represent x=2, x=4, y=2 , y=4 on the same graph and shade the
region enclosed by these lines and find its area.
Q19 If
√11−√7
√11+√7
= x- y √77 , find values of x and y where x and y are
rational numbers.
Q20 Give geometric representation of 3x + 1 = 2x – 4 as an equation
in (i) one variable (ii) in two variables.