Q1. Find the smallest number by which 9408 must be divided to make ita perfect square.
Find the resulting nụmber
3135
and its square root. (4)
Q2. Find the square root of 2.25 (using facfor method). (3) s
Q3. Solve (3)
252 X3 2 S
5-2 X 54X 81
04 Find the value ofx (3)
If 16 X 82 == 2m find m
Q5. Find the Pythagorean triplet if its smallest number is 18. (3)
Q6. Prove that (4)
1 1 1
a+b
X
, C.M.S,KANPUR ROAD CAMPUS
CLASS 8
EXTRA PRACTICE WORKSHEET
EXPONENTS
MCQ:
Q1. If x 84, then findthe greatest possible integer value of x.
(a) 16 (b)15 (c)8
Q2.(212-152)/3=
(a) 36(6)9 (b)1296 e1296)/3 (d)(6)4/3
Always True,Sometimes True or Never True:
Q3. If a <0and n is any odd integer, then the sign of a/n is positive. falo
Q4. If a<0,then a' > 0 SomainoTuie Never u
Short Questions:
Q5. If 53x + 2 = 25 x 514*- 1), then find the value of x.
Q6.. If 21,168 = x4 x y³x z², then find (x+ y+ z)
,where x, y,
and z are positive integers.
x+y
Long Questions:
Q7. If X = atb'c ....z2 and Y = z'y'x* ....... a2b
where, abcd... z =
(64)/54, then find XY.
Q8.Provethat:
2y
Q9. a = 6561, then find the least possible value of (a
xbxc), where a, b, and c are
integers.
Q 10. If x = y² = z* and xz = y² ,then which
of the
following is correct?
(a) z 2xy (b) v
(c) x= Yz =ty
(d) ay: