FORMATIVE TEST PAPER JULY2010

JAWAHAR NAVODAYA VIDYALAYA HOTHPETH GULBARGA
UNIT TEST FIRST (July 2010)
Mathematics: IX Max marks:40
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QUESTIONS OF ONE MARK EACH
1) The number (3 – √7)(3+√7) is -------------
(a) Rational number, (b) An irrational number.
(c) a natural number . (d) Both (a) and (c).
2) Every rational number is -----------
(a) a whole number . (b) a natural number (c)Real number .
(d) An integer
3) Among the fallowing an irrational number is ---------
(a) 0.25. (b)1.27272727… (c) 0.235.(d)0.15015001500015…
4) Between two natural number there is /are
(a) Infinite number of rational numbers. (b) One and only one rational number (c) No rational number. (d) No irrational number
5) Rationalising factor of denominator
(a) 3+√5. (b) 3-√5(c) √3+ 5.(d). √3 - 5
6. The polynomial x2 -2x is --------------
(a). a trionomial, (b) a binomial , (c)a monomial , (d). None of them
7) If x 101 -101 is being divided by x+1 then remainder is ----------
a) 1, b) 102, c) 0, d) 100
8) If x+1 is a factor of polynomial x2-x+k then value of K is
a)1 , b)0 c) 2 , d) -2,
9 zeros of polynomial P(x)= 2x-7 is --------
a)0 , b)7, c) , d) ,
10) If x21-20 is being divided by x+1 the remainder is ----
a)21 , b)-21, c) 20, d) -20
11) equal to
a) , b) √3+√2 c) √3-√2 d) (√3-√2)/2
12)whichbof the fallowing is a polynomial
(a) b) √2x-1 c)x2+3x 3/2 d)



QUESTIONS OF TWO MARKS EACH

13) Find the value of without actually division if =0.142857
14) Find the value of [{(625)1/2}1/4 ]2 .


15) If √3=1.732 and √2=1.414.then Find value of (√3+ √2) ÷ (√3- √2)

16) Find the value of K if x+3 is a factor of 3x2 +kx+6
17) Use the remainder theorem to find remainder for p(x)=x4-3x2+2x+1 when
divided by (x-1)
QUESTIONS OF THREE MARKS EACH

18) .Represent √3.5 on a number and write the steps of construct

19) Express 0.123 in the form of
20)) If x+1 is a factor of ax3+x2-2x+4a-9 then determine the value of “a”.
21)Simplify: {(25)3/2 x (243)3/5 } ÷{ (16)5/4 x(8)4/3}
QUESTIONS OF FOUR MARKS EACH
22) If a and b are rational numbers and = a + √5 b then find
the values of a and b
23) If a= 9+4√5 and b= determine the value of the followings
a) a 2+b2 b) a 3+b3

24)Use factor theorem to factorize : x3+13x2+32x+20
25) If x2 +1/x2 =14 obtain the value of x3+1/x3
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