Download Maths - Kendriya Vidyalaya No.3 AFS, Nal, Bikaner

HOLIDAY HOMEWORK- SUMMER VACATION (2013-14)
15.05.13 TO 23.06.17 ( 40 DAYS)
CLASS:X A
SUB:- MATHEMATICS
Development of Computation Skills
I) Write and learn the tables 11 to 25 and Prime numbers upto 150.
II) Write and learn squares of first 40 natural numbers and cubes of first 20 natural numbers.
III) Performs multiplication using Vedic maths( solve 5 for each examples)
(a) two digit no. X two digit no. (b) numbers nearer to 100 , 1000 (c) squares of no. ending with 5
taking three digit numbers.
Development of Creativity and Aesthetic sense of Maths
I) Find 5 Mathematical puzzles or Brain Teasers (not from the NCERT textbooks) and solve them
systematically.
II) Compose or collect a poem on Maths which shows indifference of Maths with life, beauty of
Maths,Nature of Maths , Role of Maths , Fun with Maths etc.
Project and Assignment
I) Life sketch and contribution of two mathematicians including one Indian Mathematicians
( Group work)
II) Prepare a PPT –chapter wise ( 3 PPT’s for each group) with 20-25 no. of slides
III) Frame 5 MCQ’s from Chap-1 , Chap-2 and Chap-3 each and solve.
Extra Questions
Chap-1( Real Numbers)
I) Show that any one out of a, a+2 and a+4 is divisible by 3.
II) Express 0.393 as a rational number in p/q form.
III) Without actual division , find whether the rational number
terminating decimal expansion.
1323
has a terminating or non6  352
3
3
 9   49 
IV) If     
 7   81 
(a) 12
2 x6
9
7
   , the value of x is
9
(b) 9 (c) 8
(d) 6
(V) If mn = 32 where m and n are positive integers then the value of n mn is
(a) 32 (b) 25 (c) 510 (d) 525
Chap-2 (Polynomials)
I) Solve all the questions from Ex 2.4(optional) systematically.
II) If the sum of the zeroes of quadratic polynomial 3x 2  kx  6 is 3 , then the value of k is(a) 3
(b)
-3 (c) 6 (d) 9
(III)The third zero of the polynomial x3  7 x 2  2 x  14, if its two zeroes are
(a) 7 (b) -7
(c)
14
2 &  2 is-
(d) -14
IV) What do you understand by the value of a polynomial at a given point ?
V) If m and n are zeroes of the polynomial 3x 2  11x  4 find the value of
m n

n m
VI)If a and b are zeroes of the polynomial x 2  x  6 find the duadratic polynomial whose zeroes are
(3a-2b) and (2a+3b).
Chap-3( Linear Equation in two variables)
I) If 31x+43y=117 and 43x+31y=105 then the value of x-y –s(a) -3 (b) 1/3
(c) -1/3
(d) 3
II) If (6,k) is the solution of the equation 3x+y+22=0 then the value of k is(a) -4 (b) 4 (c) 3 (d) -3
III) Show that x=4 and y= 5 is not a solution of the pair of Linear equations x-3y=1 and 2x+y= 11
IV) If 28x+17y= 63 and 17x+28y=62 , Find the value of (x+y) and (x-y).
Mr. Ishwar Singh
TGT(Maths)
HOLIDAY HOME WORK
CLASS-X
Q.1 if 1 is a zero of polynomial p(x) = ax2-3(a-1)x-1, find the value of a.
Q.2 if
(I)
2
+
and
2
(ii)
be zeroes of the polynomial 2x2+3x-6. Find:
2
+
2
(iii) +
(iv) +
Q.3 find the zeroes of a quadratic polynomial 4x2-4x-3 and verify the relation between the zeroes and coefficient.
Q.4 Find a quadratic polynomial whose zeroes are -4 and 3 and verify the relation between the zeroes and
coefficient.
Q.5 If the polynomial x4+2x3+8x2+12x+18 is divided by another polynomial x2+5, the remainder comes out to be
px+q. find the value of p and q.
Q.6 if
and -
are the zeroes of the polynomial x3+3x2-5x-15 find its third zero.
Q.7 if two zeroes of the polynomial x3-4x2-5x+12 are
and -
find its third zero.
Q.8 find all the zeroes of the polynomial x4+x3-34x2-4x+120 if two zeroes are 2 and -
.
Q.9 find the HCF of 960 and 432.
Q.10 find the HCFXLCM for no. 100 and 190.
Q.11 if p/q is a rational (q=0). What is condition on q so that the decimal representation of p/q is terminating.
Q.12 the HCF of 45 and 105 is 15 write LCM
Q.13 Write the HCF of smallest composite number and smallest prime number
Q.14 Sum of two irrational number is necessary
Q.15 Write a rational number between √2 and √3
Q.16 Write whether 2√45 + 3√20/2√5 on simplification gives a rational of a irrational
Q.17 Find the value of 4√(81)²
Q.18 Prove that 2-3√5 is irrational number
Q.19 Prove that √5 is irrational number
Q.20 Use Euclid division algorithm to show that square of any positive integer is either of form of 3m ,
3m+1 ,3m+2 where m is some integer
Q.21 Show that any positive odd integer is the form 6q+1 , 6q+3 , or 6q+5 where q is some integer
Q.22 Use euclid division algorithm to find HCF of 867 and 230
Q.23 If x+a is a factor of 2x² +2ax +5x+10 find value of a
Q.24 Write the zero of polynomial x²-x-6
Q.25 Write the polynomial the product and sum of whose zero and -13/5 and -3/5 respectively
Q.26 If α and β are the zero of polynomial 2y² +7y+5 write the value of α+β + αβ
Q.27 If α and β are zero of polynomial such that α+β =6 and αβ = 4 then write polynomial
Q.28 If one zero of polynomial x²-4x+1 is 2+√3 write other zero.
Solve all the examples of chapter 1 and 2 itself
Prepare a model on any topic related to maths (FA – I Activity)
NOTE:- DO ALL HOLIDAY HOME WORK ON A SEPRATE NOTE BOOK.