Download Summer HHW Class 10 Maths - Kendriya Vidyalaya Bairagarh

KENDRIYA VIDYALAY BAIRAGARH
HOLIDAY HOME WORK CLASS 10
Chapter 1
1.
2.
3.
7.
State the fundamental theorem of Arithmetic.
Express 2658 as a product of its prime factors.
Show that the every positive even integer is of the form2q and every positive odd integer is of the
form2q+1where q is some integer.
Use Euclid’s division algorithm to find the HCF of a)1288 and 575 b)867 and 255
Prove that
is not a rational number.
Find the largest positive integer that will divide 122, 150 and 115 leaving remainder 5, 7 and 11
respectively.
Using prime factorization method, find the HCF and LCM of 72, 126 and 168. Also show that
8.
Check whether
9.
In a school, the duration of a period in junior section is 40 min. and senior section is 1 hour. if first bell
for each section rings at 9:00 a.m., when will the two bells rings together again.
4.
5.
6.
can end with digit zero for any natural no. n .
10. Find the missing numbers.
2
2
165
Chapter 2
1.
Obtain all zeroes of
2.
all Obtain other zeroes of
3.
On dividing
and
respectively, find
, if two of its zeroes are
a polynomial
Form a cubic polynomial with zeroes 3, 2 and -1.
Hints/Ans.
5. Find the zeroes of the quadratic polynomial
between the zeroes and the coefficients.
6. For what value of k, (-4) is a zero of polynomial
and
,the quotient and remainder were
4.
7.
and verify the relationship
Give an example of polynomials
8.Find the zeroes of
9.Find a quadratic polynomial, whose the sum and product of its zeroes are
10. Obtain all other zeroes of
, if two of its zeroes are
and
.
1.
Chapter 3
Solve the equation using the method of substitution:
2.
Solve the equations:
Where, x
3.
Solve the equations by using the method of cross multiplication:
4.
5x + 12y =7
For what value of k, will the system of equations
has a unique solution.
Draw the graphs of the equations
4x – y = 4
4x + y = 12
Determine the vertices of the triangle formed by the lines representing these equations and the xaxis. Shade the triangular region so formed .
Solve :+
=4
5.
6.
+
= -2
7.
Ritu can row downstream 20 km in 2 hr , and upstream 4 km in 2 hr . find her speed of rowing in still
water and the speed of the current.
8. In a
,
= 3 , B = 2 ( A + B ) find the these angle.
9. 8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14
days. Find the time taken by 1 man alone and that by one boy alone to
Finish the work.
10. Find the value of K for which the system of linear equations
2x+5y = 3 ,
(k +1 )x + 2(k + 2) y = 2K Will have infinite number of solutions.
11. learn table 1 to20. Squares 1 to 30 .cubes 1 to 15.