DAVCPS NARELA-2012-13
Holiday’s Homework
Class-X
Subject-science
·
Find
out ingredients of face powder,nail
polish ,lipsticks,boot polish,Shampoo,hair cream,cold creamand perfumes.
·
Ammonia
is used in a lot of chemicals in beauty parlours in many products like hair
colour,bleach etc.
Find out their harmful effects on
Skin/body/hair
Soap having pH equal to 7 is best for
skin.Find out Dove Soap has Ph equal to 7 or more than 7.Compare it with other
bathing soaps.
Talk to yours neighbours and find
out which which soap is popular and find out its
pH.
Talk to dermatologist which soap is best for
skin.
This should be done either by
“
power point presention”
Or
Graphical represention of “Soap vs
pH”
Or
Bar chart of “pH vs Soap”
MATHS
:
Learn tables up to 25.
1.
Design
a crossword puzzle with mathematical terms.
2.
Compare performance of two cricket teams in
final IPL match.
3.
Do
20 MCQ each from squares & squares roots, cube & cube roots ,Algebraic
identities.
4.
Revise
above chapters for test.
5.
Write
divisibility tests by 2,3,4,5,7,9,10,11.
6.
PROJECT:
Life history of two Indian Mathematicians.
7.
Prepare
a model on Algebraic Identities.
8.
Define
following terms: Adjacent angles, Altitude ,Arc ,chord ,secant, median ,
complementary angles, supplementary angles,
transversal,dividend,divisor,variable,centroid,orthocenter,intercept.
FUN TIME
1 Solve
: USA + USSR = PEACE
I .e .replace letters by digits so that this becomes a true equation.
2 In a party everybody shakes hands with
everybody else & there are 36 handshakes in all,how many persons are there
in the party ?
3 Express all numbers from 1 to 50 as the sum
of atmost 4 square numbers.
4 The smallest number which can be expressed as
the sum of two cubes in two different ways is Ramanujan number 1729.Find 4 more
numbers with same property.
5 If we replace A by C,B by D,…,X by Z, Y by A
, Z by B,what will following become?
I LOVE MATHEMATICS.
MATHEMATICS IS FUN.
PROBLEM SOLVING IS THE HEART OF MATHEMATICS.
ASSIGNMENT
PROBLEM SOLVING IS THE HEART OF MATHEMATICS.
ASSIGNMENT
Q. Find
the least number which must be subtracted from the following numbers to make
them a perfect square?
1.
2361
ans. 57
2.
194491
ans. 10
Q.
Find the least number which must be added to the following numbers to make them
a perfect square?
1.
5607
ans. 18
2.
37460
ans. 176
Q. Find the greatest number of 5 digit which is
a perfect sqare?
Ans.
99856
Q. Find
the least number of 4 digit which is a perfect square?
Ans.
1024
Q. The cost of levelling and turfing a square
lawn at Rs. 2.50 per m square is RS. 13322.50
.find the cost of fencing it at Rs. 5 per metre?
Ans.
1460
Q. Find
the square root of of 12.0068 correct to four decimal places?
Ans.
3.4651
Q.Find
the square of 11 correct to five decimal places?
Ans.3.31662
Q.
The area of a square field is 325 m square. Find the approximate length of one
side of the field?
Ans.
18.030
Q. Find
the length of a side of a sqare, whose area is equal to the area of a rectangle
with sides 240 m and 70 m?
Ans.
129.6
Q. Find
the cubes of :
1. -13/8
Ans. -2197/512
2. 0.08
Ans. 0.00512
Q. Find
the cubes root of each of the following natural number :
1. 2744
Ans. 14
2. 35937
Ans. 33
Q. Three
numbers are in ratio 1:2:3. The sum of their cubes is 98784 . find the numbers.
Ans.
14,28,42
Q.Find
the cube root of each of the following rational numbers :
1. -125/729
Ans. -5/9
2. 10648/12167 Ans. 22/23
Q. The
volume of a cubical box is 474.552 cubic metres . find the length of each sides
of the box?
Ans.
7.8 m
Q.
Use diagonal method to find squares of
89, 68, 854.
Ans.7921,4624,729316.
Q.
Find 10 rational numbers between 3/5 & 3/4.
Q .
Divide sum of - 13/5 &12/7 by
product of - 31/7 & - 1/2
Ans
-2/5
Q
The area of square field is 121/4 sq.m.Find length of side of square.
Ans.
11/2 m.
Q.
The cost of 7/3 metres of cloth is Rs 301/4,Find cost of cloth per metre.
Ans.32.25
Q.
Simplify
(a) (5x + 3 ) (x – 1) (3x – 2)
(b) ( x+ 2) (5x – 3) – (2x +5 ) (4x- 3)
(c)
a (b- c) –b(c-a) –c (a-b)
Q.Evaluate
using identities
(a)
102 X 106
(b)
34 X 36
(c)
103 X 96
(d)
9.8 X 10.2
Ans.10812,1224,
9888, 99.96.
Q.
If 2x + 3 = 14 & 2x – 3y = 2, find
xy.
Ans.
8
Q. Find 3x(2x- 7) – 3(x – 4)- 63 for x = -2.
Ans. 21
Q.
if x+1/x=12 find x-1/x
Ans. Root
140
Q.
if x+1/x =9 find x4 +1/x4
Ans.
6239
Q.factorise
:
1.
7a(2x-3) +3b (2x-3)
Ans. (7a+3b)(2x-3)
2.
ax+bx+ay+by
Ans. (a+b)(x+y)
3. x4-81y4
Ans. (x-3y)(x+3y)(x2+9y2)
4. a2+2ab+b2-16
Ans. (a+b+4)(a+b-4)
5.
6xy-4y+6-9x
Ans. (2y-3)(3x-2)
Q.
write unit digit of cube of following numbers :
1.
3375
Ans. 5
2.
1728
Ans. 2
3.
729
Ans. 9
4.
4913 Ans.
7
Q.
find area of rectangular box whose length and breadth are 4ab and 5cd
respectively
Ans.
20abcd
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