**DAVCPS NARELA-2012-13**

*Holiday’s Homework*

*C*

*lass-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 x**

^{4 }+1/x^{4}**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. x**

^{4}-81y^{4}Ans. (x-3y)(x+3y)(x^{2}+9y^{2})**4. a**

^{2}+2ab+b^{2}-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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