REVISION ASSIGNMENT 06 _ 30.01.2018

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DASS AND BROWN WORLD SCHOOL

Class X                                                               Revision assignment 06

1.       Simplify

2.       Find all the zeroes of the polynomial ( 2x⁴0 –  11x³ + 7x²+13x  –7) , it being given that two of its zeroes are ( 3+ü2) and ( 3 – ü2)

3.       Seven times a two – digit number is equal to four times the number obtained by reversing the order of its digits. If the difference between the digit is 3 , find the number .

4.       Sum of first 14 terms of an AP is 1505 and its first term is 10. Find its 25^th term.

5.       If the Sum of first n, 2n and 3n terms of an AP be S₁, S₂ and S₃ respectively then prove that S₃= 3( S₂  – S₁)

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REVISION ASSIGNMENT 05 ( 27.01.2018)

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DASS AND BROWN WORLD SCHOOL

Class X                                      Revision assignment 05

1. If the seventh term of an AP is  and its ninth term is  , find its 63^rd term.Ans-1

2. The sum of the 4^th term and 8^th term of an AP is 24 and the sum of its 6^th and 10^th terms is 44. Find the first three terms of the AP.

3. Which term of the AP 3, 15, 27, 39,.............will be 120 more than its 21^st term ? ans- n=31

4. If 5 times the fifth term of an AP is equal to 8 times its eight term, show that its 13^th term is Zero.

5. In a given AP if p^th term is q and q^th term is p then show that the n^th term is ( p+q-n)

6. If the p^th , q^th and r^th terms of an AP be a,b,c respectively the show that

          a(q – r) + b(r – p)+c(p – q)=0 

7. Find the sum of two middle most terms of the AP  ans - 3

8. The 17^th term of AP is 5 more than twice its 8^th term . If the 11^th term of the AP is 43 , find its n^th

     term. Ans-4n – 1

9. Find the sum of first 100 even natural numbers which are divisible by 5. Ans – 50500

10 .The sum of first 6 terms of an AP is 42. The ratio of its 10^th term to 30^th term is 1:3 . Find the first and the 13the tem of the AP.

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REVISION ASSIGNMENT 04 ( 26.01.2018)

REVISION ASSIGNMENT 04

REVISION ASSIGNMENT 04 ( 26.01.2018)

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DASS AND BROWN WORLD SCHOOL

Class X            Revision assignment 04

1.       A number when divided by 61 gives 27 as quotient and 32 as remainder. Find the number.

2.       Each one of A and B has some money. If A gives Rs 30 to B then B will have twice the money left with A . But , if B gives Rs 10 to A then A will have thrice as much as is left with B. How much money does each have ?Ans- 62,34

3.       Show that 6 x 5 x 4 x 3 x 2 x 1 + 5

4.       If the product of the zeros of the polynomial ( ax²+ 6x - 6) is 4 , find the value of a .

5.       A man invested an amount 12% per annum simple interest and another amount at 10% per annum simple interest. He received an annual interest of Rs 2600. But, if he had interchanged the amounts invested, he would have received Rs 140 less. What amount did he invest at different rates ?ans- 15000,8000

6.       If (x + a) is a factor of the polynomial 2x² + 2ax + 5x  + 10 , find the value of a

7.       Find a cubic polynomial with sum of its zeroes , sum of the products of its zeroes taken two at a time and the product of its zeroes as 2,-7 and -14 respectively.

8.       Solve 3(2x+y) =7xy

           3 (x + 3y ) =11xy

9.       6(ax+by) = 3a+2b

6(bx-ay) =3b-2a

10.  

bx – ay+2ab=0

11.   Find the largest number that will divide 398, 436 and 542 , leaving remainders 7,11 and 15 respectively. Ans-17

12.   Verify that 3,-1 and  are the zeroes of the cubic polynomial p(x) = 3x³ -5x² -11x - 3 and verify the relation between its zeroes and coefficients.

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REVISION ASSIGNMENT 03 ( 25.01.2018)

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                              DASS AND BROWN WORLD SCHOOL

Class X                                   Revision assignment 03

1.       Use Euclid’s algorithm to find the HCF of 272 and 1032.     ans-8

2.       Show that one and only one out of n, n+2 , n+4 is divisible by 3, where n is any positive integer.

3.       The HCF of two number is 23 and their LCM is 1449. If one of the number is 161, find the other .  ans- 207

4.       A sweetseller has 42 kaju barfis and 150 badam burfis. He wants to stack them in such a way that each stack has the same number, and they take up the least area of the tray. How many of these can be placed in each stack? How many stacks are formed ?  ans- 30,19

5.       Prove that square root 11  is irrational number .

6.       What real number should be subtracted form the polynomial ( 3x³+10x²-14x+9 so that 3x-2 divides its exactly?  Ans – 5

7.       Find all the zeros of the polynomial ( 2x⁴- 11x³+ 7x²+ 13x - 7 ) , it being given that two of its zeros are 3+ and 3-      ans- 3+, 3- ,1,

8.       If ( a –b) ,a & (a+b) are zeros of the polynomial 2x³-6x²+5x-7, write the value of a .  ans- 1

9.       Draw the graph of the following equations on the same graph paper ,

2x+y=2

2x+y=6.

Find the coordinates of the vertices of the trapezium formed by these lines. Also, find the area of the trapezium so formed.

10.   Solve for x and y

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REVISION ASSIGNMENT 02 ( 24.01.2018)

DASS AND BROWN WORLD SCHOOL

Class X                                                        Revision assignment 02

1. If the mean of the following frequency distribution is 65.6 , find the missing frequency f1 and f2 .

Class	10-30	30-50	50-70	70-90	90-110	110-130	Total
Frequency	5	8	F1	20	F2	2	50

Ans- 12,3

2 .If the median of the following frequency distribution is 32.5 , find the missing frequency f1 and f2 .

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	Total
Frequency	F1	5	9	12	F2	3	2	40

Ans- 3,6

3.Construct a tangle to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also , verify the measurement by actual calculation. Write the steps of constructions.

4.Construct an isosceles triangle whose base is 9 cm and altitude 5 cm . Construct another triangle whose sides are  of the corresponding sides of the first triangle.

5.All red face card are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is i)a red card ii) a face card  iii) a card of clubs.

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REVISION ASSIGNMENT 01 ( 23.01.2018)

                              DASS AND BROWN WORLD SCHOOL

Class X                                                      Revision assignment 01

1.       Draw a triangle ABC in which AB= 5 cm , BC= 6 cm and <ABC= 60⁰ . Then , construct a triangle whose sides are  times the corresponding sides of triangle ABC .

2.       Draw a circle of radius 3.5 cm . Draw a pair of tangents to this circle which are inclined at an angle of 60⁰ . Write steps of constructions.

3.       Card numbered 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is i) an odd number  ii) a prefect square number iii) divisible by 5 iv) a prime number less than 20

4.       Two different dice are rolled together. Find the probability of getting i) the sum of number on the two dice to be 5  ii)even number on both the dice  iii) a doublet

5.       What is the probability of getting 53 Tuesday in a leap year?

6.       One card is drawn at random form a well shuffled deck of 52 cards , find the probability that the card drawn is i) a king ii) a red eight iii) a spade iv) a red card v) the six of the clubs vi) a face card

7.       In a family of 3 children, find the probability of having at least one boy?

8.       Find the missing frequencies f1 and f2 in the table given below, it being given that the mean of the given frequency distribution is 50.

Class	0-20	20-40	40-60	60-80	80-100	Total	60-70
Frequency	17	F1	32	F2	19	120	2

9.       If the mean and mode of a frequency distribution is 53.4 and 55.2 respectively, find the median.

10.   Find the mean , median and mode of the following data :

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	6	8	10	15	5	4	2