Arrange Them in Ascending Order and in Descending Order

HOLIDAY HOMEWORK SESSION:2015-16

CLASS-VI SUB :MATHEMATICS

1.FIND THE GREATEST AND SMALLEST NUMBER:

a)68,951; 2,37,871; 20,459; 1,03,793;

b)52,860; 37,356; 1,43,735; 20,13,102

ARRANGE THEM IN ASCENDING ORDER AND IN DESCENDING ORDER.

2.USING THE DIGITS 6,7,0,1 AND 2 FORM a)THE SMALLEST 7 DIGIT NUMBER b)THE GREATEST 7 DIGIT NUMBER.

3.WRITE THE FOLLOWING NUMBERS IN WORDS IN INDIAN AS WEELL AS INTERNATIONAL SYSTEM.ARRANGE THEM IN PLACE VALUE TABLE: a)1,45,307 b)2,123,270 c)91,307 d)1,001,373

4.WRITE THE FOLLOWING NUMBERS IN FIGURES:

a)THREE LAKH FIFTY THREE THOUSAND FIVE HUNDRED SIXTEEN

b)FORTY-ONE LAKH ONE THOUSAND FIFTY

c)ONE MILLION FIFTY THOUSAND SEVENTY

d)TEN MILLION TEN THOUSAND ONE HUNDRED TEN

5.ESTIMATE:a)3946+6579+389 b)1289x137 c)889÷27 d)4197-2103 e)2197x269 f)1238÷43

6.ROUND EACH OF THE FOLLOWING NUMBERS TO THE NEAREST TEN,HUNDRED AND THOUSAND:

a)4499 b)34,414 c)3098 d)80,502

7.WRITE HINDU-ARABIC NUMERALS FOR:

a)XCVIII b)XLVI c)XXIX d)LXXIV

8.WRITE IN ROMAN NUMERAL:

a)79 b)84 c)105 d)93

9.A NATIONAL DAILY PRESS PRINTS 2,17,000 COPIES EVERYDAY FROM MONDAY TO SATURDAY AND 2,18,200 COPIES ON SUNDAY.IF ONE COPY HAS 16 PAGESS,HOW MANY PAGES ARE PRINTED IN A WEEK?

10.THE PRODUCT OF TWO NUMBERS IS 12,70,572.IF ONE OF THE NUMBER IS 937.FIND THE OTHER NUMBER.

WHOLE NUMBER

1.FILL IN THE BLANKS:(WRITE THE PROERTIES NAME)

a)313+87=87+ ______

b)13+(14+19)=(13+______) +19

c)______+0=72

d)______×7=7×91

e)37×(91+19)=(37×______) +(37×19)

f)301÷ 1=______

2.USING THE PROEPRTIES,FIND THE VALUE OF EACH OF THE FOLLOWING::

a)736×102 b)467×999+467 c)139×97 d)417+193+583+807 e)8165×169 - 8165×69

3.WRITE THE NEXT THREE NATURAL NUMBERS AFTER 10999.

4.WRITE THE SUCCESSOR OF:a)2440701 b)100199 c)1099999 d)2345670

5.WRITE THE PREDECESSOR OF: a)94 b)10000 c)208090 d)7654321

6.WRITE DOWN THE FIRST SEVEN NUMBERS THAT CAN BE ARRANGED AS TRIANGES.

7.WRITE THE NEXT TWO STEPS OF THE FOLLOWING PATTERN:

1×8=8

12×8=88+8

123×8=888+88+8

1234×8=8888+888+88+8

8.FIND THE DIFFERENCE BETWEEN THE LARGEST 4 DIGIT NUMBER AND THE LARGEST 5 DIGIT NO.

9.FIND THE GREATEST 5 DIGIT NUMBERWHICH IS EXACTLY DIVISIBLE BY 295.

10.THE COST PRICE OF 34 REFRIGERATORS IS RS.5,35,840.FIND THE COST OF ONE REFRIGERATOR.

PLAYING WITH NUMBERS

1.FIND ALL THE FACTORS OF:a)18 b)23 c)30 d)56 e)48 f)324[

2.WRITE FIVE MULTIPLES OF:a)21 b)45 c)16 d)11

3.WRITE:

a)ODD MULTIPLES OF 17,LESS THAT 100.

b)THE MULTIPLES OF 5BETWEEN 32 AND 62.

c)EVEN MULTIPLES OF 13,LESS THAN 100.

CLASS IX

1.FIND 7 RATIONAL NUMBER BETWEEN -3/11 AND 2/11.REPRESENT IT ON THE NUMBER LINE.

2.FIND THE DECIMAL REPRESENTATION OF 7/3 AND -4/11.

3.EXPRESS IN THE FORM OF p/q: a) 4.323232….. b)0.235353535…….

4.PROVE THAT Γ2 ON THE NUMBER LINE.

5.SIMPLIFY: i) (625)-1/4 ii) (243/32)-4/5 iii) (256/81) 5/4

6.SIMPLIFY:

i) 2 55 ×260- 2 97×218

ii) (81/16)-3/4× [(25/9)-3/2 ÷ (5/2)-3]

iii) (2/3)2×(2/5)-3×(3/5)2

7.FIND THE VALUEOF X:

i) 25x/2x=5Γ220

ii) (3/5)xx(5/3)2x=(125/27)

iii) 27x=9/3x

8. SIMLIFY-

i)(11+Γ11) (11-Γ11)

ii) (Γ8-Γ2) Γ8+Γ2)

9. RATIOALISE THE DENOMINATOR-

i) 1/3+Γ2 ii) 1/2Γ5-Γ3 iii) 1/Γ6-Γ5

10. If x=2+Γ3, find the value of

a) x3+1/x3 b)x2+2x+4

11. WRITE THE DEGREE OF POLYNOMIALS

i) 7x3+4x2-3x+12

ii) 2-y2-y3+2y8

iii) x5-x4+3

iv) 5y-Γ2

12. WRITE THE COEFFICIENT OF x3 AND x2

i) 1+x2+x4-x-x3

ii) 2x3-7x+x2+3x4

iii) x/2-x2/3+x3/4

iv) 5x3+2x-x2-x5

13. Give an example of a bionomial of degree 27 and monomial of degree 35.

14. Write one example of each constant, linear, quadratic and cubic polynomial.

15. If p(y)=4+3y-y2+5y3, find p(2).

16. If x=-1/3 is a zero of the polynomial p(x)=27x3-9x2-x+3. Then find the value of x.

17. find the integral roots of the polynomial

F(x)=x3+6x2+11x+6

18. find the remainder using long division method when

x4+x3-2x2+x+1

is divided by x-1. Check your answer.

19.find the remainder when

3x3-4x2+7x-5

Is divided by (x-3) and (x+3).

20.find the value of a.if the polynomial

P(x)=x4-2x3-3x2-9x+8 is divided by (x-2),it leaves a remainder 10.

21.factorise by splitting middle term

(i) y3-7y+6 (ii)6x2+17x+5

(iii) y2-5y+6 (iv) x2+14x+40 (v)x2-2x-80

22.factorise

(i)4x3+3x2-4x-3

(ii)3x3-x2-3x+1

(iii)3x3+5x2-15x-25

(iv)2y3+y2-2y-1

(v)x3-2x2-x+2

23.if (2x-3) is a factor of

2x4-3x2+15x-15k

Find the value of (3k-√5k)

24.find the value of k if (x-1) is a factor of

4x3+3x2-4x+k

25. if both (x+1) and (x-1) are factor of

Ax3+x2-2x+B

Find the value of A and B.

Make a chart on the autobiographi of the mathematician.