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 NUMBER WHICH 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. SIMLIFYi)(11+Γ11) (11-Γ11)
ii) (Γ8-Γ2) Γ8+Γ2)
9. RATIOALISE THE DENOMINATORi) 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.