Monday, 28 May 2018

OLYMPIADS STUDY MATERIAL

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Thursday, 3 May 2018

ASSIGNMENTS OF CHAPTER ( 1, 2 AND 3 )



Assignment of Integers
Class:VII                                                                       Subject: Mathematics

1.      Find the additive inverse of -2001.
2.      Evaluate:  (i)  53+(-26)               (ii)  (-7)+(-23)
3.      Subtract -66 from -34
4.      The sum of two integers is 65. If one of them is -31, find the other.
5.      If a = -8 , b = -7 , c = 6, verify that (a+b)+c = a+(b+c)
6.      Subtract -134 from the sum of 38 and -87.
7.      Find  2 X (-5) X (-6)              
8.      Simplify:  (i)  (-26) X 72 + (-26) X 28            (ii)  (-1) X (-1) X (-1) X……..200 times
9.      Evaluate 168 ÷ (-14)
10.  In a class test containing 20 questions, 4 marks are given for every correct answer and     (-2) marks are given for every incorrect answer. Anita attempts all questions and 12 of her answers are correct. What is her total score?
11.  A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C per hour. What will be the room temperature 12 hours after the process begins?

12.  Fill in the blanks:
a)      (-60)- ………..=-59.
b)      (-26)+{(-49)+(-83)}={(-26)+(-49)}+………….
c)      …………./(-18)=-5.
d)     (-21)x…………=0
e)      (-8)/0=………..
13.  Evaluate:
a)      9x(-12)x10
b)      (-5)x(-5)x(-5)x………….6 times
c)      168/(-14)
14.  If a= (-6), b= (-4), then show that (a-b)=(b-a) or not.
15.  Write a pair of integers whose difference gives zero.
16.  The sum of two integers is 6. If one of them is (-3). Find the other.
17.  The difference of an integer p and (-8) is 3. Find the value of p.
18.  Subtract (-134) from the sum of (-1032) and 878.
19.  What will be the sign of product if we multiply together 199 negative and 10 positive integers?
20.  Simplify:
a) (-27) x (-16) + (-27) x (-14)
b) (-25) x 8+ (-25) x 2


Assignment of Fractions

1.      Compare the fractions:  and .
2.      Arrange the following in ascending order: , , , .
3.      Arrange the following in descending order: , , , .
4.      Find the sum:
a)       + 
b)       + 
c)      2  +  1
5.      Find the difference:
a)        
b)        
c)      3    1
6.      Simplify:
a)       + 
b)      5    2 + 2
7.      What should be added to  to get 18 ?
8.      What should be subtracted from 17  to get 11 ?
9.      Sarita bought 5  Kg potatoes and 3  Kg tomatoes from a vendor. What is the total weight of vegetables bought by her?
10.  Rohit ate  part of an apple and his sister Ritu ate the remaining part of it. Who ate more and by how much?
11.  Multiply:  by .
12.  Find the product:
a)        × 
b)      16  ×  2
c)      2  ×  4
13.  Simplify:
a)       ×  × 
b)      1 ×  1 ×4
14.  Find :
a)        of 32
b)       of a day
15.  Milk is sold at Rs.16  per litre. Find the cost of 6  litres of milk?
16.  Sajal can walk 2  Km in an hour. How much distance will he cover in 3  hours?
17.  A carton contains 16 boxes of nails and each box weighs 4  Kg . How much would a carton of nails weigh?
18.  A book of 216 pages. During last week Vikas  read  of the book. How many pages did he read?
19.  A tin contains 18Kg ghee. After consuming  of it. How much ghee is left in the tin?
20.  Renu spends  of her income on household expenses. Her monthly income is Rs. 30,000. How much does she save every month?

21.   Find the reciprocal of
a)      6
b)       4
22.   Divide:    
(a)  by                
(b) 8 by  
(c) 3  by 5    
(d)   2  by 1
23.   A rope of length  9 m is cut into 6 pieces of equal length. Find the length of each piece .
24.   If the cost of 5  litres of milk is Rs 236   , find its cost per litre.
25.   The cost of 5  Kg of mangoes is Rs. 231. At what rate per Kg are the mangoes being sold?
26.   The product of two numbers is 15  . If one of the numbers is 6  , find the other.
27.   By what number should 6  be multiplied to get 40?

ASSIGNMENT of  Decimals
1.      Convert 0.06 into a fraction in its simplest form.
2.      Convert 12.25 as mixed fraction.
3.      Convert 25/8 into decimal.
4.      Convert into like decimals:  6.5,16.03,0.274,119.4
5.      Arrange the following into ascending as well as descending order:   5.74,6.03,0.8,0.658,7.2
6.      Express 6 rupees 6 paisa as rupees using decimals.
7.      Express 7380 grams in Kg using decimals.
8.      Add : 17.4,86.79,9.435,8.8,0.03
9.      Subtract 13.876 from 22.
10.  By much should 32.67 be increased to get 6.01?
11.  Shayama bought 4Kg 350g potato, 3Kg 80g tomato and some onion. If the total weight of the three vegetables is 10Kg 200g, what is the weight of onion?
12.  Rohit purchased a notebook for Rs 23.75, a pencil for Rs2.85 and a pen for Rs 15.90. He gave a 50rupee note to the shopkeeper. What amount did he get back?
13.  Find the product:
a)      7.54X10
b)      0.6X100
c)      0.076X1000
d)     36.73X48
e)      0.623X0.75
f)       11.1X1.1X0.11
14.                 Evaluate:
a)      (0.7)2                                         b)(1.5)3
15.                 Divide:
a)      0.0662 by 10
b)      23.4 by 100
c)      1286.5 by 1000
d)     63 by 15
e)      2.575 by 25
f)       403.8 by 30
g)      0.228 by 0.38
16.                 If the cost of a pen is Rs. 28.50.Find the cost of 48 such pens.
17.                 The cost of 1m of ribbon is Rs.35.80.What will be cost of 9.8m of ribbon?
18.                 1Kg of milk has 0.264Kg of fat. How much fat is there in 12.5Kg of milk?
19.                 A bowler took 15 wickets for 321 runs. What is his average score per wicket?
20.                 A car covers a distance of 108.9Km in 1.8hours. What is the average speed of the car?
21.                 The cost of 24 toys of same kind is Rs. 783.60.What is the cost of each toy?
22.                 The total weight of some bags of cement is 1743Kg. If each bag weighs 49.8Kg,how many bags are there?
23.                 Mr. Thakral distributed Rs. 1840 equally among NCC cadets for refreshment. If each cadet received Rs. 28.75, how many cadets were there?
24.                 Mrs. Bose bought 15.5Litres of refined oil for Rs. 1122.20.Find its cost per litre.
25.                 The product of two decimals is 1.5008. If one of them is 0.56, find the other.
26.                 Each side of a polygon is 2.9cm in length and its perimeter is 17.4cm.How many sides does the polygon have?
27.                 Find the average of 4.2, 7.4 and 8.8.