tutorial - how to identify the numerical coefficients of monomials,

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=3eDu1zLYqPg

tutorial - how to identify the numerical coefficients of monomials

for students with 6-7 years of schooling


http://www.youtube.com/watch?feature=player_embedded&v=gjzpd6DcW0k


http://www.youtube.com/watch?feature=player_embedded&v=_ZPtY7GldPI

Freedom from math

Please visit his site

http://www.arvindguptatoys.com

information on Maths Olympiad organised by Kendriya Vidyalaya Sangathan

http://kvsangathan.nic.in/GeneralDocuments/CIR-ACAD-27-06-13.PDF

tutorial STD V mock test

Some solutions: STD V mock test

MOCK test IPM, MTSE STD V

Test Paper

questions on division

today's question paper on division

http://ipm-mtse-olympiad-state-scholarship.blogspot.in/2013/07/tougher-questions-in-division.html

STD IX MATHS OLYMPIAD TEST PAPER

STD IX MATHS OLYMPIAD TEST PAPER

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STD VIII MATHS OLYMPIAD TEST PAPER

STD VII MATHS OLYMPIAD TEST PAPER

STD VII MATHS OLYMPIAD TEST PAPER

STD VI OLYMPIAD TEST PAPER

STD VI OLYMPIAD TEST PAPER

STD V MATHS OLYMPIAD TEST PAPER

STD V MATHS OLYMPIAD TEST PAPER

STD IV MATHS OLYMPIAD PAPER

STD IV MATHS OLYMPIAD PAPER

STD II maths olympiad

STD II Maths Olympiad question paper

STD V unit test

SMT. SULOCHANADEVI SINGHANIA SCHOOL 

UNIT TEST, 20 marks, 30 mins

1. Fill in the blanks with the correct answers:

• The short form of 50 000 + 7000 + 800 + 20 + 5 is .....................
• 4 million = ...............thousands
• 552 995 613 is the successor of ..............................
• 70 paise = ........................ % of a rupee.

     2.  State true or false. correct the false statement

•   the period of the number 7 in 7485139 is thousands.
• 4% is same as 0.004.

     3. Do as directed:

• write the number name for 85830759 in the international system
• express 24 out of 60 as a percentage
• write the largest 7 digit number using the digits 2,7,1 and 9.
• write 72% as a fraction in its lowest form.
• write in figure: one hundred sixty three million sixty thousand and five.
• how many lakhs make a billion

     4. Find out the value of each side and put the correct sign in the box. (show working)

•      25% of 50 ............. 50% of 40
• Convert to percentage:  a) 5/10                  b) 2 1/5
• Find the percentage of letter "I" in the word "SCIENTISTS"
• Rahul has Rs 3500 in his piggy bank. He uses 20% of the money to buy some story  books and save the rest of it. Find the amount of money he used to purchase the storybooks.
• Find the difference in place value of the two 3s in 73564530.

MTSE / IPM Mock test Standard V

MTSE / IPM Mock test Standard V

MOCK MTSE questions STD V

The ratio of the ages of son and mother is 2:14. If the mother was 24 years old when the son was born, how old is the mother now 

                                                                                                                                       Answer:
Since simultaneous equation is not in the syllabus of Std. V, We will have to do it differently,
Given, S/M = 2/14
or, S/2 = M/14 = k, say

SO, S = 2k and M = 14k

Now, M - S = 24
or 14k - 2k = 24
or, 12k = 24
or k = 2
therefore, S = 4, M = 28

The ratio of the 2 supplementary angles is 5:7. What is the measure of the angles?
Answer:

180 x 5/ (5+7) = 75 deg
180 x 7 /(5 + 7) = 105 deg

Express as fraction:  24.36666666666666666666666...............



Answer:
x = 24.3666666666....
100x = 2436.666666666666666666....  (1)
10x = 243.6666666666666666... (2)

subtracting (2) from (1), we get
90x = 2193
or x = 2193/90 = 731/30 = 24 11/30



The time taken from A to B gets reduced by 3/4 th when Nanu takes the train in place of bus. What is the ratio of speed of Train to Bus.
Answer:
let A to B distance = S
S = Vb x t = Vt x (1 - 3/4)t
V is generally the connotation for speed, S for distance and t for time. it will save you a lot of time if you use standard connotations.
Therefore, Vb = Vt /4, or, Vt / Vb = 4
The sum of "n" consecutive natural numbers is 703. What is the value of "n"?


Answer:
This question is tricky for a std. V student since quadratic equations are not taught in Std V.
But there is a way to proceed


sum of n consecutive number = S = n( n+1)/2 = 703
or n(n + 1) = 1409

let us list all the factors of 1409, they are 2, 19, 37
we observe, 19 x 2 = 38, therefore n(n + 1) will be 37 x 38 = 1409
therefore, n = 37

Find the ratio of interior to exterior angle of a regular heptagon?


Answer:
one has to remember that the sum of exterior angles of a polygon is always 360 degs.
therefore for a regular heptagon ( 7 sided) the measure of exterior angle = 360 / 7

So, interior angle = 180 - 360/7 = (1260 - 360)/7 = 900/7
so, ratio of interior / exterior angle = (900/7) / (360/7) = (900 / 7) x (7/ 360) = 5/2
A boat goes 15 km with stream in 3 hours while it takes 5 hours on its return journey. find by how much speed is it it less on its return journey?

Answer:
upsteam speed = 15/5 = 3 km/h
downsteam speed = 15/3 = 5 km/hr
speed difference = 5 - 3 = 2 km/h
Nanu gets 15% more marks than Bhanu. What percentage of marks did Bhanu get less than Nanu?



Answer:

   prepare this simple box. The question is simply put if Nanu gets 100 how much does Bhanu get

Nanu ///  Bhanu

115 ////   100

100 ///   y

y = 100 x 100 / 115 = 2000/23 = 86 22/23

so, Bhanu got = 100 - 86 22/23 = 13 1/23 less than Nanu.





The sides of a rectangle are such that one side is 3times the other added by 2. The area of the rectangle is 800 sq. units. Find the perimeter of the rectangle?
. Find the value of the expression

Ratio and Proportion STD V and VI

Ratio and Proportion

1.      A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?
     Answer:

     4A/15 = 2B/5 = k, say
     or, A = 15k/4, B = 5k/2 
     therefore, 15k/4 + 5k/2 = 1210 
     or, k = 1210 x 4/25 
     so, B has = 5k/2 =  1210 x 4 /25 x (5/2) = 484

2.      A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

     Answer:
     let the total amount be T
    
     Share of C = (4/14) x T 
     Share of D = (3/14)  x T

    Given (4/14)T - (3/14)T = 1000
     or, T = 14000
     or, B = (2/14) x 14000 = 2000

3.      In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quantity of water to be further added is ..................
    
     Answer:
     M/W = 2/1
     so, milk = (2/3) x 60 = 40 litres and water = 20 litres
      
     now, 40/ W = 1/2 or, W = 80
     So, additional  water to be added is 80 - 20 = 60 litres

4.      The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

      Answer:

      Total strength of class = T
      Boys = (7/15)T, Girls = (8/15)T
      New number of boys = 1.2 x (7/15)T = (8.4/15)T, New number of girls = 1.1 x (8/15)T = 8.8T/15
      B/G = 8.4/8.8 = 84/88 = 21/22

5.      Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

      Answer:

      R/S = 2/3
      or, R/2 = S/3 = k say, So, R = 2k and S = 3k
      Now, (2k + 4000)/(3k + 4000) = 40/57
      or, 114k + 4000 x 57 = 120k + 40 x 4000
      or, 6k = 4000 x ( 17)
      or, 3k = S = 2000 x 17 = 34000
      present salary of Sumit = 34000 + 4000 = 38000/-

6.      The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is ...............

      Answer:

      A/B = 2/3, and B/C = 5/8
      or, A/B = 10/15 and B/C = 15/24
      or, A: B:C = 10:15:24
      So, the second number is 98 x { 15/ (10+15+ 24)  } = 30

7.      If Rs. 782 be divided into three parts, proportional to: 1/2 , 2/3, 3/4 , then the first part is ................................

      Answer: A:B:C = 1/2 : 2/3 : 3/4 
      Multiplying with factor after taking LCM of denominator ( 12)
      A:B:C = 6 : 8 : 9

      So, the first part is = 782 x {6 / ( 6 + 8  + 9) = 204
 

8.      The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries

      Answer:
      let the Total  salary be T
      New Salary of A = 1.15 x 2T/10 = 2.30T/10
     
New Salary of B = 1.10 x 3T/10 = 3.3T/10
     
New Salary of C = 1.20 x 5T/10 = 6T/10

      new ratio = 2.3: 3.3 : 6 = 23: 33 : 60

9.      If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

      Answer: 

       4A/10 = 2B/3

       or A/B = 10 x 2 / (3 x 4) = 5/3

10.   Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is ..................................

      Answer:

       A/B = 3/5 or, A/3 = B/5 = k say
    
       So, A = 3k and B = 5k
 
       (3k - 9)/ (5k - 9) = 12: 23

       or, 69k - 9x 23 = 60k - 9 x 12

       or, 9k = 9 x 9

       or, k = 9

       So, the smaller number is = 3k = 3 x 9 = 27.

MTSE STD V ratio proportion question and answer

The sum of ages of the son and mother is in the ratio of 2: 14. When the son was born the mother was 24 years old. What is the age of mother and son?

MTSE STD V

Answer:

MTSE 2010 paper for std V