Preparations for IPM, MTSE, Olympiad, MAT, Scholarship,CBSE, ICSE & Board Math Exam

Saturday, April 12, 2014

HCF and LCM

the traffic lights at 3 different road crossings change after 48 sec, 72 sec and 108 sec . If they change simultaneously at 7 a.m after what time will they change again simultaneously ?

Humble request to all of you:

If you have question papers of IPM, MTSE, OLYMPIAD, JMO etc. or even your school exam, or class test, do send it to us.
We will post it for the benefit of all.

you may send it on my email: shubhro.enerjet@gmail.com

Thank you for reading through this message.

Shubhro and nanu

Tuesday, April 8, 2014

geometry

the other India

Good morning life
It’s 6:30 in the morning at Sealdah Railway Station. Kanchanjanga Express is about to leave in another 5
minutes and I am stretching out on the foot-board of my compartment trying to get a glimpse of Swamiji.
Already a North Westerly disturbance has sent cold waves in this part of the world, but today at this
moment, anxiety seems to get the better of me and I am sweating profusely.
I try to reach swamiji on his mobile but he is not picking…a flurry of questions pass my mind….have
swamijis’ become more human….did he take me for a jolly good hog wash when he said he was
coming….I hope everything is ok….. and then suddenly lo and behold….out of the hum and melee on the
platform I see a saffron attire moving briskly through the maze of generous sprinkling of lesser mortals.
Yes there he is limping and running with his oversized luggage, stopping occasionally to catch a
breath…poor swamiji…in the days of glory old …so I am told ...the world would come to a stop if the
revered swamiji from Ramakrishna mission was running to catch a train, but then those were different
times, I said to myself.
Swamiji comes and drops his luggage near me, his huge body has given up finally but not at an
inappropriate time I must say, he can go no further, his throat is perched and his breathing is heavy, I
immediately step down to touch his feet, I know it is not the right time for blessings… pick up his luggage
and help him to his seat. Kanchanjanga express gently meanders its way out of the platform…God
Almighty has heard my prayers….Swamiji is home.

freedom from maths

http://ipm-mtse-olympiad-state-scholarship.blogspot.in/2013/07/point-to-ponder.html

Saturday, March 15, 2014

JMO/MTSE/IPM STD V counting

Count the number of Squares

series JMO

solve this,
If
11 x 11 = 4
22 x 22 = 16
33 x 33 = 18
44 x 44 = ....................

JMO, MTSE, IPM STD V / STD VI

a, b and c not equal to zero.

JMO STD V and STD VI

Show that a = 2 + 4 + 6 ...... 4002 + 2002 is a perfect square

STD V IPM, JMO, numbers

***Find the value of x and y

2 3 X Y

X Y 2 3

+ X Y X Y

1 1 4 1 3

***If A, B, C and D are non zero digits such that

A B

B C

+ C A

D D

Find the value of

A B C

B C A

+ C A B

Science olympiad -- STD V

NSO - STD V -- 2014

IMO - STD V ---- 2014

JMO - STD V and STD VI - test paper 2012

Junior Maths Olympiad STD V and VI test paper - 2011

JMO -- STD V and VI

PRADNYA test paper --- prelims -for junior Olympiad for STD V and VI

PRADNYA --- prelims -for junior Olympiad

MTSE STD V - 2014 question Paper

square of numbers STD VIII

If a = 11²⁰¹² + 22²⁰¹² + ........99²⁰¹²

Then ‘a’ is not a perfect square

STD 8

If f(x) = x³ - mx² - 3x + m – 2, where m Ɛ R.

Find S(m) = x₁³ + x₂³+ x₃³, where x₁, x₂, and x₃ are the roots of the polynomial

STD. 8 JMO

If f(x) = ax³ + bx² + cx + d, where a,b,c and d Ɛ R. Find a,b,c and d such that

f(1) + f(2) + f(3) +................f(n) = n⁴

Where n Ɛ N.

Puzzle

A man who recently died, left a sum of Rs 8,000,000 to be divided among his widow, 5 sons and 4 daughters. His Will stated that every son should receive 3 times as much as a daughter, and that every daughter should have twice as much as their mother. How much was the widow's share?

Saturday, February 1, 2014

Questions (with answers) on HCF and LCM

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is

answers

Tutorial - how to deal with brackets

6 to 7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=eHqdcz4pjwE

tutorial - complete the perfect square

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=5WBXhszflR8

tutorial -multiplying 2 binomials

for students with 6-7 years of schooling

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

Tutorials - how to multiply several terms at a time

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=zs6IymmSRrA

tutorials - how to multiply monomials

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=3NgJ1pW8CAY

Tutorial - adding and subtraction of monomials

for students with 6-7 years of schooling

http://www.youtube.com/watch?feature=player_embedded&v=1tfVF9nirEM

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

Thursday, January 30, 2014

Freedom from math

Please visit his site

http://www.arvindguptatoys.com

Monday, January 27, 2014

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

Wednesday, January 22, 2014

STD IX MATHS OLYMPIAD TEST PAPER

STD VIII MATHS OLYMPIAD TEST PAPER

STD VII MATHS OLYMPIAD TEST PAPER

STD VI OLYMPIAD TEST PAPER

STD V MATHS OLYMPIAD TEST 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

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.

Tuesday, January 21, 2014

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

Thursday, January 2, 2014

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.