Showing posts with label STD IV. Show all posts
Showing posts with label STD IV. Show all posts

Monday, July 15, 2013

ipm mega finals STD. IV answers

The temperatures are measured in degree Celcius and degree Fahrenheit. To convert degree Celcius to degree Fahrenheit the formula (F - 32) x 5/9 = C is used. The boiling point of water in Celcius is 100, What is the boiling point in Fahrenheit?



Answer:

(F - 32) x 5/9 = C

To find F we must  arrange the equation in a  manner to read F = ........
let us try to do that

What ever we do on the left side of equation, we will repeat the same on the right. other wise the balance will get disturbed.
(F - 32) x 5/9 x 9/5 = C x 9/5   ---------multiply both sides by 9/5
or, F - 32 = C x 9/5
but C = 100
So, F -32 = 100 x 9/5 = 900/5
or, F -32 + 32 = 900/5 + 32
or, F = 900/5 + 32 = 180 + 32 = 212 Answer



IPM mega finals STD IV answers

In the addition Problem at the right, find the sum of the digits represented by B and C. Different letters represent different digits. Each time a same letter appears, it represents the same digit.

                                      2   B   A
                                +   C   6    D
                                      8   A   D




Answer:

Since A + D = D , So, A = 0
since B + 6 = 0 , B must be 4. There is carry 1 to the next place.
2 + C + 1 (carry) = 8
or, C = 5

So, B + C = 4 + 5 = 9

IPM mega finals STD IV answers

Grandma baked a cake for her grand children who will visit in the afternoon. Unfortunately she forgot whether only 3, 5  or 6 of her grand children will come over. She wanted to ensure that every child gets the same amount of cake. Then to be prepared for all the possibilities, she should cut the cake into how many pieces.




Answer:
The minimum no. of pieces she should make so that it can be equally distributed is the LCM of 3,5 and 6.

So, the answer is 30.

So, in case 3 grand children come ----she will give 10 pieces each.
in case 5 grand children come ----she will give 6 pieces each.
in case 6 grand children come ----she will give 5 pieces each.

IPM Mega finals STD IV answers

In the year 2012, Mrs. Gokhale celebrated her 20th marraige anniversary on the 163rd day of the year. On which of the date did she marry?





Answer:
month             days            cummulative 

Jan                  31                      31
Feb                 29                      60
march             31                      91
april               30                     121
may                31                    152

Now 163 - 152 = 11 days
So, her anniverary date is 11th of June
So, she got married on 11th June 1992   (20 years back)

IPM mega final STD IV answers

A 12 litre tank is filled with water at the rate of 1/4 litre in 5 secs. How much time will it take to fill 5/6 of the tank?




Answer

Water to be filled = 5/6 x 12 = 10 litres = 10000 ml 

now 250 ml is filled in 5 sec.

therefore, time taken by  water to fill the tank = (10000 /250) x 5 = 200 secs = 3 mins and 20 sec




Sunday, July 14, 2013

Mega final Question STD IV answer

A student writes seven consecutive natural numbers and the sum of the smallest three number is 33, which of the following is the sum of the largest numbers?



Answer:

if the numbers are "a-1", "a", "a + 1". Then a = 33/3  = 11
so, the numbers are 10, 11, 12.
so the last three numbers are 14, 15, 16 
sum of 14, 15, 16 = 45

Thursday, July 4, 2013

mega finals IPM std IV


A few problems  for the Mega finals

1.       A tank is half empty, on draining 5 litres of water, it is 2/5 full. What is the volume of the tank?

2.       Nanu has as many birds as she has animals. If the total number of legs is 330, then what is the number of birds?

3.       The numbers 3,4,7,8 are used to write all the four digit numbers in ascending order. What will be the position of the number 7438 from the start?

4.       How many three digit numbers are possible whose sum of digits is 22?

5.       How many times “a” is contained in “b”?

6.       How many 4 digit even numbers are possible using the numbers 2,0,3 and 7?

7.       Which is the greatest fraction: 12/22, 9/19, 7/15, 6/13?



PROBLEMS ON ROTATION OF GIVEN FIGURE


IPM-IMO-MTSE-STATE SCHOLARSHIP PRACTICE PAPER 10



Mathematics Test Papers                                                              For MTSE / IPM / IMO
Standard – 4                                       Paper number:  010
Time: 90 minutes