International Maths Olympiad Forum By SOF Olympiad Trainer

# User Forum Subject :IMO    Class : Class 1

## Ans 1:

Class : Class 10
I find this question too high for Class 1. Anyway, I'll answer this. Given that a+b=27; b-a=9; a+b+c+d=36. Substituting a+b=27 in a+b+c+d=36, 27+c+d=36-27=9. c+d=9; d-c=3. Adding a+b and b-a, a+b+b-a=27+9, 2b=36, b=18. Therefore a=27-18=9. Adding c+d and d-c, c+d+d-c=9+3, 2d=12, d=6. Therefore c=6-3=3. Now, a=9; b=18; c=3; d=6. a*b+c-d = 9*18+3-6 = 162+3-6 = 165-6 = 159. Answer: 159

## Ans 2:

Class : Class 4
sorry, 159 because a+b=27 b-a=9. Therefore a=18 b=9. d-c=3 and a+b+c+d=36 ab=27 so 36-27=9 d is bigger than c so d=6 c=3 a=18 b=9 c=3 d=6 final question a*b+c-d 18*9= 162 162+3=165 165-d or 165-6=159 ANSWER=159

Class : Class 4
114

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Subject :IMO    Class : Class 10

## Ans 1:

Class : Class 9
the answer is 50.5. it can be solved by :sum of the nos./no. of numbers. by formula, sum of first 100 natural nos. is n*(n+1)/2=100*101/2=5050. so answer comes out to be 5050/100=50.5

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Subject :IMO    Class : Class 5

## Ans 1:

Class : Class 5
It was a mathematical calculation created by Pythagoras, to find out the hypotenuse of a right angled triangle. It is -: Altitude[squared]+ Base[squared]= Hypotenuse[squared]

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Subject :IMO    Class : Class 7

## Ans 1:

Class : Class 8
Median is a middle no if a sequence.

## Ans 2:

Class : Class 7
Median is the middle term in a sequence of ascending ordered numbers.

## Ans 3:

Class : Class 7
when u arrange the numbers in number wise and select the middle number(eg- Q-1155627..... A-1125567 Therefore MEDIAN= 5 )

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Subject :IMO    Class : Class 7

## Ans 1:

Class : Class 8
If the question is :- "in the figure (not drawn to scale), ABCD is a rectangle, FA = FG, AGE and BGF are straight lines. find x+y." then the answer is:- angle DAF is 20 degree, angle ADF is 90 degree, so, angle DFA = 180-(20+90) =70 degree. as DFC and AB are parallel, angle DFA = angle FAB =70 degree DA and CEB are parallel so, angle BEA = angle EAD = 74 degree so, angle FAG =74 - 20 =54 degree as FAG is a isoseles triangle, angle FAG = angle FGA = 54 degree so x = 180 -(54+54) degree =72 degree again, angle AGF= angle BGE = 54 degree so, y = 180 - ( 74 + 54 ) = 180 - 128 =52 degree as a result ( x + y ) = 72 + 52 =124 degree (option B). THANK YOU

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Subject :IMO    Class : Class 7

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 7

Class : Class 9
13 OF DEC

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Subject :IMO    Class : Class 4

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Subject :IMO    Class : Class 10

## Ans 1:

Class : Class 10
What do you want to indicate by ' _' symbol

## Ans 2:

Class : Class 10
nice question my friend