Have you read Mathematical Circles by Fomin? | Beautiful Books

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Mathematical Circles (Russian Experience) by Fomin is an excellent introduction to the world of mathematics. Cheenta Math Olympiad programs use it for students in Grades 5 to 8. Even older students can enjoy the material and problems presented here. In this video we discuss more on this.


Keep learning great Mathematics!
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i have used ctpcm it really increased my geometry skill everychild prep for olympiad should do that

Aman_iitbh
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मुझे यह किताब इतनी पसंद आई कि मैंने इसे अपने स्कूल की लाइब्रेरी से चुरा लिया।

kennytheripper
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Sir, do you give online coaching of Russian mathematics ?

pranjalartcraft
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You say its for 5th grade students?
What's the pre-requisite?

iXpress
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(x+y)(x-y) = 31

So either:

1) x+y = 31 and x-y = 1 which imply 2y = 30 (y=15) and x = 16
2) x+y = 1 and x-y = 31 which imply -2y = 30 (y=-15) and x = 16

I thought there might be more but, if both x and y are integers, then x+y and x-y must also be integers. As you say, they are therefore equal to 1 and 31. Or are they?? Why should they not equal -1 and -31 instead?

3) x+y = -31 and x-y = -1 which imply 2y = -30 (y=-15) and x = -16
4) x+y = -1 and x-y = -31 which imply -2y = -30 (y=15) and x = -16

Success?

dylanparker