Singapore Mathematical Olympiad

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Singapore Mathematical Olympiad Training Handbook Sec
singapore mathematical olympiad training handbook sec
Language: english
PDF pages: 132, PDF size: 2.59 MB
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Singapore Mathematical Olympiad Training Handbook Sec
singapore mathematical olympiad training handbook sec
Language: english
PDF pages: 85, PDF size: 1.69 MB
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Singapore Mathematical Olympiad Training (secondary 1 & 2) Maths N
singapore mathematical olympiad training (secondary 1 & 2) maths n
.Objectives     Prepare students keen in Mathematics for the SMO (Senior) Enhance students’ Mathematical knowledge and sharpen their ingenious problem solving skill Strengthen.

Language: english
PDF pages: 10, PDF size: 0.3 MB
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Solution Singapore Mathematical Olympiads 1994-1997
solution singapore mathematical olympiads 1994-1997
Now suppose that n is an integer greater than 3, and that it has been proven that f(m) is the reversal of the binary digits of m for every positive integer m <Looking at the definition of j, we see that 3 cases arise, depending on whether n has the form 2m, 4m + 1, or 4m +Let us introduce that notation A to denote the reversal of the digits in A, if A is a string of binary digits (i.e., O's and l's). If n has the form 2m, then the binary representation of n has the form A0 2, where the string A 2 is .

Language: english
PDF pages: 21, PDF size: 4.92 MB
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Singapore International Mathematical Olympiad National Team
singapore international mathematical olympiad national team
Suppose that the altitude of ABC at B intersects the circle with diameter AC at P and Q, and the altitude at C intersects the circle with diameter AB at M and N . Prove that P, Q, M and N lie on a circle. Show that a path on a rectangular grid which starts at the northwest corner, goes through each point on the grid exactly once, and ends at the southeast corner divides the grid into two equal halves: (a) those regions opening north or east; and (b) those regions opening south or west.

Language: english
PDF pages: 37, PDF size: 0.34 MB
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