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- 22:06, 29 January 2021 (diff | hist) . . (+1,654) . . N 1979 IMO Problems/Problem 6 (Created page with "==Problem== Let <math>A</math> and <math>E</math> be opposite vertices of an octagon. A frog starts at vertex <math>A.</math> From any vertex except <math>E</math> it jumps to...")
- 22:04, 29 January 2021 (diff | hist) . . (-239) . . 1979 IMO Problems/Problem 5
- 22:03, 29 January 2021 (diff | hist) . . (+668) . . N 1979 IMO Problems/Problem 5 (Created page with "==Problem== Determine all real numbers a for which there exists positive reals <math>x_{1}, \ldots, x_{5}</math> which satisfy the relations <math> \sum_{k=1}^{5} kx_{k}=a,</m...")
- 22:01, 29 January 2021 (diff | hist) . . (+155) . . 1979 IMO Problems/Problem 4 (current)
- 22:01, 29 January 2021 (diff | hist) . . (+3,734) . . N 1979 IMO Problems/Problem 4 (Created page with "==Problem== We consider a point <math>P</math> in a plane <math>p</math> and a point <math>Q \not\in p</math>. Determine all the points <math>R</math> from <math>p</math> for...")
- 21:55, 29 January 2021 (diff | hist) . . (+3) . . 1979 IMO Problems/Problem 3 (current)
- 21:55, 29 January 2021 (diff | hist) . . (-100) . . 1979 IMO Problems/Problem 3
- 21:54, 29 January 2021 (diff | hist) . . (+8,421) . . N 1979 IMO Problems/Problem 3 (Created page with "==Problem== Two circles in a plane intersect. <math>A</math> is one of the points of intersection. Starting simultaneously from <math>A</math> two points move with constant sp...")
- 21:50, 29 January 2021 (diff | hist) . . (+34) . . 1979 IMO Problems/Problem 2 (current)
- 21:49, 29 January 2021 (diff | hist) . . (+2,500) . . N 1979 IMO Problems/Problem 2 (Created page with "==Problem== We consider a prism which has the upper and inferior basis the pentagons: <math>A_{1}A_{2}A_{3}A_{4}A_{5}</math> and <math>B_{1}B_{2}B_{3}B_{4}B_{5}</math>. Each o...")
- 16:12, 29 January 2021 (diff | hist) . . (+45) . . 1979 IMO Problems/Problem 1 (current)
- 16:11, 29 January 2021 (diff | hist) . . (+1,773) . . N 1979 IMO Problems/Problem 1 (Created page with "==Problem== If <math>p</math> and <math>q</math> are natural numbers so that<cmath> \frac{p}{q}=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+ \ldots -\frac{1}{1318}+\frac{1}{1319}, <...")
- 16:10, 29 January 2021 (diff | hist) . . (+2,773) . . 1979 IMO Problems
- 16:06, 29 January 2021 (diff | hist) . . (+66) . . 1978 IMO Problems/Problem 6
- 16:05, 29 January 2021 (diff | hist) . . (0) . . 1978 IMO Problems/Problem 5 (current)
- 16:05, 29 January 2021 (diff | hist) . . (+1,256) . . 1978 IMO Problems/Problem 5
- 16:04, 29 January 2021 (diff | hist) . . (+150) . . 1978 IMO Problems/Problem 4 (current)
- 16:03, 29 January 2021 (diff | hist) . . (+54) . . 1978 IMO Problems/Problem 4
- 16:03, 29 January 2021 (diff | hist) . . (+2,920) . . 1978 IMO Problems/Problem 4
- 16:01, 29 January 2021 (diff | hist) . . (+2,311) . . 1978 IMO Problems/Problem 3 (current)
- 16:00, 29 January 2021 (diff | hist) . . (+75) . . 1978 IMO Problems/Problem 2
- 15:59, 29 January 2021 (diff | hist) . . (+624) . . 1978 IMO Problems/Problem 2
- 15:57, 29 January 2021 (diff | hist) . . (+1,289) . . 1978 IMO Problems/Problem 1
- 15:56, 29 January 2021 (diff | hist) . . (+4) . . 1978 IMO Problems (current)
- 15:56, 29 January 2021 (diff | hist) . . (+2,726) . . 1978 IMO Problems
- 15:54, 29 January 2021 (diff | hist) . . (+33) . . 1977 IMO Problems (current)
- 15:51, 29 January 2021 (diff | hist) . . (+5) . . 1977 IMO Problems
- 15:49, 29 January 2021 (diff | hist) . . (0) . . 1977 IMO Problems/Problem 6 (current)
- 15:49, 29 January 2021 (diff | hist) . . (+66) . . 1977 IMO Problems/Problem 6
- 15:48, 29 January 2021 (diff | hist) . . (+2) . . 1977 IMO Problems/Problem 4 (current)
- 15:48, 29 January 2021 (diff | hist) . . (+8) . . 1977 IMO Problems/Problem 4
- 15:47, 29 January 2021 (diff | hist) . . (+1,646) . . 1977 IMO Problems/Problem 4
- 15:46, 29 January 2021 (diff | hist) . . (+1,298) . . N 1977 IMO Problems/Problem 5 (Created page with "==Problem== Let <math>a,b</math> be two natural numbers. When we divide <math>a^2+b^2</math> by <math>a+b</math>, we the the remainder <math>r</math> and the quotient <math>q....") (current)
- 15:46, 29 January 2021 (diff | hist) . . (-1,298) . . 1977 IMO Problems/Problem 4 (Blanked the page) (Tag: Blanking)
- 15:45, 29 January 2021 (diff | hist) . . (+38) . . 1977 IMO Problems/Problem 4
- 15:45, 29 January 2021 (diff | hist) . . (+1,260) . . N 1977 IMO Problems/Problem 4 (Created page with "==Problem== Let <math>a,b</math> be two natural numbers. When we divide <math>a^2+b^2</math> by <math>a+b</math>, we the the remainder <math>r</math> and the quotient <math>q....")
- 15:43, 29 January 2021 (diff | hist) . . (+1,993) . . N 1977 IMO Problems/Problem 3 (Created page with "==Problem== Let <math>n</math> be a given number greater than 2. We consider the set <math>V_n</math> of all the integers of the form <math>1 + kn</math> with <math>k = 1, 2,...") (current)
- 15:42, 29 January 2021 (diff | hist) . . (+1,201) . . N 1977 IMO Problems/Problem 2 (Created page with "==Problem== In a finite sequence of real numbers the sum of any seven successive terms is negative and the sum of any eleven successive terms is positive. Determine the maximu...") (current)
- 15:40, 29 January 2021 (diff | hist) . . (+1,172) . . N 1977 IMO Problems/Problem 1 (Created page with "==Problem== In the interior of a square <math>ABCD</math> we construct the equilateral triangles <math>ABK, BCL, CDM, DAN.</math> Prove that the midpoints of the four segments...") (current)
- 15:39, 29 January 2021 (diff | hist) . . (+2,714) . . N 1977 IMO Problems (Created page with "Problems of the 1977 IMO in Yugoslavia. ==Problem 1== In the interior of a square <math>ABCD</math> we construct the equilateral triangles <math>ABK, BCL, CDM, DAN.</math...")
- 15:30, 29 January 2021 (diff | hist) . . (-4) . . 1976 IMO Problems/Problem 6 (current)
- 15:29, 29 January 2021 (diff | hist) . . (-6) . . 1976 IMO Problems/Problem 6
- 15:29, 29 January 2021 (diff | hist) . . (-28) . . 1976 IMO Problems/Problem 6
- 15:28, 29 January 2021 (diff | hist) . . (+1,381) . . 1976 IMO Problems/Problem 5 (current)
- 15:27, 29 January 2021 (diff | hist) . . (-2) . . 1976 IMO Problems/Problem 3 (current)
- 15:26, 29 January 2021 (diff | hist) . . (+10) . . 1976 IMO Problems/Problem 3
- 15:25, 29 January 2021 (diff | hist) . . (+5) . . 1976 IMO Problems (current)
- 15:25, 29 January 2021 (diff | hist) . . (+12) . . 1976 IMO Problems
- 15:24, 29 January 2021 (diff | hist) . . (+234) . . 1976 IMO Problems
- 15:23, 29 January 2021 (diff | hist) . . (+1) . . 1976 IMO Problems
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