Archimedes Lab Mental and Visual PuzzlesArchimedes' Lab: Mental Activities that Enhance Critical and Creative Thinking Skills
http://www.archimedes-lab.org/
A smart non-academic math web site for inquisitive minds offering a huge variety of mind and visual puzzles and activities that enhance critical, logical, and creative thinking skills, which keep your brain active!puzzles, brainteasers, recreational mathematics, mental activities, gamesEducation TrainingenCopyright 2013contact@giannisarcone.com (GIanni A. Sarcone)contact@giannisarcone.comhttp://www.archimedes-lab.org/http://www.archimedes-lab.org/im_navpics2/archim_cartoonver.gifArchimedes Lab Mental and Visual Puzzleshttp://www.archimedes-lab.org/
Sun, 13 Apr 2014 17:52:57 GMTSun, 13 Apr 2014 17:52:57 GMTRSS DreamFeeder v 2.5.2SUNDAY PUZZLE #57According to Kepler's laws the orbit of the Earth is an ellipse with the Sun at one of the two foci (f). Moreover, a line segment joining our planet and the Sun sweeps out equal areas during equal intervals of time (thus, sectors A1, A2 and A3 are of the same area). If gravity suddenly disappeared, would this still be true?According to Kepler's laws the orbit of the Earth is an ellipse with the Sun at one of the two foci (f). Moreover, a line segment joining our planet and the Sun sweeps out equal areas during equal intervals of time (thus, sectors A1, A2 and A3 are of the same area). If gravity suddenly disappeared, would this still be true?
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Sun, 13 Apr 2014 17:51:06 GMTGianni A. Sarconedata:text/plain,manual:1397411577513:8062896267178141:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle to solve #56Visually prove that if 3 equal circles mutually intersect one another in an arbitrary point P, then the circle passing through their other three pairwise points of intersection (A, B, and C respectively) is congruent to the original 3 circles.Visually prove that if 3 equal circles mutually intersect one another in an arbitrary point P, then the circle passing through their other three pairwise points of intersection (A, B, and C respectively) is congruent to the original 3 circles.
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Mon, 07 Apr 2014 18:45:46 GMTG. Sarconedata:text/plain,manual:1396896445959:38:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #52Mary has exactly 20 seconds to write down 5 different 6-digit numbers, each of which must be divisible by 7, 11, and 13 respectively. Is this challenge possible? Can you help Mary?Mary has exactly 20 seconds to write down 5 different 6-digit numbers, each of which must be divisible by 7, 11, and 13 respectively. Is this challenge possible? Can you help Mary?
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Tue, 11 Mar 2014 17:33:45 GMTG. Sarconedata:text/plain,manual:1394559270604:7708158832006009:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #50Arnold put 50 dollars in the bank. During the month he withdraws as shown opposite. He was eventually surprised to see that the balance column adds to $51.00 instead of $50.00. It isn’t interest, so where did the extra dollar come from?Arnold put 50 dollars in the bank. During the month he withdraws as shown opposite. He was eventually surprised to see that the balance column adds to $51.00 instead of $50.00. It isn’t interest, so where did the extra dollar come from?
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Mon, 24 Feb 2014 10:18:15 GMTGianni Sarconedata:text/plain,manual:1393237168688:3200750890420246:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #49ABC is a general triangle. Point Q is an arbitrary point on BC. Draw a straight line through Q so that to divide the leaf into two equal gold quantities.ABC is a general triangle. Point Q is an arbitrary point on BC. Draw a straight line through Q so that to divide the leaf into two equal gold quantities.
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Sun, 16 Feb 2014 20:10:43 GMTGianni A. Sarconedata:text/plain,manual:1392581484323:9580868305894840:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #48If a line is drawn from the top of each cactus to the bottom of the other, as shown in the diagram, they intersect at a point 50 cm above the ground. What is the distance between the cactuses?If a line is drawn from the top of each cactus to the bottom of the other, as shown in the diagram, they intersect at a point 50 cm above the ground. What is the distance between the cactuses?
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Mon, 10 Feb 2014 12:00:29 GMTGianni Sarconedata:text/plain,manual:1392033670133:9199632517424858:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #47Probabilistically speaking, what is the expected number of children a couple should have in order to get both a boy AND a girl?Probabilistically speaking, what is the expected number of children a couple should have in order to get both a boy AND a girl?
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Thu, 06 Feb 2014 17:36:34 GMTGianni A. Sarconedata:text/plain,manual:1391708254355:100:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve #46Triangle ABC is isosceles (AB = AC) with an arbitrary point P on BC. Prove that the circumcircles of triangles ABP and APC are congruent.Triangle ABC is isosceles (AB = AC) with an arbitrary point P on BC. Prove that the circumcircles of triangles ABP and APC are congruent.
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Tue, 28 Jan 2014 10:42:49 GMTGianni A. Sarconedata:text/plain,manual:1390905832074:5370107132173687:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle To Solve (#45)Using just basic geometry prove that: axa’=bxb’+cxc’Using just basic geometry prove that: axa’=bxb’+cxc’Wed, 22 Jan 2014 19:06:50 GMTG. Sarconedata:text/plain,manual:1390417656708:614481060000591:http://www.archimedes-lab.org/index_FEED.xmlSUNDAY PUZZLE #44Is it possible to bisect any angle ? using just 5 (or even less) extra matchsticks?Is it possible to bisect any angle ? using just 5 (or even less) extra matchsticks?
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Sun, 12 Jan 2014 13:12:39 GMTGianni Sarconedata:text/plain,manual:1389532410201:7711049527562307:http://www.archimedes-lab.org/index_FEED.xmlPUZZLE #43 + solution to previous puzzleGiven: AB = CD = EF = r; P midpoint of AF; Q midpoint of BC; and R midpoint of DE. Prove that triangle PQR is equilateral!Given: AB = CD = EF = r; P midpoint of AF; Q midpoint of BC; and R midpoint of DE. Prove that triangle PQR is equilateral!
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Wed, 08 Jan 2014 20:34:22 GMTG. Sarconedata:text/plain,manual:1389213354023:4815344611172521:http://www.archimedes-lab.org/index_FEED.xmlSUNDAY PUZZLE #42 + Solution to previous puzzleCut this tasty cake up with exactly 4 straight cuts so that each portion of cake contains just one strawberry on the top.Cut this tasty cake up with exactly 4 straight cuts so that each portion of cake contains just one strawberry on the top.
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Sun, 29 Dec 2013 18:36:34 GMTGianni A. Sarconedata:text/plain,manual:1388342290333:5853586410965199:http://www.archimedes-lab.org/index_FEED.xmlAdded new Number Fact!All what you need to know about number 648...All what you need to know about number 648...
numbers/Num201_500.html
Tue, 24 Dec 2013 10:50:58 GMTG. Sarconedata:text/plain,manual:1387882386360:2551085316701656:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to previous puzzle #40Solution to previous puzzle #40Solution to previous puzzle #40
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Mon, 23 Dec 2013 12:34:40 GMTGianni A. Sarconedata:text/plain,manual:1387802205446:47339576533909350:http://www.archimedes-lab.org/index_FEED.xmlPosted New Sunday Puzzle #41Visually prove that the area of both cross-shaped ginger breads equals the area of the Xmas tree!Visually prove that the area of both cross-shaped ginger breads equals the area of the Xmas tree!
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Mon, 23 Dec 2013 12:30:34 GMTGianni A. Sarconedata:text/plain,manual:1387802205453:31420682485569824:http://www.archimedes-lab.org/index_FEED.xmlPosted New Sunday Puzzle #40When two atoms meet they interact as shown in the example. Following this rule, if a train of atoms slides over another train of atoms as shown, what will be the resulting color of each single atom (a up to j, see the picture)?When two atoms meet they interact as shown in the example.
Following this rule, if a train of atoms slides over another train of atoms as shown, what will be the resulting color of each single atom (a up to j, see the picture)?
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Sun, 15 Dec 2013 19:07:36 GMTG. Sarconedata:text/plain,manual:1387134589478:5417715350132593:http://www.archimedes-lab.org/index_FEED.xmlPosted Solution to Sunday Puzzle 39See the solution to previous puzzleSee the solution to previous puzzle
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Sun, 15 Dec 2013 19:03:50 GMTG. Sarconedata:text/plain,manual:1387134338928:6303443503382378:http://www.archimedes-lab.org/index_FEED.xmlPosted New Puzzle 39A new math challenge! Sunday Puzzle #39A new math challenge! Sunday Puzzle #39
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Thu, 12 Dec 2013 20:19:50 GMTG. Sarconedata:text/plain,manual:1386879682405:3912987130597425:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to SUNDAY PUZZLE #38See solution to the previous puzzle! (Sunday puzzle 38)See solution to the previous puzzle! (Sunday puzzle 38)
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Thu, 12 Dec 2013 20:17:20 GMTG. Sarconedata:text/plain,manual:1386879514056:23005443207022824:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to SUNDAY PUZZLE #37See solution to the previous puzzle!See solution to the previous puzzle!
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Sun, 01 Dec 2013 19:01:13 GMTGianni A. Sarconedata:text/plain,manual:1385924572968:8058981413628548:http://www.archimedes-lab.org/index_FEED.xmlSolve the SUNDAY PUZZLE #38Prove that, if in any triangle: AQ = AB/3, BR = BC/3, and CS = AC/3. Then, the area of triangles EFG = ABC/7Prove that, if in any triangle: AQ = AB/3, BR = BC/3, and CS = AC/3. Then, the area of triangles EFG = ABC/7
http://archimedes-lab.org/2-Sunday_puzzle.html
Sun, 01 Dec 2013 18:58:15 GMTGianni A. Sarconedata:text/plain,manual:1385924363803:6196224830811654:http://www.archimedes-lab.org/index_FEED.xmlPosted solution to SUNDAY PUZZLE#36See solution to the previous puzzle!See solution to the previous puzzle!
http://www.archimedes-lab.org/2-Sunday_puzzle_36.html
Sun, 24 Nov 2013 17:57:26 GMTGianni A. Sarconedata:text/plain,manual:1385315911694:3355:http://www.archimedes-lab.org/index_FEED.xmlSolve the SUNDAY PUZZLE #37Diophantine Cubic: Solve the equation below in integers! (Find at least 3 distinct roots, post the FULL reasoning along with the solution) x^3 + 1 = y^2Diophantine Cubic: Solve the equation below in integers! (Find at least 3 distinct roots, post the FULL reasoning along with the solution)
x^3 + 1 = y^2
http://www.archimedes-lab.org/2-Sunday_puzzle.html
Sun, 24 Nov 2013 17:54:25 GMTGianni A. Sarconedata:text/plain,manual:1385315806943:9176079172382748:http://www.archimedes-lab.org/index_FEED.xmlSolution to puzzle 35 has been postedUsing a beam balance try to categorize and arrange 5 weights - with no two weighing the same - from heaviest to lightest in seven or less weighing.Using a beam balance try to categorize and arrange 5 weights - with no two weighing the same - from heaviest to lightest in seven or less weighing.
http://www.archimedes-lab.org/2-Sunday_puzzle_35.html
Sun, 17 Nov 2013 13:57:06 GMTGianni A. Sarconedata:text/plain,manual:1384696761148:34764134286844336:http://www.archimedes-lab.org/index_FEED.xmlSolve the new SUNDAY PUZZLEProve that the area of a square inscribed in a semicircle is 2/5 the area of a square inscribed in a circle of same radius.Prove that the area of a square inscribed in a semicircle is 2/5 the area of a square inscribed in a circle of same radius.
http://archimedes-lab.org/2-Sunday_puzzle.html
Sun, 17 Nov 2013 13:51:56 GMTGianni A. Sarconedata:text/plain,manual:1384696559289:4457350249282971:http://www.archimedes-lab.org/index_FEED.xmlNew Puzzle Feature: Sunday PuzzleSolve it & win a badge...Solve it & win a badge...
http://archimedes-lab.org/2-Sunday_puzzle.html
Sun, 10 Nov 2013 21:06:22 GMTdata:text/plain,manual:1384117749746:8373016108698577:http://www.archimedes-lab.org/index_FEED.xmlSolution to puzzle 131The solution to the puzzle 'Triangle Partition' has been posted (along with the new puzzle feature: Sunday Puzzle)The solution to the puzzle 'Triangle Partition' has been posted (along with the new puzzle feature: Sunday Puzzle)
http://archimedes-lab.org/monthly_puzzles_131.html
Sun, 10 Nov 2013 20:32:24 GMTdata:text/plain,manual:1384115731745:4666272727082056:http://www.archimedes-lab.org/index_FEED.xmlSolution to puzzle 130The solution to the puzzle 'Rising Sun' has been posted along with the new monthly puzzle!The solution to the puzzle 'Rising Sun' has been posted along with the new monthly puzzle!
http://archimedes-lab.org/monthly_puzzles_130.html
Thu, 25 Apr 2013 06:49:18 GMThttp://archimedes-lab.org/monthly_puzzles_130.htmlDroodlesJust guess what the droodle below is supposed to be...Just guess what the droodle below is supposed to be...
http://archimedes-lab.org/droodle_challenge.html
Thu, 25 Apr 2013 06:49:10 GMThttp://www.archimedes-lab.org/droodle_challenge.htmlAnimal brainteaserReproduce and cut out the 4 cards along the lines, then assemble them to form a square in such a way that the picture of the animals on both sides of the card edges matchReproduce and cut out the 4 cards along the lines, then assemble them to form a square in such a way that the picture of the animals on both sides of the card edges match
http://archimedes-lab.org/workshopdonkeys.html
Tue, 05 Mar 2013 13:49:28 GMThttp://www.archimedes-lab.org/workshopdonkeys.htmlChinese New Year CalculatorAdded a cool Chinese New Year's calculator to our 'Perpetual calendar' webpageAdded a cool Chinese New Year's calculator to our 'Perpetual calendar' webpage
http://archimedes-lab.org/datOmatic.html
Wed, 09 Jan 2013 13:49:18 GMThttp://www.archimedes-lab.org/datOmatic.htmlTangramRead the real history of the game... Face original mind challenges of the Tangram puzzle...Read the real history of the game... Face original mind challenges of the Tangram puzzle...
http://archimedes-lab.org/pagetang1.html
Fri, 30 Oct 2009 03:45:57 GMThttp://www.archimedes-lab.org/tangramagicus/pagetang1.html