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Mathematics - mathematics
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The Mathematics Channel: Algebra, Geometry, Problems, Puzzles and History of Mathematics.
The Mathematics Channel: Algebra, Geometry, Problems, Puzzles and History of Mathematics.
Mathematics reveals the beauty of numbers: from algebra and geometry to calculus, problems, proofs and logic. Real-world applications, history of mathematics and elegant solutions for students and amateurs.
Answer: 50 cm² Follow @mathematics for more daily puzzles!
Открыть канал и посмотреть медиаHint: The diagonal of the inner square equals half the original side.
Открыть канал и посмотреть медиаThe Shrinking Square A square has area 100 cm². A second square is formed by joining the midpoints of its sides. What is the area of the second square?
Открыть канал и посмотреть медиаAnswer: 3 (giving 9 + 14 = 23, which is prime) Follow @mathematics for more daily puzzles!
Открыть канал и посмотреть медиаHint: Check what p² + 14 looks like modulo 3 for most primes.
Открыть канал и посмотреть медиаThe Prime Disguise Find the smallest prime p such that p² + 14 is also prime.
Открыть канал и посмотреть медиаAnswer: 3/4 (75%) — only odd×odd gives an odd product, probability 1/4. Follow @mathematics for more daily puzzles!
Открыть канал и посмотреть медиаHint: It's easier to find the probability the product is ODD first.
Открыть канал и посмотреть медиаThe Loaded Dice Dilemma Roll two fair dice. What is the probability that the product of the two numbers is even?
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