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Math Trivia
Discover mind-blowing mathematical facts that will amaze every number lover! From the golden ratio's hidden secrets to Fermat's last theorem - prepare to be stunned by mathematical mysteries that will fascinate you forever.
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Questions (122 of 122)
๐ขeasy
How many degrees are in a right angle?
๐ขeasy
What is โ144?
๐ดhard
The Borsuk-Ulam theorem implies that at any moment on Earth there are antipodal points with what shared quantity?
๐ขeasy
What is the next prime after 13?
๐ขeasy
What is the name for a polygon with three equal sides and three equal angles?
๐ดhard
Which mathematician proved in 1995 that Fermat's last theorem holds for all exponents?
๐ขeasy
In base ten, what digit cannot start a number (with leading zeros removed)?
๐ขeasy
What do you call an angle larger than 90 degrees but smaller than 180 degrees?
๐ขeasy
Which Greek letter is used for summation in mathematics?
๐ดhard
The prime ideal theorem is equivalent to which axiom in set theory?
๐กmedium
The mean value theorem guarantees a point c with which property for a differentiable function on a closed interval?
๐ดhard
The number of labeled trees on n vertices is given by which formula?
๐กmedium
Which mathematician introduced Gaussian elimination?
๐ดhard
The first complete proof of the prime number theorem was published independently in 1896 by which two mathematicians?
๐กmedium
Which mathematician introduced the integral sign (โซ)?
๐ขeasy
A cube has how many faces?
๐ดhard
The Turing machine formalism was introduced in which year?
๐ขeasy
Which fraction is equivalent to 0.5?
๐กmedium
Which algorithm finds the greatest common divisor of two integers efficiently?
๐ขeasy
What is the average of 4 and 10?
๐ดhard
The classification of finite simple groups includes a family called the sporadic groups. How many such groups are there?
๐ขeasy
What is the smallest natural number?
๐ขeasy
What do you call a number that reads the same forward and backward such as 121?
๐กmedium
What is the radius of a circle with circumference 2ฯ?
๐กmedium
In which year did Carl Friedrich Gauss reportedly solve the problem of summing numbers from 1 to 100 as a schoolboy?
๐ขeasy
What is the name of the horizontal axis used with coordinates?
๐กmedium
The number 1729 is famous because of a taxi ride conversation between which two mathematicians?
๐กmedium
The matrix product AB is defined when the number of columns of A equals what?
๐ขeasy
What is the Roman numeral for the number 50?
๐ดhard
The continued fraction of e has repeating pattern in which segment?
๐ดhard
Which mathematician introduced schemes, transforming algebraic geometry in the 1960s?
๐กmedium
What is the sum of the first 100 positive integers?
๐กmedium
The harmonic series ฮฃ(1/n) diverges. Whose proof used the grouping trick into blocks of powers of two?
๐ขeasy
What is the reciprocal of 4?
๐ดhard
What is the spectral radius of a matrix?
๐ขeasy
What is the place value of the 5 in 5,432?
๐ดhard
The Cauchy integral formula expresses values of a holomorphic function in terms of which object?
๐ดhard
Which theorem states that every countable model of Peano arithmetic is not categorical?
๐ขeasy
What is the perimeter of a rectangle with length 9 and width 3?
๐กmedium
What is the smallest perfect number?
๐ขeasy
What is 5ยฒ?
๐กmedium
Which branch of mathematics studies counting arrangements such as permutations and combinations?
๐ขeasy
What do you call a four-sided polygon with all sides equal and all angles right angles?
๐กmedium
What is the trace of the matrix with diagonal entries 2, 5, 7 and zeros elsewhere?
๐ดhard
The smallest example of a projective plane of order two is also known by which name?
๐ดhard
Emmy Noether published her landmark theorem relating symmetries and conservation laws in which year?
๐ดhard
In 1637, Pierre de Fermat claimed a marvelous proof in the margin of a book. Which book by Diophantus was it?
๐ดhard
The sum of reciprocals of twin primes is believed to do what?
๐กmedium
What is the name of the curve traced by a point on a rolling circle along a straight line?
๐ขeasy
What is 9! รท 8!?
๐ขeasy
What is the next number in the Fibonacci sequence: 1, 1, 2, 3, 5?
๐กmedium
What is the characteristic of a field with 1 + 1 = 0?
๐ดhard
The minimal polynomial over the rationals of cos(2ฯ/9) has what degree?
๐กmedium
What is the determinant of a 2ร2 matrix with entries a, b, c, d?
๐ดhard
Which theorem states that a finite game with mixed strategies has a Nash equilibrium?
๐กmedium
The law of large numbers deals with which concept in probability?
๐กmedium
What is the binomial coefficient C(10,3)?
๐ขeasy
How many centimeters are in one meter?
๐กmedium
Which theorem states that a right triangle with legs a and b and hypotenuse c satisfies aยฒ + bยฒ = cยฒ?
๐ดhard
Which result ensures that every non-constant polynomial over the complex numbers has a root?
๐กmedium
The continued fraction for the golden ratio has what pattern?
๐กmedium
What is the smallest counterexample to the statement that every odd number greater than 2 is prime?
๐ดhard
What is the exact value of the infinite product โ(nโฅ1) cos(x/2โฟ)?
๐กmedium
How many diagonals does a convex heptagon have?
๐กmedium
What is the solution to eหฃ = 1?
๐ขeasy
What is the area of a rectangle with sides 7 and 6?
๐กmedium
Which 20th century problem asked whether there are infinitely many primes of the form nยฒ + 1?
๐ดhard
The minimal polynomial of cos(2ฯ/7) has which degree?
๐กmedium
Which constant is defined as lim(nโโ) (1 + 1/n)โฟ?
๐กmedium
Which constant is approximately 0.57721 and appears in analysis and number theory?
๐ขeasy
How many minutes are in 3 hours?
๐ดhard
Which equation describes the distribution of prime numbers by relating zeros of ฮถ to fluctuations in ฯ(x)?
๐ขeasy
What is 10% of 250?
๐ดhard
The modular lambda function arises in the theory of which class of curves?
๐กmedium
The imaginary unit i satisfies which polynomial equation?
๐กmedium
What is the golden ratio equal to?
๐กmedium
Which matrix has ones on the diagonal and zeros elsewhere?
๐กmedium
What is the exact area under y = 1/x from 1 to e?
๐ดhard
The Ackermann function grows faster than any primitive recursive function. Who first studied it systematically in the 1920s?
๐ดhard
The Riemann zeta function equals the product over primes by which identity?
๐ดhard
Which mathematician introduced the concept of a ฯ-algebra in measure theory?
๐ดhard
Which theorem in functional analysis guarantees a fixed point in a compact convex subset of a normed space for continuous self-maps?
๐ดhard
In algebraic number theory, the ring of integers of Q(โ-5) fails unique factorization due to which element?
๐กmedium
Which mathematician wrote Elements, a foundational geometry text in thirteen books?
๐กmedium
What is the derivative of ln(x)?
๐กmedium
Who first rigorously proved that there are infinitely many primes?
๐ขeasy
What is 7 ร 8?
๐กmedium
Which ancient method finds primes by striking out multiples in a list?
๐กmedium
Which country issued a postage stamp honoring Srinivasa Ramanujan in 1962?
๐ดhard
The Gauss-Bonnet theorem relates curvature to which topological invariant of a compact surface?
๐กmedium
What does 0.999... (repeating) equal?
๐ขeasy
Which ancient Greek is known as the Father of Geometry?
๐ขeasy
A hexagon has how many sides?
๐ขeasy
What is the sum of the interior angles of a triangle in degrees?
๐ขeasy
How many milliliters are in one liter?
๐ดhard
The spectral theorem for real symmetric matrices states they are diagonalizable by what kind of matrix?
๐ขeasy
How many sides does a standard United States stop sign have?
๐ดhard
The Jordan curve theorem asserts what property of simple closed curves in the plane?
๐ขeasy
Which operation is the inverse of eหฃ in calculus?
๐กmedium
Which mathematician is credited with the method of exhaustion, a forerunner of integral calculus?
๐ขeasy
What is the smallest positive perfect square?
๐ดhard
Which conjecture asserts that all smooth projective varieties satisfy a deep relation between Hodge numbers and algebraic cycles?
๐ดhard
The fast multiplication algorithm with time complexity about n^1.585 was discovered by whom?
๐ขeasy
What is 0! (zero factorial)?
๐ขeasy
Which number is the only even prime in the set of whole numbers?
๐ดhard
Which result states that a continuous real-valued function on a closed interval attains its maximum and minimum?
๐กmedium
The Basel problem asks for the exact sum of the reciprocals of which powers of the positive integers?
๐กmedium
Which civilization used a base-60 numeral system that still influences time and angles?
๐ขeasy
Which shape has exactly one pair of parallel sides?
๐ขeasy
What is ฯ (pi) approximately equal to?
๐ดhard
What is the order of the general linear group GLโ over the field with three elements?
๐ขeasy
What is the least common multiple of 3 and 4?
๐ดhard
What is the Hausdorff dimension of the classic middle-thirds Cantor set?
๐ดhard
The first Fields Medals were awarded at which International Congress of Mathematicians?
๐ขeasy
What is the perimeter of a square with side length 5?
๐กmedium
Which mathematician proved that the general quintic is insoluble by radicals?
๐ขeasy
What is the median of the data set 2 7 9?
๐ดhard
Which mathematician discovered the fast Fourier transform in a 1965 paper with Tukey?
๐ดhard
Which mathematicians first proved the four color theorem using extensive computer verification in 1976?
๐ดhard
What is the smallest nontrivial group that is non-abelian?
๐ดhard
Which mathematician introduced categories and functors in the 1940s with Eilenberg?
๐ดhard
Which theorem states that any continuous function on a compact metric space is uniformly continuous?
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