Math Trivia Questions

Six rounds for a quiz night or Pi Day: tap a choice to see the answer and the working.

Question 1 of 10

See all 128 with answers
The Euler–Mascheroni constant, about 0.5772, is written with which Greek letter?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: 1 to 4 pick, Enter checks.

Scored round: 20 questions, no time limit.

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Unofficial practice questions, not affiliated with any school, exam board or quiz show. Bank checked October 2, 2026.

How it works

These math trivia questions and answers are the grown-up pack: famous numbers, where symbols and words come from, mathematicians and firsts, shapes and solids, mental arithmetic with the working shown, and puzzles and paradoxes.

Read the full guide

Six rounds, easiest first

Famous numbers runs from a baker's dozen to 6174, the number a digit-shuffling routine always reaches. Symbols and words asks who first wrote n! and what a surd has to do with being deaf. Mental arithmetic needs no paper: each answer comes with its shortcut, such as 99 × 7 as 700 minus 7.

Print a sheet and its key

Tap a choice and the card shows the answer and the working. The questions print as a sheet for the table, and the answer key prints apart from it.

  • For Pi Day, run Famous numbers and Symbols and words: both ask about pi and neither repeats the other.
  • Read Puzzles and paradoxes aloud and let the table argue about the three doors before you tap.

Questions and answers

What are some easy math trivia questions?

What is 15% of 80? What is a polygon with seven sides called? What is zero factorial equal to? The answers are 12, a heptagon and 1. Every round opens with questions like these.

What are some fun math trivia questions for adults?

Try the paradoxes: how a full hotel with infinitely many rooms still takes new guests, why 0.999... is exactly 1, and why your friends have more friends than you do. All three are in the last round.

Is this the same as the math trivia for kids?

No. The kids' set on this site is written for ages 8 to 12, and this pack asks none of its questions. Googols, magic squares and the equals sign stay there; Gabriel's horn and the number 6174 are here.

How were the answers checked?

Each fact was read on October 2, 2026 in the English Wikipedia article linked under it, and every arithmetic answer was worked out again by calculation. Living mathematicians and records that a new discovery changes are left out.

All 128 questions with answers

Famous numbers 20

  • A Mersenne prime is a prime number that is one less than a power of which number? Answer: Two. Source: Wikipedia: Mersenne prime
  • A positive whole number that can be made by multiplying two smaller ones is called what? Answer: A composite number. Source: Wikipedia: Composite number
  • Archimedes showed that pi is larger than 223/71 and smaller than which fraction? Answer: 22/7. Source: Wikipedia: Pi
  • The Babylonian clay tablet YBC 7289 shows a close value for which number? Answer: The square root of 2. Source: Wikipedia: YBC 7289
  • The Euler–Mascheroni constant, about 0.5772, is written with which Greek letter? Answer: Gamma. Source: Wikipedia: Euler's constant
  • The golden ratio, about 1.618, is written with which Greek letter? Answer: Phi. Source: Wikipedia: Golden ratio
  • How many prime numbers are smaller than 10? Answer: Four. Source: Wikipedia: Prime number
  • How many zeros follow the 1 when one trillion is written out in the American way? Answer: 12. Source: Wikipedia: Trillion
  • The imaginary unit i is the square root of which number? Answer: −1. Source: Wikipedia: Imaginary number
  • In 1977 Graham's number was described as holding the record for the largest number ever used in what? Answer: A serious mathematical proof. Source: Wikipedia: Graham's number
  • Jacob Bernoulli came upon the constant e in 1683 while studying what? Answer: Compound interest. Source: Wikipedia: E (mathematical constant)
  • Johann Heinrich Lambert is credited with the first proof of which fact about pi? Answer: It is irrational. Source: Wikipedia: Johann Heinrich Lambert
  • The number e, about 2.718, is often named after which Swiss mathematician? Answer: Leonhard Euler. Source: Wikipedia: E (mathematical constant)
  • The numbers 220 and 284 are the smallest pair of which kind? Answer: Amicable numbers. Source: Wikipedia: Amicable numbers
  • Pi and e both belong to which class of numbers, those that are not the root of any polynomial with whole-number coefficients? Answer: Transcendental numbers. Source: Wikipedia: Transcendental number
  • Sort the digits of a four-digit number from high to low and from low to high, subtract, and repeat. Unless all four digits match, which number do you always reach? Answer: 6174. Source: Wikipedia: Kaprekar's routine
  • The square root of 2 is famous as an early known example of which kind of number? Answer: An irrational number. Source: Wikipedia: Square root of 2
  • Thirteen of something, one more than twelve, goes by which name? Answer: A baker's dozen. Source: Wikipedia: Dozen
  • What is zero factorial, written 0!, equal to? Answer: 1. Source: Wikipedia: Factorial
  • Which equation, tying together e, i, pi, 1 and 0, is often held up as an example of mathematical beauty? Answer: Euler's identity. Source: Wikipedia: Euler's identity

Symbols and words 20

  • A surd is an old name for an irrational root. The word comes from the Latin surdus. What does surdus mean? Answer: Deaf or mute. Source: Wikipedia: Nth root
  • A tangent line takes its name from the Latin tangere. What does tangere mean? Answer: To touch. Source: Wikipedia: Tangent
  • Arithmetic takes its name from the Greek arithmos. What is an arithmos? Answer: A number. Source: Wikipedia: Arithmetic
  • The bar between the top and bottom of a fraction is called a vinculum. What does the Latin word mean? Answer: A fetter or chain. Source: Wikipedia: Vinculum (symbol)
  • In a proof, the sign ∴ made of three dots stands for which word? Answer: Therefore. Source: Wikipedia: Therefore sign
  • In his book La Géométrie, who set the custom of writing unknowns as x, y and z? Answer: René Descartes. Source: Wikipedia: La Géométrie
  • Integer is a Latin word. What is its meaning? Answer: Whole. Source: Wikipedia: Integer
  • The integral sign ∫ is a stretched form of which letter? Answer: S. Source: Wikipedia: Integral symbol
  • Isosceles is built from two Greek roots. What do they mean? Answer: Equal legs. Source: Wikipedia: Isosceles triangle
  • James Joseph Sylvester gave which mathematical object its name in 1850, using the Latin word for womb? Answer: The matrix. Source: Wikipedia: Matrix (mathematics)
  • John Napier made up the word logarithm from Greek words for ratio and for what? Answer: Number. Source: Wikipedia: Logarithm
  • QED at the end of a proof is short for a Latin phrase with which meaning? Answer: Which was to be demonstrated. Source: Wikipedia: Q.E.D.
  • The sign ∅ for the empty set was inspired by a letter of which two alphabets? Answer: Danish and Norwegian. Source: Wikipedia: Empty set
  • Which German mathematician of the 1500s introduced the radical sign √ for a square root? Answer: Christoph Rudolff. Source: Wikipedia: Christoph Rudolff
  • Which German mathematician used the signs + and − in a treatise of 1489? Answer: Johannes Widmann. Source: Wikipedia: Plus and minus signs
  • Which Welsh mathematician first used the Greek letter π for the circle ratio, in 1706? Answer: William Jones. Source: Wikipedia: Pi
  • Who brought in the notation n! for a factorial, in 1808? Answer: Christian Kramp. Source: Wikipedia: Factorial
  • Who first used the notation f(x) for the value of a function? Answer: Leonhard Euler. Source: Wikipedia: Leonhard Euler
  • The word sine comes from the Latin sinus, 'bay' or 'fold', a mistranslation of a word written in which language? Answer: Arabic. Source: Wikipedia: Sine and cosine
  • The word trigonometry joins the Greek for 'measure' with the Greek for which shape? Answer: Triangle. Source: Wikipedia: Trigonometry

Mathematicians and firsts 22

  • A problem that Blaise Pascal and Pierre de Fermat worked on around 1654 helped to start which branch of mathematics? Answer: Probability theory. Source: Wikipedia: Problem of points
  • The Abel Prize for mathematics is awarded by the king of which country? Answer: Norway. Source: Wikipedia: Abel Prize
  • An Erdős number measures how far a mathematician is from Paul Erdős. What is counted? Answer: Shared authorship of papers. Source: Wikipedia: Erdős number
  • The Babylonian clay tablet Plimpton 322 is famous for a table of what? Answer: Pythagorean triples. Source: Wikipedia: Plimpton 322
  • The Chinese mathematician Zu Chongzhi gave which fraction as a close value for pi? Answer: 355/113. Source: Wikipedia: Zu Chongzhi
  • Claude Shannon is known as the father of which field? Answer: Information theory. Source: Wikipedia: Claude Shannon
  • Emmy Noether's theorem ties each conservation law of physics to what? Answer: A symmetry. Source: Wikipedia: Noether's theorem
  • The Fields Medal goes only to mathematicians under which age? Answer: 40. Source: Wikipedia: Fields Medal
  • George Boole set out his algebra of logic in a book of 1854. What is the book's short title? Answer: The Laws of Thought. Source: Wikipedia: George Boole
  • Gerolamo Cardano's book Ars Magna holds the first published algebraic solution of which equations? Answer: Cubic and quartic equations. Source: Wikipedia: Ars Magna (Cardano book)
  • How many problems are on the list of Millennium Prize Problems chosen by the Clay Mathematics Institute? Answer: Seven. Source: Wikipedia: Millennium Prize Problems
  • How often is the Fields Medal awarded? Answer: Every four years. Source: Wikipedia: Fields Medal
  • In 1796 Carl Friedrich Gauss showed that a regular polygon of how many sides can be drawn with compass and straightedge? Answer: 17. Source: Wikipedia: Heptadecagon
  • In 1900 David Hilbert published a famous list of how many unsolved problems? Answer: 23. Source: Wikipedia: Hilbert's problems
  • In which year did Bernhard Riemann put forward the hypothesis that bears his name? Answer: 1859. Source: Wikipedia: Riemann hypothesis
  • Nicolas Bourbaki, named as the author of a long series of textbooks, was really what? Answer: A group of mathematicians sharing one pen name. Source: Wikipedia: Nicolas Bourbaki
  • The Nine Chapters on the Mathematical Art is a classic text from which country? Answer: China. Source: Wikipedia: The Nine Chapters on the Mathematical Art
  • On 16 October 1843, William Rowan Hamilton first wrote down the formula for quaternions on which bridge? Answer: Broom Bridge. Source: Wikipedia: Broom Bridge
  • Which ancient Greek geometer gave the ellipse, the parabola and the hyperbola the names we use? Answer: Apollonius of Perga. Source: Wikipedia: Apollonius of Perga
  • Which logician published the incompleteness theorems in 1931? Answer: Kurt Gödel. Source: Wikipedia: Gödel's incompleteness theorems
  • Which Persian mathematician and poet solved cubic equations with the help of conic sections? Answer: Omar Khayyam. Source: Wikipedia: Omar Khayyam
  • Who was the first woman to earn a doctorate in mathematics in the modern sense of the term? Answer: Sofya Kovalevskaya. Source: Wikipedia: Sofya Kovalevskaya

Shapes and solids 21

  • A chain hanging freely from its two ends forms which curve? Answer: A catenary. Source: Wikipedia: Catenary
  • A tesseract is the four-dimensional relative of which solid? Answer: The cube. Source: Wikipedia: Tesseract
  • After the circle, the Reuleaux triangle is the best-known example of which kind of curve? Answer: A curve of constant width. Source: Wikipedia: Reuleaux triangle
  • The circle, ellipse, parabola and hyperbola are all made by slicing which solid with a flat plane? Answer: A cone. Source: Wikipedia: Conic section
  • For a cube, count the corners, take away the edges and add the faces. Euler showed that every convex polyhedron gives the same answer. What is it? Answer: 2. Source: Wikipedia: Euler characteristic
  • How many Archimedean solids are there? Answer: 13. Source: Wikipedia: Archimedean solid
  • How many faces does a regular dodecahedron have? Answer: 12. Source: Wikipedia: Regular dodecahedron
  • How many faces does a regular octahedron have? Answer: 8. Source: Wikipedia: Octahedron
  • The Koch snowflake encloses a finite area. What is strange about its perimeter? Answer: It is infinitely long. Source: Wikipedia: Koch snowflake
  • The numbers 3, 4 and 5 are the best-known Pythagorean triple. What does that mean for a triangle with sides of those lengths? Answer: It has a right angle. Source: Wikipedia: Pythagorean triple
  • On a flat sheet, the inside angles of which shape always add up to 180 degrees? Answer: A triangle. Source: Wikipedia: Sum of angles of a triangle
  • On the surface of a sphere, the shortest path between two points runs along what? Answer: A great circle. Source: Wikipedia: Great circle
  • What is a cone or pyramid called once its top has been sliced off parallel to the base? Answer: A frustum. Source: Wikipedia: Frustum
  • What is a polygon with seven sides called? Answer: A heptagon. Source: Wikipedia: Heptagon
  • What is a polygon with twelve sides called? Answer: A dodecagon. Source: Wikipedia: Dodecagon
  • What is an angle called if it is larger than 180 degrees but smaller than 360? Answer: A reflex angle. Source: Wikipedia: Angle
  • What is odd about a Klein bottle? Answer: It has only one side. Source: Wikipedia: Klein bottle
  • What is the longest chord of a circle called? Answer: The diameter. Source: Wikipedia: Diameter
  • What is the ring-shaped region between two circles that share a center called? Answer: An annulus. Source: Wikipedia: Annulus (mathematics)
  • Which name fits a sphere that is slightly flattened at its poles, like the Earth? Answer: An oblate spheroid. Source: Wikipedia: Spheroid
  • Which solid has the shape of a ring doughnut? Answer: A torus. Source: Wikipedia: Torus

Mental arithmetic 23

  • A number is raised by 10% and the result is then cut by 10%. Where does it end up? Answer: 1% below where it started. Source: Worked out by calculation; method: Wikipedia: Percentage
  • How many seconds are there in a day of 24 hours? Answer: 86,400. Source: Worked out by calculation; method: Wikipedia: Day
  • MCMXCIX is which year? Answer: 1999. Source: Worked out by calculation; method: Wikipedia: Roman numerals
  • Through how many degrees does the minute hand of a clock turn in 20 minutes? Answer: 120. Source: Worked out by calculation; method: Wikipedia: Clock
  • What is 0.25 × 0.4? Answer: 0.1. Source: Worked out by calculation; method: Wikipedia: Multiplication
  • What is 1,000 minus 387? Answer: 613. Source: Worked out by calculation; method: Wikipedia: Subtraction
  • What is 1/8 written as a decimal? Answer: 0.125. Source: Worked out by calculation; method: Wikipedia: Decimal
  • What is 12.5% of 240? Answer: 30. Source: Worked out by calculation; method: Wikipedia: Percentage
  • What is 15 squared? Answer: 225. Source: Worked out by calculation; method: Wikipedia: Square number
  • What is 15% of 80? Answer: 12. Source: Worked out by calculation; method: Wikipedia: Percentage
  • What is 2 to the power of 10? Answer: 1,024. Source: Worked out by calculation; method: Wikipedia: Power of two
  • What is 2/3 of 96? Answer: 64. Source: Worked out by calculation; method: Wikipedia: Fraction
  • What is 25 × 16? Answer: 400. Source: Worked out by calculation; method: Wikipedia: Multiplication
  • What is 3/5 as a percentage? Answer: 60%. Source: Worked out by calculation; method: Wikipedia: Percentage
  • What is 35 × 35? Answer: 1,225. Source: Worked out by calculation; method: Wikipedia: Square number
  • What is 45 × 11? Answer: 495. Source: Worked out by calculation; method: Wikipedia: Multiplication
  • What is 48 divided by 0.5? Answer: 96. Source: Worked out by calculation; method: Wikipedia: Division (mathematics)
  • What is 5 cubed? Answer: 125. Source: Worked out by calculation; method: Wikipedia: Cube (algebra)
  • What is 7 factorial, that is 7 × 6 × 5 × 4 × 3 × 2 × 1? Answer: 5,040. Source: Worked out by calculation; method: Wikipedia: Factorial
  • What is 99 × 7? Answer: 693. Source: Worked out by calculation; method: Wikipedia: Multiplication
  • What is the average of 4, 8 and 15? Answer: 9. Source: Worked out by calculation; method: Wikipedia: Arithmetic mean
  • What is the binary number 1010 in everyday decimal? Answer: 10. Source: Worked out by calculation; method: Wikipedia: Binary number
  • What is the greatest common divisor of 48 and 36? Answer: 12. Source: Worked out by calculation; method: Wikipedia: Greatest common divisor

Puzzles and paradoxes 22

  • A barber shaves every man in the village who does not shave himself, and no one else. The puzzle of who shaves the barber is linked to which thinker? Answer: Bertrand Russell. Source: Wikipedia: Barber paradox
  • A prize is behind one of three doors. You pick one, the host opens an empty door among the other two, and you may switch. What is your chance of winning if you switch? Answer: 2 in 3. Source: Wikipedia: Monty Hall problem
  • According to the coastline paradox, the measured length of a coastline depends on what? Answer: The length of the ruler used to measure it. Source: Wikipedia: Coastline paradox
  • The Banach–Tarski paradox says that a solid ball can be cut into a few pieces and put back together as what? Answer: Two balls, each the size of the first. Source: Wikipedia: Banach–Tarski paradox
  • Benford's law says that in many real-life sets of numbers, about 30% of them begin with which digit? Answer: 1. Source: Wikipedia: Benford's law
  • Braess's paradox is the finding that adding a road to a road network can do what? Answer: Slow the traffic down. Source: Wikipedia: Braess's paradox
  • Buffon's needle is an experiment in dropping a needle onto a lined floor. Which number can it be used to estimate? Answer: Pi. Source: Wikipedia: Buffon's needle problem
  • The decimal 0.999..., with nines that go on forever, is equal to which number? Answer: Exactly 1. Source: Wikipedia: 0.999...
  • The eight queens puzzle asks for eight chess queens placed so that none attacks another. How many solutions does it have? Answer: 92. Source: Wikipedia: Eight queens puzzle
  • Gabriel's horn is a shape with a finite volume. What is paradoxical about its surface? Answer: Its area is infinite. Source: Wikipedia: Gabriel's horn
  • Hilbert's paradox pictures a hotel that is full and can still take in more guests. What is unusual about the hotel? Answer: It has infinitely many rooms. Source: Wikipedia: Hilbert's paradox of the Grand Hotel
  • How many players take part in John Conway's Game of Life, devised in 1970? Answer: None. Source: Wikipedia: Conway's Game of Life
  • In a knight's tour, what must the chess knight do? Answer: Visit every square of the board exactly once. Source: Wikipedia: Knight's tour
  • In an old river-crossing puzzle, a farmer has to ferry a wolf, a goat and which third thing? Answer: A cabbage. Source: Wikipedia: Wolf, goat and cabbage problem
  • In Simpson's paradox, a trend shows up in several groups of data. What happens to it when the groups are combined? Answer: It disappears or reverses. Source: Wikipedia: Simpson's paradox
  • In the three utilities puzzle, three houses must each be joined to gas, water and electricity on a flat sheet. What is the catch? Answer: It cannot be done without two lines crossing. Source: Wikipedia: Three utilities problem
  • In Zeno's best-known paradox, which slow animal can swift Achilles never catch? Answer: A tortoise. Source: Wikipedia: Zeno's paradoxes
  • The infinite monkey theorem says that a monkey hitting keys at random for an infinite time will almost surely type what? Answer: Any given text, such as the works of Shakespeare. Source: Wikipedia: Infinite monkey theorem
  • The sorites paradox asks at what point grains of sand, added one at a time, become what? Answer: A heap. Source: Wikipedia: Sorites paradox
  • Ten pigeons fly into nine pigeonholes. What does the pigeonhole principle say must be true? Answer: At least one hole holds more than one pigeon. Source: Wikipedia: Pigeonhole principle
  • What does the friendship paradox say about a typical person's friends? Answer: They have more friends than that person does. Source: Wikipedia: Friendship paradox
  • Which paradox is summed up by the sentence 'This sentence is false'? Answer: The liar paradox. Source: Wikipedia: Liar paradox