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Hard Math Trivia Questions
The hard questions from our math set, 14 of them, each with the answer and an explanation below the game.
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The hard band is named results and specialist vocabulary, from Wiles and Euclid to topology, symmetric matrices and Goldbach's conjecture. Each has a single settled answer, so the round stays fair rather than becoming guesswork.
14 hard math trivia questions with answers
Who published a proof of Fermat's Last Theorem in the 1990s?
Answer: Andrew Wiles The problem had stood unsolved for more than three centuries.Why?
Roughly what is the value of the golden ratio?
Answer: 1.618 It is the positive solution of x squared equals x plus one.
Which branch of mathematics studies properties unchanged by stretching and bending?
Answer: Topology It is why a mug and a doughnut are treated as the same shape.Why?
Which number base does hexadecimal use?
Answer: Sixteen The extra six digits are written as the letters A to F.Why?
Who wrote the Elements, the foundational text of classical geometry?
Answer: Euclid It set out geometry from a handful of postulates and stayed a textbook for millennia.Why?
What does the fundamental theorem of algebra guarantee about a non-constant polynomial?
Answer: It has at least one complex root Allowing complex numbers is what makes the statement come out clean.Why?
A number that cannot be written as a ratio of two integers is called what?
Answer: Irrational The square root of two was the classic first example.
Which mathematician introduced the letter i for the square root of minus one?
Answer: Leonhard Euler He also gave the identity that ties together e, i, pi, one and zero.Why?
What is the derivative of sin x with respect to x?
Answer: cos x Differentiating four times brings you back to where you started.Why?
Which conjecture proposes that every even number above two is the sum of two primes?
Answer: Goldbach's conjecture It has been checked to enormous values but never proved in general.
How many faces does a regular dodecahedron have?
Answer: Twelve Each face is a regular pentagon, and it is one of the five Platonic solids.Why?
The recurring decimal 0.999... is equal to what?
Answer: Exactly 1 One third is 0.333..., and three times each side gives the result.
A square matrix that equals its own transpose is described as what?
Answer: Symmetric Reflecting it across the leading diagonal changes nothing.
Rolling two fair six-sided dice, what is the probability the total is seven?
Answer: 1 in 6 Six of the thirty-six outcomes give seven, the most of any total.
Answer key
- Andrew Wiles
- 1.618
- Topology
- Sixteen
- Euclid
- It has at least one complex root
- Irrational
- Leonhard Euler
- cos x
- Goldbach's conjecture
- Twelve
- Exactly 1
- Symmetric
- 1 in 6
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