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129 free Math trivia questions with answers — science & nature quiz, new questions added Aug 2026.
74 free Math trivia questions with answers. Math trivia for kids does not have to mean times tables. This quiz starts with the fun stuff an 8-year-old can get right - how many sides a hexagon has, what a prime number is, why zero is strange - and works up to questions that will make a math teacher pause: pi, Fibonacci, famous mathematicians and the odd history behind everyday numbers. Play it as a family in the car, use it as a classroom warm-up, or run it as a round at a quiz night. Questions arrive one at a time with four choices, instant scoring and a one-line explanation, so nobody has to know the answer to enjoy the question. Every answer has been checked against a reference page, and the source is shown under each explanation. If something looks wrong you can flag it in one tap.
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Q 01What is the sum of the interior angles of any triangle?
180 degrees
The sum of the interior angles of any triangle, regardless of its shape or size, is always 180 degrees. This is a fundamental concept in Euclidean geometry.
Q 02What defines a prime number?
An integer greater than 1 with exactly two positive divisors: 1 and itself
A prime number is an integer greater than 1 with exactly two positive divisors, 1 and itself: 7 is prime, while 9 has the divisors 1, 3 and 9.
Q 03In algebra, what kind of equation is y = 3x + 2 an example of?
Linear
y = 3x + 2 is a linear equation: its variable appears only to the first power, so its graph is a straight line with slope 3 and y-intercept 2.
Q 04In calculus, what concept measures the instantaneous rate of change of a function?
Derivative
The derivative measures a function's instantaneous rate of change; geometrically it is the slope of the tangent line at that point, so the derivative of x² is 2x.
Q 05What is the approximate value of the mathematical constant pi (π) to two decimal places?
3.14
Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter, approximately 3.14159. To two decimal places, it is 3.14.
Q 06Which mathematical theorem describes the relationship between the three sides of a right-angled triangle?
Pythagorean theorem
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Q 07In which number system is information represented using only two distinct symbols, typically 0 and 1?
Binary
Binary, the base-2 system, writes every number with 0 and 1 alone, which is why it underpins digital electronics and computers.
Q 08What formula is used to calculate the area of a circle?
A = πr²
The area of a circle is calculated by multiplying pi (π) by the square of its radius (r). The formula is A = πr².
Q 09In statistics, what term refers to the average of a set of numbers?
Mean
The mean, often called the average, is a measure of central tendency calculated by summing all the values in a dataset and dividing by the number of values.
Q 10Which sequence starts 0, 1, with each later number the sum of the two before it?
Fibonacci sequence
The Fibonacci sequence runs 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, each term the sum of the two before it.
Q 11What is a number that can be expressed as a fraction p/q, where p and q are integers and q is not zero?
Rational number
A rational number is any number that can be written as a fraction, p/q, where both p and q are integers and q is not equal to zero.
Q 12Which branch of mathematics studies properties preserved under stretching and bending, but not tearing?
Topology
Topology, nicknamed 'rubber-sheet geometry', studies properties that survive stretching and bending: a coffee mug and a doughnut are topologically the same, each having exactly one hole.
Q 13What mathematical operation is the inverse of exponentiation?
Logarithm
Q 21How many sides does a hexagon have?
6
A hexagon is a polygon with six sides and six angles.
Q 22Which mathematician coined the term 'fractal' in 1975?
Benoît Mandelbrot
Benoît Mandelbrot coined 'fractal' in 1975 from the Latin fractus, 'broken', and popularised such shapes with computer images of the Mandelbrot set.
Q 23In algebra, what is a symbol for a value that is unknown or can change?
Variable
A variable is a symbol, typically a letter, that represents an unknown value or a value that can change in a mathematical expression or equation.
What number does the Roman numeral 'C' represent?
A logarithm is the inverse operation of exponentiation. It answers the question: 'To what power must a given base be raised to produce a certain number?'
Q 14What is a geometric shape whose parts resemble the whole at various scales called?
Fractal
A fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually exhibiting self-similarity, where parts of the shape resemble the whole.
Q 15Which of these numbers is an integer?
-7
An integer is any positive or negative whole number, including zero. It does not include fractions or decimals.
Q 16What is a step-by-step procedure for solving a mathematical problem or performing a computation?
Algorithm
An algorithm in mathematics is a procedure, a description of a set of steps that can be used to solve a mathematical computation or problem.
Q 17In the octal number system, what is the base?
8
The octal number system is a base-8 system, meaning it uses eight distinct digits (0 through 7) to represent numbers.
Q 18What do we call a real number that cannot be written as a fraction p/q of integers?
Irrational
An irrational number is a real number that cannot be expressed as a simple fraction of two integers. Its decimal representation is non-terminating and non-repeating.
Q 19What term names an expression of variables and coefficients using only +, −, × and non-negative integer exponents?
Polynomial
A polynomial is a mathematical expression consisting of variables, coefficients, and the operations of addition, subtraction, multiplication, and non-negative integer exponents.
Q 20In mathematics, what is a function that 'undoes' the operation of another function?
Inverse function
An inverse function essentially 'undoes' the effects of the original function. If f(x) produces y, then putting y into the inverse of f produces the output x.
100
In the Roman numeral system, 'C' stands for one hundred.
Q 25Which ancient Greek mathematician is often called the 'Father of Geometry'?
Euclid
Euclid, an ancient Greek mathematician, is widely referred to as the 'Father of Geometry' due to his influential work 'Elements'.
Q 26Which calculus operation finds the area under a curve between two limits?
Integration
Integration finds the area under a curve: the definite integral of f(x) from a to b sums infinitely many thin rectangles, so the integral of x from 0 to 1 is 1/2.
Q 27What is the probability of rolling a 3 on a standard six-sided die?
1/6
A standard six-sided die has six equally likely outcomes (1, 2, 3, 4, 5, 6), so the probability of rolling any specific number, like a 3, is 1 out of 6.
Q 28An angle that measures exactly 90 degrees is known as what type of angle?
Right angle
A right angle is an angle that forms a square corner and measures exactly 90 degrees.
Q 29Which numeral system uses base 16, with the letters A to F standing for the values ten to fifteen?
Hexadecimal
Hexadecimal is base 16, using digits 0–9 and letters A–F; programmers favour it because each hex digit maps to exactly four binary bits, so a byte is always two hex digits.
Q 30In a set of numbers sorted from smallest to largest, what is the middle value called?
Median
The median is the middle value once the numbers are arranged from smallest to greatest.