100 Maths Quiz Questions & Answers 2026 — All Ages

Arithmetic & Number Theory — 25 Questions

1. What is a prime number? (Number divisible only by 1 and itself)
2. What is the next prime after 7? (11)
3. What is the value of Pi to 5 decimal places? (3.14159)
4. What is a perfect number? (Equal to sum of its proper divisors — e.g., 6 = 1+2+3)
5. What is a Fibonacci number? (Each number = sum of two preceding: 1, 1, 2, 3, 5, 8, 13...)
6. What is the square root of 256? (16)
7. What is 2¹⁰? (1,024)
8. What is a googol? (10^100 — 1 followed by 100 zeros)
9. What does LCM stand for? (Least Common Multiple)
10. What is the GCF of 12 and 8? (4)
11. What is a rational number? (Can be expressed as a fraction p/q where q≠0)
12. What is the sum of interior angles of a triangle? (180°)
13. What is absolute value? (Distance from zero — always non-negative)
14. What is a factorial? (n! = n × (n-1) × ... × 1; e.g., 5! = 120)
15. What is 0! (zero factorial)? (1)
16. What is the binary representation of 10? (1010)
17. What is Euler's number (e) approximately? (2.71828)
18. What is the golden ratio? (~1.618 — φ (phi) — found in nature and art)
19. How many zeros in a billion? (9 zeros — 1,000,000,000)
20. What is modular arithmetic? (Arithmetic where numbers wrap around after reaching a modulus — clock math)
21. What is the square root of -1 called? (i — imaginary number)
22. What is a composite number? (A whole number > 1 that is not prime)
23. What are twin primes? (Prime pairs differing by 2: like 3&5, 5&7, 11&13)
24. What is infinity? (Concept of an unlimited quantity — not a real number)
25. What is a Roman numeral for 2026? (MMXXV)

Geometry — 25 Questions

1. How many sides does an octagon have? (8)
2. What is the formula for the area of a circle? (A = πr²)
3. What is the formula for circumference? (C = 2πr)
4. What is the Pythagorean theorem? (a² + b² = c² — for right triangles)
5. What is a right angle in degrees? (90°)
6. What are supplementary angles? (Two angles that add up to 180°)
7. What is an isosceles triangle? (Triangle with two equal sides)
8. What is the volume formula for a sphere? (V = 4/3 πr³)
9. How many faces does a cube have? (6)
10. What is a regular polygon? (All sides and angles are equal)
11. What is the sum of angles in a hexagon? (720°)
12. What is a chord? (Line segment connecting two points on a circle)
13. What is the area of a rectangle? (length × width)
14. What is a hypotenuse? (Longest side of a right triangle — opposite the right angle)
15. How many degrees are in a full rotation? (360°)
16. What is a tangent to a circle? (Line that touches the circle at exactly one point)
17. What are parallel lines? (Lines in the same plane that never meet)
18. What is the perimeter formula for a square? (P = 4s)
19. What is a scalene triangle? (All three sides have different lengths)
20. What is the surface area of a cube? (6 × side²)
21. What is a right-angled triangle? (Triangle with one 90° angle)
22. What does congruent mean? (Same shape and size)
23. What is a radius? (Distance from the center to the edge of a circle)
24. What is a diameter? (Chord that passes through the center — twice the radius)
25. What is the exterior angle of a regular hexagon? (60°)

Algebra — 25 Questions

1. What is a variable? (Symbol (usually x or y) representing an unknown value)
2. What is a linear equation? (Equation where variables have power of 1 — forms a straight line)
3. What is the quadratic formula? (x = (-b ± √(b²-4ac)) / 2a)
4. What is a coefficient? (Number multiplied by a variable — in 3x, 3 is the coefficient)
5. Solve: 2x + 5 = 13. What is x? (x = 4)
6. What is a function? (Relationship where each input has exactly one output)
7. What is the slope formula? (m = (y₂-y₁)/(x₂-x₁))
8. What is a polynomial? (Expression with multiple terms using variables and coefficients)
9. What is the y-intercept? (Point where a line crosses the y-axis — x=0)
10. What is factoring? (Rewriting expression as a product of its factors)
11. What is the FOIL method? (First, Outer, Inner, Last — multiplying two binomials)
12. What is a system of equations? (Two or more equations with the same variables)
13. What is an exponent? (Number indicating how many times to multiply base by itself)
14. What is a logarithm? (Inverse of exponentiation — log₁₀(100) = 2)
15. What is an inequality? (Mathematical statement using <, >, ≤, ≥ instead of =)
16. What is a quadratic equation? (An equation where the highest power of the variable is 2)
17. What is the discriminant in the quadratic formula? (b² - 4ac, which determines the number of real solutions)
18. What is a monomial? (A polynomial with only one term)
19. What is a binomial? (A polynomial with exactly two terms)
20. What is the additive inverse of a number? (The number that, when added, gives zero — e.g. -5 for 5)
21. What is the multiplicative inverse of a number? (The reciprocal — e.g. 1/5 for 5)
22. What is the slope-intercept form of a linear equation? (y = mx + b)
23. What is simplifying an expression? (Combining like terms to write it in its simplest form)
24. What does it mean for two equations to be a "system" solved simultaneously? (Finding values that satisfy all equations at once)

Statistics & Famous Mathematicians — 25 Questions

1. What is the mean? (Average — sum of values divided by count)
2. What is the median? (Middle value when sorted)
3. What is the mode? (Most frequently occurring value)
4. What is standard deviation? (Measure of how spread out data is from the mean)
5. What is probability? (Likelihood of event occurring — between 0 and 1)
6. What is a normal distribution? (Bell-shaped curve — data clusters around mean)
7. Who was Euclid? (Ancient Greek — "Father of Geometry" — wrote Elements)
8. Who was Leonhard Euler? (Swiss mathematician — prolific in graph theory, calculus, and notation)
9. Who was Carl Friedrich Gauss? ("Prince of Mathematics" — fundamental work in number theory)
10. Who was Isaac Newton? (Developed calculus, laws of motion, and universal gravitation)
11. Who co-developed calculus with Newton? (Gottfried Wilhelm Leibniz)
12. Who was Srinivasa Ramanujan? (Indian mathematical genius — self-taught, discovered remarkable formulas)
13. Who was Alan Turing? (Father of computer science — created the Turing machine concept)
14. What is the Monty Hall problem? (Probability puzzle: switching doors gives 2/3 chance of winning a car)
15. What is Pascal's Triangle? (Triangular array of binomial coefficients — named after Blaise Pascal)
16. What is the range of a data set? (The difference between the highest and lowest values)
17. What is a histogram used for? (Displaying the frequency distribution of numerical data)
18. Who developed the laws of probability theory with Pierre de Fermat? (Blaise Pascal)
19. What is a sample in statistics? (A subset of a population used to make inferences about the whole)
20. Who is considered the founder of modern statistics through his work on regression? (Francis Galton, or Karl Pearson for further development)
21. What is variance in statistics? (The average of squared differences from the mean)
22. Who was Ada Lovelace? (Considered the first computer programmer, working with Charles Babbage's Analytical Engine)
23. What is a correlation coefficient used to measure? (The strength and direction of a relationship between two variables)
24. Who was Emmy Noether? (A pioneering mathematician known for contributions to abstract algebra and theoretical physics)
25. What is a percentile in statistics? (A value below which a given percentage of observations fall)
26. What is a Venn diagram used to illustrate? (Relationships and overlaps between different sets)