Maths Quiz Questions & Answers 2026 — 100 Q&A

Mathematics in Quiz Competition

Math questions in quizzes test logical thinking, number sense, and knowledge of famous theorems and constants. Even if you're not a mathematician, knowing key facts and formulas gives you a huge edge.

Famous Mathematical Constants

• π (Pi) = 3.14159265... — Ratio of circle's circumference to diameter.
• e (Euler's number) = 2.71828... — Base of natural logarithm.
• φ (Golden ratio) = 1.61803... — Found in nature, art, and architecture.
• √2 = 1.41421... — Diagonal of a unit square; first known irrational number.
• 0 — Invented independently in India and Mesoamerica; revolutionary concept in mathematics.

Number Types You Must Know

• 🔢 Prime numbers: Divisible only by 1 and themselves (2, 3, 5, 7, 11, 13...).
• 🔢 Perfect numbers: Equal to sum of their divisors (6 = 1+2+3; 28 = 1+2+4+7+14).
• 🔢 Fibonacci sequence: Each number is sum of previous two (1, 1, 2, 3, 5, 8, 13, 21...).
• 🔢 Irrational numbers: Cannot be expressed as a fraction (π, e, √2).
• 🔢 Imaginary numbers: Square root of negative numbers; i = √(-1).

Famous Mathematicians

• 🏛️ Euclid (~300 BCE) — Father of geometry; wrote "Elements".
• 🍎 Isaac Newton (1643–1727) — Co-invented calculus; laws of motion and gravity.
• 📐 Pythagoras (~570–495 BCE) — Pythagorean theorem; music and numbers.
• 🔢 Carl Friedrich Gauss (1777–1855) — "Prince of Mathematics"; number theory.
• 💡 Leonhard Euler (1707–1783) — Most prolific mathematician; Euler's identity e^(iπ)+1=0.
• ♾️ Georg Cantor (1845–1918) — Founder of set theory; discovered multiple infinities.

Geometry Fundamentals

• Triangle interior angles sum to 180°.
• Quadrilateral interior angles sum to 360°.
• Circle area = πr²; circumference = 2πr.
• Volume of a sphere = (4/3)πr³.
• A right angle is exactly 90°; an obtuse angle is between 90° and 180°.

100 Math Quiz Questions

Arithmetic & Number Theory (25 Questions)

1. What is 15% of 200? (30)
2. What is the square root of 144? (12)
3. What is the next prime number after 7? (11)
4. What is 2 to the power of 10? (1,024)
5. What are the first 5 Fibonacci numbers? (1, 1, 2, 3, 5)
6. What is the Roman numeral for 50? (L)
7. What is 1,000,000 in scientific notation? (1 × 10⁶)
8. What is the sum of the first 10 natural numbers? (55)
9. What is 7 factorial (7!)? (5,040)
10. What is the smallest prime number? (2)
11. What is 25% expressed as a fraction? (1/4)
12. What is the cube root of 27? (3)
13. What is the LCM of 4 and 6? (12)
14. What is the GCD (HCF) of 18 and 24? (6)
15. What is 0.75 as a fraction? (3/4)
16. What is the value of 9²? (81)
17. What is the Roman numeral for 100? (C)
18. What is the sum of angles in any triangle in radians? (π radians)
19. What is 12 divided by 0.5? (24)
20. What is the value of |-15|? (15)
21. What type of number can't be written as a simple fraction? (Irrational number)
22. What is the next number in the sequence 2, 4, 8, 16? (32)
23. What is 10% of 850? (85)
24. What is the binary representation of the decimal number 5? (101)
25. What is the value of 6 × 7? (42)

Algebra (25 Questions)

1. What is the value of x in 2x + 4 = 10? (x = 3)
2. What is the quadratic formula? (x = (-b ± √(b²-4ac)) / 2a)
3. What is (x+2)(x+3) expanded? (x² + 5x + 6)
4. What is the value of x² when x = 5? (25)
5. What is the slope-intercept form of a line? (y = mx + b)
6. What is 3x - 7 = 8 solved for x? (x = 5)
7. What is a polynomial with one term called? (Monomial)
8. What is the value of x if 5x = 45? (x = 9)
9. What does "FOIL" stand for in algebra? (First, Outer, Inner, Last — a method for multiplying binomials)
10. What is the simplified form of 4x + 3x? (7x)
11. What is the inverse operation of addition? (Subtraction)
12. What is the value of y in y/4 = 12? (y = 48)
13. What is a variable? (A symbol, often a letter, representing an unknown value)
14. What is the degree of the polynomial 3x³ + 2x - 1? (3)
15. What is the result of squaring a negative number? (A positive number)
16. What is the value of x if x² = 49? (x = 7 or x = -7)
17. What is a linear equation? (An equation whose graph forms a straight line)
18. What is the coefficient in the term 7y? (7)
19. What is the simplified form of (x²)³? (x⁶)
20. What is the value of 2(x+3) when x=4? (14)
21. What is a system of equations? (Two or more equations with the same variables solved together)
22. What is the y-intercept of y = 3x + 5? (5)
23. What is the value of x in x/3 + 2 = 7? (x = 15)
24. What is the absolute value equation |x| = 4 solved for x? (x = 4 or x = -4)
25. What is the term for an equation that is true for all values of the variable? (An identity)

Geometry (25 Questions)

1. How many sides does a hexagon have? (6)
2. What is the area of a circle with radius 5? (78.54 or 25π)
3. What angle is supplementary to 70°? (110°)
4. What is the sum of interior angles in a triangle? (180°)
5. What is the sum of interior angles in a quadrilateral? (360°)
6. What is the formula for the area of a rectangle? (Length × width)
7. What is the formula for the circumference of a circle? (2πr)
8. What is the formula for the volume of a sphere? ((4/3)πr³)
9. What is a right angle in degrees? (90°)
10. What is the hypotenuse in a right triangle? (The longest side, opposite the right angle)
11. What is the Pythagorean theorem? (a² + b² = c²)
12. What is the area of a triangle formula? ((1/2) × base × height)
13. How many degrees are in a full circle? (360°)
14. What shape has 5 sides? (Pentagon)
15. What shape has 8 sides? (Octagon)
16. What is the formula for the volume of a cube? (Side³)
17. What is the perimeter of a square with side 6? (24)
18. What type of triangle has all equal sides? (Equilateral triangle)
19. What is the diameter if the radius of a circle is 7? (14)
20. What is a polygon with all equal sides and angles called? (A regular polygon)
21. What is the formula for the area of a trapezoid? ((1/2) × (b1+b2) × height)
22. What type of angle measures more than 90° but less than 180°? (Obtuse angle)
23. What is the term for two lines that never meet? (Parallel lines)
24. What is the term for lines that meet at a 90° angle? (Perpendicular lines)
25. What is the surface area formula for a cube with side length s? (6s²)

Statistics, Constants & Mixed (25 Questions)

1. What is the value of Pi (π) to two decimal places? (3.14)
2. What is the mean of 2, 4, 6, 8, 10? (6)
3. What is the median of 3, 7, 9, 12, 15? (9)
4. What is the mode of 2, 3, 3, 5, 7? (3)
5. What is the value of Euler's number (e), approximately? (2.718)
6. What is the range of the data set 4, 9, 15, 22? (18)
7. What is the term for the likelihood of an event occurring? (Probability)
8. What is the probability of flipping heads on a fair coin? (1/2 or 50%)
9. What is the value of the golden ratio (φ), approximately? (1.618)
10. Who is credited with inventing calculus along with Newton? (Gottfried Wilhelm Leibniz)
11. What ancient mathematician is known as the "Father of Geometry"? (Euclid)
12. What is the probability of rolling a 6 on a standard die? (1/6)
13. What is a number sequence where each term is the sum of the two before it called? (Fibonacci sequence)
14. What is the term for numbers that can only be divided evenly by 1 and themselves? (Prime numbers)
15. What branch of math deals with rates of change? (Calculus)
16. What is the term for a number that cannot be expressed as a fraction? (Irrational number)
17. What mathematician developed set theory? (Georg Cantor)
18. What is the imaginary unit "i" defined as? (The square root of -1)
19. What is a perfect number, using 6 as an example? (A number equal to the sum of its divisors: 1+2+3=6)
20. What is the term for organizing data visually, e.g. with bars? (A bar chart/graph)
21. What is standard deviation used to measure? (The spread or dispersion of a data set)
22. What is the value of 100 factorial's last digit always? (0)
23. What was Carl Friedrich Gauss known as? ("Prince of Mathematics")
24. What is the term for a graph showing data as proportional slices of a circle? (A pie chart)
25. What is Euler's identity? (e^(iπ) + 1 = 0)