The 15 quiz questions
Question 1 : What is the approximate value of Pi (π)?
Possible answers:
- 1,41421...
- 1,61803...
- 2,71828...
- 3,14159...
Explanation: Pi (π) is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159... It is an irrational number.
Question 2 : What do you call a number divisible only by 1 and itself?
Possible answers:
- Nombre premier
- Nombre entier
- Nombre parfait
- Composite number
Explanation: A prime number is only divisible by 1 and itself. The first prime numbers are 2, 3, 5, 7, 11, 13...
Question 3 : Which Greek mathematician is famous for his theorem about right triangles?
Possible answers:
- Archimède
- Thalès
- Pythagore
- Euclide
Explanation: Pythagoras (6th century BC) proved that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
Question 4 : What is the factorial of 5 (5!)?
Possible answers:
- 25
- 60
- 100
- 120
Explanation: 5! = 5 × 4 × 3 × 2 × 1 = 120. The factorial of a number is the product of all positive integers less than or equal to that number.
Question 5 : What is the golden ratio, approximately equal to 1.618, called?
Possible answers:
- Epsilon (ε)
- Sigma (σ)
- Phi (φ)
- Delta (δ)
Explanation: The golden ratio (φ or phi) ≈ 1.618 appears in nature, art, and architecture. It is related to the Fibonacci sequence.
Question 6 : In the Fibonacci sequence, what number follows 8?
Possible answers:
- 11
- 13
- 15
- 16
Explanation: The Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21... Each term is the sum of the two preceding ones. After 8 comes 5+8=13.
Question 7 : What does the symbol ∞ represent in mathematics?
Possible answers:
- Pi
- Somme
- Zéro
- Infini
Explanation: The symbol ∞ (lemniscate) represents infinity, introduced by John Wallis in 1655. It symbolizes a quantity without limit.
Question 8 : What is the result of 2 to the power of 10 (2¹⁰)?
Possible answers:
- 512
- 1000
- 1024
- 2048
Explanation: 2¹⁰ = 1024. This is an important number in computing because computers work in base 2 (binary).
Question 9 : Which mathematician invented calculus at the same time as Leibniz?
Possible answers:
- Euler
- Newton
- Fermat
- Gauss
Explanation: Isaac Newton and Gottfried Leibniz developed calculus independently in the 17th century, creating a famous controversy.
Question 10 : How many faces does a regular dodecahedron have?
Possible answers:
- 6
- 8
- 12
- 20
Explanation: A regular dodecahedron has 12 pentagonal faces. It is one of the five Platonic solids.
Question 11 : What do you call a number that equals the sum of its proper divisors (example: 6 = 1+2+3)?
Possible answers:
- Nombre parfait
- Nombre amical
- Nombre premier
- Composite number
Explanation: A perfect number equals the sum of its proper divisors. The first ones are 6, 28, 496, 8128. They are related to Mersenne primes.
Question 12 : What is the square root of 196?
Possible answers:
- 12
- 13
- 14
- 15
Explanation: 196 = 14 × 14. It's a perfect square. Tip: decompose into 14 × 14 or remember the squares of integers from 1 to 20.
Question 13 : Which theorem states that there are infinitely many prime numbers?
Possible answers:
- Théorème de Riemann
- Théorème d'Euclide
- Théorème de Gauss
- Théorème de Fermat
Explanation: Euclid proved around 300 BC that there are infinitely many prime numbers. His proof by contradiction remains a classic in mathematics.
Question 14 : In geometry, how many degrees is the sum of angles in a triangle?
Possible answers:
- 90°
- 180°
- 270°
- 360°
Explanation: The sum of angles in a triangle in Euclidean geometry is always equal to 180°, regardless of the triangle's shape.
Question 15 : What is Euler's number (e), the base of natural logarithms?
Possible answers:
- 1,41421...
- 1,61803...
- 2,71828...
- 3,14159...
Explanation: Euler's number e ≈ 2.71828 is the base of natural logarithms. It is a fundamental constant in analysis, related to exponential growth.
