# The Mathlete’s Challenge: 20 Questions on Mathematical Concepts

## Question 1

What is the value of π (pi) to two decimal places?

- A) 3.14
- B) 2.71
- C) 1.62

## Question 2

What is the name of a polygon with eight sides?

- A) Hexagon
- B) Octagon
- C) Decagon

## Question 3

What is the square root of 144?

- A) 10
- B) 12
- C) 14

## Question 4

Which of the following is a prime number?

- A) 21
- B) 29
- C) 35

## Question 5

What is the result of the expression 2^3?

- A) 6
- B) 8
- C) 9

## Question 6

What is the derivative of the function f(x) = x^2?

- A) 2x
- B) x
- C) 2x^2

## Question 7

What is the common ratio in the geometric sequence 3, 6, 12, 24…?

- A) 2
- B) 3
- C) 4

## Question 8

What is the sum of the angles in a triangle?

- A) 180 degrees
- B) 360 degrees
- C) 90 degrees

## Question 9

What is the next number in the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, …?

- A) 11
- B) 13
- C) 15

## Question 10

What is the greatest common divisor (GCD) of 48 and 64?

- A) 16
- B) 32
- C) 8

## Question 11

What is the area of a circle with a radius of 4 units?

- A) 16π square units
- B) 32π square units
- C) 64π square units

## Question 12

What is the value of the expression 5! (5 factorial)?

- A) 120
- B) 60
- C) 24

## Question 13

What is the slope of the line represented by the equation y = 2x + 3?

- A) 2
- B) 3
- C) -2

## Question 14

What is the name of the theorem that states the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right triangle?

- A) Pythagorean Theorem
- B) Fermat’s Last Theorem
- C) Euclid’s Theorem

## Question 15

What is the probability of rolling a total of 7 with two six-sided dice?

- A) 1/6
- B) 1/12
- C) 1/18

## Question 16

What is the logarithm base 10 of 1000?

- A) 2
- B) 3
- C) 4

## Question 17

What is the inverse function of f(x) = 3x + 2?

- A) f^-1(x) = (x – 2) / 3
- B) f^-1(x) = (x + 2) / 3
- C) f^-1(x) = 3x – 2

## Question 18

What is the sum of the first 100 positive integers?

- A) 4950
- B) 5000
- C) 5050

## Question 19

What is the standard form of the quadratic equation?

- A) ax^2 + bx + c = 0
- B) ax^3 + bx^2 + cx + d = 0
- C) ax + by = c

## Question 20

What is the name of the sequence where each term is the sum of the two preceding ones?

- A) Arithmetic sequence
- B) Geometric sequence
- C) Fibonacci sequence