1. Zero is the only number that cannot be represented in Roman numerals.

2.The square root of 2 is an irrational number, meaning its decimal expansion goes on forever without repeating.

3.Every prime number greater than 3 can be written in the form 6n ± 1.

4.The sum of the angles in any triangle always adds up to 180 degrees.

5.The sum of the first n odd numbers is n².

6.The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on.

7.The Pythagorean theorem states that in a right 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 other two sides.

8.There are infinitely many prime numbers.

9.A googol is the number 1 followed by 100 zeros.

10.The sum of any two even numbers is even, and the sum of any two odd numbers is even.

11.There are 360 degrees in a circle.

12.The area of a circle is pi times the radius squared.

13.The sum of the first n numbers is (n(n+1))/2.

14.The number e, also known as Euler's number, is a mathematical constant that represents the base of the natural logarithm. Its approximate value is 2.71828.

15.The golden ratio is a mathematical concept in which the ratio of two quantities is the same as the ratio of their sum to the larger of the two quantities. It is often represented by the Greek letter phi (φ), which is approximately equal to 1.618.

16.The complex numbers are a set of numbers that include real numbers and imaginary numbers, which are represented by the square root of -1, denoted by i.

17.A polygon with n sides has n(n-3)/2 diagonals.

18.The derivative of a function represents the rate of change of the function with respect to its variable.

19.The formula for the volume of a sphere is (4/3)πr³, where r is the radius.

20.The decimal expansion of pi goes on forever and has no repeating pattern.

1.What is the value of x in the equation 2x + 5 = 11?

a) 2

b) 3

c) 4

d) 5

2.What is the value of y in the equation y + 4 = 2(y - 3)?

a) 10

b) -2

c) 3

d) -7

3.What is the value of (2x² - 3x + 1) + (x² + 2x - 5)?

a) 2x² - x - 4

b) 3x² - x - 4

c) 3x² - x + 4

d) 2x² - x + 4

4.What is the slope of the line passing through the points (3, 5) and (7, 9)?

a) 1/2

b) 2

c) 4

d) undefined

5.What is the value of the expression 3x² - 4x + 1 when x = 2?

a) 1

b) 5

c) 9

d) 11

6.What is the area of a triangle with base 8 cm and height 6 cm?

a) 16 cm²

b) 24 cm²

c) 30 cm²

d) 36 cm²

7.What is the value of log₄(16)?

a) 2

b) 3/2

c) 1/2

d) 1

8.What is the value of 3 + 4 - 5?

a) 2

b) 3

c) 4

d) 5