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

### Answer:

### Explanation:

π (pi) is approximately equal to 3.14. It's a mathematical constant representing the ratio of a circle's circumference to its diameter.

## 2. What is the square root of 144?

### Answer:

### Explanation:

The square root of 144 is 12, since 12 times 12 equals 144.

## 3. What is the formula for the area of a triangle?

### Answer:

### Explanation:

The area of a triangle is given by 1/2 base × height, where the base is the length of one side and the height is the perpendicular distance from that side to the opposite vertex.

## 4. Which mathematical symbol represents the factorial function?

### Answer:

### Explanation:

The factorial function is represented by an exclamation mark (!). For example, 5! (5 factorial) is 5 × 4 × 3 × 2 × 1.

## 5. What do you call a polygon with five sides?

### Answer:

### Explanation:

A pentagon is a five-sided polygon. The name comes from the Greek words 'pente' meaning five and 'gonia' meaning angle.

## 6. Who is known as the father of geometry?

### Answer:

### Explanation:

Euclid, an ancient Greek mathematician, is often referred to as the "father of geometry" for his foundational work in the field.

## 7. What is the value of the mathematical constant 'e' approximately?

### Answer:

### Explanation:

The mathematical constant 'e' is approximately equal to 2.71. It's the base of the natural logarithms and is used in calculus.

## 8. How many degrees are in a right angle?

### Answer:

### Explanation:

A right angle is an angle of exactly 90 degrees.

## 9. What is the sum of the interior angles of a triangle?

### Answer:

### Explanation:

The sum of the interior angles of a triangle is always 180 degrees.

## 10. What is the name for a number that can be divided evenly only by 1 and itself?

### Answer:

### Explanation:

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

## 11. What is the value of an angle in a regular hexagon?

### Answer:

### Explanation:

In a regular hexagon, each internal angle is 120 degrees. This is because a hexagon can be divided into four triangles, each with angles summing to 180 degrees, totaling 720 degrees for the hexagon. Dividing 720 by 6 (the number of angles) gives 120 degrees per angle.

## 12. How many sides does a dodecagon have?

### Answer:

### Explanation:

A dodecagon is a twelve-sided polygon. 'Dodeca' is derived from Greek, meaning 'twelve'.

## 13. What is the formula to find the circumference of a circle?

### Answer:

### Explanation:

The circumference of a circle is calculated using the formula 2πr, where r is the radius of the circle.

## 14. What is a polygon with all sides and angles equal called?

### Answer:

### Explanation:

A regular polygon is a polygon where all sides and all angles are equal.

## 15. What does the term 'integral' refer to in calculus?

### Answer:

### Explanation:

In calculus, an integral is a fundamental concept that gives the area under the curve of a function.

## 16. Who formulated the famous theorem a² + b² = c² in a right triangle?

### Answer:

### Explanation:

The Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, was formulated by Pythagoras.

## 17. What do you call the bottom number in a fraction?

### Answer:

### Explanation:

In a fraction, the bottom number is called the denominator. It shows into how many parts the whole is divided.

## 18. What is the sum of the angles in an octagon?

### Answer:

### Explanation:

The sum of the internal angles of an octagon (an eight-sided polygon) is 1080 degrees.

## 19. What is a number that contains both a real and an imaginary part called?

### Answer:

### Explanation:

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit.

## 20. What is the decimal equivalent of the fraction 1/4?

### Answer:

### Explanation:

The decimal equivalent of the fraction 1/4 is 0.25.

## 21. What is the mathematical term for a change in position, direction, or state?

### Answer:

### Explanation:

In mathematics, a transformation refers to the operation of changing a figure's position, direction, or state, such as translation, rotation, or scaling.

## 22. Which branch of mathematics deals with the properties and relationships of points, lines, angles, and surfaces?

### Answer:

### Explanation:

Geometry is the branch of mathematics concerned with the properties and relations of points, lines, angles, surfaces, and solids.

## 23. What is the next prime number after 7?

### Answer:

### Explanation:

The next prime number after 7 is 11, as it is only divisible by 1 and itself.

## 24. What is the value of 'x' in the equation 2x – 4 = 10?

### Answer:

### Explanation:

Solving the equation 2x – 4 = 10, we add 4 to both sides to get 2x = 14, then divide by 2 to find x = 7.

## 25. What do you call a triangle with two equal sides?

### Answer:

### Explanation:

An isosceles triangle is a triangle that has two sides of equal length.

## 26. What is the base number in the binary system?

### Answer:

### Explanation:

The base number in the binary system is 2, which consists of only two digits: 0 and 1.

## 27. In probability, what is the sum of the probabilities of all possible outcomes?

### Answer:

### Explanation:

In probability, the sum of the probabilities of all possible outcomes in an event is always 1.

## 28. How is a three-dimensional shape with six square faces described?

### Answer:

### Explanation:

A cube is a three-dimensional shape with six square faces, all of equal size.

## 29. What is the common difference in the arithmetic sequence 3, 7, 11, 15?

### Answer:

### Explanation:

The common difference in the arithmetic sequence is 4, as each term is 4 more than the previous one.

## 30. In set theory, what is a collection of distinct elements often called?

### Answer:

### Explanation:

In set theory, a set is a well-defined collection of distinct objects, considered as an object in its own right.

## 31. What is the term for the longest side of a right triangle?

### Answer:

### Explanation:

In a right triangle, the hypotenuse is the longest side, opposite the right angle.

## 32. What is the value of pi to three decimal places?

### Answer:

### Explanation:

The value of pi (π) to three decimal places is approximately 3.141.

## 33. What is the sum of the angles in a quadrilateral?

### Answer:

### Explanation:

The sum of the interior angles of a quadrilateral is always 360 degrees.

## 34. Which number represents the imaginary unit in complex numbers?

### Answer:

### Explanation:

The imaginary unit is represented by 'i' in complex numbers and is defined as the square root of -1.

## 35. In statistics, what is the average value of a set of numbers called?

### Answer:

### Explanation:

The mean is the average value of a set of numbers, calculated by adding up all the numbers and then dividing by the count of numbers.

## 36. What do you call a polygon with eight sides?

### Answer:

### Explanation:

An octagon is a polygon with eight sides.

## 37. What is a number that has no fractional or decimal part called?

### Answer:

### Explanation:

An integer is a number that has no fractional or decimal part, and it can be positive, negative, or zero.

## 38. What is the perimeter of a square with a side length of 5 units?

### Answer:

### Explanation:

The perimeter of a square is calculated by adding the lengths of all four sides. For a square with a side length of 5 units, the perimeter is 4 × 5 = 20 units.

## 39. In geometry, what is a line that touches a circle at exactly one point called?

### Answer:

### Explanation:

A tangent to a circle is a straight line that touches the circle at exactly one point, without crossing it.

## 40. What mathematical concept is used to calculate the likelihood of events?

### Answer:

### Explanation:

Probability is the branch of mathematics that deals with the likelihood of events occurring.

## 41. What is the smallest prime number?

### Answer:

### Explanation:

The smallest prime number is 2. It's the only even prime number because all other even numbers can be divided by 2.

## 42. In mathematics, what is an angle greater than 180 degrees but less than 360 degrees called?

### Answer:

### Explanation:

A reflex angle is an angle that measures more than 180 degrees and less than 360 degrees.

## 43. What do you call a number that can be expressed as a ratio of two integers?

### Answer:

### Explanation:

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero.

## 44. What is the total number of dots on a pair of standard six-sided dice?

### Answer:

### Explanation:

A standard six-sided die has 1 + 2 + 3 + 4 + 5 + 6 = 21 dots. Therefore, a pair of such dice would have 21 × 2 = 42 dots in total.

## 45. What is a polygon with all sides and all angles equal called?

### Answer:

### Explanation:

A regular polygon is a polygon in which all sides are of equal length and all angles are of equal measure.

## 46. In a Cartesian plane, what is the horizontal axis typically called?

### Answer:

### Explanation:

In a Cartesian coordinate system, the horizontal axis is usually called the x-axis.

## 47. Who introduced the concept of zero as a number?

### Answer:

### Explanation:

The concept of zero as a number was first recorded in India. The Indian mathematician Brahmagupta wrote about the idea in the 7th century.

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

### Answer:

### Explanation:

In the Fibonacci sequence, the next number is found by adding up the two numbers before it. So, 3 + 5 = 8.

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

### Answer:

### Explanation:

The area of a circle is calculated as πr². For a radius of 4 units, the area is π × 4² = π × 16 ≈ 50.24 square units.

## 50. What do you call a solid with a polygonal base and triangular faces that meet at a point?

### Answer:

### Explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex, with triangular faces.