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TIE BREAKER
100

What is the value of x in the equation 2x+3=11 ?

X = 4

100

What is the sum of the first 20 positive integers?

210

100

A regular hexagon is inscribed in a circle of radius 10. What is the perimeter of the hexagon?

60 units

100

Who is known for his development of the theory of general relativity, which revolutionized our understanding of gravitation?

Albert Einstein

200

Simplify the expression 5x − 3x + 7

2x + 7

200

How many distinct ways can you arrange the letters in the word "MATH"?

24

200

Find the greatest common divisor (GCD) of 210 and 294.

42

200

If the mean of five numbers is 12 and one of the numbers is 18, what is the mean of the remaining four numbers?

10.5

300

In a right triangle, if one angle is 90°, what is the sum of the other two angles?

90°

300

What is the mean of the numbers 4, 8, 10, 12,16, 18 and 20?

12.57

300

The mean of a dataset is 20, and the variance is 9. What is the standard deviation of the dataset?

3

400

What is the largest prime number less than 120?

113

400

What is the derivative of f(x)= x+ 2x− x

f′(x)= 3x2 + 4x − 1

400

Which mathematician is known as the "father of modern calculus" and co-developed calculus independently with Isaac Newton?

Gottfried Wilhelm Leibniz

500

What is the area of a rectangle with length 13 units and width 9 units?

117 square units

500

A jar contains 3 red marbles, 5 blue marbles, and 2 green marbles. If one marble is randomly selected, what is the probability it is blue?

1/2

500

This ancient Greek mathematician is known for his work in geometry, particularly for his contributions to the theory of proportions and his famous work "Elements." Who is he?

Euclid