Geometry
In a right triangle with legs 6 and 8, what is the length of the hypotenuse?
10
Find the mean of the numbers: 3, 7, 9, 15, 18.
10,4
A farmer has 17 sheep. All but 9 run away. How many are left?
9
Who is known as the “father of geometry” and founded the study of this branch of mathematics?
Euclid
What is the formula for the area of a circle with radius r?
S=pi*r2
The mean of three numbers is 10. Two of them are 8 and 14. Find the third number.
8
You have one match and enter a dark room with a candle, lamp, and stove. What do you light first?
The match
The Pythagorean theorem applies to which geometric figure?
Right triangle
A frustum of a cone is obtained by subtracting which two solids?
the difference between two cones
In a group of 10 students, the average score is 70. If the lowest score is removed, the average becomes 72. What was the lowest score?
50
If 5 machines make 5 toys in 5 minutes, how long will 100 machines take to make 100 toys?
5 minutes
Who was the first to introduce the term algebra and wrote influential works in mathematics during the Islamic Golden Age?
Al-Khwarizmi
If a triangle has sides a = 7, b = 8, c = 9, what is the semiperimeter needed for Heron’s formula?
12
Find the remainder when 73 +52 is divided by 6.
1
A bat and a ball cost $1.10. The bat costs $1 more than the ball. How much is the ball?
$0.05
Who is the famous scientist and mathematician who wrote Principia Mathematica?
Isaac Newton
In a regular hexagon with side length a, what is the formula for its area?
(3√3 / 2) * a²
Find the standard deviation of the numbers: 2, 4, 6, 8, 10.
2,83
What 3 positive numbers give the same result when multiplied and added?
1,2 and 3
The word algebra originated from which language?
Arabic