Math History
This famous Greek thinker has a famous geometry theorem about right triangles named after him.
Pythagoras
Solve for x: 3x + 7 = 22.
5
What is the area of a right triangle with a base of 6cm and a height of 8cm?
24cm2
What is the least common multiple (LCM) of 4 and 6?
12
What is the only even prime number?
2
This brilliant Englishman invented calculus around the same time as Leibniz and is also well known for his discoveries in physics.
Newton
Factor the quadratic expression completely: x^2 - 9x + 20.
(x-4)(x-5)
Find the perimeter of a rectangle with a length of 12cm and a width of 5cm.
34cm
What is the greatest common divisor (GCD) of 36 and 48?
12
What symbol is used to represent the ratio of a circle's circumference to its diameter?
pi
Also known as Leonardo of Pisa, this famous Italian mathematician is best known for discovering a sequence where each number is the sum of the two previous numbers.
Fibonacci
A local smoothie shop sells two types of drinks: Fruit Blast for $4 each and Veggie Power for $6 each. On Saturday, the shop sold a total of $50 smoothies and made $260 in revenue. How many Fruit Blast smoothies did they sell?
20
Find the hypotenuse of a right-angled triangle with leg lengths 9 and 12.
15
Is 91 a prime number or a composite number?
Composite (7 x 13)
How many radians are in a full circle?
2pi
This famous Greek mathematician, and author of The Elements, is known as the “Father of Geometry.”
Euclid
Chantal and Jean start hiking from a trailhead toward a fire tower. Jean is wearing a heavy backpack and walks slower. Chantal starts walking a 4 miles per hour. Halfway to the tower, the trail becomes really steep, and Chantal slows down to 2 miles per hour. After reaching the tower, she immediately turns around and descends the steep part of the trail at 3 miles per hour. She meets Jean at the halfway point. What was Jean's average speed, in miles per hour, until they meet?
amc10a, 2021, problem 6
12/13
What is the area of a triangle with side lengths 10, 10, and 12?
amc10b, problem 7
48
How many 4-digit positive integers (integers between 1000 and 9999, inclusive) having only even digits are divisible by 5?
amc10a, problem 6
100
what is a twelve sided shape called?
dodecagon
This famous mathematician and philosopher developed the Cartesian coordinate system in the 17th-century.
Descartes
what is the sum of all real numbers x such that |x^2 - 12x +34| = 2
amc10a, 2020, problem 5
18
A circular running track has two parallel straightaways connected by two semicircular ends. A high school cross-country runner starts at a point P on the outer edge of the track, runs along the semicircular bend of radius R, and then continues along the straightaway of length L.
If the area bounded inside the entire track's perimeter is equal to the area of a square whose side length is equal to the total distance around the track divided by sqrt{pi + 2}, what is the ratio of the length of one straightaway L to the radius R?
1:1
The integers from 1 to 9, inclusive, can be arranged to form a 3x3 square in which the sum of the numbers in each row, the sum of the numbers in each column, and the sum of the numbers along each of the main diagonals are all the same. What is the value of this common sum?
amc10a, problem 7
15
What is the value of 0! (zero factorial)?
1