Geometric Shapes and Solids
This polygon has 5 vertices.
What is a pentagon?
This natural number is neither prime nor composite.
What is 1?
This trigonometric ratio is defined as the opposite side-length divided by the hypotenuse.
What is the sine ratio?
What is the prime factorization of 54?
2times3^3
a^2+b^2=c^2 is known as the...
Pythagorean Theorem
This 3 sided polygon has 3 interior angles, each one measuring 60o.
What is an equilateral triangle?
This number cannot be expressed as a ratio of integers.
What is an irrational number?
sin(30o)=
1/2
Expand:
(2x+3)(x-4)
2x^2-5x-12
This mathematician invented calculus.
Who is Sir Isaac Newton?
The lateral surface area of a cone is given by...
pirs
This irrational number is given by taking the circumference and dividing it by the diameter.
What is
pi?
This trigonometric ratio cannot be evaluated at 90o.
What is the tangent ratio?
Factor:
2x^2+7x+3
(x+3)(2x+1)
This mathematician was executed for proving that the square root of 2 is irrational.
Who is Hippasus?
378 cm3
111times111=12321 is known as a...
palindrome
The upward angle that is made between the base and the hypotenuse.
What is the angle of inclination?
Expand:
(x+y)^3
x^3+3x^2y+3xy^2+y^3
This famous mathematician pioneered Game Theory, but also suffered from mental illness, once proclaiming to be the Emperor of Antarctica.
Who is John Nash?
What is the volume of a sphere?
V=4/3pir^3
This number is "Golden."
What is the Golden Ratio?
(1+sqrt5)/2
For a 3,4,5 triangle, what is the largest trigonometric ratio?
The tangent ratio.
tantheta=4/3
Factor:
162v^4-2w^4
2(3v-w)(3v+w)(9v^2+w^2)
This ancient Greek mathematician proved that the Earth was round and measured the Earth's radius.
Who is Eratosthenes?