Geometry
Algebra 2
Pre-Calculus
Calculus
WACKY BONUS QUESTIONS
100
The number of common tangents that can be drawn for two externally tangent circles is?
3
100
A parabola has vertex (-3,22) and passes through points (1,-10) and (-7,-10). Find and equation for this parabola.
y = -2x2 - 12x + 4
100
In triangle ABC, angle A has a measure of 30°. If BC has a length of 10m, and angle B has a measure of 45°, what is the length of side AC?
AC = 10 rad 2
100
Find the volume of the solid generated when the region bounded by y = x2 and y = 4x - x2 is revolved around the line x = 3.
32/3 pi
100
What species is the fastest shark ever recorded?
What is the Shortfin mako shark
200
Geometry Figure #3
x = 7
200
Write the equation of the ellipse that has foci at (0,3) and (0,-3) and the sum of the focal radii is 8.
x2/7 + y2/16 = 1
200
Calculate the values of Θ of 2 sin3Θ − 5 sin2 Θ + 2 sin Θ = 0 in the range 0 ≤ Θ ≤ 2π.
pi, 2pi, 5pi/6, pi/6
200
Find the area of the region bounded by y = ex, x = -1, x = 1, and y = -1
e + 2 - 1/e
200
Who discovered Pythagorean Theorem?
Pythagoras
300
Geometry Figure #4
9
300
Algebra 2 Figure #1
9
300
Batman leaves his house on his Batmobile toward Gandalf's cave. He drives 200 miles north and then takes a 60° turn to the east. He drives 250 more miles and reaches Gandalf's cave. How far does Batman live from Gandalf's cave?
450 miles.
300
Find the area in the first quadrant between the curves y = x and y = sin(pi x/2)
2/pi - 1/2
300
What season did the Spongebob episode "Christmas Who?" come out in? (Double for the episode)
Season 2 Episode 8
400
Geometry Figure #5
76°
400
Algebra 2 Figure #2
No Solution
400
If 8 tan Θ = 3 sin Θ find the value of sin Θ.
sin Θ = 1/3
400
Calculus Figure #3
Answer too complicated to type
400
What movie famously ended in "a cop-out"?
Monty python and the holy grail
500
Geometry Figure #6
4
500
The parabolas y = ax2 - 2 and y = 4 - bx2 intersect the coordinate axes in exactly four points, and these four points are the vertices of a kite of area 12. What is a + b?
1.5
500
What is the exact value of (cos 7.5°)2
(4 + rad 6 + rad 2)/8
500
Find the derivative of xx
xx*(ln x + 1)
500
What is Mrs. Allison's favorite color?
"Mrs. Allison to confirm"