Gee-I'm-A-Tree!
Algebra with Albert
The *Circle* of Life
Probability in the Wild
100

What is the interior angle of a regular octagon? Express your answer in degrees.

135 degrees

100

If Albert spends an average of $1.35 per apple, and he buys 17 apples, how much money has he spent on apples?

$22.95

100

How many tangent lines can be drawn from a point on the exterior of a circle to that circle? 

2 tangent lines

100

Shawn is late to work with a 2/5 probability, with each day being independent of all others. What is the probability that he will be late to work three days in a row?

8/125

200

What is the area of an equilateral triangle with side length 10?

25sqrt(3)

200

Albert is filling out his college applications when the admissions committee notices something weird: Albert does nothing but math, soccer, work at an ice cream store, attend school, and sleep. He claims to spend 35 hours/week doing math, 30 hours/week at soccer, and 40 hours/week at work. Assuming he attends school for 60 hours/week, how many hours of sleep does Albert get, on average? Express your answer as a common fraction.

3/7 of an hour?!?!?!?!!

(And let this be a lesson to never lie on your college apps)

200

What is the diameter of a circle that has the same perimeter and area?

4

200

A bowl has two bananas and four apples in it. Harry picks a piece of fruit at random and then ZAYN picks a piece of fruit at random.

What is the probability that both Harry and ZAYN pick an apple?

2/5

300

A certain three dimensional object has 32 edges and 16 faces. How many vertices will this object have?

18 vertices

300

Albert is now going facing jailtime. He must do 150 hours of community service in six months. How many minutes of community service will he be doing each day, on average? Assume each month has 30 days.

50 minutes

300

What is the length of the greatest chord of a circle with area 324pi?

36

300

Rachel has 9 balls in a bag. 4 of the balls are blue, and the other 5 are red. Rachel picks one ball out, notes the color down, and replaces it. She then picks out a second ball. What is the probability that the second ball is the same color as the first one?

41/81

400

What is the area of an object with vertices on the cartesian plane at:

A (1, 0)

B (3, 2)

C (5, 0)

D (3, 5)

6

400

Albert is trying to solve this quadratic equation, and failing. Help him out: what are the solutionS to the following equation:

0 = x2 + 15x - 76

x= -19, 4

400

Find the center and radius of the circle described by the equation:

x2 - 4x + y2 - 8y = 44

Radius: 8

Center: (2, 4)

400

We know that a leap year has 366 days. Find the probability of a leap year having 53 Sundays?


2/7

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