Mu Alpha Theta 8/25

Geometry

100

What is the formula for the area of a circle?

πr² or πd

200

In triangle ABC, angle a = 50^° and angle b = 75°. What is angle c?

55°

300

Surface area of a 20cm x 20cm x 20cm cube?

2400cm²

400

What is the distance between (4,7) and (2,2)?

29^1/2

500

What is the center of a circle with the formula:

x² + y² + 18x + 14y + 105

(-9,-7 )

Algebra I

100

Evaluate 25x when x = 4

100

200

Solve for g when 7g + 23 = 72

7

300

What is the expanded form of (x-1)²

x²-2x+1

400

What is the slope of the line through the points ( -1, 8) and (3, -4)?

-3

500

Let a and b be rational numbers. Is a +b rational or irrational?

Rational

Algebra II

100

Simplify ± √-25

±5i

200

What is the least common multiple of 3 and 10?

30

300

Convert the angle θ = 9/5π radians to degrees

324^°

400

Abbie and Jen were asked to find an explicit formula for the sequence 4,12,36,108...

Abbie said the formula is f(x) = 4 * 3ⁿ

Jen said the formula is f(x) = 4 * 4^n-1

Who is right?

Neither Abbie nor Jen

500

What are the values of

cos(315^°) =

sin(315^°) =

-√2/2

√2/2

Pre-Calculus

100

Vector u = (-7,12)

Vector w = (3,6)

What is vector u + vector w?

(-4,18)

200

What is the principal value of cos^-1(0.69) in degrees?

46.4^°

300

What is (25 + 19i) / 5 - 3i?

(Make sure to have your answer in simplified form.)

    

2 + 5i

400

Write an addition or subtraction formula for sin(π/12).

sin(3π)cos(4π)−cos(3π)sin(4π)

500

(x-5)²         (y-7)²

^{–––––     +      –––––    = 1}

   ^{3                     6}

What are the foci of this ellipse?

(5,7, ±√3)

Statistics

100

What is the mode of the following numbers?

7 , 3 , 9 , 2 , 1 , 6 , 4 , 3 

3

200

If you flip a fair coin, what is the probability of landing on tails?

1/2

300

You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you have 5 friends who want to come along.

How many different groups of friends can you take with you?

10

400

You've decided you want a plant for your room. At the gardening store, there are 4 different kinds of plants (tulip, fern, cactus, and ficus) and 4 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).

If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

1/16

500

Heather has a coin that has a 60% chance of showing heads each time it is flipped. She is going to flip the coin 5 times.

What is the probability of landing on heads 3 times?

(Round to the nearest hundredth)

0.35