interest meet #1

arithmetic/calculation

100

The value of 

8 + 5 × 7 − 2 × 3²

25

200

What is the last digit of 9^99?

9

300

What is the value of (16(8(4^1/2))^1/2)^1/2?

8

400

log₃24-log₃8

1

500

(11!-10!)/9!

100

algebra

100

Amy is half the age of Bob today. In 12 years, she will be 3/4 of his age. What is her current age?

6 years old

200

The value of x+y+z if:

x + y = 3

y + z = 7

z + x = 6

8

300

How many different real numbers x satisfy the equation:

(x²-5)²=16

4

400

1+2+3+...+n = 5050. What is n?

100

500

What are the solutions to:

3x^3 −16x^2 + 23x − 6 = 0

 

x={3, 2, 1/3}

geometry

100

What is the area of the smallest square that will contain a circle of radius 4?

64

200

In right triangle ABC, the angles A and B are 45 degrees. If BC = 3 cm, what is the length of the hypotenuse in cm?

3sqrt2

300

In rectangle ABCD, both diagonals are drawn and intersect at point E. Let the measure of angle AEB equal x degrees. Let the measure of angle BEC equal y degrees. Let the measure of angle CED equal z degrees. Find the measure of angle AED in terms of x, y, and/or z.

y

400

What is the sum of the interior angles in a pentagon? (In degrees)

540

500

Triangle ABC is inscribed in a circle with points A and B directly opposite of each other forming a side on the diameter.

if one angle equals 2x, and another angle equals 3x. solve for x.

x=18

calculus

100

Derivative of

x(3x²−9)

9x²-9

200

Indefinite integral of cosx-3x²

sinx-x³+C

300

Indefinite integral of tanx

-ln|cosx|+C

400

Given f(x) = 1/x. Find f⁽¹⁰⁰⁾(x).

100!/x¹⁰⁰

500

Definite integral of 1/(1+x^2) with bounds from 0 to 1.

pi/4

stats and combinatorics

100

A mathematics competition uses the following scoring procedure to discourage guessing (like AMC) on the multiple choice questions. For each correct response, its 7 points. For each unanswered question, its 2 points. For each incorrect response, its 0 points. If there's 5 choices for each question, what is the minimum number of choices the student needs to eliminate before it is better to guess among the reset.

2

200

If there's 6 blue marbles, 3 green marbles, 10 yellow marbles, 5 red marbles, and 4 purple marbles, what are the chances of pulling 1 blue marble, then another blue marble, then a green marble, then a red marble OR pulling 1 green marble, then 1 yellow marble, then 1 red marble?

1/117 OR .0085

300

The time for Sanjay to get to Chik Fil A is normally distributed with a mean of 15 minutes and a standard deviation of 3 minutes. If he leaves for work at 5:00pm, what is the probability he will arrive later than 5:10pm.

CALCULATOR ALLOWED

.9522

400

Based on a survey of a random 900 adults, a journalist reports 60% of adults are in favor of increasing minimum hourly wage. If the reported percent has a margin of 2.7%, what is closest to the confidence level?

CALCULATOR ALLOWED

90.0%

500

How many ways can a student schedule 3 mathematics courses -- algebra, geometry, and number theory -- in a 6-period day if no two mathematics courses can be taken in consecutive periods? (What courses the student takes during the other 3 periods is of no concern here.)

24