Academic Team 2022-2023

Mental Math

100

What is the sum of all whole numbers from 1 to 100?

What is 5050?

200

Out of every 500 toys, only 99.8% of the toys work. If you and 999,999 other people bought toys, what is the probability that the toy you got is effective? Write your answer in simplest form.

What is 499/500?

300

Jack wanted to paint his bedroom. His room's dimensions were 10 feet by 10 feet by 10 feet. He wanted to paint the walls blue and the ceiling white. In total, he would need 4 quarts of blue paint and one quart of white paint to paint his room. One paint can has one gallon of paint in it. If one can of blue paint is worth $2.99 and one can of white paint is worth $1.49, how much money would he need to spend to paint his room?

What is $4.48?

400

I am standing in a line. The number of people in front of me is 2 times the people behind me to the power of 0.4. The number of people, including me, in the line, is 21. From the back of the line, which person in line am I?

What is the seventeenth?

500

Jimmy owned a garden that was 250 square feet in area. Jimmy loved rose bushes. He wanted to plant as many rose bushes as he could within his garden. The dimensions of his garden were 10 feet by 25 feet. Each bush takes up 1 square foot and needs to be at least 3 square feet away from other bushes. What is the maximum number of bushes that can be planted within the boundaries of Jimmy's garden?

What is 21 rose bushes?

Scientific Formulas

100

mxa

What is the formula for Force?

200

m/V

What is the formula for Density?

300

mxc²

What is the formula for Energy?

400

d/t

What is the formula for Speed?

500

Fxd

What is the formula for Work?

Mathematical Formulas

100

2πr

What is the formula for the circumference of a circle?

200

(9c/5) + 32

What is the formula for the conversion of Celsius to Fahrenheit?

300

4(πr³)/3

What is the formula for the volume of a sphere?

400

πr² + πrl or πr(r+l)

What is the formula for the surface area of a cone?

500

Opposite/Hypotenuse

What is the formula for sine?

Periodic Table Elements

100

N

What is Nitrogen?

200

K

What is Potassium?

300

Mg

What is Magnesium?

400

Hg

What is Mercury?

500

Ge

What is Germanium?

U.S Bill of Rights

100

Freedom of religion, speech, press, and expression.

What is the first amendment?

200

The right to bear arms.

What is the second amendment?

300

The right to remain silent.

What is the fifth amendment?

400

No cruel or unusual punishments.

What is the eighth amendment?

500

The police need a search warrant to search your belongings.

What is the fourth amendment?