David's basics
Logic Puzzles
History/facts of Mathletes
Random Concepts
100

Evaluate Log510 (hint: use calculators)

1.43

100

Ethan's mother has four children. Three are named Patrick, Spencer, and Michael. Name of the fourth child?

What is Ethan?

100

Who is our Secretary and Treasurer?

Angel and Valerie

100

Degree of 9x7-x4+11x10

what is tenth degree?

200

What is e?

2.71

200

There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. Total amount of ducks?

What is three?

200

When's the next competition?

This Thursday 

200

What's the volume of a sphere with a radius of 4?

268.08

300

A) Divide: 9x3/5x
B) Multiply: (9x3)(5x)

A) 1.8x2

B) 45x4
300

A football player runs half the field (at 50m), and then half the remaining distance (at 75m), and then half the remaining distance (at 87.5m), and continues to do so until he reaches the end. How many times will it take him to get to the end of the field?

What is infinite?

300

A math competition that you can take in high school to qualify for the AIME and eventually national/international competitions

What is the AMC?

300

3 Triangles each have a variable for each of their angles. 1 variable is removed from each triangle. What is the sum of angles of all the variables now?

360 degrees

400

Given the equations 5x+2y=10 and 18x-2y=3, what do x and y equal?

x=0.565, y=3.587

400

If five cats can catch five mice in five minutes, how long will it take one cat to catch one mouse? 

What is five minutes?

400

Give the host at least THREE names of other schools (not Valley) in Sacramento that have a Mathletes club (when this question is flipped, please take time to read and get familiar with all the schools shown)

Sheldon, Laguna, West Campus, Florin, Franklin, Cosumnes Oaks, Rio Americano, Jesuit, Pleasant Grove, etc.

400

What's synthetic division and when can it only be used? 

A method for dividing a polynomial by a divisor and it's much simpler and faster than long division; condition/requirement: divisor must have a degree of 1

500

Find the largest prime divisor of (87!+88!) 

Once this problem is started, the club only gets 6 minutes to solve it

hint: it's the largest prime number that divides (87!+88!)

89

500

There are three opaque boxes. One with 8 apples in it, another with 14 oranges and in the third a mixture of the two. They are all labeled incorrectly. What's the minimum amount of times you need to take out fruit to figure out which box is which?

What is one?

500

When was Valley Mathletes founded (month and year) (bonus 150 points if they say why)?

February 2024 - WOW it's been 8 months

500

Derive any 2 binomials from the quadratic formula; then, once somebody is done, reward them 100 points (even if answer looks wrong) and start a club discussion with members on how zeros/x-intercepts are found via these 2 binomials. Make sure EVERYBODY present understands this

check with seniors and juniors; one solution out of many is: (ax+c)(x+1) where ax+cx=bx