Algebra
Counting and Probability
Number Theory
Geometry
Ethan and Lucas
100

A store increases the price of a $40 item by 20%. What is the new price?

What is $48?

100

A bag contains 3 red marbles, 2 blue marbles, and 1 green marble. If one marble is chosen at random, what is the probability that it is blue?

What is 1/3?

100

What is the smallest positive integer that is divisible by 6, 8, and 15?

What is 120?

100

The angles of a triangle are in the ratio 2:3:4.

What is the measure of the largest angle?

What is 80 degrees?

100

What is Ethan's favorite color?

What is blue?

200

The sum of three consecutive integers is 72. What is the largest of the three integers?

What is 25?
200

A standard six-sided die is rolled. What is the probability of rolling a number greater than 4?

What is 1/3?

200

What is the greatest common factor of 52 and 39?

What is 13?

200

The length of a rectangle is 3 more than twice its width. If the width is w, which expression represents the perimeter of the rectangle?

What is 6w + 6?

200

What instrument can Lucas play?

What is the piano?

300

A number is multiplied by 5, then 3 is added. The result is 28. What is the number?

What is 5?

300

Ethan has 3 shirts, 2 pairs of pants, and 4 pairs of socks. How many different outfits can he make?

What is 24 outfits?

300

What is the least common multiple of 44 and 66?

What is 132?

300

What is the area of a circle with a diameter of 10?

What is 25pi?

300

How many years did Ethan participate in Mathcounts?

What is 2 years?

400

The first three terms of a pattern are 4, 7, 10...

What is the 10th term?

What is 31?

400

A coin is flipped three times. What is the probability of getting exactly two heads?

What is 3/8?

400

Prime Factorize 96

What is 2^5 x 3?

400

A rectangular prism has dimensions 3, 4, and 8. What is its total surface area?

What is 136?

400

What school district did Lucas go to before Westtown?

What is Garnet Valley School District?

500

What is the slope of the line 2x + 3y = 8?

What is -2/3?

500

How many different two-digit numbers can be made using the digits 1-9 if no digit can be repeated?

What is 72?

500

What is the units digit of 3^12?

What is 1?

500

What is the volume formula of a sphere?

What is 4/3 x pi x r^3?

500

What class did Lucas teach at DCCS last year?

What is science club?

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