Algebra
What is 2*(-3-5)/4+19?
15
How many positive perfect squares are less than 67?
What is the area of a rectangle with base 17 and height 7?
119
How many ways can Eric, Kyle, and Lishan line up for a Mathcounts photo if Eric doesn't want to be in the middle?
4
Eric, Lishan, Kyle, and their siblings are in a room. Each person will only shake hands with someone shorter than them. How many handshakes occur?
0
The sum of the ages of two mathcounters is 27, and the difference in their ages is 3. What is the product of their ages?
180
What is the least integer N such that N! is divisible by 100?
10
A paper shaped like a circle with radius 8 has a circle with radius 3 cut out from the inside of it so that the remaining portion looks like a donut. What is the remaining area of the paper?
55pi
Kyle's drawer has 8 art textbooks, 3 language textbooks, and 5 music text books. What is the probability of him randomly drawing an art textbook then language textbook without replacement?
1/10
An orchestra consisting of 20 mathcounters play a piece in 5 minutes. How long does it take 54 mathcounters to play the same piece?
5 minutes
How many integers x are there such that |x|<2*pi?
13
How many numbers less than 67 have a remainder of 6 or 1 when divided by 7?
19
The point (6,7) on the coordinate plane is rotated 180 degrees around (0,0), flipped across the x-axis, and translated left by 67 units. What is the point's new position?
(-73, 7)
How many ways can two mathcounters be chosen for a brawl stars 1v1? (Assume there are 15 mathcounters)
105
How many primes are there between 67 and 167 inclusive?
21
If 8 mathcounters solve 16 problems in 3 minutes, how many mathcounters will it take to solve 24 problems in 2 minutes?
18
The product of three integers is 12. What is the least possible positive sum of the three integers?
Eric has a special ice cream cone of radius 10 inches and height 15 inches. Kyle's special ice cream scooper will scoop spherical scoops of radius 3 inches. What is the largest integer of fully melted ice scream scoops that would fit into Eric's cone?
13
A survey for 9th graders was held at Lubbock High asking if people preferred Brawl Stars or Clash Royale. 54 of them said they liked Clash Royale, 16 liked both, and 91 liked none. If 200 9th graders answered the survey, how many liked Brawl Stars?
71
Eric has a massive, deformable ball with a radius of 7 furlongs. Kyle then takes the ball and mushes it into a cube using his superhuman strength. What is the side length of the cube, in yards? Assume pi is 6.
3080
The average of Kyle's 9 grades in Academic Decathlon is currently 100. What is the lowest integer grade Kyle can get on the upcoming test to still have an average of 100 (rounded to the nearest integer)?
95
How many 3 digit numbers exist so that a) it's divisible by three and b) when you flip its digits, it's divisible by 5?
33
Triangle ABC has sides 13, 14, 15. A circle is inscribed such that it's tangent to all three sides. What is the radius of this circle?
4
Lishan likes numbers which contain 67, but does not like numbers which contain 76 (even if they contain 67). For example, Lishan likes 6701, but doesn't like 6470 or 9767. How many 4 digit numbers do Lishan like?
242
Make 24 using 2, 5, 5, and 10 exactly once, using only parentheses and the operations +, −, × and ÷.
(5 - (2 / 10)) * 5