Logic
Number Theory
Algebra
Random
Final Jeopardy
100
Luka is making lemonade to sell at a school fundraiser. His recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. He uses 3 cups of lemon juice. How many cups of water does he need?
24
100
A lake contains 250 trout, along with a variety of other fish. When a marine biologist catches and releases a sample of 180 fish from the lake, 30 are identified as trout. Assume that the ratio of trout to the total number of fish is the same in both the sample and the lake. How many fish are there in the lake?
1500
100
How many different ways can 4 students sit in 6 available seats?
360
200
Four friends do yardwork for their neighbors over the weekend, earning $15, $20, $25, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
$15
200
The digits 2,0,2, and 3 are placed in the expression below, one digit per box. What is the maximum possible value of the expression?
9
200
The faces of each of two fair dice are numbered 1, 2, 3, 5, 7, and 8. When the two dice are tossed, what is the probability that their sum will be an even number?
20/36 = 5/9
300
Which of the following is equivalent to "If P is true, then Q is false."?
A) "P is true or Q is false."
B) "If Q is false then P is true."
C) "If P is false then Q is true."
D) "If Q is true then P is false."
E) "If Q is true then P is true."
D
300
Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of 5 cups. What percent of the total capacity of the pitcher did each cup receive?
15%
300
Anna and Bella are celebrating their birthdays together. Five years ago, when Bella turned 6 years old, she received a newborn kitten as a birthday present. Today the sum of the ages of the two children and the kitten is 30 years. How many years older than Bella is Anna?
3
300
When three positive integers a, b, and c are multiplied together, their product is 100 . Suppose a < b < c. In how many ways can the numbers be chosen?
4
400
How many positive integers can fill the blank in the sentence below?
"One positive integer is 
more than twice another, and the sum of the two numbers is 28."
9
400
Harold made a plum pie to take on a picnic. He was able to eat only 1/4 of the pie, and he left the rest for his friends. A moose came by and ate 1/3 of what Harold left behind. After that, a porcupine ate 1/3 of what the moose left behind. How much of the original pie still remained after the porcupine left?
1/3
400
In how many ways can the letters in BEEKEEPER be rearranged so that two or more Es do not appear together?
24
500
Two integers are inserted into the list 3,3,8,11,28 to double its range. The mode and median remain unchanged. What is the maximum possible sum of two additional numbers?
60
500
NASA's Perseverance Rover was launched on July 30, 2020. After traveling 292,526,838 miles, it landed on Mars in Jezero Crater about 6.5 months later. What is the Perseverance Rover's average speed in miles per hour? Round to the nearest ten thousand.
60,000
500
Greta Grasshopper sits on a long line of lily pads in a pond. From any lily pad, Greta can jump 5 pads to the right or 3 pads to the left. What is the fewest number of jumps Greta must make to reach the lily pad located 2023 pads to the right of her starting point?
411
500
A team of students is going to compete against a team of teachers in a trivia contest. The total number of students and teachers is 15. Ash, a cousin of one of the students, wants to join the contest. If Ash plays with the students, the average age on that team will increase from 12 to 14. If Ash plays with the teachers, the average age on that team will decrease from 55 to 52. How old is Ash?
28