Prob/Stats
Number Theory
Mixed Bag
Algebra
100
Lelah is decorating her bedroom with posters of her four favorite sports teams. She has one poster of each team and wants to put one poster on each of her four walls. In how many ways can Lelah arrange the four posters?
24
100
What is the difference between the greatest and the least prime factors of 220?
9
100
What is the value of 1/8 of 1/2 of 2/3 of 96?
4
100
Let a = 1, b = 3, c = 4 and x = −2. What is the value of ax2 + bx + c?
2
200
A jar contains 2000 jelly beans. The probability of reaching in and randomly pulling out a red jelly bean is 3/5. The probability of pulling out a blue jelly bean is 1/8. How many jelly beans are neither red nor blue?
550
200
When the first 10 prime numbers are multiplied together, how many zeros follow the rightmost nonzero digit?
1
200
35
200
The product of an integer n and 8 is 5 greater than the sum of n and 30. What is the value of n?
5
300
A game spinner is divided into five equal sections that earn a player 1, 5, 10, 25, and 50 points. What is the expected number of points Edgar will earn in his first spin of this spinner? Express your answer as a decimal to the nearest tenth.
18.2
300
Which digit must N represent in the three-digit number 72N if the number is divisible by both 3 and 4?
0
300
The enrollment at Central Middle School increased by 25%, to 920 students, in 2022. What was the enrollment before the increase?
736
300
The numbers a, b, and c satisfy the equations 3a – 5b + 6c = 11 and 2a + 10b – c = 19. What is the value of a + b + c?
6