Competition 1
Competition 2
Competition 3
Competition 4
100
A truck drives b/6 feet every t seconds. There are 3 feet in a yard. How many yards does the truck move in 3 minutes? (Write your answer in terms of b)
10b / t
100
Orvin went to the store with just enough money to buy 30 balloons. When he arrived, he discovered that the store had a special sale on balloons: buy 1 balloon at the regular price and get a second at 
off the regular price. What is the greatest number of balloons Orvin could buy?
36
100
What is 2^3 + 2^3 all divided by 2^-3 + 2^-3 ?
64
100
Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid $105, Dorothy paid $125, and Sammy paid $175. In order to share costs equally, Tom gave Sammy t dollars, and Dorothy gave Sammy d dollars. What t minus d ?
20
200
Trickster Rabbit agrees with Foolish Fox to double Fox's money every time Fox crosses the bridge by Rabbit's house, as long as Fox pays 
coins in toll to Rabbit after each crossing. The payment is made after the doubling, Fox is excited about his good fortune until he discovers that all his money is gone after crossing the bridge three times. How many coins did Fox have at the beginning?
35
200
The mean, median, and mode of 7 values (60, 100, x, 40, 50, 200, 90) are all equal to x. What is the value of x?
90
200
Tanis looked at her watch and noticed that, at that moment, it was 8x minutes after 7:00 a.m. and 7x minutes before 8:00 a.m. for some value of x. What time was it at that moment?
7:32 AM
200
Line ` is perpendicular to the line with equation y = x − 3. Line ` has the same x-intercept as the line with equation y = x − 3. The y-intercept of line ` is?
3
300
The first part of the Genius Quiz has 30 questions and the second part has 50 questions. Alberto answered exactly 70% of the 30 questions in the first part correctly. He answered exactly 40% of the 50 questions in the second part correctly. The percentage of all of the questions on the quiz that Alberto answered correctly is? (Round to the nearest whole number)
51 percent
300
The faces of each of 7 standard dice are labeled with the integers from 1 to 6. Let 
be the probabilities that when all 7 dice are rolled, the sum of the numbers on the top faces is 10. What other sum occurs with the same probability as p?
39
300
Two years ago Pete was three times as old as his cousin Claire. Two years before that, Pete was four times as old as Claire. In how many years will the ratio of their ages be 2:1 ?
20
300
How many rearrangements of abcd are there in which no two adjacent letters are also adjacent letters in the alphabet? (For example, no such rearrangements could include either ab or ba.)
2
400
If 
, and 
, what is the value of 
?
15
400
How many of the first 2018 numbers in the sequence 
are divisible by 101?
505
400
The sum of two positive numbers is 
times their difference. What is the ratio of the larger number to the smaller number?
3 / 2
400
Chubby Noah makes nonstandard checkerboards that have 31 squares on each side. The checkerboards have a black square in every corner and alternate red and black squares along every row and column. How many black squares are there on such a checkerboard?
481