This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 61

2003 JHMMC 8, 11
Tags: JHMMC , visualization
If a certain number is doubled and the result is increased by $11$, the final number is $23$. What is the original number?

2003 JHMMC 8, 22
Tags: JHMMC , absolute value
Given that $|3-a| = 2$, compute the sum of all possible values of $a$.

2003 JHMMC 8, 26
Tags: JHMMC
Given that $5^3+5^3 + 5^3 + 5^3 + 5^3 = 5^J$ and $3^2 + 3^2 + 3^2 = 3^N$ , what is the value of $J^ N$ ?

2014 JHMMC 7 Contest, 6
Tags: bashing ratios , Bash Ratios , JHMC , JHMMC , ratio
Alex the Kat has written $61$ problems for a math contest, and there are a total of $187$ problems submitted. How many more problems does he need to write (and submit) before he has written half of the total problems?

2014 JHMMC 7 Contest, 7
Tags: Quick NT , JHMMC
How many digits could possibly be the last digit of a perfect square?

2014 JHMMC 7 Contest, 12
Tags: exams , JHMMC
Lev scores $91, 89, 88, 94, 87, 85$ on his first $6$ tests. After having his final exam, he (correctly) states that the average of all $7$ of his test scores is equal to his final exam score. What was Lev’s final exam score?

2003 JHMMC 8, 13
Tags: JHMMC
A problem author for a math competition was looking through a tentative exam when he realized that he could not use one of his proposed problems. Frustrated, he decided to take a nap instead, and slept from $10:47\text{ AM}$ to $7:32\text{ PM}$. For how many minutes did he sleep?

2014 JHMMC 7 Contest, 13
Tags: JHMMC , function
Define $x\star y$ to be $x^y+y^x$.Compute $2\star (2\star 2)$.

2014 JHMMC 7 Contest, 20
Tags: JHMMC
The side length of a cube is increased by $20\%$. The surface area of the cube then increases by $x\%$ and the volume of the cube increases by $y\%$. Find $5(y -x)$.

2003 JHMMC 8, 9
Tags: JHMMC
Compute the product of the integers from $-5$ to $5$, inclusive.

2014 JHMMC 7 Contest, 11
Tags: averages , JHMMC , arithmetic mean
What number is exactly halfway between $\frac 1 6$ and $\frac 1 4$?