Trial and Error!
Read this topicExplanations 4
- "Guess and check" You've probably heard this many times. You may have thought, "Why should I bother guessing-and-checking when I know how to solve it more efficiently?" That's a…
By Freya Edholm, Po-Shen Loh, Joshua Siktar, Aryan Gupta, Moor Xu, Benten Taing
- He moves 10 meters in a straight line to reach a point on a circle with a 10 meter radius an his starting point as the center. He then travels around the circle until he reaches…
By Vic, Ishwar Karthik
- Trial and error is one of the most approved way of solving a problem with a bit or no knowledge. But perhaps for difficult answer, you cannot just try out the answer for infinit…
By Wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww, Moor Xu
- Here's a semi-math related puzzle! Rules: Start on the tile SSS. You move either left, right, up, or down the number of spaces that are listed on the tile. Since you start on SS…
By Alex Federspiel, Jonathan Heller, Caroline K
Problems 20
- Al told Bob that he was thinking of 201120112011 distinct positive integers. He also told Bob the sum of those 201120112011 distinct positive integers. From this information, Bo…
- At most how many regions in the plane do 333 lines create? (Alternative formulation: Using only 333 vertical cuts, how many pieces can you slice a circular pie into?)
- At most how many regions in the plane do 444 lines create? (Alternative formulation: Using only 444 vertical cuts, how many pieces can you slice a circular pie into?)
- At most how many regions in the plane do 555 lines create? (Alternative formulation: Using only 555 vertical cuts, how many pieces can you slice a circular pie into?)
- Say that an integer AAA is yummy if there exist several consecutive integers (including AAA) that add up to 201420142014. What is the smallest yummy integer? (Hint: AAA need not…
- Say that an integer n≥2n \ge 2n≥2 is delicious if there exist nnn positive integers adding up to 201420142014 that have distinct remainders when divided by nnn. What is the smal…
- There are NNN students in a class. Each possible nonempty group of students selected a positive integer. All of these integers are distinct and add up to 201420142014. Compute t…
- The admission fee for an exhibition is 25\2525 per adult and 12\1212 per child. Last Tuesday, the exhibition collected 1950\19501950 in admission fees from at least one adult an…
- Let x=4/253x = \sqrt[3]{4/25}x=34/25. There is a unique value of yyy such that 0<y<x0 < y < x0<y<x and xx=yyx^x = y^yxx=yy. What is the value of y3y^3y3? (Hint: Let k∈(0,1)k\in…
- Let xxx be a real number such that the five numbers cos(2πx)\cos(2 \pi x)cos(2πx), cos(4πx)\cos(4 \pi x)cos(4πx), cos(8πx)\cos(8 \pi x)cos(8πx), cos(16πx)\cos(16 \pi x)cos(1…
- Lynnelle took 101010 tests in her math class at Stanford. Her score on each test was an integer from 000 through 100100100. She noticed that, for every four consecutive tests, h…
- If mmm and nnn are integers such that 3m+4n=1003m + 4n = 1003m+4n=100, what is the smallest possible value of ∣m−n∣\left| m - n \right|∣m−n∣? Source: Math Prize for Girls
- Within each camp, everyone coordinates to vote the same way. If everyone behaves perfectly strategically to ensure that the best candidate wins the election, who will be elected…
- You have a 2 x 3 rectangular chocolate bar, that you want to eat one square at a time. What is the fewest amount of splittings you would need to break the bar completely into it…
- You've just bought the last 5 tickets for a raffle that has 2 baskets, each with a 100 gift card for the same store. One basket already has 24 tickets in it and the other alread…
- In the snail park, there are two sets of four parallel paths, where the lines that are not parallel intersect each other at right angles. You want to place a snail at one endpoi…
- You know that wheels need to be round, right? You decide that you want to challenge that assumption and create a bike with square wheels. In order for you to have a successful, …
- Suppose that you go first and picked 7, your opponent picked 5, you then picked 4, and your opponent then picked 3. What is the next number that you should pick?
- Suppose that over 10 years, exactly half of the days are good and exactly half of the days are bad (but not necessarily arranged in any particular order). What is the maximum nu…
- The American Music Awards are a regular fan favorite since the fans get to vote for the artists they want to win. This year Ariana Grande won Artist of the Year, which isn't sur…