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A hollow cylinder is completely filled with frozen water.
Will it take longer to roll down an inclined plane while it’s frozen, or after it melts?
Assume: When frozen, the water does not move relative to the cylinder.
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What is the fewest number of colors needed such that no two adjacent vertices are colored the same?
Note: In graph theory, two vertices are adjacent if they share an edge.
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±1±2±3±⋯±2017±2018=?
Using appropriate + and - signs on the left side of the equation, which number can be obtained on the right?
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Triangle ABC is inscribed in a circle. The angle ABC is obtuse, and the altitude CH is tangent to the circle.
If HB=10 and BA=8, what is the radius of the circle?
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Tom was born on a Thursday in either 2014, 2015, 2016, or 2017. What is the oldest age Tom can turn on his next Thursday birthday?
Hint: Consider the remainder when the number of days in a year (365) is divided by the number of days in a week (7). But don't forget about leap years!
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