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Basic Mathematics Warmups

These problems and puzzles will put your deductive reasoning ability to the test and reinforce your mathematical skills. See more

Level 1

         

When I was two years old, my sister was half my age. If I am now sixty years old, how old is my sister?

By tracing the edges, we can calculate that the perimeter of figure 1 is 4 units, and the perimeter of figure 2 is 12 units. What is the perimeter of figure 3?

Given that \(a,\) \(b,\) and \(c\) are positive reals such that \(a+b+c=6\), find the maximum possible value of \(abc\).

A triangle, a square, a hexagon, an octagon, and a circle all have the same perimeter. Which one has the smallest area?

Note: All of the polygons are regular.

True or False?

If \(x\) and \(y\) are real numbers such that \( \sqrt{x} = \sqrt{y} \), then

\[ x = y. \]

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