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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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