## Brain Teasers

### Heart Shaped Words

On the chart at left, color each square according to the clues below.

· Two positive odd numbers that have a sum of 40 and the largest possible product.

· The smallest square number that is the sum of two non‑zero square numbers.

· The next five numbers in the arithmetic sequence 8, 19, 30, __, __, __, __, __.

· The maximum possible number of givens in a standard 9 × 9 Sudoku grid that does not render a unique solution.

· Two different odd numbers, one of whose digits are the reverse of the other, whose sum is 154.

·
The two prime
numbers whose product is 4 less than 5^{2}.

· In a normal distribution, the percent of values within one standard deviation of the mean.

·
The 43^{rd}
positive even number.

· The first four positive multiples of 4.

· The integer lengths of three sides of a right triangle whose area is 600 square units.

·
The value of the
sum 2^{0} + 2^{1} + 2^{2} + 2^{3}.

·
The value of the
sum 2^{0} + 2^{1} + 2^{2} + 2^{3} + 2^{4}.

*This brainteaser was
written by Patrick Vennebush.*