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Each month, a new set of puzzles will be posted.  Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.

Puzzle One

In a sequence of six numbers, every term after the second term is the sum of the previous two terms. Also, the last term is four times the first term, and the sum of all six terms is 13.  What are the six numbers in the sequence?

Puzzle Two

In a certain triangle the size of each of the angles is a whole number and the angle of one is 30⁰ larger than the average of the other two angles. What is the largest possible size off an angle in this triangle?

Puzzle Three

A two-digit number ‘ab’ is multiplied by its reverse ‘ba’. In its four-digit product, the ones and tens digits are both 0. What is the value of the smallest two-digit number ‘ab’??

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There are more than one way of doing these puzzles and may well be more than one answer.  Please let me and others know what alternatives you find by commenting below.  We also welcome general comments on the subject and any feedback you'd like to give.

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Last month's solutions

Arith-Maze

In the following numeric-maze, go to the ‘START’ box and proceed through the maze, following instructions as provided, until you get to the ‘FINISH’ box. What number did you finish with?

Solution:

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