**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.**

## MIND-Xpander maths problem

In basic algebra, a rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Reduce the following rational expression to its lowest terms (?).

## X-Sums puzzles

The 4 numbers, in italics, outside the 9 circles represent the sum of the numbers in the 5 surrounding circles. The numbers in the circles can only be 1 to 9 and each number can be used only once. Four numbers have been provided to get you started. Find the number (?) that should be in the centre of the X.

## EQUATE+3 puzzle

Each row, column & diagonal is an equation and you use the numbers 1 to 9 to complete the equations. Each number can be used only once. ‘Three’ numbers have been provided to get you started. Find the remaining six numbers that satisfies all the resulting equations. Note – multiplication (x) & division (/) are performed before addition (+) and subtraction (-).

## Feedback

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.

If you have a question that needs a response from me or you would like to contact me privately, please use the contact form.

## Get more puzzles!

**If you've enjoyed doing the puzzles, consider ordering the books; **

**Book One - 150+ of the best puzzles****Book Two - 200+ with new originals and more of your favourites**

**Both in a handy pocket sized format. **** Click here for full details.**

** **