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## MIND-Xpander maths problem

What ‘interesting’ value do you get when you sum together the square of the first seven prime numbers

## Alphametic puzzles

*Alphametic* puzzles (sometimes known as Cryptarithms or Verbal Arithmetic)*, *are puzzles where words or phrases are put together in an arithmetic formula such that numbers can be substituted for the letters to make the formula true. Find the numeric equivalent for each of the following *alphametic* expressions. Each letter is unique with values between 0 & 9 and there may be more than one answer.

- CHECK + THE = TIRES
- NO + NOT + THAT = AGAIN

## EQUATE+1 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. ‘One’ numbers have been provided to get you started. Find the remaining eight 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.

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### Last month's solutions

## MIND-Xpander Maths Problem

If N is a whole number and the following limits apply: 2N > 30 and 5N < 100, what values for N are possible?

**Solution:**

- Lower limit: Where 2N > 30 or N > 15, then N must be ‘greater than’ 15.
- Upper limit: Where 5N < 100 or N < 20, then N must be ‘less than’ 20.

Therefore, the possible values for N between the lower & upper limits would be 16, 17, 18 & 19.

## Petite CIRCLE-Sums Puzzles

The number within the 4 sectors of the outer circle is equal to the sum of the three numbers in its sector. The numbers in the individual circles can only be 1 to 9 and each number can be used only once. One number has been provided to get you started. Find the remaining 4 numbers. Note: There may be more than one solution.

**Solutions:**

## EQUATE+2 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. ‘Two’ numbers have been provided to get you started. Find the remaining seven numbers that satisfies all the resulting equations. Note – multiplication (x) & division (/) are performed before addition (+) and subtraction (-).

**Solution:**

Mr. Burgin,

These puzzles are just THE BEST! So very fun and challenging. I love trying to figure them out each month (with the goal of successfully completing them before my kids do for the bragging rights).

Keep ’em coming…..

Kim Barber

You kept me up way beyond my bedtime! Not fair! But not ‘Sad’!

I am a maths teacher from India and I love your puzzles and sometimes I share them with my students and challenge them to it. Your puzzles are doable and therefore enjoyable to everybody . Always looking forward to it. Thank you