Select Page

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 the following equations, the value of each of the playing cards (clubs, diamonds, spades, and hearts) will make each equation true. The value of the cards can only be 1 to 10. Find their values.

## Puzzle two

In the following numeric series: 8, 20, 64, 260, ?. What would be the next number (5th) in the series?

## Puzzle three

The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the tin in pounds?

## 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.

## Puzzle One

In the following numeric series:  4, 8, 7, 5, 1, ?, ?, ?; what would be the next three terms (6th, 7th, and 8th ) in the series?

Solution:  4, 8, 7, 5,1, 2, 4, 8

Using the powers of ‘ 2 ‘ plus continually summing their digits until you get a single digit.
2^2 = 4
2^3 = 8
2^4 = 16, 1+ 6 = 7
2^5 = 32, 3+2 = 5
2^6 = 64, 6+4 = 10, 1+0 = 1
6th term: 2^7 = 128, 1+2+8 = 11, 1+1 = 2
7th term: 2^8 = 256, 2+5+6 = 13, 1+3 = 4
Finally, 8th term: 2^9 = 512, 5+1+2 = 8

## Puzzle Two

A bag contains 1 dollar, 50 cents and 25 cents coins in the ratio 3 : 5 : 7. The total amount is \$1,856. How do you find the number of each denomination?

Solution: 768, 1280 and 1792

Given: Total coins = 3 + 5 + 7 = 15 and total amount = \$1,856

Let x = total number of coins
Then, (3x/15 * 1.00) + (5x/15 * 0.50) + (7x/15 * 0.25) = 1856
3.00x + 2.50x + 1.75x = 1856 * 15
7.25x = 27840
x = 3840

Therefore,
3/15 * 3840 = 768 = number of dollar coins
5/15 * 3840 = 1280 = number of 50 cent coins
7/15 * 3840 = 1792 = number of 25 cent coins
To check the results: 768 * 1.00 = 768.00, 1280 * 0.50 = 640.00 and 1792 * 0.25 = 448.00
Therefore,

\$768 + \$640 + \$448 = \$1,856.00

## Puzzle Three

Replace each letter with a number (i.e. 1 to 9) to make the following equations true.

1. a) CHECK + THE = TIRES,  (Given: E = 4)
2. b) NO + NOT + THAT = AGAIN

Solution:

## Puzzle Four

In these puzzles, each row, column and diagonal is an equation. Use the numbers 1 to 9 to complete the equations and each number can be used only once. ‘One’ number has been provided to get you started. Find the remaining eight numbers that satisfies all the resulting equations. Note: As in normal algebraic operation, multiplication (x) and division (/) are performed before addition (+) and subtraction (-).