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

## 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?

## Puzzle Three

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

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

## 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 (-).

## 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

## Puzzle One

Ronald, Tony, Fiona, Paula and John have their birthdays on consecutive days, all between Monday and Friday.

- Tony’s birthday is as many days before Paula’s as Fiona’s is after Ronald’s.
- John is older than Fiona.
- Paula’s birthday is on Thursday.

Can you figure out whose birthday is on each day?

**Solution:**

Monday – John, Tuesday – Tony, Wednesday – Ronald, Thursday – Paula, Friday – Fiona

## Puzzle Two

Four playing cards, one of each suit (spades, clubs, hearts, & diamonds) face down on a table. They are a three, a four, a five, and a six.

- The cards on either side of the four are black.
- The club is to the right of the three but not next to it.
- The spade is to the left of the heart.
- The middle two cards add up to an even number. Neither of them is a club.

Can you determine the cards’ suits and their order?

**Solution:**

From left to right: 3 of diamonds, 6 of spades, 4 of hearts, and 5 of clubs.

## Puzzle Three

You’ve been invited to a party at Charlie’s house, but you’ve never been there. He has seven friends who live nearby. They’ve given you the following map showing all of their houses including Charlie’s house, along with the following information:

- Daniel: I can’t see Benita’s house, because Greta’s house is in the way.
- Adam: I live directly (not diagonally) across the street from Daniel.
- Benita: Elena lives due west of me.
- Elena: I have to cross three streets to walk to Franco’s house.
- Hal: I live east of Benita.

Can you figure out who lives where, and also which house is Charlie’s?

**Solution:**

On the the map, the friends / neighbours live in the following houses with respect to Charlie’s house:

A – Elena, B – Benita, C – Hal, D – Greta, E – Charlie, F – Daniel, G – Adam, H – Franco