You like to rack your brain over puzzles? 

You will find all you need here!

The ★ are for the elementary school (from 3rd grade).

The number of stars shows the level of difficulty.

Psst! Every puzzle comes from past questionnaires that were part of the AQJM's ''Championnat international de jeux mathématiques et logiques'' (International Championship of Mathematical and Logical Games).

Would you like to participate to the championship? It is free (and in French)! Click here to have more information (http://aqjm.fsg.ulaval.ca/).

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The Museum Attendant ★

In Mathville’s museum, there are four rooms containing different exhibits. On the following illustration, they are delimited by the thick lines. To keep watch on the paintings, the attendant must install an alarm system in each room.

Place the three alarm systems in a way so two are not placed on the same row or the same column of the drawing.

 


Futoshiki ★

In this grid, each square must contain one of the digits 1, 2 or 3. Each digit appears exactly once in each row and each column. The character < means that the digit written in the square immediately on the left is smaller than the digit written in the square immediately on the right.

Complete the grid.


The Alarm Clock ★★

At 8 o’clock, Leo’s alarm clock goes off for the fifth time. At that moment, he thinks: “Fifteen minutes ago, my alarm clock was not ringing, but it had already went off exactly once”.

Knowing his alarm clock is set to go off at regular intervals (of a whole number of minutes), what time was it when Leo’s alarm clock went off for the first time?


The Lottery ★★★

During Mathilda’s and Mathias’ school party, a lottery is organized. A hundred tickets have been printed; forty of them say “valid for a small prize”, one ticket indicates “jackpot” and the others say “loser”.

How many tickets should we buy to be sure to win at least one prize?

 


On The Way To School ★★

When Juliet takes the bus to go to school and walks back, it takes her 60 minutes to go there and back. But, if she takes the bus to go to school and to come back, it only takes her 24 minutes in total.

If she decides to walk to go to school and back, how many minutes will it take?


The Weighings ★★

How many triangles are necessary to counterbalance 12 squares?


Stains That Hide ★★★

Mathias did a calculation, but he stained his exercise book.

All the stains hide the same digit (different from 0).

Which digit is it?

 


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