Tuesday, March 24, 2020

The Funny Calculator

A calculator has these buttons:





Just like a “normal” calculator,  

When you type 1 x 10, it says 10.
When you type 1 + 10, it says 11.

But…

When you type 1 + 1, it says 10.
When you type 10 + 10, it says 100.

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Using this information alone:

How would you count from one to four?  

What would the calculator say if you typed in 100 10 ?
    

Extending the pattern:


 Can you extend the pattern to count up to twenty?

What would the calculator say if you typed in 0.1 + 0.1?

What would the calculator say if you typed in 0.1 x 10 ?

What would the calculator say if you typed in 111 + 111 ?

What would the calculator say if you typed in 111 x 10 ?


For the solution, click HERE.




Saturday, March 21, 2020

Counting triangles!

How many triangles are there in this picture?

It's not so easy.....

Did you say 7?  If so, you're right!

Watch this interactive video to practice organizing your thoughts when you solve counting problems:





Sunday, September 1, 2019

Digital Clock Problem

The clock below uses columns of dots to represent the time, in minutes and hours.  What time does the clock read?



Use the clues below to decode the number system and read the time on the clock above.

Clues:




For the solution, click HERE.


Friday, August 30, 2019

The Stacked Block Problem


Solution:  There are different ways to organize your thinking -- by row or by column.  There are 4 rows with a sum of 1 + 3 + 6 + 10 = 20.  Or 10 columns with a sum of 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 +  3 + 4 = 20.

Thursday, April 11, 2019

Domino Square Puzzle

There are 28 different dominoes in a set.  In the puzzle below, four dominoes from a set are placed in the shape of a square.  This is a "domino square."

We can make a puzzle out of a domino square by trying to arrange it so that we have the same number of "pips" (or dots) along each edge of the square.  It could be any number, it just has to be the same one each side.

Notice that the domino square below almost works -- it has 10 pips along three of the four edges, but the botton edge has only 7 pips.

Can you fix this square by replacing one of the dominoes so that every side has 10 pips?  Remember that the dominoes must all be different.

How many domino squares can you make with a single set of dominoes?





For the solution to this puzzle, click here.