Mystery Matrix

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Mystery Matrix poster

Have a look at this table square or matrix:

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Mystery Matrix



Can you see how it has been constructed?

Why are some numbers in black and some in red?

Can you explain why the red 6 is in that particular square?

Why is there a 45 in the bottom right-hand corner?

You will notice that the numbers 2 to 9 are used to generate the matrix and only one of these numbers is used twice (the 2).

 

Can you fill in the matrix (table square) below?

The numbers 2 to 12 were used to generate it with, again, just one number used twice.

 

Image
Mystery Matrix

 

You might like to have a go at similar versions of this task using the interactivity below.  

Once you've worked out what each heading must be, drag the purple numbers to the appropriate spaces. When you think you have cracked it, click "Show the solution" to see if you are right.

For an extra challenge, you could try this 6 by 6 version of the grid.

You may like to try Missing Multipliers once you've had a go at this task.

You may be interested in the other problems in our What is the Question? Feature.