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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

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Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

Magic Vs

Age 7 to 11
Challenge Level

Place each of the numbers $1$ to $5$ in the V shape below so that the two arms of the V have the same total.

How many different possibilities are there?
What do you notice about all the solutions you find?

Can you explain what you see?

Can you convince someone that you have all the solutions?

What happens if we use the numbers from $2$ to $6$? From $12$ to $16$? From $37$ to $41$? From $103$ to $107$?

What can you discover about a V that has arms of length $4$ using the numbers $1-7$?

Click here for a poster of this problem.