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Have You Got It?

Can you explain the strategy for winning this game with any target?

Counting Factors

Is there an efficient way to work out how many factors a large number has?

Is There a Theorem?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

Summing Consecutive Numbers

Age 11 to 14
Challenge Level
Start by trying some simple cases; perhaps start by exploring what happens when you add two or three consecutive numbers.


$1 + 2 + 3 = 6$

$2 + 3 + 4 = 9$

Can you explain why the total has gone up by $3$?