This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?
Can you find which shapes you need to put into the grid to make the
totals at the end of each row and the bottom of each column?
What happens when you add the digits of a number then multiply the
result by 2 and you keep doing this? You could try for different
numbers and different rules.
If you are a teacher click here for a version of the problem suitable for classroom use, together with supporting materials. Otherwise, read on ...
On my calculator I divided one whole number by another whole number and got the answer $3.125$.
I know that both numbers were less than $50$, but can't remember what they were.
Can you work out what they were?
Once you've had a chance to think about it, click below to see how four different pupils began working on the task.
Here is Gemma and Flo's work:
Richard wrote the following:
"I multiplied $3.125$ by $1$, then I tried multiplying $3.125$ by $2$, then I multiplied $3.125$ by $3$ ..."
Here is the start of Thomas' work:
Can you take each of these starting ideas and develop it into a solution?
Click here for a poster of this problem.