Four Go

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Four Go printable sheet

Draw a number line on a piece of paper, marked from $0$ to $20$, like this:

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Four Go

(You could print off this sheet of number lines.)

This challenge is a game for two players. The first player chooses two numbers in this grid and either multiplies or divides them.

 

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Four Go

They then mark the answer to the calculation on the number line. The second player then chooses two numbers and either $\times$ or $\div$, and marks that number in a different colour on the number line.

If the answer is too big or too small to be marked on the number line, the player misses a go.

The winner is the player to get four marks in a row with none of their opponent's marks in between.

What good ways do you have of winning the game?

Does it matter if you go first or second?

[This game is adapted from a SMILE Centre card.]