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### Number and algebra

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### Working mathematically

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### Advanced mathematics

# Interactive Spinners

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Age 11 to 14

Challenge Level

*Interactive Spinners printable sheet*

We have two spinners each numbered $1$ to $4$.

We're going to spin them both and add the numbers.

What possible totals might you get?

What is the least likely/most likely total to occur?

Can you summarise your ideas clearly? Can you justify them?

Use the interactivity to test these hypotheses.

Now make a new set of spinners, and write down a hypothesis about the possible outcomes and the shape of the relative frequency bar chart. Justify your ideas to a friend, before testing them with the interactivity.

Once you have experimented with the interactivity you might like to try this problem: Which Spinners?

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?