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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# Being Curious - Statistics

### Two's Company

### Cosy Corner

### Litov's Mean Value Theorem

### Which Spinners?

### Searching for Mean(ing)

### Last One Standing

### Same Number!

### Mathsland National Lottery

### Who's the Best?

### Non-transitive Dice

### Odds and Evens Made Fair

### Estimating Time

### Wipeout

### Unequal Averages

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Age 11 to 14

Challenge Level

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Age 11 to 14

Challenge Level

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Age 11 to 14

Challenge Level

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

Age 14 to 18

Challenge Level

Can you work out which spinners were used to generate the frequency charts?

Age 11 to 16

Challenge Level

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

Age 14 to 16

Challenge Level

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

Age 14 to 16

Challenge Level

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

Age 14 to 16

Challenge Level

Can you work out the probability of winning the Mathsland National Lottery?

Age 11 to 14

Challenge Level

Which countries have the most naturally athletic populations?

Age 11 to 14

Challenge Level

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

Age 14 to 16

Challenge Level

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

Age 11 to 14

Challenge Level

How well can you estimate 10 seconds? Investigate with our timing tool.

Age 11 to 16

Challenge Level

Can you do a little mathematical detective work to figure out which number has been wiped out?

Age 11 to 14

Challenge Level

Play around with sets of five numbers and see what you can discover about different types of average...