List

Being Curious - Statistics

Two's company
problem
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Two's company

Age
11 to 14
Challenge level
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Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Cosy corner
problem
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Cosy corner

Age
11 to 14
Challenge level
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Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Litov's Mean Value Theorem
problem
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Litov's Mean Value Theorem

Age
11 to 14
Challenge level
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Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Which spinners?
problem
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Which spinners?

Age
14 to 18
Challenge level
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Can you work out which spinners were used to generate the frequency charts?
Searching for mean(ing)
problem
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Searching for mean(ing)

Age
11 to 16
Challenge level
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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?
Last one standing
problem
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Last one standing

Age
14 to 16
Challenge level
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Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
Same Number!
problem
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Same Number!

Age
14 to 16
Challenge level
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If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
Mathsland National Lottery
problem
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Mathsland National Lottery

Age
14 to 16
Challenge level
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Can you work out the probability of winning the Mathsland National Lottery?
Who's the best?
problem
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Who's the best?

Age
11 to 14
Challenge level
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Which countries have the most naturally athletic populations?
Non-Transitive Dice
problem
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Non-Transitive Dice

Age
11 to 14
Challenge level
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Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?
Odds and Evens made fair
problem
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Odds and Evens made fair

Age
14 to 16
Challenge level
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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.
Estimating time
problem
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Estimating time

Age
11 to 14
Challenge level
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How well can you estimate 10 seconds? Investigate with our timing tool.
Wipeout
problem
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Wipeout

Age
11 to 16
Challenge level
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Can you do a little mathematical detective work to figure out which number has been wiped out?
Unequal Averages
problem
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Unequal Averages

Age
11 to 14
Challenge level
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Play around with sets of five numbers and see what you can discover about different types of average...