 
Being curious
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 problemThese pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape. problemThese pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
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 problem problemArchimedes numerical rootsHow did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots? 
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 problem problemThe add and take-away pathTwo children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own? 
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 problem problemMathsland national lotteryCan you work out the probability of winning the Mathsland National Lottery? 
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 problem problemSitting round the party tablesSweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions. 
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 problem problemSame number!If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number? 
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 problem problemLast one standingImagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row? 
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 problem problemCurious numberCan you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on? 
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 problem problemYour number was...Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know? 
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