
Conjecturing and generalising
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problem
Stars
Can you work out what step size to take to ensure you visit all the dots on the circle? -
problem
Square it
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
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problem
Hundred square
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
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problem
Can it be?
When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators? -
problem
Lots of lollies
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
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problem
Share bears
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over? -
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problem
The bridges of Konigsberg
Investigate how networks can be used to solve a problem for the 18th Century inhabitants of Konigsberg.
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problem
Tourism
If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.