Conjecturing and generalising
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problemFavouriteLots 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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problemFavouriteMore Numbers in the Ring
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
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problemFavouriteStop the Clock
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
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problemFavouriteOdd Times Even
This problem looks at how one example of your choice can show something about the general structure of multiplication.
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gameStop the Clock for Two
Stop the Clock game for an adult and child. How can you make sure you always win this game? -
listGeneralising
These tasks give learners chance to generalise, which involves identifying an underlying structure. -
articleMastering Mathematics: the Challenge of Generalising and Proof
This article for primary teachers discusses how we can help learners generalise and prove, using NRICH tasks as examples.
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problemFavouriteCircles, Circles
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
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problemFavouriteAlways, Sometimes or Never?
Are these statements relating to odd and even numbers always true, sometimes true or never true?