Explaining, convincing and proving
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problemFavouritePairs of numbers
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
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problemFavouriteThe add and take-away path
Two 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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problemFavouriteAll change
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
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problemFavouriteThe animals' sports day
One day, five small animals in my garden had a sports day. Who do you think won each race?
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problemFavouriteWhat's happening?
Shapes are added to other shapes. Can you see what is happening? What is the rule?
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problemFavouriteTwo numbers under the microscope
This investigates one particular property of number by looking closely at an example of adding two odd numbers together.
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problemFavouriteWalking round a triangle
This ladybird is taking a walk round a triangle. Can you see how much she has turned when she gets back to where she started?
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problemFavouriteCount the crayons
How could you estimate the number of pencils/pens in these pictures?