Usually, we invite students to send us their solutions to a selection of problems, but this December and January we are doing things a little differently…
The problems below contain interactivities which offer students instant feedback, and we think they are particularly suitable to work on at home, perhaps with a family member, during the holiday period. We hope you enjoy the challenges we’ve selected.
Live problems
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problemFavouritePoly plug rectangles
Age5 to 11Challenge level
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
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problemFavouriteSeeing squares
Age5 to 11Challenge level
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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problemFavouriteThe number jumbler
Age7 to 14Challenge level
The Number Jumbler can always work out your chosen symbol. Can you work out how?
Take a look at these recently solved problems.
Recently solved problems
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problemFavouriteTake three numbers
Age7 to 11Challenge level
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
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problemFavouriteHoles
Age5 to 11Challenge level
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?
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problemFavouriteLots of lollies
Age5 to 7Challenge level
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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problemFavouriteRound the three dice
Age7 to 11Challenge level
What happens when you round these three-digit numbers to the nearest 100?