Visualising and representing

There are 544 NRICH Mathematical resources connected to Visualising and representing
Lots of Biscuits!
problem

Lots of Biscuits!

Age
5 to 7
Challenge level
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Help share out the biscuits the children have made.
Mixing Lemonade
problem

Mixing Lemonade

Age
11 to 14
Challenge level
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Can you work out which drink has the stronger flavour?
Crawl Around the Cube
problem

Crawl Around the Cube

Age
11 to 14
Challenge level
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Weekly Problem 37 - 2010
An ant is crawling around the edges of a cube. From the description of his path, can you predict when he will return to his starting point?
Don't Be Late
problem

Don't Be Late

Age
11 to 14
Challenge level
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Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.
17s and 23s
problem

17s and 23s

Age
11 to 14
Challenge level
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Can you form this 2010-digit number...
28 - upward and onward
problem

28 - upward and onward

Age
7 to 11
Challenge level
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Can you find ways of joining cubes together so that 28 faces are visible?
Painted Purple
problem

Painted Purple

Age
14 to 16
Challenge level
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Three faces of a $3 \times 3$ cube are painted red, and the other three are painted blue. How many of the 27 smaller cubes have at least one red and at least one blue face?
Island Hopping
problem

Island Hopping

Age
11 to 14
Challenge level
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What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
Mystic Rose
problem

Mystic Rose

Age
14 to 16
Challenge level
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Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
Diminishing Returns
problem

Diminishing Returns

Age
11 to 14
Challenge level
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How much of the square is coloured blue? How will the pattern continue?