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problem
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Plants
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
problem
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Cubes
How many faces can you see when you arrange these three cubes in different ways?
problem
Clock face
Where can you draw a line on a clock face so that the numbers on both sides have the same total?
problem
What's a group?
Explore the properties of some groups such as: The set of all real
numbers excluding -1 together with the operation x*y = xy + x + y.
Find the identity and the inverse of the element x.
problem
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Making longer, making shorter
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
problem
Spiroflowers
Analyse these repeating patterns. Decide on the conditions for a
periodic pattern to occur and when the pattern extends to infinity.
problem
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Six ten total
This challenge combines addition, multiplication, perseverance and even proof.
article
Elastic maths
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.