Visualising and representing
problem
Sweets in a box
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
problem
Two Squared
What happens to the area of a square if you double the length of
the sides? Try the same thing with rectangles, diamonds and other
shapes. How do the four smaller ones fit into the larger one?
problem
Roll these Dice
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
problem
Little Boxes
How many different cuboids can you make when you use four CDs or
DVDs? How about using five, then six?
problem
Matchsticks
Reasoning about the number of matches needed to build squares that
share their sides.
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NRICH starter problem selection
On this page we give a selection of good starter activities for those new to NRICH
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Problem Solving, Using and Applying and Functional Mathematics
Problem solving is at the heart of the NRICH site. All the problems
give learners opportunities to learn, develop or use mathematical
concepts and skills. Read here for more information.
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Making Maths: Rolypoly
Paint a stripe on a cardboard roll. Can you predict what will
happen when it is rolled across a sheet of paper?