The Seeing is Believing pathway on wild.maths.org offers students situations where they can draw their own diagrams as well as using our images to discover relationships and make connections.
The collection of related NRICH tasks below are ideal for teachers who want to promote creativity in the classroom. They are designed for classroom use, with accompanying Teachers' Notes and Resources.
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The remainders game
Play this game and see if you can figure out the computer's chosen number.
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Remainders
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
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Reflecting squarely
In how many ways can you fit all three pieces together to make shapes with line symmetry?
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Picturing triangular numbers
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Picturing square numbers
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
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What numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
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Sieve of Eratosthenes
Follow this recipe for sieving numbers and see what interesting patterns emerge.
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Summing consecutive numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
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Squares in rectangles
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Always a multiple?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
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Seven squares
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Marbles in a box
How many winning lines can you make in a three-dimensional version of noughts and crosses?
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Cubes within cubes revisited
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Triominoes
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Factorising with multilink
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Steel cables
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Attractive tablecloths
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Painted cube
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Mystic rose
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Partly painted cube
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L-triominoes
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Picture story
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Plus minus
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