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This month:
Stage 1&2
Stage 2&3
Stage 3&4
Stage 4&5
Lattice Points
Problem
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Hint
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Solution
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Stage: 4 Challenge Level:
The triangle OMN has vertices on the axes with whole number co-ordinates.
Points which have whole number coordinates are called lattice points.
How many lattice points are there on the hypotenuse MN?
Real world
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Mathematical reasoning & proof
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Games
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Manipulating algebraic expressions/formulae
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Visualising
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Generalising
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Making and proving conjectures
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Common factors
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Working systematically
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Coordinates - first quadrant
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Published November 1997.
Help With Mathematical Display