The problems in this masterclass package are intended to be used in a computer room to introduce students to ideas in Number Theory.
Working on a selection of these activities builds on students' knowledge of multiples and allows them to develop and formalise their understanding of linear sequences, remainders and modular arithmetic.
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Shifting times tables
Can you find a way to identify times tables after they have been shifted up or down?
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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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Take three from five
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
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What numbers can we make now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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Charlie's delightful machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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Got it
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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