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problem
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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problem
Shifting times tables
Can you find a way to identify times tables after they have been shifted up or down?
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problem
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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article
Go forth and generalise
Spotting patterns can be an important first step - explaining why it is appropriate to generalise is the next step, and often the most interesting and important.
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Patterns and sequences short problems
Short problems for secondary students on patterns and sequences
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Patterns and sequences: Age 14-16
Working on these Stage 4 problems will help you develop a better understanding of patterns and sequences.
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Patterns and sequences: Age 11-14
Working on these Stage 3 problems will help you develop a better understanding of patterns and sequences.