problem
Summing consecutive numbers
Age
11 to 14
Challenge level
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?
problem
Shifting times tables
Age
11 to 14
Challenge level
Can you find a way to identify times tables after they have been shifted up or down?
problem
Charlie's delightful machine
Age
11 to 16
Challenge level
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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
Challenge level
Short problems for secondary students on 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.
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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.