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.
list
Patterns and sequences short problems
Challenge level
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.