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problem
Sums and differences 1
7 to 11
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
problem
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Take three from five
11 to 16
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?
problem
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Shopping basket
11 to 16
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
problem
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Always perfect
14 to 18
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
problem
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Seven squares - group-worthy task
11 to 14
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
problem
Counting stick conjectures
5 to 11
How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
article
Back to the practical?
In this article for teachers, Bernard uses some problems to suggest
that once a numerical pattern has been spotted from a practical
starting point, going back to the practical can help explain why
the pattern occurs.
problem
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Interactive number patterns
14 to 16
How good are you at finding the formula for a number pattern ?
problem
A numbered route
7 to 11
Can you draw a continuous line through 16 numbers on this grid so
that the total of the numbers you pass through is as high as
possible?