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Month Mania

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

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1 to 8

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

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In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

Page Numbers

Age 7 to 11 Short Challenge Level:

Why do this problem?

This problem would make a good early morning challenge for children to have a go at while you're taking the register, for example. It requires limited knowledge about counting and place value, but is answered most efficiently using some sort of systematic way of working.

Key questions

How many pages have just single-digit page numbers?
How many pages have two-digit page numbers ... etc?