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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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Neighbours

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?

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Page Numbers

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

Which Is Quicker?

Stage: 2 Challenge Level: Challenge Level:1

1, 2, 3, ... 10, 20, 30, ... Which is quicker, counting up to $30$ in ones or counting up to $300$ in tens? Why?
Which is quicker, counting up to $40$ in ones or counting up to $4,000$ in hundreds?

Which is quicker, counting up to $10$ in ones or counting up to $1,000,000$ in hundred-thousands?

Which is quicker, counting up to $20$ in ones or counting up to $140$ in sevens?

Which is quicker, counting up to $25$ in French or in English?

Maybe you could work on this with a partner!
When you have timed yourselves and decided about the reasons for your results, you could invent some other examples for yourselves.
You could predict which was going to be quicker and then try them out to test your prediction.