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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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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

If you are trying to count in something unfamiliar such as hundred thousands it might be useful to write down and read the first two (or more) numbers in the list.
How will you make a prediction?  What sorts of things do you need to take into account?