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Number Detective

Follow the clues to find the mystery number.

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Six Is the Sum

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

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(w)holy Numbers

A church hymn book contains 700 hymns. The numbers of the hymns are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?

Becky's Number Plumber

Stage: 2 Challenge Level: Challenge Level:1
What have you noticed about the answers each time?
What do they have in common?
What do you know about multiplying by $5$?
Can you explain why these patterns occur?