It is a square number
It is an odd number
It is < 50 and > 20
7 is a factor
It is > 50 and < 90
It is an even number
It is a multiple of 8
24 is a factor
It is a prime number
It is < 40, with two digits
If you double it and take away 9 you get a square number
It is an even number
It is < 79
5, 4, and 3 are all factors
It is a multiple of 10
It is a square number
It is an odd number
It is < 50 and > 20
4 is a factor
Topics: Starter  Number  Riddles
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Numbers and the Making of UsI initially heard this book described on the Grammar Girl podcast and immediately went to find out more about it. I now have it on my Christmas present wish list and am looking forward to receiving a copy (hint!). "Caleb Everett provides a fascinating account of the development of human numeracy, from innate abilities to the complexities of agricultural and trading societies, all viewed against the general background of human cultural evolution. He successfully draws together insights from linguistics, cognitive psychology, anthropology, and archaeology in a way that is accessible to the general reader as well as to specialists." more... 
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Here a concise URL for a version of this page without the comments.
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Here is the URL which will take them to a fastreaction game based on the properties of numbers.