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Number Detective

Follow the clues to find the mystery number.

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Grouping Goodies

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

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Red Even

You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?

Venn Diagrams

Stage: 1 and 2 Challenge Level: Challenge Level:1
Where would you put a number which is a multiple of $5$ but not even?
Where would an even multiple of $5$ go?
Where would a number which is odd but not a multiple of $5$ go?
Where would you put a number which is not a multiple of $5$ and not even?