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# Always, Sometimes or Never? Number

##### Age 7 to 11Challenge Level

Are the following statements always true, sometimes true or never true?
How do you know?

Can you find examples or counter-examples for each one?

For the 'sometimes' cards can you explain when they are true? Or rewrite them so that they are always true or never true?

 The sum of three numbers is odd If you add 1 to an odd number you get an even number Multiples of 5 end in a 5 If you add two odd numbers you get an odd number If you add a multiple of 10 to a multiple of 5 the answer is a multiple of 5

What about these more complex statements?

 When you multiply two numbers you will always get a bigger number If you add a number to 5 your answer will be bigger than 5 A square number has an even number of factors The sum of three consecutive numbers is divisible by 3 Dividing a whole number by a half makes it twice as big

You could cut out the statement cards and arrange them in this grid.

Alternatively, you may like to try out your ideas using the interactivities below: