Always, sometimes or never? Number

Are these statements always true, sometimes true or never true?

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

Always, sometimes or never? Number printable sheet

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 oddIf you add 1 to an odd number you get an even number
Multiples of 5 end in a 5If 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 get a bigger numberIf you add a number to 5 your answer will be bigger than 5
A square number has an even number of factorsThe sum of three consecutive numbers is divisible by 3
Dividing a whole number by a half makes it twice as big

 

 

 

You could print off and cut out the statement cards from the top of this page and arrange them in this grid.

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