You may also like

problem icon

A Bag of Marbles

Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?

problem icon

Two Numbers Under the Microscope

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

problem icon

Walking Round a Triangle

This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?

Odd Times Even

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Choose any two numbers, such as 4 and 5. One must be even and the other odd.

Try multiplying them together. How could you show this?

Lewis used a number line:

Morven used Multilink cubes:

Athol used counters:

What do you notice about the answer?

Look closely at one of these models.

Can you see anything in it that would work in exactly the same way if you used the same modelĀ  with a different pair of even and odd numbers?

Can you use your one example to prove what will happen every time you multiply an even number and an odd number together?

See if you can explain this to someone else.

Are they convinced by your argument?

Once you can convince someone else, see if you can find a way to show us your argument. You might draw something or take a photo of things you have used to prove that your result is always true from your example.

Tell us about it by submitting your solution.