Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

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

This problem looks at how one example of your choice can show something about the general structure of multiplication.

A Bag of Marbles

Suppose that in a bag of marbles, all the ones that -

are rough to feel, have a blue colour on them;

sparkle when rolling, have a red colour on them;

are cold to touch, have a white colour on them;

are dark inside, have a green colour on them.

What can you say about each of the marbles A - J?

Imagine you are making marbles. What colours must be put on marbles that -

sparkle when rolling but are dark inside?

are cold to touch and feel rough?

are cold, but sparkle when rolling?

What colour(s) could be on a marble that -

is cold?

sparkles when rolling?

What colours would you find on a cold, sparkly, dark and rough marble?