### Cubes

Investigate the number of faces you can see when you arrange three cubes in different ways.

### I'm Eight

Find a great variety of ways of asking questions which make 8.

### Let's Investigate Triangles

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

# Largest Even

##### Stage: 1 Challenge Level:

I have a pile of nine digit cards numbered $1$ to $9$.

I take one of the cards.  It is the $3$.

Which card would you choose to go with the 3 so you could make the largest possible two-digit even number with the two cards?

We put the cards back in the pile.  This time, I choose the $6$. Which card would you choose this time to go with the 6 to make the largest possible two-digit even number?

Have a go at this with a partner.  One of you chooses the first digit from the set of cards.  The second person then chooses a card to make the largest possible two-digit even number. You can then swap over.

Try it several times so you are sure you have a good method. Talk about your ideas with your partner so you agree together on a 'best' method.

How would your strategy change if you had to make the largest two-digit odd number?

If you don't have a partner to work with, you could use the interactivity below.  The computer selects one digit at random.   You must then choose a digit to make the largest possible two-digit even number or largest possible two-digit odd number.

Enter the biggest two-digit number you can think of that uses the digit: