This challenge combines addition, multiplication, perseverance and even proof.

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .

A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?

This dice train has been made using specific rules. How many different trains can you make?

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

This activity involves rounding four-digit numbers to the nearest thousand.

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?

What happens when you round these numbers to the nearest whole number?

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

This article for teachers discusses examples of problems in which there is no obvious method but in which children can be encouraged to think deeply about the context and extend their ability to. . . .

In how many ways can you arrange three dice side by side on a surface so that the sum of the numbers on each of the four faces (top, bottom, front and back) is equal?

Play this dice game yourself. How could you make it fair?

A standard die has the numbers 1, 2 and 3 are opposite 6, 5 and 4 respectively so that opposite faces add to 7? If you make standard dice by writing 1, 2, 3, 4, 5, 6 on blank cubes you will find. . . .

When dice land edge-up, we usually roll again. But what if we didn't...?

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Which of these dice are right-handed and which are left-handed?

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?