Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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.

Challenge Level

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

Challenge Level

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

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. . . .

Challenge Level

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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. . . .

Challenge Level

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. . . .

Challenge Level

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?

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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