Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

Use the number weights to find different ways of balancing the equaliser.

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

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?

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?

Can you each work out the number on your card? What do you notice? How could you sort the cards?

There are nasty versions of this dice game but we'll start with the nice ones...

Susie took cherries out of a bowl by following a certain pattern. How many cherries had there been in the bowl to start with if she was left with 14 single ones?

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?

Can you hang weights in the right place to make the equaliser balance?

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your oponent.

In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?

Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).

There were 22 legs creeping across the web. How many flies? How many spiders?

Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?

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

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

Fill in the numbers to make the sum of each row, column and diagonal equal to 15.

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

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

If you have only four weights, where could you place them in order to balance this equaliser?

Tell your friends that you have a strange calculator that turns numbers backwards. What secret number do you have to enter to make 141 414 turn around?

Here is a chance to play a version of the classic Countdown Game.

Fill in the numbers to make the sum of each row, column and diagonal equal to 34. For an extra challenge try the huge American Flag magic square.

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

A game for 2 players. Practises subtraction or other maths operations knowledge.

Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?

Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.

Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?

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?

A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!