There are four equal weights on one side of the scale and an apple on the other side. What can you say that is true about the apple and the weights from the picture?

Mr. Sunshine tells the children they will have 2 hours of homework. After several calculations, Harry says he hasn't got time to do this homework. Can you see where his reasoning is wrong?

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!

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

Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?

Can you work out how many of each kind of pencil this student bought?

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

Make an estimate of how many light fittings you can see. Was your estimate a good one? How can you decide?

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

This challenge is a game for two players. Choose two numbers from the grid and multiply or divide, then mark your answer on the number line. Can you get four in a row before your partner?

Sissa cleverly asked the King for a reward that sounded quite modest but turned out to be rather large...

How might you use mathematics to improve your chances of guessing the number of sweets in a jar?

Examine these estimates. Do they sound about right?

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

Can you deduce the pattern that has been used to lay out these bottle tops?

Bluey-green, white and transparent squares with a few odd bits of shapes around the perimeter. But, how many squares are there of each type in the complete circle? Study the picture and make. . . .

Who said that adding, subtracting, multiplying and dividing couldn't be fun?