A clock face containing only the number 4. Can you make a clock face containing any other single number?

If all the students in this room shook hands with each other, how many handshakes would there be altogether?

To find out whether a number is happy or not, square each of its digits, add the answers and repeat. If you end up with 1 the number is happy! How many other happy numbers can you find?

Which numbers when multiplied by the number of letters in the word(s) of the number give square numbers?

Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.

Arrange the numbers on the grid of squares so that the totals along each line of three squares are equal.

An interactive workspace in which to make shapes using square tiles with given areas and perimeters.

How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines?

Decide which of the four schemes Aunt Lucy proposes will provide the most money. This investigation involves the sum of sequences as well as considering life expectancy.

Investigate the ways of making up various postage amounts using 3p and 8p stamps. An online stamp calculator is provided for you to check your working.

Is it true that most numbers begin with the digit one? Think of numbers you see everyday and it is a surprising fact that so many of them begin with a one. Can you think why this is true?

Investigate the connection between the numbers in a T shape drawn on this month's calendar.

Two men and two boys want to cross a river and they only have one canoe which will only hold one man or two boys.

Find two decimal numbers that add up to exactly one. What is the product of these two decimals?

How many different badges can you make using three different coloured squares put together to make a rectangle?

Throw two dice and multiply the scores. Investigate the different products you can obtain. What about adding? What about using three dice?

Investigate the way small LEDs were used to make up the digits on a calculator display.

This activity will collect data about your first impressions of some optical illusions. You can then analyse the data to come to your own conclusions.

If you know the final score of a football match, what might the half time score have been?

Generate a number sequence based on the number of letters needed to spell the previous number.

Choose the amount of liquid from each bottle needed to make the watermelon grow as big as possible.

An open-ended investigation challenging pupils to find many different ways to you cut the shape in half.

To find out whether a number is happy square each of its digits, add the answers and repeat. End in one and the number is happy.

The houses in Mathsland are all three storeys tall. Each storey is painted using one colour. How many ways can the houses be painted?

How many different polygons can you make on a 3 by 3 pin board? What about larger pin boards?

If a number of Hula Hoops are dropped on the floor, what is the maximum number of regions they might form?

What is the greatest number of lamp posts that would be needed for a strange village with only straight roads?

A drag and drop activity challenging you to arrange the digits to produce the largest possible product.

An investigation of the minimum number of moves required to make the blue and green frogs swap places.

Investigate this amazing mind reading performance based on simple mathematical principles.

Find the maximum volume of a tray made from an A4 sheet of paper. A practical mathematical investigation.

Take three dice. How many ways can they be turned so that they show only odd numbers on top?

Investigate polygons with an area of 4 sq. units. Investigate polygons with other areas.

When the numbers appear hit the correct button depending on whether the numbers are even or odd

The traditional River Crossing challenge. Can you do it in the smallest number of moves?

Use just six keys on your calculator to make a given total. How many different ways can it be done?

Investigate a special snooker table with only four pockets. Which hole will the snooker ball fall into for various sized snooker tables?

Investigate the numbers associated with this growing sequence of steps made from Multilink cubes.

A tetromino is a shape made of four squares joined edge to edge. How many different tetrominoes are there?

A strategy game requiring you to select three words with a common letter before the computer does.

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