Challenge Level

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

Challenge Level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Challenge Level

Are these statements always true, sometimes true or never true?

Challenge Level

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Challenge Level

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

Challenge Level

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

Challenge Level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Challenge Level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Challenge Level

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

Challenge Level

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Challenge Level

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

Challenge Level

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

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

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

Challenge Level

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Challenge Level

Can you complete this jigsaw of the multiplication square?

Challenge Level

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

Challenge Level

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Challenge Level

A game in which players take it in turns to choose a number. Can you block your opponent?

Challenge Level

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Challenge Level

Sort the houses in my street into different groups. Can you do it in any other ways?

Challenge Level

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

Challenge Level

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

Challenge Level

An environment which simulates working with Cuisenaire rods.

Challenge Level

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Challenge Level

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Challenge Level

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Challenge Level

How many different triangles can you make on a circular pegboard that has nine pegs?

Challenge Level

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

Challenge Level

Use these head, body and leg pieces to make Robot Monsters which are different heights.

Challenge Level

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Challenge Level

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Challenge Level

Practise your tables skills and try to beat your previous best score in this interactive game.

Challenge Level

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Challenge Level

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Challenge Level

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

Challenge Level

Have a go at this version of John Conway's game. Do you have any good strategies for winning?

Challenge Level

In this game you are challenged to gain more columns of lily pads than your opponent.

Challenge Level

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

Challenge Level

Train game for an adult and child. Who will be the first to make the train?

Challenge Level

Board Block game for two. Can you stop your partner from being able to make a shape on the board?

Challenge Level

Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

Challenge Level

Stop the Clock game for an adult and child. How can you make sure you always win this game?

The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.

Challenge Level

A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .