There are **172** NRICH Mathematical resources connected to **Interactivities**, you may find related items under Physical and Digital Manipulatives.

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

Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!

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

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

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

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Challenge Level

Can you work through these direct proofs, using our interactive proof sorters?

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

Can you locate these values on this interactive logarithmic scale?

Challenge Level

Can you work out which spinners were used to generate the frequency charts?

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

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

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

How good are you at finding the formula for a number pattern ?

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

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Challenge Level

The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

Challenge Level

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

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

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Challenge Level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Challenge Level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

Challenge Level

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

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

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Challenge Level

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Challenge Level

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

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

Can you make a right-angled triangle on this peg-board by joining up three points round the edge?

Challenge Level

What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?