There are 167 NRICH Mathematical resources connected to Interactivities, you may find related items under Physical and Digital Manipulatives.
Broad Topics > Physical and Digital Manipulatives > Interactivities
Carroll Diagrams
Age 5 to 11
Challenge Level
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Seeing Squares
Age 5 to 11
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.
Poly Plug Rectangles
Age 5 to 14
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?
Interactive Workout - Mathmo
Age 16 to 18 Short
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!
Light the Lights
Age 5 to 7
Challenge Level
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Light the Lights Again
Age 7 to 11
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?
Times Tables Shifts
Age 7 to 11
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?
Countdown Fractions
Age 11 to 16
Challenge Level
Here is a chance to play a fractions version of the classic Countdown Game.
Coded Hundred Square
Age 7 to 11
Challenge Level
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Countdown
Age 7 to 14
Challenge Level
Here is a chance to play a version of the classic Countdown Game.
A Question of Scale
Age 14 to 16
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?
Direct Logic
Age 16 to 18
Challenge Level
Can you work through these direct proofs, using our interactive proof sorters?
Treasure Hunt
Age 7 to 14
Challenge Level
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Find the Difference
Age 5 to 7
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.
Power Match
Age 16 to 18
Challenge Level
Can you locate these values on this interactive logarithmic scale?
Which Spinners?
Age 14 to 18
Challenge Level
Can you work out which spinners were used to generate the frequency charts?
Stop the Clock
Age 5 to 7
Challenge Level
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Interactive Spinners
Age 11 to 14
Challenge Level
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
First Connect Three
Age 7 to 11
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?
Interactive Number Patterns
Age 14 to 16
Challenge Level
How good are you at finding the formula for a number pattern ?
Turning
Age 5 to 7
Challenge Level
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
Inside Triangles
Age 5 to 7
Challenge Level
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Multiplication Square Jigsaw
Age 7 to 11
Challenge Level
Can you complete this jigsaw of the multiplication square?
Twice as Big?
Age 7 to 11
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.
Turning Man
Age 5 to 7
Challenge Level
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Factors and Multiples Game
Age 7 to 16
Challenge Level
A game in which players take it in turns to choose a number. Can you block your opponent?
Multiples Grid
Age 7 to 11
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?
Sort the Street
Age 5 to 7
Challenge Level
Sort the houses in my street into different groups. Can you do it in any other ways?
Substitution Cipher
Age 11 to 14
Challenge Level
Find the frequency distribution for ordinary English, and use it to help you crack the code.
More Magic Potting Sheds
Age 11 to 14
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?
Magic Potting Sheds
Age 11 to 14
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?
More Transformations on a Pegboard
Age 7 to 11
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.
Semi-regular Tessellations
Age 11 to 16
Challenge Level
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Up and Across
Age 11 to 14
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.
Speeding Up, Slowing Down
Age 11 to 14
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.
How Far Does it Move?
Age 11 to 14
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.
Are You Well Balanced?
Age 5 to 7
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.
Cuisenaire Environment
Age 5 to 16
Challenge Level
An environment which simulates working with Cuisenaire rods.
Same Length Trains
Age 5 to 7
Challenge Level
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Cosy Corner
Age 11 to 14
Challenge Level
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Two's Company
Age 11 to 14
Challenge Level
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Flippin' Discs
Age 11 to 14
Challenge Level
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Board Block Challenge
Age 7 to 11
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?
Three Ball Line Up
Age 5 to 7
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.
Nine-pin Triangles
Age 7 to 11
Challenge Level
How many different triangles can you make on a circular pegboard that has nine pegs?
Right Angles
Age 11 to 14
Challenge Level
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Subtended Angles
Age 11 to 14
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?
Triangles in Circles
Age 11 to 14
Challenge Level
Can you find triangles on a 9-point circle? Can you work out their angles?
NRICH is part of the family of activities in the Millennium Mathematics Project.