These general interactive resources can be used to support students' work on a variety of tasks.
problem
Favourite
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.
Games and Activities
These tasks for classroom use include a game or interactive content and are ideal for lessons with tablets, laptops, or in a computer room.
problem
Favourite
Have you got it?
Age
11 to 14
Challenge level
Can you explain the strategy for winning this game with any target?
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Beelines
Age
14 to 16
Challenge level
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
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Nine Colours
Age
11 to 16
Challenge level
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
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Frogs
Age
11 to 14
Challenge level
How many moves does it take to swap over some red and blue frogs? Do you have a method?
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Napoleon's Theorem
Age
14 to 18
Challenge level
Triangle ABC has equilateral triangles drawn on its edges. Points
P, Q and R are the centres of the equilateral triangles. What can
you prove about the triangle PQR?
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Anti-Magic Square
Age
11 to 14
Challenge level
You may have met Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different - can you still solve it?
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Tilted Squares
Age
11 to 14
Challenge level
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
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Isosceles Triangles
Age
11 to 14
Challenge level
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
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Stars
Age
11 to 14
Challenge level
Can you work out what step size to take to ensure you visit all the dots on the circle?
problem
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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?
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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?
problem
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Odds and Evens
Age
11 to 14
Challenge level
Are these games fair? How can you tell?
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In the bag
Age
11 to 14
Challenge level
Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?
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Reaction timer
Age
11 to 14
Challenge level
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
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Which spinners?
Age
14 to 18
Challenge level
Can you work out which spinners were used to generate the frequency charts?
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At right angles
Age
14 to 16
Challenge level
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
problem
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Cyclic Quadrilaterals
Age
11 to 16
Challenge level
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
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L-triominoes
Age
14 to 16
Challenge level
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
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Favourite
Your number was...
Age
11 to 14
Challenge level
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
problem
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Finding factors
Age
14 to 16
Challenge level
Can you find the hidden factors which multiply together to produce each quadratic expression?
problem
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Estimating time
Age
11 to 14
Challenge level
How well can you estimate 10 seconds? Investigate with our timing tool.
problem
Favourite
Robotic Rotations
Age
11 to 16
Challenge level
How did the the rotation robot make these patterns?
problem
6 by 6 Mathdokus
Age
7 to 16
Challenge level
Can you use the clues to complete these 6 by 6 Mathematical Sudokus?
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Favourite
More Less is More
Age
7 to 14
Challenge level
In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
interactivity
Tessellation interactivity
An environment that enables you to investigate tessellations of
regular polygons
problem
Favourite
5 by 5 Mathdokus
Age
7 to 16
Challenge level
Can you use the clues to complete these 5 by 5 Mathematical Sudokus?
problem
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4 by 4 Mathdokus
Age
7 to 14
Challenge level
Can you use the clues to complete these 4 by 4 Mathematical Sudokus?
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Less is More
Age
7 to 11
Challenge level
Use your knowledge of place value to try to win this game. How will you maximise your score?
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Fruity Totals
Age
7 to 16
Challenge level
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
problem
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Number Lines in Disguise
Age
7 to 14
Challenge level
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
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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?
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Your number is...
Age
7 to 14
Challenge level
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
problem
Favourite
Remainders
Age
7 to 14
Challenge level
I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
problem
Colour in the Square
Age
7 to 16
Challenge level
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
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Favourite
Dozens
Age
7 to 14
Challenge level
Can you select the missing digit(s) to find the largest multiple?
problem
Number Sandwiches
Age
7 to 14
Challenge level
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
problem
Favourite
4 Dom
Age
5 to 11
Challenge level
Use these four dominoes to make a square that has the same number of dots on each side.
problem
Tea Cups
Age
7 to 14
Challenge level
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
problem
Favourite
The Number Jumbler
Age
7 to 14
Challenge level
The Number Jumbler can always work out your chosen symbol. Can you work out how?
problem
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Mixing Lemonade
Age
11 to 14
Challenge level
Can you work out which drink has the stronger flavour?
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A little light thinking
Age
14 to 16
Challenge level
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
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Charlie's delightful machine
Age
11 to 16
Challenge level
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
problem
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Shifting Times Tables
Age
11 to 14
Challenge level
Can you find a way to identify times tables after they have been shifted up or down?
problem
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What numbers can we make now?
Age
11 to 14
Challenge level
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
problem
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Multiplication arithmagons
Age
14 to 16
Challenge level
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
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Arithmagons
Age
11 to 16
Challenge level
Can you find the values at the vertices when you know the values on the edges?
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More Number Pyramids
Age
11 to 14
Challenge level
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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Favourite
Number Pyramids
Age
11 to 14
Challenge level
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
problem
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Square coordinates
Age
11 to 14
Challenge level
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
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Favourite
Rhombus It
Age
11 to 16
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 rhombus.
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Square It
Age
11 to 16
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.
problem
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Parallelogram It
Age
11 to 16
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 parallelogram.
game
Favourite
Factors and Multiples Game
A game in which players take it in turns to choose a number. Can you block your opponent?
problem
Favourite
Triangles in circles
Age
11 to 14
Challenge level
Can you find triangles on a 9-point circle? Can you work out their angles?
problem
Favourite
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?