List

Secondary Interactive Resources

These general interactive resources can be used to support students' work on a variety of tasks.
Interactive Spinners
problem
Favourite

Interactive Spinners

Age
11 to 14
Challenge level
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This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Geoboards
interactivity

Geoboards

Geogebra square, circular and rectangular geoboards.

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.

Have you got it?
problem
Favourite

Have you got it?

Age
11 to 14
Challenge level
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Can you explain the strategy for winning this game with any target?
Beelines
problem
Favourite

Beelines

Age
14 to 16
Challenge level
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Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Nine Colours
problem
Favourite

Nine Colours

Age
11 to 16
Challenge level
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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?
Frogs
problem
Favourite

Frogs

Age
11 to 14
Challenge level
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How many moves does it take to swap over some red and blue frogs? Do you have a method?
Napoleon's Theorem
problem

Napoleon's Theorem

Age
14 to 18
Challenge level
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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?
Anti-Magic Square
problem

Anti-Magic Square

Age
11 to 14
Challenge level
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You may have met Magic Squares, now meet an Anti-Magic Square. Its properties are slightly different - can you still solve it?
Tilted Squares
problem
Favourite

Tilted Squares

Age
11 to 14
Challenge level
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It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Isosceles Triangles
problem
Favourite

Isosceles Triangles

Age
11 to 14
Challenge level
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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?
Stars
problem
Favourite

Stars

Age
11 to 14
Challenge level
filled star filled star empty star
Can you work out what step size to take to ensure you visit all the dots on the circle?
Subtended angles
problem
Favourite

Subtended angles

Age
11 to 14
Challenge level
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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?
Right angles
problem
Favourite

Right angles

Age
11 to 14
Challenge level
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Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Odds and Evens
problem
Favourite

Odds and Evens

Age
11 to 14
Challenge level
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Are these games fair? How can you tell?
In the bag
problem
Favourite

In the bag

Age
11 to 14
Challenge level
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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?
Reaction timer
problem
Favourite

Reaction timer

Age
11 to 14
Challenge level
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This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
Which spinners?
problem
Favourite

Which spinners?

Age
14 to 18
Challenge level
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Can you work out which spinners were used to generate the frequency charts?
At right angles
problem
Favourite

At right angles

Age
14 to 16
Challenge level
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Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
Cyclic Quadrilaterals
problem
Favourite

Cyclic Quadrilaterals

Age
11 to 16
Challenge level
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Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
L-triominoes
problem

L-triominoes

Age
14 to 16
Challenge level
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L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
Your number was...
problem
Favourite

Your number was...

Age
11 to 14
Challenge level
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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?
Finding factors
problem
Favourite

Finding factors

Age
14 to 16
Challenge level
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Can you find the hidden factors which multiply together to produce each quadratic expression?
Estimating time
problem
Favourite

Estimating time

Age
11 to 14
Challenge level
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How well can you estimate 10 seconds? Investigate with our timing tool.
Robotic Rotations
problem
Favourite

Robotic Rotations

Age
11 to 16
Challenge level
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How did the the rotation robot make these patterns?
6 by 6 Mathdokus
problem

6 by 6 Mathdokus

Age
7 to 16
Challenge level
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Can you use the clues to complete these 6 by 6 Mathematical Sudokus?
More Less is More
problem
Favourite

More Less is More

Age
7 to 14
Challenge level
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In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.
5 by 5 Mathdokus
problem
Favourite

5 by 5 Mathdokus

Age
7 to 16
Challenge level
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Can you use the clues to complete these 5 by 5 Mathematical Sudokus?
4 by 4 Mathdokus
problem
Favourite

4 by 4 Mathdokus

Age
7 to 14
Challenge level
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Can you use the clues to complete these 4 by 4 Mathematical Sudokus?
Less is More
problem
Favourite

Less is More

Age
7 to 11
Challenge level
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Use your knowledge of place value to try to win this game. How will you maximise your score?
Fruity Totals
problem
Favourite

Fruity Totals

Age
7 to 16
Challenge level
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In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
Number Lines in Disguise
problem
Favourite

Number Lines in Disguise

Age
7 to 14
Challenge level
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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Treasure Hunt
problem
Favourite

Treasure Hunt

Age
7 to 14
Challenge level
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Your number is...
problem
Favourite

Your number is...

Age
7 to 14
Challenge level
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Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Remainders
problem
Favourite

Remainders

Age
7 to 14
Challenge level
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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Colour in the Square
problem

Colour in the Square

Age
7 to 16
Challenge level
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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?
Dozens
problem
Favourite

Dozens

Age
7 to 14
Challenge level
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Can you select the missing digit(s) to find the largest multiple?
Number Sandwiches
problem

Number Sandwiches

Age
7 to 14
Challenge level
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Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
4 Dom
problem
Favourite

4 Dom

Age
5 to 11
Challenge level
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Use these four dominoes to make a square that has the same number of dots on each side.
Tea Cups
problem

Tea Cups

Age
7 to 14
Challenge level
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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.
The Number Jumbler
problem
Favourite

The Number Jumbler

Age
7 to 14
Challenge level
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The Number Jumbler can always work out your chosen symbol. Can you work out how?
Mixing Lemonade
problem
Favourite

Mixing Lemonade

Age
11 to 14
Challenge level
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Can you work out which drink has the stronger flavour?

A little light thinking
problem
Favourite

A little light thinking

Age
14 to 16
Challenge level
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Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Charlie's delightful machine
problem
Favourite

Charlie's delightful machine

Age
11 to 16
Challenge level
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Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Shifting Times Tables
problem
Favourite

Shifting Times Tables

Age
11 to 14
Challenge level
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Can you find a way to identify times tables after they have been shifted up or down?

What numbers can we make now?
problem
Favourite

What numbers can we make now?

Age
11 to 14
Challenge level
filled star filled star empty star

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

Multiplication arithmagons
problem
Favourite

Multiplication arithmagons

Age
14 to 16
Challenge level
filled star filled star empty star

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

Arithmagons
problem
Favourite

Arithmagons

Age
11 to 16
Challenge level
filled star empty star empty star

Can you find the values at the vertices when you know the values on the edges?

More Number Pyramids
problem
Favourite

More Number Pyramids

Age
11 to 14
Challenge level
filled star filled star empty star

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Number Pyramids
problem
Favourite

Number Pyramids

Age
11 to 14
Challenge level
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Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Square coordinates
problem
Favourite

Square coordinates

Age
11 to 14
Challenge level
filled star filled star empty star

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?

Rhombus It
problem
Favourite

Rhombus It

Age
11 to 16
Challenge level
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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.

Square It
problem
Favourite

Square It

Age
11 to 16
Challenge level
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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.

Parallelogram It
problem
Favourite

Parallelogram It

Age
11 to 16
Challenge level
filled star empty star empty star

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.

Factors and Multiples Game
game
Favourite

Factors and Multiples Game

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

Countdown
game
Favourite

Countdown

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

Triangles in circles
problem
Favourite

Triangles in circles

Age
11 to 14
Challenge level
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Can you find triangles on a 9-point circle? Can you work out their angles?

Semi-regular Tessellations
problem
Favourite

Semi-regular Tessellations

Age
11 to 16
Challenge level
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Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?