Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
in how many ways can you place the numbers 1, 2, 3 … 9 in the nine regions of the Olympic Emblem (5 overlapping circles) so that the amount in each ring is the same?
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
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.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you. . . .
Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.
Match the cards of the same value.
To avoid losing think of another very well known game where the patterns of play are similar.
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .
A mathematically themed crossword.
Can you be the first to complete a row of three?
Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The winner is the player to take the last counter.
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Can you beat the computer in the challenging strategy game?
Match pairs of cards so that they have equivalent ratios.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Try to move the knight to visit each square once and return to the starting point on this unusual chessboard.
Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Discover a handy way to describe reorderings and solve our anagram in the process.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
Practise your skills of proportional reasoning with this interactive haemocytometer.
An environment that enables you to investigate tessellations of regular polygons
Use Excel to explore multiplication of fractions.
Make and prove a conjecture about the cyclic quadrilateral inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
With red and blue beads on a circular wire; 'put a red bead between any two of the same colour and a blue between different colours then remove the original beads'. Keep repeating this. What happens?
Six circles around a central circle make a flower. Watch the flower as you change the radii in this circle packing. Prove that with the given ratios of the radii the petals touch and fit perfectly.
There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
This resource contains interactive problems to support work on number sequences at Key Stage 4.
How good are you at finding the formula for a number pattern ?
A metal puzzle which led to some mathematical questions.
Can you locate these values on this interactive logarithmic scale?
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
An Excel spreadsheet with an investigation.
A java applet that takes you through the steps needed to solve a Diophantine equation of the form Px+Qy=1 using Euclid's algorithm.
This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
A weekly challenge concerning prime numbers.
The classic vector racing game brought to a screen near you.