Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
What is the quickest route across a ploughed field when your speed around the edge is greater?
This resources contains a series of interactivities designed to support work on transformations at Key Stage 4.
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.
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.
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 locate these values on this interactive logarithmic scale?
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 resource contains interactive problems to support work on number sequences at Key Stage 4.
Match pairs of cards so that they have equivalent ratios.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
An environment that enables you to investigate tessellations of regular polygons
Here is a chance to play a fractions version of the classic Countdown Game.
Discover a handy way to describe reorderings and solve our anagram in the process.
Practise your skills of proportional reasoning with this interactive haemocytometer.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
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. . . .
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Use Excel to explore multiplication of fractions.
Can you beat the computer in the challenging strategy game?
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.
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.
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.
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.
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 spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?
Match the cards of the same value.
To avoid losing think of another very well known game where the patterns of play are similar.
A metal puzzle which led to some mathematical questions.
How good are you at finding the formula for a number pattern ?
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
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?
A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
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?
A mathematically themed crossword.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
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?
Use an interactive Excel spreadsheet to explore number in this exciting game!
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.
Play countdown with vectors.
Play countdown with matrices
Play a more cerebral countdown using complex numbers.
A weekly challenge concerning prime numbers.