Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
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?
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!
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.
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.
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.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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. . . .
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?
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.
Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.
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. . . .
Match pairs of cards so that they have equivalent ratios.
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
Can you discover whether this is a fair game?
A mathematically themed crossword.
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 the computer in the challenging strategy game?
Match the cards of the same value.
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?
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
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?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Can you be the first to complete a row of three?
A tool for generating random integers.
Find the frequency distribution for ordinary English, and use it to help you crack the code.
A collection of our favourite pictorial problems, one for each day of Advent.
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.
Here is a chance to play a fractions version of the classic Countdown Game.
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. . . .
A collection of resources to support work on Factors and Multiples at Secondary level.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
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!
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.
An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.
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.
Practise your skills of proportional reasoning with this interactive haemocytometer.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
How good are you at finding the formula for a number pattern ?
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Can you locate these values on this interactive logarithmic scale?
This resource contains interactive problems to support work on number sequences 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.
It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?
Find the vertices of a pentagon given the midpoints of its sides.