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A collection of our favourite pictorial problems, one for each day of Advent.
Use Excel to explore multiplication of fractions.
Use an interactive Excel spreadsheet to investigate factors and multiples.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Use Excel to practise adding and subtracting fractions.
Use an Excel spreadsheet to explore long multiplication.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use Excel to investigate the effect of translations around a number grid.
Use an interactive Excel spreadsheet to explore number in this exciting game!
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
An Excel spreadsheet with an investigation.
Here is a chance to play a fractions version of the classic Countdown Game.
A tool for generating random integers.
An environment that enables you to investigate tessellations of regular polygons
Match pairs of cards so that they have equivalent ratios.
A metal puzzle which led to some mathematical questions.
The classic vector racing game brought to a screen near you.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
A collection of resources to support work on Factors and Multiples at Secondary level.
Match the cards of the same value.
Can you beat the computer in the challenging strategy game?
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.
A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.
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.
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 be the first to complete a row of three?
Cellular is an animation that helps you make geometric sequences composed of square cells.
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Can you discover whether this is a fair game?
Use the interactivity to play two of the bells in a pattern. How do you know when it is your turn to ring, and how do you know which bell to ring?
We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4
Investigate how logic gates work in circuits.
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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?
Can you find all the 4-ball shuffles?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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?