Can you work out what step size to take to ensure you visit all the dots on the circle?
A collection of resources to support work on Factors and Multiples at Secondary level.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
In this game you are challenged to gain more columns of lily pads than your opponent.
A game in which players take it in turns to choose a number. Can you block your opponent?
Can you explain the strategy for winning this game with any target?
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
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.
What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
Can you discover whether this is a fair game?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Use Excel to explore multiplication of fractions.
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
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
To avoid losing think of another very well known game where the patterns of play are similar.
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?
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
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.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
How good are you at finding the formula for a number pattern ?
The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
An environment which simulates working with Cuisenaire rods.
How good are you at estimating angles?
Here is a chance to play a fractions version of the classic Countdown Game.
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.
Here is a chance to play a version of the classic Countdown Game.
Use an Excel spreadsheet to explore long multiplication.
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use Excel to practise adding and subtracting fractions.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
Can you find a strategy that ensures you get to take the last biscuit in this game?
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. . . .
An animation that helps you understand the game of Nim.
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.
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?
Can you find the pairs that represent the same amount of money?
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?
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?
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
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?
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?