When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Can you find a relationship between the number of dots on the
circle and the number of steps that will ensure that all points are
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
Find the frequency distribution for ordinary English, and use it to help you crack the code.
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
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?
Work out how to light up the single light. What's the rule?
Can you locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
A game in which players take it in turns to choose a number. Can you block your opponent?
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Meg and Mo still need to hang their marbles so that they balance,
but this time the constraints are different. Use the interactivity
to experiment and find out what they need to do.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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?
Two engines, at opposite ends of a single track railway line, set
off towards one another just as a fly, sitting on the front of one
of the engines, sets off flying along the railway line...
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.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
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. . . .
Can you coach your rowing eight to win?
Meg and Mo need to hang their marbles so that they balance. Use the
interactivity to experiment and find out what they need to do.
A collection of resources to support work on Factors and Multiples at Secondary level.
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.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
What is the relationship between the angle at the centre and the
angles at the circumference, for angles which stand on the same
arc? Can you prove it?
An animation that helps you understand the game of Nim.
Imagine picking up a bow and some arrows and attempting to hit the
target a few times. Can you work out the settings for the sight
that give you the best chance of gaining a high score?
Carry out some time trials and gather some data to help you decide
on the best training regime for your rowing crew.
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
Here is a chance to play a version of the classic Countdown Game.
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
Mo has left, but Meg is still experimenting. Use the interactivity
to help you find out how she can alter her pouch of marbles and
still keep the two pouches balanced.
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?
How many different triangles can you make which consist of the
centre point and two of the points on the edge? Can you work out
each of their angles?
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.
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Could games evolve by natural selection? Take part in this web experiment to find out!
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
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?
Use Excel to explore multiplication of fractions.
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. . . .