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
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
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. . . .
Here is a chance to play a version of the classic Countdown Game.
Work out how to light up the single light. What's the rule?
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?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
What happens when you turn these cogs? Investigate the differences
between turning two cogs of different sizes and two cogs which are
An environment which simulates working with Cuisenaire rods.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
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?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
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.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Can you spot the similarities between this game and other games you
know? The aim is to choose 3 numbers that total 15.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
Can you complete this jigsaw of the multiplication square?
Use the interactivities to complete these Venn diagrams.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
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?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
If you have only four weights, where could you place them in order
to balance this equaliser?
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Use the interactivity to investigate what kinds of triangles can be
drawn on peg boards with different numbers of pegs.
A generic circular pegboard resource.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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?
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?
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 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?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
Can you locate the lost giraffe? Input coordinates to help you
search and find the giraffe in the fewest guesses.
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the chairs?
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