Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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
Each light in this interactivity turns on according to a rule. What
happens when you enter different numbers? Can you find the smallest
number that lights up all four lights?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
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?
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?
An environment which simulates working with Cuisenaire rods.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
Here is a chance to play a version of the classic Countdown Game.
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?
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?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Work out how to light up the single light. What's the rule?
Use the interactivities to complete these Venn diagrams.
If you have only four weights, where could you place them in order
to balance this equaliser?
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!
Can you complete this jigsaw of the multiplication square?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
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....?
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
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!
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
An interactive activity for one to experiment with a tricky tessellation
A train building game for 2 players.
A collection of resources to support work on Factors and Multiples at Secondary level.
Choose a symbol to put into the number sentence.
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
A card pairing game involving knowledge of simple ratio.
Can you spot the similarities between this game and other games you
know? The aim is to choose 3 numbers that total 15.
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 generic circular pegboard resource.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
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?
Train game for an adult and child. Who will be the first to make the train?
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.
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?
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?
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
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?