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
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?
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....?
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?
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
An environment which simulates working with Cuisenaire rods.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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!
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?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning 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.
Can you complete this jigsaw of the multiplication square?
Use the interactivities to complete these Venn diagrams.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Here is a chance to play a version of the classic Countdown Game.
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
A collection of resources to support work on Factors and Multiples at Secondary level.
An interactive activity for one to experiment with a tricky tessellation
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Triangle numbers can be represented by a triangular array of
squares. What do you notice about the sum of identical triangle
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?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
A game for 1 person to play on screen. Practise your number bonds
whilst improving your memory
Try out the lottery that is played in a far-away land. What is the
chance of winning?
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.
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
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 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.
Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
Work out how to light up the single light. What's the rule?
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.
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?
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 find all the different ways of lining up these Cuisenaire
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. . . .
Using angular.js to bind inputs to outputs
Choose a symbol to put into the number sentence.
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?