Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
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?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Use the interactivities to complete these Venn diagrams.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
An odd version of tic tac toe
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Match the halves.
Can you hang weights in the right place to make the equaliser
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....?
Exchange the positions of the two sets of counters in the least possible number of moves
Arrange any number of counters from these 18 on the grid to make a
rectangle. What numbers of counters make rectangles? How many
different rectangles can you make with each number of counters?
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Can you find just the right bubbles to hold your number?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
A variant on the game Alquerque
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
Move just three of the circles so that the triangle faces in the
Choose four of the numbers from 1 to 9 to put in the squares so
that the differences between joined squares are odd.
A generic circular pegboard resource.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Complete the squares - but be warned some are trickier than they
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 complete this jigsaw of the multiplication square?
Can you complete this jigsaw of the 100 square?
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!
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?
Work out how to light up the single light. What's the rule?
Twenty four games for the run-up to Christmas.
If you have only four weights, where could you place them in order
to balance this equaliser?
These interactive dominoes can be dragged around the screen.
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?
Use the sightings of the lion to guess the location of its lair.
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?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
Try this interactive strategy game for 2
Can you fit the tangram pieces into the outline of this telephone?
Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?