Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Can you complete this jigsaw of the 100 square?
An odd version of tic tac toe
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
Can you complete this jigsaw of the multiplication square?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Complete the squares - but be warned some are trickier than they
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?
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?
Can you hang weights in the right place to make the equaliser
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?
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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....?
A generic circular pegboard resource.
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?
Match the halves.
Play this well-known game against the computer where each player is
equally likely to choose scissors, paper or rock. Why not try the
Use the interactivity to find out how many quarter turns the man
must rotate through to look like each of the pictures.
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?
Here is a chance to play a version of the classic Countdown Game.
Exchange the positions of the two sets of counters in the least possible number of moves
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Move just three of the circles so that the triangle faces in the
Use the number weights to find different ways of balancing the equaliser.
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
A variant on the game Alquerque
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!
Choose four of the numbers from 1 to 9 to put in the squares so
that the differences between joined squares are odd.
Twenty four games for the run-up to Christmas.
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?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Use the interactivities to complete these Venn diagrams.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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 put the 25 coloured tiles into the 5 x 5 square so that no
column, no row and no diagonal line have tiles of the same colour
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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?