Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
How many trains can you make which are the same length as Matt's, using rods that are identical?
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
The challenge here is to find as many routes as you can for a fence
to go so that this town is divided up into two halves, each with 8
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Put 10 counters in a row. Find a way to arrange the counters into
five pairs, evenly spaced in a row, in just 5 moves, using the
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Place the numbers 1 to 8 in the circles so that no consecutive
numbers are joined by a line.
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?
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....?
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
Use the clues to colour each square.
Place eight queens on an chessboard (an 8 by 8 grid) so that none
can capture any of the others.
Place eight dots on this diagram, so that there are only two dots
on each straight line and only two dots on each circle.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
In a square in which the houses are evenly spaced, numbers 3 and 10
are opposite each other. What is the smallest and what is the
largest possible number of houses in the square?
Move from the START to the FINISH by moving across or down to the
next square. Can you find a route to make these totals?
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?
A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
Can you find the chosen number from the grid using the clues?
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with 15 copies of itself, be used to cover
an eight by eight chessboard?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
Investigate the different ways you could split up these rooms so
that you have double the number.
Can you cover the camel with these pieces?
If you have three circular objects, you could arrange them so that
they are separate, touching, overlapping or inside each other. Can
you investigate all the different possibilities?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
In this maze of hexagons, you start in the centre at 0. The next
hexagon must be a multiple of 2 and the next a multiple of 5. What
are the possible paths you could take?
When newspaper pages get separated at home we have to try to sort
them out and get things in the correct order. How many ways can we
arrange these pages so that the numbering may be different?
In this matching game, you have to decide how long different events take.
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
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 we had 16 light bars which digital numbers could we make? How
will you know you've found them all?
How many different rhythms can you make by putting two drums on the
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
What happens when you try and fit the triomino pieces into these
Start with three pairs of socks. Now mix them up so that no
mismatched pair is the same as another mismatched pair. Is there
more than one way to do it?
A package contains a set of resources designed to develop
students’ mathematical thinking. This package places a
particular emphasis on “being systematic” and is
designed to meet. . . .
Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.