Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
Place the numbers 1 to 8 in the circles so that no consecutive
numbers are joined by a line.
A Sudoku with clues given as sums of entries.
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 in them?
How many models can you find which obey these rules?
Use the information to describe these marbles. What colours must be
on marbles that sparkle when rolling but are dark inside?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
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?
Use the clues to work out which cities Mohamed, Sheng, Tanya and
Bharat live in.
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Arrange the digits 1, 1, 2, 2, 3 and 3 so that between the two 1's
there is one digit, between the two 2's there are two digits, and
between the two 3's there are three digits.
A particular technique for solving Sudoku puzzles, known as "naked pair", is explained in this easy-to-read article.
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
If these elves wear a different outfit every day for as many days
as possible, how many days can their fun last?
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.
This challenge extends the Plants investigation so now four or more children are involved.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Can you find all the different triangles on these peg boards, and
find their angles?
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?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
60 pieces and a challenge. What can you make and how many of the
pieces can you use creating skeleton polyhedra?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Can you find all the different ways of lining up these Cuisenaire
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Find out what a "fault-free" rectangle is and try to make some of
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
This article for teachers describes several games, found on the
site, all of which have a related structure that can be used to
develop the skills of strategic planning.
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
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....?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Only one side of a two-slice toaster is working. What is the
quickest way to toast both sides of three slices of bread?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Seven friends went to a fun fair with lots of scary rides. They
decided to pair up for rides until each friend had ridden once with
each of the others. What was the total number rides?
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
How many different triangles can you make on a circular pegboard that has nine pegs?
A challenging activity focusing on finding all possible ways of stacking rods.
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?
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
What happens when you try and fit the triomino pieces into these
Can you cover the camel with these pieces?
In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
Try this matching game which will help you recognise different ways of saying the same time interval.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.