Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
I was in my car when I noticed a line of four cars on the lane next
to me with number plates starting and ending with J, K, L and M.
What order were they in?
Place the numbers 1 to 8 in the circles so that no consecutive
numbers are joined by a line.
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
A magician took a suit of thirteen cards and held them in his hand
face down. Every card he revealed had the same value as the one he
had just finished spelling. How did this work?
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?
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Try this matching game which will help you recognise different ways of saying the same time interval.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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?
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....?
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?
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
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?
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.
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?
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?
Use the clues to colour each square.
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?
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
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.
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
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?
What do the digits in the number fifteen add up to? How many other
numbers have digits with the same total but no zeros?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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 substitute numbers for the letters in these sums?
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.
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Can you find all the different ways of lining up these Cuisenaire
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
In how many ways could Mrs Beeswax put ten coins into her three
puddings so that each pudding ended up with at least two coins?
Can you replace the letters with numbers? Is there only one
solution in each case?
What two-digit numbers can you make with these two dice? What can't you make?
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
In this matching game, you have to decide how long different events take.
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?
Can you find the chosen number from the grid using the clues?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
If you put three beads onto a tens/ones abacus you could make the
numbers 3, 30, 12 or 21. What numbers can be made with six beads?
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?