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?
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
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....?
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?
Can you find the chosen number from the grid using the clues?
Place the numbers 1 to 8 in the circles so that no consecutive
numbers are joined by a line.
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?
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?
Use the interactivity to find all the different right-angled
triangles you can make by just moving one corner of the starting
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?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
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.
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.
What happens when you try and fit the triomino pieces into these
Follow the clues to find the mystery number.
Use the clues to colour each square.
Can you find all the different ways of lining up these Cuisenaire
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?
Can you cover the camel with these pieces?
Can you replace the letters with numbers? Is there only one
solution in each case?
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?
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.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
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 substitute numbers for the letters in these sums?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
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 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?
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 these head, body and leg pieces to make Robot Monsters which
are different heights.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
In this matching game, you have to decide how long different events take.
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?
Place this "worm" on the 100 square and find the total of the four
squares it covers. Keeping its head in the same place, what other
totals can you make?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
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?
Try this matching game which will help you recognise different ways of saying the same time interval.
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?
What do the digits in the number fifteen add up to? How many other
numbers have digits with the same total but no zeros?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
This activity focuses on rounding to the nearest 10.
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?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?