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?
Try this matching game which will help you recognise different ways of saying the same time interval.
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
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.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Ram divided 15 pennies among four small bags. He could then pay any sum of money from 1p to 15p without opening any bag. How many pennies did Ram put in each bag?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
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?
Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.
Here are some rods that are different colours. How could I make a yellow rod using white and red 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?
Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?
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?
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 I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.
Ben has five coins in his pocket. How much money might he have?
This article for primary teachers suggests ways in which to help children become better at working systematically.
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
Can you find all the different triangles on these peg boards, and find their angles?
This challenge is about finding the difference between numbers which have the same tens digit.
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.
10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
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....?
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .
Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.
What is the smallest number of coins needed to make up 12 dollars and 83 cents?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?
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 put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
What happens when you try and fit the triomino pieces into these two grids?
Can you cover the camel with these pieces?
Find your way through the grid starting at 2 and following these operations. What number do you end on?
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?