Try this matching game which will help you recognise different ways of saying the same time interval.
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.
How long does it take to brush your teeth? Can you find the matching length of time?
A Sudoku with clues given as sums of entries.
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 arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?
Have a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
Stuart's watch loses two minutes every hour. Adam's watch gains one minute every hour. Use the information to work out what time (the real time) they arrived at the airport.
My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
Find out about Magic Squares in this article written for students. Why are they magic?!
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?
How will you go about finding all the jigsaw pieces that have one peg and one hole?
The NRICH team are always looking for new ways to engage teachers and pupils in problem solving. Here we explain the thinking behind maths trails.
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.
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.
What is the best way to shunt these carriages so that each train can continue its journey?
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?
60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
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?
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
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?
Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?
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. . . .
This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
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?
Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?
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?
The pages of my calendar have got mixed up. Can you sort them out?
This task encourages you to investigate the number of edging pieces and panes in different sized windows.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Find your way through the grid starting at 2 and following these operations. What number do you end on?
How many different rectangles can you make using this set of rods?