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.
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.
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.
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?
Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.
Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.
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?
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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?
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.
Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
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.
Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?
Explore the different snakes that can be made using 5 cubes.
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?
Find out about Magic Squares in this article written for students. Why are they magic?!
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?
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 challenging activity focusing on finding all possible ways of stacking rods.
These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach.
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.
How many different shapes can you make by putting four right- angled isosceles triangles together?
This challenge extends the Plants investigation so now four or more children are involved.
There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
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.
These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
A Sudoku with clues given as sums of entries.
El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?
Find out what a "fault-free" rectangle is and try to make some of your own.
60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?
Can you find all the different triangles on these peg boards, and find their angles?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.
Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.
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?
My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?
Imagine that the puzzle pieces of a jigsaw are roughly a rectangular shape and all the same size. How many different puzzle pieces could there be?
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 different triangles can you draw on the dotty grid which each have one dot in the middle?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.
How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
A merchant brings four bars of gold to a jeweller. How can the jeweller use the scales just twice to identify the lighter, fake bar?