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?
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.
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?
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.
The NRICH team are always looking for new ways to engage teachers
and pupils in problem solving. Here we explain the thinking behind
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
A package contains a set of resources designed to develop
students’ mathematical thinking. This package places a
particular emphasis on “being systematic” and is
designed to meet. . . .
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?
Only one side of a two-slice toaster is working. What is the
quickest way to toast both sides of three slices of bread?
This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
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.
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 the numbers 1 to 8 in the circles so that no consecutive
numbers are joined by a line.
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.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Use the clues to work out which cities Mohamed, Sheng, Tanya and
Bharat live in.
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Use the information to describe these marbles. What colours must be
on marbles that sparkle when rolling but are dark inside?
Make a pair of cubes that can be moved to show all the days of the
month from the 1st to the 31st.
This challenge is about finding the difference between numbers which have the same tens digit.
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
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?
How many ways can you find to do up all four buttons on my coat?
How about if I had five buttons? Six ...?
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.
Try this matching game which will help you recognise different ways of saying the same time interval.
Find out what a "fault-free" rectangle is and try to make some of
How many trains can you make which are the same length as Matt's, using rods that are identical?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
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?
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
If these elves wear a different outfit every day for as many days
as possible, how many days can their fun last?
In this matching game, you have to decide how long different events take.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Penta people, the Pentominoes, always build their houses from five
square rooms. I wonder how many different Penta homes you can
Can you find the chosen number from the grid using the clues?
There are to be 6 homes built on a new development site. They could
be semi-detached, detached or terraced houses. How many different
combinations of these can you find?
Winifred Wytsh bought a box each of jelly babies, milk jelly bears,
yellow jelly bees and jelly belly beans. In how many different ways
could she make a jolly jelly feast with 32 legs?
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?
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
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?
A challenging activity focusing on finding all possible ways of stacking rods.
Chandra, Jane, Terry and Harry ordered their lunches from the
sandwich shop. Use the information below to find out who ordered
Ana and Ross looked in a trunk in the attic. They found old cloaks
and gowns, hats and masks. How many possible costumes could they
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?
What is the date in February 2002 where the 8 digits are
palindromic if the date is written in the British way?