Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?
Dotty Six is a simple dice game that you can adapt in many ways.
How would you count the number of fingers in these pictures?
How can we help students make sense of addition and subtraction of negative numbers?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
There are nasty versions of this dice game but we'll start with the nice ones...
In this game, you can add, subtract, multiply or divide the numbers
on the dice. Which will you do so that you get to the end of the
number line first?
Fill in the numbers to make the sum of each row, column and
diagonal equal to 34. For an extra challenge try the huge American
Flag magic square.
What do the digits in the number fifteen add up to? How many other
numbers have digits with the same total but no zeros?
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
This project challenges you to work out the number of cubes hidden
under a cloth. What questions would you like to ask?
Find the sum of all three-digit numbers each of whose digits is
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?
If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Explore Alex's number plumber. What questions would you like to
ask? Don't forget to keep visiting NRICH projects site for the
latest developments and questions.
Can you design a new shape for the twenty-eight squares and arrange
the numbers in a logical way? What patterns do you notice?
Susie took cherries out of a bowl by following a certain pattern.
How many cherries had there been in the bowl to start with if she
was left with 14 single ones?
This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
Can you substitute numbers for the letters in these sums?
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?
Cassandra, David and Lachlan are brothers and sisters. They range
in age between 1 year and 14 years. Can you figure out their exact
ages from the clues?
Can you draw a continuous line through 16 numbers on this grid so
that the total of the numbers you pass through is as high as
Using 3 rods of integer lengths, none longer than 10 units and not
using any rod more than once, you can measure all the lengths in
whole units from 1 to 10 units. How many ways can you do this?
Mrs Morgan, the class's teacher, pinned numbers onto the backs of
three children. Use the information to find out what the three
The Scot, John Napier, invented these strips about 400 years ago to
help calculate multiplication and division. Can you work out how to
use Napier's bones to find the answer to these multiplications?
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.
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
Place the digits 1 to 9 into the circles so that each side of the
triangle adds to the same total.
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
Arrange three 1s, three 2s and three 3s in this square so that
every row, column and diagonal adds to the same total.
Find out what a Deca Tree is and then work out how many leaves
there will be after the woodcutter has cut off a trunk, a branch, a
twig and a leaf.
In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
Well now, what would happen if we lost all the nines in our number
system? Have a go at writing the numbers out in this way and have a
look at the multiplications table.
Tell your friends that you have a strange calculator that turns
numbers backwards. What secret number do you have to enter to make
141 414 turn around?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
What is the sum of all the three digit whole numbers?
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
Find a great variety of ways of asking questions which make 8.
Use the 'double-3 down' dominoes to make a square so that each side
has eight dots.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Can you follow the rule to decode the messages?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
If each of these three shapes has a value, can you find the totals
of the combinations? Perhaps you can use the shapes to make the
Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?
The picture shows a lighthouse and many underwater creatures. If
you know the markings on the lighthouse are 1m apart, can you work
out the distances between some of the different creatures?
Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?