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.
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?
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
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?
Number problems at primary level that require careful consideration.
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?
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
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
There are nasty versions of this dice game but we'll start with the nice ones...
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
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.
Try adding together the dates of all the days in one week. Now
multiply the first date by 7 and add 21. Can you explain what
There are three buckets each of which holds a maximum of 5 litres.
Use the clues to work out how much liquid there is in each bucket.
Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?
Use the number weights to find different ways of balancing the equaliser.
On the table there is a pile of oranges and lemons that weighs
exactly one kilogram. Using the information, can you work out how
many lemons there are?
Rocco ran in a 200 m race for his class. Use the information to
find out how many runners there were in the race and what Rocco's
finishing position was.
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?
On a calculator, make 15 by using only the 2 key and any of the
four operations keys. How many ways can you find to do it?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.
Peter, Melanie, Amil and Jack received a total of 38 chocolate
eggs. Use the information to work out how many eggs each person
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.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
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?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.
Fill in the numbers to make the sum of each row, column and
diagonal equal to 15.
On Planet Plex, there are only 6 hours in the day. Can you answer
these questions about how Arog the Alien spends his day?
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
How would you count the number of fingers in these pictures?
What do the digits in the number fifteen add up to? How many other
numbers have digits with the same total but no zeros?
Who said that adding couldn't be fun?
Number problems at primary level that may require determination.
Number problems at primary level to work on with others.
Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .
Can you hang weights in the right place to make the equaliser
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
Use your logical reasoning to work out how many cows and how many
sheep there are in each field.
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?
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
Sam got into an elevator. He went down five floors, up six floors, down seven floors, then got out on the second floor. On what floor did he get on?
Annie cut this numbered cake into 3 pieces with 3 cuts so that the
numbers on each piece added to the same total. Where were the cuts
and what fraction of the whole cake was each piece?
Complete these two jigsaws then put one on top of the other. What
happens when you add the 'touching' numbers? What happens when you
change the position of the jigsaws?
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
Find the next number in this pattern: 3, 7, 19, 55 ...