Find a great variety of ways of asking questions which make 8.
This number has 903 digits. What is the sum of all 903 digits?
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
Use your logical reasoning to work out how many cows and how many sheep there are in each field.
Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).
I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?
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?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
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.
Find the sum of all three-digit numbers each of whose digits is odd.
What is the sum of all the three digit whole numbers?
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 a symbol to put into the number sentence.
We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?
Number problems at primary level to work on with others.
Can you substitute numbers for the letters in these sums?
Max and Mandy put their number lines together to make a graph. How far had each of them moved along and up from 0 to get the counter to the place marked?
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
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?
Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.
Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?
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.
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
Number problems at primary level that may require resilience.
Find out about Magic Squares in this article written for students. Why are they magic?!
There are over sixty different ways of making 24 by adding, subtracting, multiplying and dividing all four numbers 4, 6, 6 and 8 (using each number only once). How many can you find?
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?
Investigate the different distances of these car journeys and find out how long they take.
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?
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 given totals?
If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?
At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?
Got It game for an adult and child. How can you play so that you know you will always win?
Ben’s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
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 possible?
Where can you draw a line on a clock face so that the numbers on both sides have the same total?
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?
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
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?
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?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match.
Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?
There were 22 legs creeping across the web. How many flies? How many spiders?
Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?