In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Fill in the missing numbers so that adding each pair of corner
numbers gives you the number between them (in the box).
Claire thinks she has the most sports cards in her album. "I have
12 pages with 2 cards on each page", says Claire. Ross counts his
cards. "No! I have 3 cards on each of my pages and there are. . . .
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
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
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.
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?
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?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
There were 22 legs creeping across the web. How many flies? How many spiders?
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.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
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?
Number problems at primary level that may require determination.
Peter, Melanie, Amil and Jack received a total of 38 chocolate
eggs. Use the information to work out how many eggs each person
If the numbers 5, 7 and 4 go into this function machine, what
numbers will come out?
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
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.
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.
Use your logical reasoning to work out how many cows and how many
sheep there are in each field.
Fill in the numbers to make the sum of each row, column and
diagonal equal to 15.
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
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
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?
A game for 2 people using a pack of cards Turn over 2 cards and try
to make an odd number or a multiple of 3.
Can you work out how many flowers there will be on the Amazing Splitting Plant after it has been growing for six weeks?
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?
Can you score 100 by throwing rings on this board? Is there more
than way to do it?
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?
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?
What is happening at each box in these machines?
Where can you draw a line on a clock face so that the numbers on
both sides have the same total?
Mrs Morgan, the class's teacher, pinned numbers onto the backs of
three children. Use the information to find out what the three
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
Investigate what happens when you add house numbers along a street
in different ways.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Number problems at primary level that require careful consideration.
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.
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.
This is an adding game for two players.
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?
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?
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?
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?