There were 22 legs creeping across the web. How many flies? How many spiders?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
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?
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.
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?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
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.
Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?
Can you go from A to Z right through the alphabet in the hexagonal maze?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
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?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?
Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?
Can you use the information to find out which cards I have used?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Use these four dominoes to make a square that has the same number of dots on each side.
Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Use the information to work out how many gifts there are in each pile.
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
During the third hour after midnight the hands on a clock point in the same direction (so one hand is over the top of the other). At what time, to the nearest second, does this happen?
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?
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
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?
You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
The discs for this game are kept in a flat square box with a square hole for each disc. Use the information to find out how many discs of each colour there are in the box.
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
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?
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).
Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had.
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
Find another number that is one short of a square number and when you double it and add 1, the result is also a square number.
Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes).
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.
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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
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.
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
Sam sets up displays of cat food in his shop in triangular stacks. If Felix buys some, then how can Sam arrange the remaining cans in triangular stacks?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?