Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?
Ben is planting garlic. Can you use the information to work out how many garlic cloves he has planted?
Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
Can you decide whose drink has the strongest blackcurrant flavour from these pictures?
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 split each of the shapes below in half so that the two parts are exactly the same?
How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?
This problem is designed to help children to learn, and to use, the two and three times tables.
In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
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?
Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
Can you find different ways of showing the same fraction? Try this matching game and see.
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.
"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?
Can you complete this jigsaw of the multiplication square?
Can you put the numbers in the correct place in this Carroll diagram?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Can you each work out the number on your card? What do you notice? How could you sort the cards?
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
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?
There are nasty versions of this dice game but we'll start with the nice ones...
This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.
Where can you draw a line on a clock face so that the numbers on both sides have the same total?
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?
These clocks have been reflected in a mirror. What times do they say?
These clocks have only one hand, but can you work out what time they are showing from the information?
How many centimetres of rope will I need to make another mat just like the one I have here?
On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.
Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
Can you describe the journey to each of the six places on these maps? How would you turn at each junction?
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
This problem explores the shapes and symmetries in some national flags.
How many tiles could you use to cover this 10 by 10 patio?
This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?
What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?
Here are the top ten medal winners in the 2012 Olympic Games. How do you think the positions were decided?