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Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally. These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are? Find the product of the numbers on the routes from A to B. Which route has the smallest product? Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number.

Can you sort out the clues and find the number? Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice? This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient. Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

Can you work out how old she is? Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores. After training hard, these two children have improved their results. Can you work out the length or height of their first jumps? 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? Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time? How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number. 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?

Can you find some more abundant numbers? Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?

Can you fill in this table square? The numbers 2 were used to generate it with just one number used twice. Use 4 four times with simple operations so that you get the answer Can you make 15, 16 and 17 too? Can you work out the arrangement of the digits in the square so that the given products are correct?

The numbers 1 - 9 may be used once and once only. Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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? Think of a number, square it and subtract your starting number. How do the images help to explain this? One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers? What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

How about when a friend begins a new rhythm at the same time? 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?

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers? This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line.

Can you get four in a row? Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time? What questions would you like to ask? Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules. Different types of words can be used to make your writing more interesting and easier to read. You need to know when to use them and how to spot them. In writing, words are grouped together into phrases, sentences, clauses and paragraphs.

Linking these building blocks together in the right way makes your writing easy to understand and interesting to read. Use your knowledge of non-fiction writing to group the correct titles, text and pictures together. It can support pupils in their independent learning of spellings. This activity helps prove the rules of changing nouns from singular to plural. Input your own singular nouns and see the plural, or type in both and check that the plural is correct.

This is an activity targeted to Year 4 to help with medium frequency words. There are three lists, one for each term. This word sorting application is a simple to use grammar exercise. The blue words are simply dragged to their correct place on the table headed by the root word. When all words have been placed, the user clicks on the check button to get feedback on their selection.

Sticky Letters is a simple to use application. It can support open ended work as pupils explore the different words that can be made from a given set.

The BBC is not responsible for the content of external sites. Read about our approach to external linking. Key Stage 2 is a phase of primary education for pupils aged 7 to 11 in England and Wales.

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