Can you find any two-digit numbers that satisfy all of these statements?

Find as many different ways of representing this number of dots as you can.

How would you put these journey lengths in order? Give a bit of a place value challenge with subtractions set out not as a calculation.

This task gives an opportunity to perform some subtractions in a slightly realistic situation.

How do you know whether you will reach these numbers when you count in steps of six from zero?

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

Four strategy dice games to consolidate pupils' understanding of rounding.

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

How many possible necklaces can you find? And how do you know you've found them all?

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?

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

This interactivity allows you to sort logic blocks by dragging their images.

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?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

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.

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

There are nasty versions of this dice game but we'll start with the nice ones...

Play this game and see if you can figure out the computer's chosen number.

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?

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?

Can you complete this jigsaw of the multiplication square?

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

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?

Use the clues about the symmetrical properties of these letters to place them on the grid.

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Using the picture of the fraction wall, can you find equivalent fractions?

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

How many different triangles can you make on a circular pegboard that has nine pegs?

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?

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.

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

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.

Systematically explore the range of symmetric designs that can be created by shading parts of the motif below. Use normal square lattice paper to record your results.

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

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 dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

A task which depends on members of the group noticing the needs of others and responding.

Can you place the blocks so that you see the reflection in the picture?

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?