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

Bryony's triangle
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?

Discuss and choose
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.

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

Let us divide!
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?

How big are classes 5, 6 and 7?
Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

Seeing squares
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Carrying cards
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?

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

Seeing parallelograms
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

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

Digit discovery
Here is an interesting property about two sets of digits. Can you work out what the digits might be?

Shape times shape
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?


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

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

Four triangles puzzle
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?

What shape?
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.

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

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

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

Multiples grid
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?

Eight hidden squares
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?

Table patterns go wild!
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.

Chocolate
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?

Fractions in a box
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.

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