Being resourceful - Primary geometry

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

What patterns can you make with a set of dominoes?

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Can you sort these triangles into three different families and explain how you did it?

How many different triangles can you draw which each have one dot in the middle?

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Can you design your own version of the Olympic rings, using interlocking squares instead of circles?

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

Complete the squares - but be warned some are trickier than they look!

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

This problem shows that the external angles of an irregular hexagon add to a circle.

Use the information on these cards to draw the shape that is being described.

Are these statements always true, sometimes true or never true?

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?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

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

Ayah conjectures that the diagonals of a square meet at right angles. Do you agree? How could you find out?

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?

What can you see? What do you notice? What questions can you ask?

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?