Being resilient - 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?

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.

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?

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?

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

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

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

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 different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

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

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

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

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.

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?

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

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

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

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.

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?

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

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

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?

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?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

How many symmetric designs can you make on this grid? Can you find them all?

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

Can you find all the different triangles on these peg boards, and find their angles?

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?