Going Deeper with Geometry

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

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?

Make one big triangle so the numbers that touch on the small triangles add to 10.

Can you put these shapes in order of size? Start with the smallest.

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

Can you each work out what shape you have part of on your card? What will the rest of it look like?

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

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

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?

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?

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

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?