Homes

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

Stairs

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

Let's Investigate Triangles

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?

Four Colours

Stage: 1 Challenge Level:

Why do this problem?

This problem can be very engaging. It has the ability to introduce pupils to some logical reasoning as well as being solvable by trial and improvement.

Possible approach

You could put the eight cubes together to make a large cube without there being one of each colour on each face. Invite children to talk about what they see and then introduce them to the challenge.

Key questions

How are you trying to solve this?

Have you checked each face has one of each colour cube?

Possible support

Having a collection of coloured cubes available will help all children have a go at this problem.

Visualising. Working systematically. Combinations. Addition & subtraction. Interactivities. Tangram. Trial and improvement. Investigations. Interlocking cubes. Practical Activity.

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