How would you move the bands on the pegboard to alter these shapes?

This interactivity allows you to sort logic blocks by dragging their images.

What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

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?

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

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

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?

Find out what a "fault-free" rectangle is and try to make some of your own.

Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?

An activity making various patterns with 2 x 1 rectangular tiles.

This activity challenges you to make collections of shapes. Can you give your collection a name?

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?