Caroline has 56 match sticks.

She uses 6 match sticks to make two small triangles.
 

 
What is the largest number of small triangles like this that Caroline can make with her 56 match sticks?

Pablo makes a sculpture using identical cubes.

There were four cubes in the bottom two rows.
 

 
How many cubes did Pablo put in the top two rows altogether?

Goliath places dice on the table so that they make the pattern below.
 

 
Which of these, when repeated, will make the pattern?

Adam is making a pattern with black and white triangular tiles as shown below.
 

 
At each stage, tiles are added to edges that don't already have a tiles on them.

What is the total number of tiles needed for Pattern 5?

Rob uses sticks to make a pattern.

He starts with 3 sticks for Design 1.
 

 
How many sticks does Rob need for Design 5?