Santa’s secret is that he can get your class to revise harder topics – without them realising!

**Equipment**

- Download the worksheet (optional)
- Paper & pen
- Calculator
- Paper chains (optional)

**Activity**

Paper chains are made from equally sized strips of paper. Each loop is made from a strip of paper, which has one end glued to the other.

**Question 1**

How many 3cm by 18cm strips of paper can you cut from a sheet of A4 paper? Remember, each strip is made from one complete piece of paper.

**Question 2**

If each strip has an overlap of 1cm, what is the circumference of the loop made? What is the diameter?

**Question 3**

When two loops are attached there is an overlap of 0.5cm. How long would a chain of 12 loops be?

*Hint: two loops with diameter 4cm would have a combined length of (4+4-0.5)cm = 7.5cm.*

**Question 4**

A room has dimensions 5m by 7m. How far is it diagonally across the room?

**Question 5**

How many loops would a paper chain have if it reached diagonally across the room?

**Extension**

To make the chain hang in U shape, rather than stretching flat across the ceiling, 5 extra loops are added per whole metre of chain. How long would the chain diagonally across the room be? How many loops?

**Challenge**

How many sheets of paper would be required to make enough paper chain to hang in a U shape joining every corner of the room?