**Paper Details:**

Question 1

A wire is 100cm long and is cut into two portions. Each portion is used to form an equilateral triangle and a circle. What are the maximum and minimum combined areas of the two shapes.

Question 2

Determine the approximate values of x at t = 0.5 and 2.5 of the following differential equation using Euler and a spreadsheet: ????=?2+??−? ???ℎ ?(0.1)= −1

Question 3

A ladder 3.75 metres long leans up against a perpendicular wall and just touches the outer top edge of a cubic packing case pushed up close to the wall (see Figure 1). How far up the wall is the top of the ladder?

Figure 1

3.75m

0.5m

0.5m

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