3.1 Without using a calculator, determine the value of: $$\frac{10}{y^2 - 2} + \frac{10}{y - 1}$$ 3.2 A steel pavilion at a sports ground comprises of a series of 12 steps, of which the first 3 are shown in the diagram below - NSC Mathematics - Question 4 - 2019 - Paper 1

The dimensions of the steps are as follows:

• Each step is 5 m wide.
• Each step has a rise of (\frac{1}{3}) m and a tread of (\frac{2}{3}) m.

Since there are 12 steps, the total rise is calculated as:

$\text{Total Rise} = 12 \times \frac{1}{3} = 4 \, m$

To cover the open sides, we need to calculate the area:

• The width (depth) of one side remains 5 m.
• Height covering both sides will then be equal to the total rise from the steps.

The total area covered on one side is:

$\text{Area of one side} = \text{Height} \times \text{Width} = 4 \, m \times 5 \, m = 20 \, m^2$

Since there are two open sides, the total area required is:

$\text{Total Area} = 2 \times 20 \, m^2 = 40 \, m^2$