Calculate the area of a trapezium with parallel sides 0.05 m and 9 cm and height 6 cm. Also, find the total surface area and volume of a cone with slant height 13 cm and radius 5 cm.

The parallel sides are $a = 0.05 \text{ m}$ and $b = 9 \text{ cm}$. The height is $h = 6 \text{ cm}$.

The area $A$ of a trapezium is given by $A = \frac{1}{2}(a+b)h$.

b) A cone has a slant height of $13 \text{ cm}$ with a radius of $5 \text{ cm}$ for its circular base. Calculate:
i. Total surface area
ii. Volume

Given: Slant height $l = 13 \text{ cm}$, radius $r = 5 \text{ cm}$. Use $\pi = \frac{22}{7}$.

i. Total surface area

The total surface area $A_{total}$ of a cone is given by $A_{total} = \pi r (r+l)$.

ii. Volume

The volume $V$ of a cone is given by $V = \frac{1}{3}\pi r^2 h$.

c) Calculate the volume of the cylinder whose height is $7 \text{ cm}$ and a diameter of $28 \text{ cm}$.

Given: Height $h = 7 \text{ cm}$, diameter $D = 28 \text{ cm}$. Use $\pi = \frac{22}{7}$.

The volume $V$ of a cylinder is given by $V = \pi r^2 h$.

d) Solve the following simultaneous equation using the elimination method.

Since $0=9$ is a false statement, the system of equations is inconsistent. This means there is no solution that satisfies both equations simultaneously.
The system has $\boxed{\text{no solution}}$.