Calculate the area of a circle of radius 2cm. (pi = (22)/(7)) The area of a square of side 5cm is Approximate 589.57 to the nearest whole number.

The area of a circle $A$ is given by the formula $A = \pi r^2$, where $r$ is the radius.

Given $r = 2 \text{ cm}$ and $\pi = \frac{22}{7}$.

The final answer is $\boxed{\text{a) } 12\frac{4}{7}\text{ cm}^2}$

8. The area of a square of side 5cm is

The area of a square $A$ is given by the formula $A = s^2$, where $s$ is the side length.

Given $s = 5 \text{ cm}$.

The final answer is $\boxed{\text{b) } 25\text{ cm}^2}$

9. Approximate 589.57 to the nearest whole number.

The number is 589.57. The digit in the tenths place is 5.

If the digit in the tenths place is 5 or greater, round up the ones digit. If it is less than 5, keep the ones digit as it is. Since the tenths digit is 5, we round up the ones digit (9).
Rounding 589 up to the next whole number gives 590.

The final answer is $\boxed{\text{c) } 590.0}$

10. How many students offer both Maths and Physics but not Chemistry?

This represents students offering both subjects. This region contains the numbers 2 and 4.

The number 4 is in the intersection of all three subjects (Maths, Physics, and Chemistry).
The number 2 is in the intersection of only Maths and Physics, without overlapping with Chemistry.

The final answer is $\boxed{\text{e) } 2}$