Geometry Application : The number of diagonals of an n-sided figure is (n² –3n).

Use the formula to find the number of diagonals for a 6-sided figure (hexagon).

If 2^{n + 2} – 2^{n + 1} + 2ⁿ = c × 2ⁿ, find the value of c.

A light year is the distance that light can travel in one year.

1 light year = 9,460,000,000,000 km.

(a) Express one light year in scientific notation.

(b) The average distance between Earth and Sun is 1.496 × 10⁸ km. Is the distance between Earth and the Sun greater than, less than or equal to one light year?

Life Science : Bacteria can divide in every 20 minutes. So 1 bacterium can multiply to 2 in 20 minutes. 4 in 40 minutes, and so on. How many bacteria will there be in 6 hours? Write your answer using exponents, and then evaluate.

Blubber makes up 27 per cent of a blue whale’s body weight. Deepak found the average weight of blue whales and used it to calculate the average weight of their blubber. He wrote the amount as 2² × 3² × 5 × 17 kg. Evaluate this amount.