2026 PHS P2 Q2

Simplify \(\left(\dfrac{z^{506}\times z^{507}}{z^0}\right)^2\).[2]

Wilfred invests $200 000 in a bank.

The bank pays compound interest at an annual rate of

\(1.2\%\) for the first year,

\(r\%\) for each subsequent year.

Given that there is a total amount of $212 646.50 in the bank at the end of 3 years, find the value of \(r\).[3]

There are only black pens, blue pens and green pens in a shop.

The ratio of the number of black pens to blue pens is \(3:4\).

The ratio of the number of blue pens to green pens is \(5:3\).

There are more than 150 pens in the shop.

What is the least possible number of green pens in the shop?[3]