2025 MGS(S) PRELIMS P1 Q25

An enrichment centre offers Basic and Advanced programming lessons on weekdays and weekends. Each student attends 4 weekly lessons per month. The table shows the numbers of students attending weekly lessons.

This information is represented by \(T=\begin{pmatrix}18&9\\15&13\end{pmatrix}\).

1. Evaluate \(W=4T\).[1]
2. The centre charges $60 per Basic lesson and $110 per Advanced lesson. The charges are represented by \(N=\begin{pmatrix}60\\110\end{pmatrix}\).
   1. Find \(WN\).[1]
   2. Explain what the elements in \(WN\) represent.[1]
3. The charges for both lesson types increase by 7%, while attendance remains unchanged. Calculate the total amount collected monthly after the increase.[2]