HSC Maths Standard 1 exam 2026Exam: Mon 19 Oct · NESA timetable

• Cost: $C = \text{fixed costs} + \text{cost per item} \times n$.
• Income (revenue): $I = \text{price} \times n$.
• Break-even point: where $I = C$ (profit is zero).
• Profit zone: $I > C$ (to the right of the break-even point).
• Loss zone: $I < C$ (to the left).
• Profit $= I - C$.

Interest-free period: no interest on purchases if the full closing balance is paid by the due date.

• Share: part-ownership of a company, bought at the market price.
• Dividend: a payment to shareholders, usually per share.
• Dividend yield $= \frac{\text{dividend per share}}{\text{share price}} \times 100\%$.
• Shares can rise or fall in value and dividends are not guaranteed; brokerage fees may apply.

• km/h to m/s: divide by 3.6.
• m/s to km/h: multiply by 3.6.
• Distance = speed × time; time = distance ÷ speed.

1. Convert plan measurements to real lengths.
2. Convert to the units needed (m for m², m³).
3. Split composite areas into rectangles and triangles, or use the trapezoidal rule for curved or irregular edges.
4. Volume = area of cross-section × depth (for slabs, pools).

• Finding a side: write the ratio, substitute, rearrange.
• Finding an angle: calculate the ratio, then use the inverse key ($\sin^{-1}$, $\cos^{-1}$, $\tan^{-1}$).
• Calculator in degree mode.

A spanning tree of a connected network with $n$ vertices always has exactly $n - 1$ edges.

• The shortest path minimises total weight, not the number of edges.
• There may be more than one shortest path.
• The weight can be distance, time or cost, so the "shortest" route depends on what is measured.

Clear, simple language, one idea per question.

• Form: linear or non-linear.
• Direction: positive, negative or no association.
• Strength: strong (points close to a line), moderate, or weak.
• Mention any outliers.