01 / QUICK RECAP
Connect the ideas.
- A vector has both magnitude and direction; its starting point is irrelevant unless it is a position vector.
- Components describe directed changes, so subtraction must preserve their signs.
- For non-zero vectors, dot products give angles, perpendicularity and projections.
- A geometric proof must identify the vectors and justify its conclusion, not just show a diagram.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Vectors in two dimensions — Practice test 1
Build from components and direction to projections and a geometric proof.
10 questions · 46 marks · 65 minutes · Scientific calculatorVectors in two dimensions — Practice test 2
Use unknown components, coordinate data and direction tests to justify decisions.
10 questions · 48 marks · 65 minutes · Scientific calculatorVectors in two dimensions — Practice test 3
Connect exact values, projections and geometric structure, with a short proof to finish.
10 questions · 52 marks · 70 minutes · Scientific calculatorVectors in two dimensions — Practice test 4
Apply vectors to routes, forces and geometric decisions; distinguish a calculation from its interpretation.
10 questions · 54 marks · 70 minutes · Scientific calculatorVectors in two dimensions — Practice test 5
A more demanding synthesis paper combining unknowns, modelling, projections and general proofs.
10 questions · 61 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 1 Mathematics: vectors in the plane. Covers magnitude, components, geometry, scalar products, projections and proofs; follows the approved Specialist preparation structure.
Official curriculum source ↗