Algebra — Standard 2 Practice Questions

MS-A1

Formulae and Equations

Use algebraic expressions and formulae to model and solve practical problems, including substitution, rearranging and solving equations.

Sample questions

1.Given F = ma, find a when F = 36 and m = 4.5.
2.Rearrange v = u + at to make t the subject.
3.A car travels at 80 km/h. Write a formula for distance d, then find d after 2.5 hours.

Exam weighting

Consistent presence in Section I and Section II — expect 2–4 marks on substitution and rearranging.

Common student mistakes

MS-A2

Construct and interpret straight-line graphs to model and solve practical problems, including gradient and intercepts.

Sample questions

1.A plumber charges a call-out fee plus an hourly rate. Graph the cost for 0–5 hours and find when two plumbers charge the same amount.
2.Find the gradient and y-intercept of 3x − 2y = 6.

Exam weighting

Typically 3–6 marks — graphing, gradient interpretation, and intersection problems.

Common student mistakes

MS-A4

Model and solve problems using exponential and reciprocal functions and their graphs; identify key features.

Sample questions

1.A population doubles every 3 years. Write an equation and find the population after 12 years.
2.Sketch y = 2^x for x = −2 to x = 3, labelling all key features.

Exam weighting

2–3 marks — identifying graph type, key features, and basic modelling.

Common student mistakes

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