What this quiz covers

Grade 12 Exam Revision Quiz draws its questions at random from 46 questions across these topics:

• Algebra: quadratic equations
• Algebra: quadratic formula
• Algebra: quadratic inequalities
• Algebra: surd equations
• Algebra: simplifying surds
• Algebra: exponential equations
• Algebra: nature of roots
• Sequences: arithmetic
• Sequences: arithmetic series
• Sequences: geometric
• Sequences: sum to infinity
• Sequences: sigma notation
• Sequences: finding a term
• Sequences: quadratic pattern
• Functions: parabola turning point
• Functions: x-intercepts
• Functions: range of a parabola
• Functions: hyperbola asymptotes
• Functions: exponential graph
• Functions: inverse of a line
• Functions: inverse of an exponential
• Functions: transformations
• Finance: compound interest
• Finance: depreciation
• Finance: effective rate
• Finance: future value annuity
• Finance: doubling time
• Finance: quarterly compounding
• Calculus: first principles
• Calculus: power rule
• Calculus: derivative of a root
• Calculus: gradient of a tangent
• Calculus: stationary points
• Calculus: turning points of a cubic
• Calculus: point of inflection
• Calculus: optimisation
• Calculus: rate of change
• Probability: mutually exclusive
• Probability: independent events
• Probability: inclusive events
• Counting: arrangements
• Counting: with repetition
• Counting: fundamental counting principle
• Counting: restricted arrangements
• Probability: without replacement

Example questions

A sample of the questions you will practise in this quiz. Work them out yourself - the full solution appears after you answer each one.

1. Solve for \(x\): \(x^{2} - 5x - 6 = 0\)
2. Solve for \(x\), correct to TWO decimal places: \(2x^{2} - 4x - 3 = 0\)
3. Solve for \(x\): \(x^{2} - 2x - 15 \leq 0\)
4. Solve for \(x\): \(\sqrt{x + 7} = x + 1\)
5. Simplify: \(\sqrt{48} - \sqrt{12}\)