Maths MaestriGrade 12 · Mathematics Paper 1

Gr 12 Maths — Prelim 1 (P1)

Practise the full Grade 12 Paper 1 Preliminary exam — 45 questions covering all topics. Work through it like a real exam and use the calculator for numerical questions.

What this quiz covers

Grade 12 Maths Prelim 1 (P1) draws its questions at random from a bank of 45 questions. A full worked solution is shown after you answer each one.

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. Q1.1.1 — Solve for \(x\):\[\dfrac{1}{2}x^2 - x - 4 = 0\]
  2. Q1.1.2 — Solve for \(x\) (correct to two decimal places):\[-3(x^2 + 3x) + 7 = 0\]
  3. Q1.1.3 — Solve for \(x\):\[x(2x - 3) < 0\]
  4. Q1.2 — Solve simultaneously:\[y = 2x - 3 \quad \text{and} \quad x^2 + xy + y^2 = 7\]
  5. Q1.3 — Show that \(f(x) = \dfrac{1}{2}x^2 + (k-5)x + (k+1)\) has real roots for all values of \(k\). Choose the statement that completes the proof.