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CAIE A Level Mathematics 9709

Quadratics questions

Exam-style questions on Quadratics, ordered from foundation to challenge. Pick one, write your answer the way you would in the exam, and it comes back marked against the mark scheme, point by point.

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Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.

  1. 3 marksFoundationConsider the quadratic expression x^2 + 4x - 18.
  2. 2 marksFoundationConsider the quadratic equation 4x^2 + 3x + 2 = 0.
  3. 3 marksStandardSolve the inequality (x + 3)(x - 2) < 0.
  4. 3 marksStandardThe quadratic equation x^2 + 6x + (k - 3) = 0 has equal roots. Find the value of k.
  5. 2 marksStandardThe curve y = 3(x + 4)^2 + 4 is a parabola.
  6. 3 marksStandardThe curve has equation y = x^2 - 8x + 5.
  7. 3 marksStandardA quadratic equation is given by x^2 + 4x + k = 0, where b is a constant.