CIE May 2021 9709 Pure Maths Paper 31

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This page covers Questions and Worked Solutions for CIE Pure Maths Paper 3 May/June 2021, 9709/31.

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CIE May 2021 9709 Pure Maths Paper 3 (pdf)

  1. Solve the inequality 2|3x − 1| < |x + 1|.
  2. Find the real root of the equation
  3. (a) Given that cos(x − 30) = 2 sin(x + 30), show that tan x =
  4. (a) Prove that
  5. (a) Solve the equation z2 − 2piz − q = 0, where p and q are real constants.
  6. The parametric equations of a curve are
  7. The diagram shows the curve y =
  8. With respect to the origin O, the points A and B have position vectors given by
  9. The equation of a curve is y = x-2/3ln x for x > 0. The curve has one stationary point.
  10. The variables x and t satisfy the differential equation

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