CIE May 2021 9709 Pure Maths Paper 23


This is part of a collection of videos showing step-by-step solutions for CIE A-Level Mathematics past papers.

This page covers Questions and Worked Solutions for CIE Pure Maths Paper 2 May/June 2021, 9709/23.

Related Pages
More A Levels Past Papers




Share this page to Google Classroom

CIE May/June 2021 9709 Pure Maths Paper 23 (pdf)

  1. (a) Solve the equation ln(2 + x) − ln x = 2 ln 3
  2. The solutions of the equation 5|x| = 5 − 2x are x = a and x = b, where a < b.
  3. Solve the equation sin(2θ + 30°) = 5 cos(2θ + 60°) for 0° < θ < 180°
  4. (a) Find the exact value of
  5. (a) Find the quotient when x4 − 32x + 55 is divided by (x − 2)2 and show that the remainder is 7
  6. The diagram shows the curve with equation
    y = (ln x)2 − 2 ln 7.
  7. The diagram shows the curve with parametric equations x = 4t + e2t, y = 6tsin 2t



Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.