# 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.

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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

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