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9709/23

Mathematics 9709/23 — October/November 2018

Cambridge AS Level · Pure Mathematics 2 · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Algebra · Logarithmic and Exponential Functions · Integration · Trigonometry · Numerical Solution of Equations · Differentiation

Q1AlgebraLogarithmic and Exponential FunctionsFree sample
(i)

Solve the equation ∣9x−2∣=∣3x+2∣|9x - 2| = |3x + 2|.

3M
(ii)

Hence, using logarithms, solve the equation ∣3y+2−2∣=∣3y+1+2∣|3^{y+2} - 2| = |3^{y+1} + 2|, giving your answer correct to 3 significant figures.

2M

The rest of this paper

6 more questions
  • Q2Integration · Logarithmic and Exponential Functions5M
  • Q3Trigonometry5M
  • Q4Algebra · Numerical Solution of Equations8M
  • Q5Differentiation9M
  • Q6Integration8M
  • Q7Differentiation · Trigonometry · Numerical Solution of Equations10M
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