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Mathematics 9709/32 — February/March 2019

Cambridge A-Level · Pure Mathematics 3 · worked solutions for every part, with the mark scheme

10
questions
75
marks
105
minutes

Topics Trigonometry · Integration · Differentiation · Logarithmic and Exponential Functions · Numerical Solution of Equations · Differential Equations · +3 more

Q1Logarithmic and Exponential FunctionsFree sample
(i)

Show that the equation log⁡10(x−4)=2−log⁡10x\log_{10}(x - 4) = 2 - \log_{10} x can be written as a quadratic equation in xx.

3M
(ii)

Hence solve the equation log⁡10(x−4)=2−log⁡10x\log_{10}(x - 4) = 2 - \log_{10} x, giving your answer correct to 3 significant figures.

2M

The rest of this paper

9 more questions
  • Q2Numerical Solution of Equations5M
  • Q3Trigonometry6M
  • Q4Integration5M
  • Q5Differentiation · Trigonometry5M
  • Q6Differential Equations7M
  • Q7Complex Numbers10M
  • Q8Algebra10M
  • Q9Vectors10M
  • Q10Integration · Differentiation12M
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