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9709/31

Mathematics 9709/31 — May/June 2014

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

10
questions
75
marks
105
minutes

Topics Trigonometry · Differentiation · Algebra · Integration · Differential Equations · Complex Numbers · +3 more

Q1TrigonometryFree sample
(i)

Simplify sin⁡2αsec⁡α\sin 2\alpha \sec \alpha.

2M
(ii)

Given that 3cos⁡2β+7cos⁡β=03 \cos 2\beta + 7 \cos \beta = 0, find the exact value of cos⁡β\cos \beta.

3M

The rest of this paper

9 more questions
  • Q2Integration5M
  • Q3Differentiation6M
  • Q4Differential Equations6M
  • Q5Complex Numbers8M
  • Q6Logarithmic and Exponential Functions · Algebra8M
  • Q7Vectors8M
  • Q8Trigonometry · Numerical Solution of Equations9M
  • Q9Algebra10M
  • Q10Differentiation10M
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