4037/13

Additional Mathematics 4037/13October/November 2013

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

11
questions
80
marks
120
minutes

Topics Calculus · Logarithmic and exponential functions · Trigonometry · Series · Functions · [Legacy] Matrices · +3 more

Q1SeriesFree sample

The coefficient of x2x^2 in the expansion of (2+px)6(2 + px)^6 is 60.

(i)

Find the value of the positive constant pp.

3M
(ii)

Using your value of pp, find the coefficient of x2x^2 in the expansion of (3x)(2+px)6(3 - x)(2 + px)^6.

3M

The rest of this paper

10 more questions
  • Q2Logarithmic and exponential functions5M
  • Q3Trigonometry4M
  • Q4Calculus6M
  • Q5Functions · Calculus6M
  • Q6Calculus6M
  • Q7[Legacy] Matrices8M
  • Q8Circular measure9M
  • Q9Trigonometry11M
  • Q10Straight-line graphs · Logarithmic and exponential functions10M
  • Q11Calculus · Logarithmic and exponential functions · Quadratic functions9M
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