4037/12

Additional Mathematics 4037/12May/June 2018

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

12
questions
80
marks
120
minutes

Topics Logarithmic and exponential functions · Trigonometry · Quadratic functions · Calculus · [Legacy] Indices and surds · Simultaneous equations · +2 more

Q1TrigonometryFree sample

It is given that y=1+tan3xy = 1 + \tan 3x.

(i)

State the period of yy.

1M
(ii)

On the axes below, sketch the graph of y=1+tan3xy = 1 + \tan 3x for 0°x°180°0° \leq x° \leq 180°.

3M

The rest of this paper

11 more questions
  • Q2Quadratic functions · Simultaneous equations5M
  • Q3Logarithmic and exponential functions · Straight-line graphs5M
  • Q4Logarithmic and exponential functions · Calculus7M
  • Q5Series6M
  • Q6Calculus6M
  • Q7Logarithmic and exponential functions5M
  • Q8Trigonometry8M
  • Q9Logarithmic and exponential functions · Quadratic functions9M
  • Q10[Legacy] Indices and surds · Trigonometry8M
  • Q11Calculus10M
  • Q12[Legacy] Indices and surds · Quadratic functions7M
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