4037/14

Additional Mathematics 4037/14May/June 2021

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

11
questions
80
marks
120
minutes

Topics Calculus · Trigonometry · Logarithmic and exponential functions · Circular measure · Equations, inequalities and graphs · Series · +4 more

Q1TrigonometryFree sample
(a)

On the axes below, sketch the graph of y=6cos2x1y = 6\cos 2x - 1 for 0°x360°0° \leq x \leq 360°.

3M
(b)

The graph of y=a+bsincθy = a + b\sin c\theta for 180°θ180°-180° \leq \theta \leq 180° is shown below.

Write down the value of each of the constants aa, bb and cc.

a=...........................b=...........................c=...........................a = \text{...........................} \quad b = \text{...........................} \quad c = \text{...........................}

2M

The rest of this paper

10 more questions
  • Q2Equations, inequalities and graphs5M
  • Q3Series6M
  • Q4Calculus7M
  • Q5Permutations and combinations6M
  • Q6Logarithmic and exponential functions · Simultaneous equations7M
  • Q7Calculus8M
  • Q8Factors of polynomials · Calculus8M
  • Q9[Legacy] Indices and surds · Circular measure · Trigonometry8M
  • Q10Circular measure · Calculus10M
  • Q11Calculus · Logarithmic and exponential functions10M
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