Additional Mathematics 4037/11 — May/June 2015

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

questions

marks

120

minutes

Topics Trigonometry · Straight-line graphs · Calculus · Logarithmic and exponential functions · [Legacy] Indices and surds · Series · +6 more

Q1TrigonometryFree sample

(i)

State the period of $\sin 2x$ .

(ii)

State the amplitude of $1 + 2\cos 3x$ .

(iii)

On the axes below, sketch the graph of

(a)

$y = \sin 2x$ for $0^\circ \leq x \leq 180^\circ$ ,

(b)

$y = 1 + 2\cos 3x$ for $0^\circ \leq x \leq 180^\circ$ .

Fig. 1

(iv)

State the number of solutions of $\sin 2x - 2\cos 3x = 1$ for $0^\circ \leq x \leq 180^\circ$ .

The rest of this paper

9 more questions

Q2[Legacy] Indices and surds · Trigonometry5M
Q3Series6M
Q4[Legacy] Matrices5M
Q5Simultaneous equations · Straight-line graphs8M
Q6Factors of polynomials · Quadratic functions8M
Q7Calculus · Logarithmic and exponential functions · Straight-line graphs · Coordinate geometry of the circle9M
Q8Functions · Logarithmic and exponential functions · Calculus11M
Q9Calculus · Straight-line graphs10M
Q10Trigonometry12M

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