Additional Mathematics 4037/12 — October/November 2021

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

questions

marks

120

minutes

Topics Trigonometry · Calculus · Factors of polynomials · Logarithmic and exponential functions · Equations, inequalities and graphs · [Legacy] Indices and surds · +4 more

Q1Equations, inequalities and graphsFactors of polynomialsFree sample

Fig. 1

The diagram shows the graph of the cubic function $y = \mathrm{f}(x)$ . The intercepts of the curve with the axes are all integers.

(a)

Find the set of values of $x$ for which $\mathrm{f}(x) < 0$ .

(b)

Find an expression for $\mathrm{f}(x)$ .

The rest of this paper

10 more questions

Q2[Legacy] Indices and surds · Logarithmic and exponential functions7M
Q3Logarithmic and exponential functions9M
Q4Trigonometry4M
Q5Trigonometry · Calculus3M
Q6Factors of polynomials9M
Q7Vectors in two dimensions8M
Q8Permutations and combinations8M
Q9Circular measure9M
Q10Calculus · Straight-line graphs8M
Q11Calculus · Trigonometry11M

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