Additional Mathematics 4037/21 — May/June 2015

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

questions

marks

120

minutes

Topics Logarithmic and exponential functions · Straight-line graphs · Calculus · Equations, inequalities and graphs · [Legacy] Matrices · Circular measure · +4 more

Q1Logarithmic and exponential functionsFree sample

(a)

Write $\log_{27} x$ as a logarithm to base 3.

(b)

Given that $\log_a y = 3(\log_a 15 - \log_a 3) + 1$ , express $y$ in terms of $a$ .

The rest of this paper

10 more questions

Q2Equations, inequalities and graphs · Straight-line graphs · Logarithmic and exponential functions5M
Q3[Legacy] Matrices4M
Q4Circular measure7M
Q5Permutations and combinations8M
Q6Calculus7M
Q7Vectors in two dimensions8M
Q8Calculus12M
Q9Quadratic functions9M
Q10Logarithmic and exponential functions · Straight-line graphs8M
Q11[Legacy] Set language and notation7M

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