Additional Mathematics 4037/22 — May/June 2016

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

questions

marks

120

minutes

Topics Quadratic functions · Calculus · Trigonometry · Simultaneous equations · Logarithmic and exponential functions · Permutations and combinations · +6 more

Q1Quadratic functionsFree sample

(i)

Given that $x^2 + 2kx + 4k - 3 = 0$ has no real roots, show that $k$ satisfies $k^2 - 4k + 3 < 0$ .

(ii)

Solve the inequality

k^2 - 4k + 3 < 0

The rest of this paper

11 more questions

Q2Calculus5M
Q3Permutations and combinations3M
Q4Factors of polynomials5M
Q5Straight-line graphs7M
Q6Circular measure · Trigonometry7M
Q7[Legacy] Matrices8M
Q8Simultaneous equations6M
Q9Calculus7M
Q10Logarithmic and exponential functions · Simultaneous equations · Equations, inequalities and graphs9M
Q11Quadratic functions · Functions · Logarithmic and exponential functions11M
Q12Trigonometry8M

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