Additional Mathematics 4037/22 — May/June 2023

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

questions

marks

120

minutes

Topics Calculus · Straight-line graphs · Trigonometry · Quadratic functions · Factors of polynomials · Logarithmic and exponential functions · +2 more

Q1Quadratic functionsFree sample

(a)

Solve the inequality $3x^2 - 12x + 16 > 3x + 4$ .

(b)

(i)

Write $3x^2 - 12x + 16$ in the form $a(x + b)^2 + c$ where $a$ , $b$ and $c$ are integers.

(ii)

Hence, write down the equation of the tangent to the curve $y = 3x^2 - 12x + 16$ at the minimum point of the curve.

The rest of this paper

9 more questions

Q2Calculus8M
Q3Factors of polynomials · Straight-line graphs8M
Q4Calculus · Trigonometry6M
Q5Straight-line graphs · Logarithmic and exponential functions9M
Q6Series9M
Q7Calculus · Straight-line graphs12M
Q8Calculus · Trigonometry7M
Q9Calculus6M
Q10Vectors in two dimensions8M

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