Additional Mathematics 4037/21 — May/June 2011

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

Q14M[Legacy] Indices and surdsFree sample

Without using a calculator, express $\frac{(5 + 2\sqrt{3})^2}{2 + \sqrt{3}}$ in the form $p + q\sqrt{3}$ , where $p$ and $q$ are integers.

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10 more questions

Q2Series5M
Q3Vectors in two dimensions5M
Q4Quadratic functions · Simultaneous equations6M
Q5Factors of polynomials6M
Q6Permutations and combinations7M
Q7Logarithmic and exponential functions · Straight-line graphs8M
Q8Logarithmic and exponential functions · Calculus8M
Q9Vectors in two dimensions8M
Q10Trigonometry11M
Q11Circular measure · Calculus · Straight-line graphs24M

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