FPM(2023) November Paper 01 Question 3/4 and solution
Question 3 $$ g'(x)=mx^2-10x-37 \text{ where } m \text{ is an integer} $$ The curve $y=g(…
Question 3 $$ g'(x)=mx^2-10x-37 \text{ where } m \text{ is an integer} $$ The curve $y=g(…
Further Pure Mathematics Topic Questions from 2017 to 2019 International GCSE in Further…
Question 1 Figure 1 shows the triangle $ABC$ $\angle ABC = 90^\circ$ $AB = (2 + 4\sqrt{5}) \…
Question 10 The curve $C$ with equation $y=\frac{6-3x}{x-4}$ where $x \neq 4$, crosses the $x$-a…
Question 7 (a) Expand $\left(1+\frac{x}{3}\right)^{-3}$ in ascending powers of $x$ up to and inc…
Question 4 The curve $S$ with equation $y=\frac{x^2}{4}+2$ where $x \geqslant 0$ and the line …
Question 1 Given that $\frac{a+2 \sqrt{5}}{3-\sqrt{5}}=\frac{11+b \sqrt{5}}{2}$ where $a$ is an…
Question 9 (a) Using the formulae on page 2, show that $$ \cos^2 A=\frac{\cos 2A+1}{2} $$ …
Question 7 The equation of a curve is $$ y=\sqrt{\frac{\mathrm{e}^{4x}}{2x-3}} $$ When $x$ is i…
Question 5 A solid cuboid has width $x \mathrm{~cm}$, length $4x \mathrm{~cm}$ and height $h \mat…