FPM(2023) November Paper 01 Question 9/10/11 and solution
Question 9 (7+6=13) A logo \(A E B C D\) is shown shaded in Figure 2. The straight line \(AB…
Question 9 (7+6=13) A logo \(A E B C D\) is shown shaded in Figure 2. The straight line \(AB…
Question 7 (2+5+2=9) Two numbers \(x\) and \(y\) are such that \(3x - y = 4\), \[S = 5x^3 + y…
Question 5 (3+5+7=15) Figure 1 shows part of the curve \(S\) with equation \(y = px^2 + qx + r…
Question 3 A particle $P$ moves along the $x$-axis. At time $t$ seconds ($t \geqslant 0$) t…
Question 1 The equation $k x^2 + 8x + 3k = 0$ where $k$ is a constant, has real unequal roots.…
Question 10 (a) Using formulae on page 2, show that (i) $\sin 2A = 2\sin A \cos A$ (ii) $…
Question 9 (a) Expand $\left(1-8x^2\right)^{-\frac{1}{2}}$ in ascending powers of $x$, up to a…
Question 7 A geometric series $G$ with common ratio $r$, has first term $16$ and third term …
Question 5 Figure 2 shows the graph of part of the curve $C$ with equation $y=\sqrt{2x+6}$. T…
Question 3 $$ g'(x)=mx^2-10x-37 \text{ where } m \text{ is an integer} $$ The curve $y=g(…