CIE 2023 March 0606/12 Question 1/2 and solution
Question 1 Find the exact values of $k$ such that the straight line $y=1-k-x$ is a tangent to …
Question 1 Find the exact values of $k$ such that the straight line $y=1-k-x$ is a tangent to …
Question 9 (7+6=13) A logo $A E B C D$ is shown shaded in Figure 2. The straight line $ABC$ …
Question 7 (2+5+2=9) Two numbers $x$ and $y$ are such that $3x - y = 4$, \[S = 5x^3 + y^2.\] …
Question 5 (3+5+7=15) Figure 1 shows part of the curve $S$ with equation $y = px^2 + qx + r$ w…
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…