Edexcel A-Level Mathematics Pure mathematics overview quiz quiz

$x^4$

$5x^6$

$5x^4$

$\frac{x^6}{6}$

$2x + c$

$x^3 + c$

$\frac{x^2}{2} + c$

$\frac{x^3}{3} + c$

Disproof by counter-example

Proof by direct algebraic deduction

Proof by exhaustion of every case

Proof by contradiction of the claim

$\cos(3x)$

$3\cos(3x)$

$-3\cos(3x)$

$3\sin(3x)$

$k + \log_a x$

$(\log_a x)^k$

$k\log_a x$

$\frac{\log_a x}{k}$

$\frac{1}{2}r^2\theta$

$2\pi r$

$r^2\theta$

$r\theta$

$\frac{\pi}{6}$ and $\frac{5\pi}{6}$

$\frac{\pi}{6}$ only

$\frac{\pi}{3}$ and $\frac{2\pi}{3}$

$\frac{\pi}{6}$ and $\frac{7\pi}{6}$

$7$

$5$

$25$

$\sqrt{7}$

The function value $f(x_n)$

The starting value $x_0$

The derivative $f'(x_n)$

The step number $n$

A maximum

A point of inflection

Cannot be determined

A minimum

Proof by contradiction

Proof by exhaustion

Proof by deduction

Disproof by counter-example

$\frac{1}{3(x-1)} + \frac{1}{3(x+2)}$

$\frac{1}{3(x-1)} - \frac{1}{3(x+2)}$

$\frac{1}{2(x-1)} - \frac{1}{2(x+2)}$

$\frac{2}{3(x-1)} + \frac{1}{3(x+2)}$