OCR A-Level Maths A Pure foundations overview quiz quiz

Proof by deduction

Proof by contradiction

Proof by exhaustion

Disproof by counter-example

$12$

$64$

$8$

$4$

$\pm 2$

$\pm 8$

$\pm 16$

$\pm 4$

$f(3) = 0$

$f(0) = 3$

$f(-3) = 0$

$f(3) = 3$

$10$

$20$

$40$

$80$

$\begin{pmatrix} 2 \\ 0 \end{pmatrix}$

$\begin{pmatrix} -2 \\ 0 \end{pmatrix}$

$\begin{pmatrix} 0 \\ 2 \end{pmatrix}$

$\begin{pmatrix} 0 \\ -2 \end{pmatrix}$

$\frac{3}{2}$

$-\frac{2}{3}$

$\frac{2}{3}$

$-\frac{3}{2}$

Centre $(2, -3)$, radius $4$

Centre $(-2, 3)$, radius $4$

Centre $(2, -3)$, radius $16$

Centre $(4, -6)$, radius $4$

$ar^{n-1}$

$a + (n - 1)d$

$a + nd$

$\frac{n}{2}(2a + (n-1)d)$

$8$

$4$

$16$

It diverges

$-2 < x < 3$

$x < -3$ or $x > 2$

$-3 < x < 2$

$x < -2$ or $x > 3$

$\frac{\sqrt{3} - 1}{2}$

$\frac{\sqrt{3} + 1}{2}$

$\frac{\sqrt{3} - 1}{4}$

$\sqrt{3} - 1$