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CCEA A-Level Mathematics A2 1 Pure Mathematics overview quiz quiz

16questions. Pick an answer and you'll see why right away.

To disprove a 'for all' statement, you need:
The composite function $fg(x)$ means:
A repeated factor $(x + 2)^2$ in partial fractions requires terms:
A geometric series converges to a sum to infinity only when:
The binomial expansion of $(1 + x)^n$ for a non-integer $n$ is valid for:
The arc length of a sector with radius $r$ and angle $\theta$ radians is:
$\sin 2A$ is equal to:
For $a\sin\theta + b\cos\theta = R\sin(\theta + \alpha)$ , the value of $R$ is:
For a curve given parametrically, $\frac{dy}{dx}$ equals:
Differentiate $y = \cos 4x$ .
When differentiating $y^2$ implicitly with respect to $x$ , you get:
Integration by parts reverses which rule?
$\int \frac{1}{x}\,dx$ equals:
A separable differential equation $\frac{dy}{dx} = f(x)g(y)$ is solved by:
A continuous function has $f(2) < 0$ and $f(3) > 0$ . This shows:
Two non-zero vectors are perpendicular when their scalar product is: