Question 1 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2013
Session	November
Marks	3
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Inequalities
Type	Solve quadratic inequality
Difficulty	Easy -1.2 This is a straightforward quadratic inequality requiring factorization to (x-2)(x+1)>0 and identifying regions x<-1 or x>2. It's a standard textbook exercise testing basic technique with no problem-solving required, making it easier than average but not trivial since students must correctly interpret the inequality signs.
Spec	1.02g Inequalities: linear and quadratic in single variable

1 Solve the inequality \(x ^ { 2 } - x - 2 > 0\).

Answer	Marks	Guidance
\((x + 1)(x - 2)\) or other valid method	M1	Attempt soln of eqn or other method
\(-1, 2\)	A1
\(x < -1, x > 2\)	A1	Penalise \(\leq, \geq\)
[3]

$(x + 1)(x - 2)$ or other valid method | M1 | Attempt soln of eqn or other method
$-1, 2$ | A1 |
$x < -1, x > 2$ | A1 | Penalise $\leq, \geq$
| | [3]

1 Solve the inequality $x ^ { 2 } - x - 2 > 0$.

\hfill \mbox{\textit{CAIE P1 2013 Q1 [3]}}