Question 1 - A-Level Maths

Exam Board	OCR MEI
Module	C1 (Core Mathematics 1)
Marks	3
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Solving quadratics and applications
Type	Rearranging formula - single step isolation (square/root/fraction)
Difficulty	Easy -1.2 This is a straightforward rearrangement requiring only basic algebraic manipulation (subtract ut from both sides, then divide by ½t²). While it involves a quadratic term, the student is not solving a quadratic equation—just isolating a variable that appears linearly. This is simpler than typical A-level questions which require multiple techniques or problem-solving.
Spec	1.02k Simplify rational expressions: factorising, cancelling, algebraic division

1 Make \(a\) the subject of the equation \(s = u t + \frac { 1 } { 2 } a t ^ { 2 }\).

Answer	Marks	Guidance
\(s - ut = \frac{1}{2}at^2 \Rightarrow at^2 = 2(s-ut)\)	B1 B1
\(\Rightarrow a = \frac{2(s-ut)}{t^2}\)	B1	Total: 3

# Question 1:
$s - ut = \frac{1}{2}at^2 \Rightarrow at^2 = 2(s-ut)$ | B1 B1 |
$\Rightarrow a = \frac{2(s-ut)}{t^2}$ | B1 | **Total: 3**

---

1 Make $a$ the subject of the equation $s = u t + \frac { 1 } { 2 } a t ^ { 2 }$.

\hfill \mbox{\textit{OCR MEI C1  Q1 [3]}}