Question 1 - A-Level Maths

Exam Board	OCR MEI
Module	C2 (Core Mathematics 2)
Year	2006
Session	January
Marks	2
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Radians, Arc Length and Sector Area
Type	Degree-radian conversion
Difficulty	Easy -1.8 This is a straightforward degree-to-radian conversion requiring only the formula π radians = 180°, leading to k = 140/180 = 7/9. It's a single-step calculation with no problem-solving element, making it significantly easier than average A-level questions.
Spec	1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta

1 Given that \(140 ^ { \circ } = k \pi\) radians, find the exact value of \(k\).

Answer	Marks	Guidance
\(\frac{7}{9}\) or \(\frac{140}{180}\) o.e.	2 marks	B1 for \(180° = \pi\) rad o.e. or 0.78 or other approximations

$\frac{7}{9}$ or $\frac{140}{180}$ o.e. | 2 marks | B1 for $180° = \pi$ rad o.e. or 0.78 or other approximations

1 Given that $140 ^ { \circ } = k \pi$ radians, find the exact value of $k$.

\hfill \mbox{\textit{OCR MEI C2 2006 Q1 [2]}}