OCR MEI C1 — Question 6 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCompleting the square and sketching
TypeRearrange to make variable subject (quadratic)
DifficultyModerate -0.8 This is a straightforward algebraic manipulation question requiring students to collect terms containing 'a' on one side, factorise, and divide. It's simpler than average A-level content as it only tests basic rearrangement skills with no conceptual depth or problem-solving required.
Spec1.02c Simultaneous equations: two variables by elimination and substitution

Make \(a\) the subject of the equation $$2a + 5c = af + 7c.$$ [3]

Question 6:
AnswerMarks
62c −2c
[a=] or as final answer
AnswerMarks Guidance
2− f f −23 M1 for attempt to collect as and cs on
different sides and M1 ft for a (2 − f) or
7c−5c
dividing by 2 − f; allow M2 for
2− f
AnswerMarks
etc3
Question 6:
6 | 2c −2c
[a=] or as final answer
2− f f −2 | 3 | M1 for attempt to collect as and cs on
different sides and M1 ft for a (2 − f) or
7c−5c
dividing by 2 − f; allow M2 for
2− f
etc | 3
Make $a$ the subject of the equation
$$2a + 5c = af + 7c.$$ [3]

\hfill \mbox{\textit{OCR MEI C1  Q6 [3]}}