Question 11 - A-Level Maths

OCR MEI C1 — Question 11 3 marks

Exam Board	OCR MEI
Module	C1 (Core Mathematics 1)
Marks	3
Paper	Download PDF ↗
Mark scheme	Download PDF ↗
Topic	Completing the square and sketching
Type	Rearrange to make variable subject (quadratic)
Difficulty	Easy -1.8 This is a straightforward algebraic rearrangement requiring collecting terms containing h and factoring, which is a basic C1 skill. The question involves only two simple steps (collecting h terms and factoring) with no conceptual difficulty, making it significantly easier than average A-level questions.
Spec	1.02c Simultaneous equations: two variables by elimination and substitution

Rearrange the following equation to make $h$ the subject. $$4h + 5 = 9a - ha^2$$ [3]

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Question 11:

Answer	Marks
11	4h + ha2 = 9a  5

h(4 + a2) = 9a  5

9a5

[h] oe as final answer

Answer	Marks
4a2	M1

M1

Answer	Marks
[3]	correctly collecting h terms on one side,

remaining terms on other

for factorising, ft eg sign error

for division by their factor;

Answer	Marks
ft only for equiv difficulty	M0 if seen and spoilt, eg by incorrect

‘cancelling’

Question 11:
11 | 4h + ha2 = 9a  5
h(4 + a2) = 9a  5
9a5
[h] oe as final answer
4a2 | M1
M1
M1
[3] | correctly collecting h terms on one side,
remaining terms on other
for factorising, ft eg sign error
for division by their factor;
ft only for equiv difficulty | M0 if seen and spoilt, eg by incorrect
‘cancelling’

Show LaTeX source

Rearrange the following equation to make $h$ the subject.
$$4h + 5 = 9a - ha^2$$ [3]

\hfill \mbox{\textit{OCR MEI C1  Q11 [3]}}

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Q1 2 Q2 5 Q3 12 Q4 4 Q5 4 Q6 5 Q7 3 Q8 4 Q9 4 Q10 3 Q11 3