OCR Further Pure Core 1 Specimen — Question 1 2 marks

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
SessionSpecimen
Marks2
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Mark schemeDownload PDF ↗
TopicComplex Numbers Arithmetic
TypeDirect division of complex numbers
DifficultyEasy -1.8 This is a routine Further Maths complex number division requiring only multiplication by the conjugate and simplification. It's a 'show that' question with the answer given, making it purely procedural with no problem-solving required. Despite being Further Maths content, it's a basic drill exercise.
Spec4.02e Arithmetic of complex numbers: add, subtract, multiply, divide
1 Show that \(\frac { 5 } { 2 - 4 \mathrm { i } } = \frac { 1 } { 2 } + \mathrm { i }\).
Question 1:
AnswerMarks
15 5 2(cid:14)4i 10(cid:14)20i
(cid:32) (cid:117) (cid:32) (cid:32) 1(cid:14)i
AnswerMarks
2(cid:16)4i 2(cid:16)4i 2(cid:14)4i 20 2M1
A1
AnswerMarks
[2]2.1
1.1For multiplying numerator and
denominator by 2(cid:14)4i
AnswerMarks
Clear demonstrationor multiplying 1 (cid:14)iby 2(cid:16)4i
2
1
Question 1:
1 | 5 5 2(cid:14)4i 10(cid:14)20i
(cid:32) (cid:117) (cid:32) (cid:32) 1(cid:14)i
2(cid:16)4i 2(cid:16)4i 2(cid:14)4i 20 2 | M1
A1
[2] | 2.1
1.1 | For multiplying numerator and
denominator by 2(cid:14)4i
Clear demonstration | or multiplying 1 (cid:14)iby 2(cid:16)4i
2
1
1 Show that $\frac { 5 } { 2 - 4 \mathrm { i } } = \frac { 1 } { 2 } + \mathrm { i }$.

\hfill \mbox{\textit{OCR Further Pure Core 1  Q1 [2]}}
This paper (11 questions)
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Q1 2 Q2 5 Q3 6 Q4 3 Q5 5 Q6 5 Q7 7 Q8 8 Q9 5 Q10 10 Q11 19