AQA Further AS Paper 1 2018 June — Question 1 1 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
Year2018
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicComplex Numbers Arithmetic
TypeComplex conjugate properties and proofs
DifficultyEasy -1.8 This is a 1-mark multiple choice question testing basic recall of complex number properties: zz* = |z|² = 3² + (-1)² = 10. Requires only direct application of a standard formula with no problem-solving, making it significantly easier than average A-level questions.
Spec4.02a Complex numbers: real/imaginary parts, modulus, argument4.02c Complex notation: z, z*, Re(z), Im(z), |z|, arg(z)

\(z = 3 - i\) Determine the value of \(zz*\) Circle your answer. [1 mark] \(10\) \(\qquad\) \(\sqrt{10}\) \(\qquad\) \(10 - 2i\) \(\qquad\) \(10 + 2i\)

Question 1:
AnswerMarks Guidance
1Circles correct answer 1.1b
Total1
QMarking instructions AO
Question 1:
1 | Circles correct answer | 1.1b | B1 | 10
Total | 1
Q | Marking instructions | AO | Mark | Typical solution
$z = 3 - i$

Determine the value of $zz*$

Circle your answer.
[1 mark]

$10$ $\qquad$ $\sqrt{10}$ $\qquad$ $10 - 2i$ $\qquad$ $10 + 2i$

\hfill \mbox{\textit{AQA Further AS Paper 1 2018 Q1 [1]}}