AQA Further AS Paper 1 2021 June — Question 1 1 marks

Exam BoardAQA
ModuleFurther AS Paper 1 (Further AS Paper 1)
Year2021
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicComplex Numbers Argand & Loci
TypeModulus-argument form conversion
DifficultyEasy -1.8 This is a straightforward recognition question requiring students to identify that a complex number in the fourth quadrant (negative imaginary part) must have a negative argument, and to estimate the angle's magnitude from the diagram. It tests only basic understanding of modulus-argument form with no calculation or problem-solving required.
Spec4.02d Exponential form: re^(i*theta)
1 The complex number \(\omega\) is shown below on the Argand diagram. \includegraphics[max width=\textwidth, alt={}, center]{f7e7c21b-6e72-4c20-92fc-ba0336a11136-02_597_650_632_689} Which of the following complex numbers could be \(\omega\) ?
Tick ( \(\checkmark\) ) one box. $$\begin{aligned} & \cos ( - 2 ) + i \sin ( - 2 ) \\ & \cos ( - 1 ) + i \sin ( - 1 ) \\ & \cos ( 1 ) + i \sin ( 1 ) \\ & \cos ( 2 ) + i \sin ( 2 ) \end{aligned}$$ □
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Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
\(\cos(2) + i\sin(2)\)B1 (AO1.1b) Ticks correct box
Total: 1 
## Question 1:
| Answer | Marks | Guidance |
|--------|-------|----------|
| $\cos(2) + i\sin(2)$ | B1 (AO1.1b) | Ticks correct box |
| **Total: 1** | | |

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1 The complex number $\omega$ is shown below on the Argand diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{f7e7c21b-6e72-4c20-92fc-ba0336a11136-02_597_650_632_689}

Which of the following complex numbers could be $\omega$ ?\\
Tick ( $\checkmark$ ) one box.

$$\begin{aligned}
& \cos ( - 2 ) + i \sin ( - 2 ) \\
& \cos ( - 1 ) + i \sin ( - 1 ) \\
& \cos ( 1 ) + i \sin ( 1 ) \\
& \cos ( 2 ) + i \sin ( 2 )
\end{aligned}$$

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\hfill \mbox{\textit{AQA Further AS Paper 1 2021 Q1 [1]}}
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Q1 1 Q2 1 Q3 1 Q4 1 Q5 2 Q6 2 Q7 3 Q8 6 Q9 7 Q10 8 Q11 4 Q12 5 Q13 4 Q14 9 Q15 8 Q16 8 Q17 12