AQA Further Paper 1 2020 June — Question 2 1 marks

Exam BoardAQA
ModuleFurther Paper 1 (Further Paper 1)
Year2020
SessionJune
Marks1
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicLinear transformations
Type3D transformation matrices
DifficultyEasy -1.2 This is a 1-mark multiple choice question requiring recall of the standard 3D rotation matrix about the x-axis. Students need only recognize the pattern (x-coordinate unchanged, rotation in yz-plane) without any calculation or problem-solving, making it significantly easier than average despite being a Further Maths topic.
Spec4.03f Linear transformations 3D: reflections and rotations about axes

2 Which one of the matrices below represents a rotation of \(90 ^ { \circ }\) about the \(x\)-axis? Circle your answer.
[0pt] [1 mark] \(\left[ \begin{array} { c c c } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & - 1 \end{array} \right]\) \(\left[ \begin{array} { c c c } - 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\) \(\left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{array} \right]\) \(\left[ \begin{array} { c c c } 1 & 0 & 0 \\ 0 & 0 & - 1 \\ 0 & 1 & 0 \end{array} \right]\)

Question 2:
AnswerMarks Guidance
AnswerMarks Guidance
Circles \(\begin{bmatrix} 1 & 0 & 0 \\ 0 & 0 & -1 \\ 0 & 1 & 0 \end{bmatrix}\)B1 AO 1.2
Total: 1 mark
## Question 2:

| Answer | Marks | Guidance |
|--------|-------|----------|
| Circles $\begin{bmatrix} 1 & 0 & 0 \\ 0 & 0 & -1 \\ 0 & 1 & 0 \end{bmatrix}$ | B1 | AO 1.2 |

**Total: 1 mark**

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2 Which one of the matrices below represents a rotation of $90 ^ { \circ }$ about the $x$-axis? Circle your answer.\\[0pt]
[1 mark]\\
$\left[ \begin{array} { c c c } 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & - 1 \end{array} \right]$\\
$\left[ \begin{array} { c c c } - 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]$\\
$\left[ \begin{array} { l l l } 1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0 \end{array} \right]$\\
$\left[ \begin{array} { c c c } 1 & 0 & 0 \\ 0 & 0 & - 1 \\ 0 & 1 & 0 \end{array} \right]$

\hfill \mbox{\textit{AQA Further Paper 1 2020 Q2 [1]}}