AQA Further Paper 1 Specimen — Question 1 1 marks

Exam BoardAQA
ModuleFurther Paper 1 (Further Paper 1)
SessionSpecimen
Marks1
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Mark schemeDownload PDF ↗
TopicVectors 3D & Lines
TypePerpendicularity conditions
DifficultyEasy -1.8 This is a straightforward 1-mark multiple choice question requiring only direct application of the dot product test for perpendicularity. Students simply compute four dot products and identify which is non-zero—pure routine calculation with no problem-solving or conceptual challenge, making it significantly easier than average even for Further Maths.
Spec1.10a Vectors in 2D: i,j notation and column vectors1.10b Vectors in 3D: i,j,k notation1.10d Vector operations: addition and scalar multiplication
A vector is given by \(\mathbf{a} = \begin{bmatrix} 2 \\ -1 \\ -3 \end{bmatrix}\) Which vector is not perpendicular to \(\mathbf{a}\)? Circle your answer. \(\begin{bmatrix} 1 \\ -1 \\ 1 \end{bmatrix}\) \quad \(\begin{bmatrix} 3 \\ 0 \\ 2 \end{bmatrix}\) \quad \(\begin{bmatrix} 5 \\ -1 \\ 3 \end{bmatrix}\) \quad \(\begin{bmatrix} 2 \\ 1 \\ 1 \end{bmatrix}\) [1 mark]
Question 1:
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1Circles correct answer AO2.2a
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Question 1:
1 | Circles correct answer | AO2.2a | B1 | 5
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A vector is given by $\mathbf{a} = \begin{bmatrix} 2 \\ -1 \\ -3 \end{bmatrix}$

Which vector is not perpendicular to $\mathbf{a}$?

Circle your answer.

$\begin{bmatrix} 1 \\ -1 \\ 1 \end{bmatrix}$ \quad $\begin{bmatrix} 3 \\ 0 \\ 2 \end{bmatrix}$ \quad $\begin{bmatrix} 5 \\ -1 \\ 3 \end{bmatrix}$ \quad $\begin{bmatrix} 2 \\ 1 \\ 1 \end{bmatrix}$

[1 mark]

\hfill \mbox{\textit{AQA Further Paper 1  Q1 [1]}}
This paper (15 questions)
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Q1 1 Q2 2 Q3 6 Q4 2 Q5 6 Q6 7 Q7 11 Q8 5 Q9 13 Q10 10 Q11 6 Q12 3 Q13 5 Q14 12 Q15 11