Unit 2 VCE Specialist Maths - Vectors Test - AT 2.1 - Assessment Task

Sep 20, 2026

Uploaded by Aladdin

Vectors assessment task for VCE Specialist Maths, covering key vector concepts and procedures, application in non-routine contexts, and technology-supported solution, modelling, and investigation techniques. The test specifies approved CAS calculator and reference materials, a timed structure, and an outcomes-based assessment framework. Marking is allocated across multiple choice, short answer, and applications/modelling sections, with overall grading using a 40% threshold for satisfactory completion and moderation noted for results.

LanguageEnglish

CategoryExam

FormatPDF

Pages8

Reading Time20 min

AccessFree to download

Assessment Overview

Outcomes

Conditions

Results Structure

Multiple Choice Questions

Short-answer Questions

Applications and Modelling

Unit 2 VCE Specialist Maths AT 2.1 Vectors Test Date: Friday 29 June 2018 Start Time: 11.40 Finish Time: 11.35 Total Time Allowed for Task: 75 min Student Name: Teacher Name: Ms R Vaughan This assessment task will be assessing the following three outcomes for this subject. Outcome 1: On completion of this unit the students should be able to define and explain key concepts in relation to the topics from the selected areas of study and apply a range of related mathematical routines and procedures. Outcome 2: On completion of this unit the student should be able to apply mathematical processes in non-routine contexts, and analyse and discuss these applications of mathematics. Outcome 3: On completion of this unit the student should be able to use technology to produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches. Conditions An approved CAS calculator and reference material (either a notebook or text) is allowed. Results Multiple choice: /8 Short Answer: /25 Applications and Modelling: /14 Total: /47 Overall %: Note: Results may be subject to moderation. The score for this task forms part of the internal assessment for this Unit. Satisfactory Completion (S) is met if the overall result for this task is 40% or above. Student has satisfactorily completed this task? S / N | Multiple Choice Questions (8 marks) | | | --- | --- | | 1 Using the diagram below, choose the correct alternative.

A. + y = 􀀄
B. − y = −􀀄
C. − + y = 􀀄
D. + y = −􀀄
E. − y = 􀀄
2 Expressed in simplest form,
􀁊􀁊􀁇 􀁊􀁊􀁇 􀁊􀁊􀁇 􀁊􀁊􀁇
DE + FH − FG + EG equals
A. 0
􀀄
􀁊􀁊􀁇
B. DF
􀁊􀁊􀁇
C. FE
􀁊􀁊􀁇
D. DH
􀁊􀁊􀁇
E. DG
3 The angle that the vector 4 + 2 j makes 􀀄
with the positive direction of the x-axis is found by solving:
A. tan(θ) = ~~ ~~12
B. tan(θ) = 2
C. sin(θ) = ~~ ~~12
D. cos(θ) = 2
E. tan(θ) = − ~~ ~~12 | 4 If = −2 + nj , =􀀄
A. n2 – 4
B. n2 + 5
C. n2 + 4
D. n2 + 5
E. n2 − 4
5 A unit vector in the direction of − 2j is:􀀄
A. − 2j 􀀄
B. 1 (i − 2 j)
3 􀀄 􀀄
C. 2j − 􀀄
D. 1 ( − 2 j)
5 􀀄
E. 1 (i − 2 j)
5 􀀄 􀀄 | | 6 In the diagram shown, LOM is a diameter of the circle with centre O. N is a point on the circumference of the circle.
􀁊􀁊􀁊􀁇 􀁊􀁊􀁇
Let OM = = q . Which one of the
􀀄
following must be true? | | | 8 Given the vectors = − 2 j and = 2 + 3 j
􀀄 􀀄
the scalar resolute of a in the direction of
􀀄
b is:
􀀄
4
A. − ~~ ~~
13
4
B. − ~~ ~~
13
4
C. − ~~ ~~
5
4
D. − ~~ ~~
5
E. −4
END OF MULTIPLE CHOICE QUESTIONS
| | --- | --- | --- | --- | | L | | M | | | A. 2 + q = 0 􀀄
B. 2 − q = 0 􀀄
C. .q = q.q
􀀄 􀀄􀀄
D. 2.q = q.q
􀀄 􀀄􀀄
E. .q = −q.q
􀀄 􀀄􀀄
7 P, Q and R are three collinear points with
position vectors p, q and respectively,􀀄 􀀄
where Q lies between P and R.
􀁊􀁊􀁇 1 􀁊􀁊􀁇
If QR = ~~ ~~ PQ then is equal to
2
3 1
A. ~~ ~~ q − ~~ ~~ p
2 􀀄 2 􀀄 3 1
B. ~~ ~~ p − ~~ ~~ q
2 􀀄 2 􀀄 3 3
C. ~~ ~~ q − ~~ ~~ p
2 􀀄 2 􀀄 1 3
D. ~~ ~~ p − ~~ ~~ q
2 􀀄 2 􀀄 3 3
E. ~~ ~~ p − ~~ ~~ q
2 􀀄 2 􀀄 | | | | | Short-answer questions (25 marks)
Answer in the space provided. In all questions where a numerical answer is required, an exact value must be given unless otherwise specified. In questions where more than one mark is available, appropriate working must be shown.
1. Let = 3 − 5 j and = − + 2 j . Find the angle between these two vectors in degrees to the
􀀄 􀀄
nearest degree.
[3 marks] | | | | --- | --- | --- | | 2. Find the value(s) of p such that p + 2(1− 3p)j 􀀄 | is perpendicular to | 2p + 3 j 􀀄 | | [5 marks] | | | | 3. Let = 2 + 3 j − and = + j − 2 .
􀀄 􀀄
(a) Find a unit vector parallel to u
􀀄 | | | (b) Resolve v into components parallel and perpendicular to u 􀀄 􀀄 [2+4=6 marks]

FAQs

What assessment outcomes does the Vectors test evaluate?

It evaluates students’ ability to define and apply key vector concepts, apply mathematics in non-routine contexts and analyze those applications, and use technology for results and analysis in problem-solving, modelling, or investigative situations.

What tools are allowed during the test?

An approved CAS calculator and reference material (either a notebook or text) are allowed.

How are marks distributed and what is the passing condition?

Marks total 47, split into multiple choice (/8), short answer (/25), and applications/modelling (/14). Satisfactory completion requires an overall result of 40% or above, and results may be subject to moderation.

Sep 20, 2026

Uploaded by Aladdin