100+ Free MATSEC IM Applied Mathematics Practice Questions

Prepare for the Malta Intermediate Matriculation (IM) Applied Mathematics — IM 02 (2026) exam with instant access — no signup required.

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2026 Statistics

Key Facts: MATSEC IM Applied Mathematics Exam

IM 02

Official MATSEC Intermediate subject code

MATSEC 2026 syllabi catalogue

A–E / F

Subject grade scale (A highest pass; F fail)

Matriculation Examination Regulations 2025

10 / 8 / 6 / 4 / 2

IM grade points for grades A / B / C / D / E

Matriculation Examination Regulations 2025

Minimum total grade points for Matriculation Certificate (with required subject mix)

Matriculation Examination Regulations 2025

EUR 40

Revision of Paper fee at IM level (from 2026 sessions fee schedule)

MATSEC Examination Fees document

EUR 35

Late registration fee per subject (from 2026 sessions fee schedule)

MATSEC Examination Fees document

100

Free practice MCQs on this page (study adaptation)

OpenExamPrep

MATSEC Intermediate Matriculation Applied Mathematics (IM 02) is a University of Malta MATSEC subject assessed under the 2026 syllabus (one written paper: 3 hours). Results use grades A–E (pass) or F; IM grade points contribute to the Matriculation Certificate (minimum 44 points). The 100 questions on this page are an English-language MCQ study adaptation, not an official MATSEC format simulation.

Sample MATSEC IM Applied Mathematics Practice Questions

Try these sample questions to test your MATSEC IM Applied Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Vectors a = 3i + 4j and b = −i + 2j. What is the magnitude of a + b?

A.√20

B.√40

C.5

D.√10

Explanation: a + b = (3 − 1)i + (4 + 2)j = 2i + 6j. |a + b| = √(2² + 6²) = √(4 + 36) = √40.

2A force is given by F = 6i − 8j newtons. What is the magnitude of F?

A.2 N

B.10 N

C.14 N

D.100 N

Explanation: |F| = √(6² + (−8)²) = √(36 + 64) = √100 = 10 N.

3The unit vector in the direction of 5i − 12j is

A.(5i − 12j)/13

B.(5i − 12j)/17

C.5i − 12j

D.(12i − 5j)/13

Explanation: |5i − 12j| = √(25 + 144) = √169 = 13. The unit vector is (5i − 12j)/13.

4Position vectors of A and B relative to O are a = 2i + j and b = 6i − 5j. The vector AB is

A.4i − 6j

B.8i − 4j

C.−4i + 6j

D.4i + 6j

Explanation: AB = b − a = (6i − 5j) − (2i + j) = 4i − 6j.

5A particle moves with constant velocity v = 3i + 4j m s⁻¹. How far does it travel in 5 s?

A.15 m

B.20 m

C.25 m

D.35 m

Explanation: Speed = |v| = √(9 + 16) = 5 m s⁻¹. Distance = 5 × 5 = 25 m.

6The vector equation of the straight line through the point with position vector 2i − j in the direction of 3i + 4j is r =

A.(2i − j) + λ(3i + 4j)

B.(3i + 4j) + λ(2i − j)

C.λ(5i + 3j)

D.(2i − j) · (3i + 4j)

Explanation: A line through the point with position vector a in direction d has equation r = a + λd. Here a = 2i − j and d = 3i + 4j.

7Forces 5i + 2j N and −3i + 4j N act at a point. The resultant force is

A.2i + 6j N

B.8i − 2j N

C.−8i − 2j N

D.2i − 6j N

Explanation: Resultant = (5 − 3)i + (2 + 4)j = 2i + 6j N.

8The scalar product of a = 2i + 3j and b = 4i − j is

A.5

B.8

C.11

D.−5

Explanation: The scalar product multiplies matching components and adds the results: a · b = (2)(4) + (3)(−1) = 8 − 3 = 5. The answer is a scalar, so it has no i or j part.

9The lines r = (2i + j) + λ(i + 2j) and r = (5i + 7j) + μ(−i + j) intersect at the point with position vector

A.5i + 7j

B.2i + j

C.4i + 5j

D.3i + 3j

Explanation: Equate components: 2 + λ = 5 − μ and 1 + 2λ = 7 + μ. Adding gives 3 + 3λ = 12, so λ = 3. Then 2 + 3 = 5 − μ gives μ = 0. The intersection is r = 5i + 7j.

10Two forces of 6 N and 8 N act at a point at right angles. The magnitude of their resultant is

A.2 N

B.10 N

C.14 N

D.48 N

Explanation: For perpendicular forces, R = √(6² + 8²) = √(36 + 64) = √100 = 10 N.

About the MATSEC IM Applied Mathematics Exam

Malta Intermediate Matriculation (IM) Applied Mathematics — IM 02 (2026) is administered by the MATSEC Examinations Board (University of Malta). Intermediate Matriculation subjects form part of the Matriculation Certificate pathway (two Advanced Level subjects, three Intermediate Level subjects and Systems of Knowledge, with group restrictions and a minimum of 44 grade points). Assessment for IM 02 follows the official 2026 syllabus scheme: One written paper of 3 hours containing ten questions each carrying 8–12 marks (total 100 marks). Candidates answer all questions. Applied Mathematics (Mechanics). Available in September session. This practice bank is an English-language MCQ study adaptation of syllabus knowledge and judgment, not an official paper simulation or substitute for required oral, practical, performance or project work.

Assessment

One written paper of 3 hours containing ten questions each carrying 8–12 marks (total 100 marks). Candidates answer all questions. Applied Mathematics (Mechanics). Available in September session.

Time Limit

One written paper: 3 hours

Passing Score

Subject results are graded A, B, C, D, E (pass, A highest) or F (fail). For the Matriculation Certificate, Intermediate Level grade points are: A=10, B=8, C=6, D=4, E=2. The Certificate requires among other criteria a minimum total of 44 grade points from the required subject combination within five years (Matriculation Examination Regulations 2025).

Exam Fee

The MATSEC Examination Fees schedule applicable from the 2026 sessions publishes no base registration fee per subject; only additional charges are listed — late registration EUR 35 per subject, very late registration EUR 70 per subject, Revision of Paper at Intermediate Matriculation (IM) level EUR 40, and change in school EUR 35. Examination fees are not refundable. (MATSEC Examinations Board, University of Malta)

MATSEC IM Applied Mathematics Exam Content Outline

Core

Kinematics of particles

Core

Newton laws and force

Core

Work energy and power

Core

Momentum and collisions

Core

Projectiles

Core

Circular motion

Core

Simple harmonic motion

Core

Statics and equilibrium

Core

Friction

Core

Centres of mass

How to Pass the MATSEC IM Applied Mathematics Exam

What You Need to Know

Passing score: Subject results are graded A, B, C, D, E (pass, A highest) or F (fail). For the Matriculation Certificate, Intermediate Level grade points are: A=10, B=8, C=6, D=4, E=2. The Certificate requires among other criteria a minimum total of 44 grade points from the required subject combination within five years (Matriculation Examination Regulations 2025).
Assessment: One written paper of 3 hours containing ten questions each carrying 8–12 marks (total 100 marks). Candidates answer all questions. Applied Mathematics (Mechanics). Available in September session.
Time limit: One written paper: 3 hours
Exam fee: The MATSEC Examination Fees schedule applicable from the 2026 sessions publishes no base registration fee per subject; only additional charges are listed — late registration EUR 35 per subject, very late registration EUR 70 per subject, Revision of Paper at Intermediate Matriculation (IM) level EUR 40, and change in school EUR 35. Examination fees are not refundable.

Keys to Passing

Complete 500+ practice questions
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MATSEC IM Applied Mathematics Study Tips from Top Performers

1Work from the official IM 02 2026 syllabus learning outcomes and scheme of assessment on um.edu.mt/matsec — examiners mark to those criteria.

2Practise timed written-paper style answers and any required oral, practical, performance or project work; MCQs alone cannot replace those components.

3Note Matriculation Certificate combination rules (groups, prohibited pairings, Systems of Knowledge, 44-point minimum) in the Matriculation Examination Regulations 2025.

4Use MATSEC past papers and marking schemes for personal study only; commercial reproduction requires MATSEC permission.

5Register within published First Session and September Second Session windows; late and very late fees apply per the 2026 fee schedule.

Frequently Asked Questions

What is MATSEC Intermediate Matriculation Applied Mathematics?

Malta Intermediate Matriculation (IM) Applied Mathematics — IM 02 (2026) is an Intermediate Matriculation subject administered by the MATSEC Examinations Board at the University of Malta under the official 2026 syllabus (IM 02). Intermediate subjects contribute grade points toward the Matriculation Certificate.

How is MATSEC IM Applied Mathematics assessed?

One written paper of 3 hours containing ten questions each carrying 8–12 marks (total 100 marks). Candidates answer all questions. Applied Mathematics (Mechanics). Available in September session. Official papers are not fixed multiple-choice totals.

How much does MATSEC IM registration cost?

What grades and points apply at Intermediate Level?

Are these official MATSEC examination questions?

No. Official MATSEC IM Applied Mathematics uses the written/oral/practical/project components set in the IM 02 syllabus—not a fixed multiple-choice paper. This bank is an original English-language MCQ study adaptation for syllabus knowledge practice only.

100+ Free MATSEC IM Applied Mathematics Practice Questions

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Key Facts: MATSEC IM Applied Mathematics Exam

Sample MATSEC IM Applied Mathematics Practice Questions

About the MATSEC IM Applied Mathematics Exam

MATSEC IM Applied Mathematics Exam Content Outline

How to Pass the MATSEC IM Applied Mathematics Exam

What You Need to Know

Keys to Passing

MATSEC IM Applied Mathematics Study Tips from Top Performers

Frequently Asked Questions