Is the Leaving Certificate Applied Maths exam multiple choice?

No. The official assessment is a written examination of structured multi-part questions (80%) plus a Mathematical Modelling Project (20%). These multiple-choice items are an original English study adaptation for calculation and concept practice, not the real exam format.

How is Leaving Cert Applied Mathematics assessed?

There are two SEC-set components at Higher and Ordinary Level: a modelling project worth 20% based on an annual brief completed in sixth year, and a written paper worth 80% lasting 2 hours 30 minutes.

What topics are on the Applied Mathematics specification?

Four strands: (1) mathematical modelling; (2) networks and graphs (matrices, MSTs, shortest paths, project scheduling); (3) physical world kinematics and dynamics (motion, forces, projectiles, collisions, energy, circular motion); (4) modelling a changing world with difference and differential equations.

What is the modelling project?

It is a 20% component based on a brief issued annually by the SEC. Candidates define a problem, translate it to mathematics, compute a solution, analyse and iterate, then submit a written report of their own work for SEC marking.

How is Leaving Cert Applied Maths graded?

There is no single pass mark. Results use the eight-point scale (Higher Level H1-H8, Ordinary Level O1-O8), where each grade is a percentage band, for example H1/O1 is 90-100% and H4/O4 is 60 to under 70%.

Are these official SEC practice questions?

No. These are original OpenExamPrep English single-best-answer questions modelled on the NCCA Applied Mathematics specification. The State Examinations Commission publishes official past papers and marking schemes separately on examinations.ie.

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100+ Free LC Applied Maths Practice Questions

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2026 Statistics

Key Facts: LC Applied Maths Exam

2.5 hours

Duration of the Leaving Certificate Applied Mathematics written examination

NCCA Applied Mathematics specification

80% + 20%

Written examination weighting and modelling project weighting

NCCA Applied Mathematics specification

4 strands

Modelling; networks and graphs; physical world; changing world

NCCA Applied Mathematics specification

Higher and Ordinary

Applied Mathematics is offered at two levels, H1-H8 and O1-O8

State Examinations Commission grading scale

EUR 116

2026 Leaving Certificate exam fee for a school-based candidate (covers all subjects)

Citizens Information - Examination fees

SEC project brief

The modelling project uses a common annual brief issued by the SEC for both levels

NCCA Applied Mathematics specification

Written not MCQ

The official SEC paper uses structured written answers; this bank is an MCQ study adaptation

State Examinations Commission paper format

100

Free original multiple-choice practice questions in this bank

OpenExamPrep

Leaving Certificate Applied Mathematics is an Irish senior-cycle modelling subject set by the SEC at Higher (H1-H8) or Ordinary (O1-O8) Level. Assessment is 20% modelling project plus 80% written paper (2 hours 30 minutes) across networks, particle dynamics and difference/differential equations under the four-strand NCCA specification. This free bank provides 100 original English MCQ study items — an adaptation of the real structured-written format — with substantial numeric calculation practice.

Sample LC Applied Maths Practice Questions

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

1A particle moves in a straight line with constant acceleration 3 m/s² from rest. What is its speed after 4 s?

A.12 m/s

B.7 m/s

C.3 m/s

D.48 m/s

Explanation: Use v = u + at with u = 0, a = 3 m/s² and t = 4 s: v = 0 + 3 × 4 = 12 m/s.

2A particle starts with speed 8 m/s and accelerates at 2 m/s² for 5 s. How far does it travel in that time?

A.65 m

B.50 m

C.40 m

D.90 m

Explanation: s = ut + (1/2)at² = 8×5 + (1/2)×2×5² = 40 + 25 = 65 m.

3A car slows from 20 m/s to 8 m/s in 6 s with constant acceleration. Taking the direction of the initial velocity as positive, what is the acceleration?

A.-2 m/s²

B.2 m/s²

C.-12 m/s²

D.4 m/s²

Explanation: a = (v − u)/t = (8 − 20)/6 = −12/6 = −2 m/s².

4On a velocity–time graph, a straight line runs from (0 s, 0 m/s) to (10 s, 20 m/s). What is the constant acceleration?

A.2 m/s²

B.0.5 m/s²

C.20 m/s²

D.200 m/s²

Explanation: Acceleration is the slope of the v–t graph: a = Δv/Δt = 20/10 = 2 m/s².

5A particle starts from rest and accelerates at 4 m/s² over a distance of 18 m. Using v² = u² + 2as, what is its final speed?

A.12 m/s

B.6 m/s

C.√18 m/s

D.72 m/s

Explanation: v² = 0 + 2(4)(18) = 144, so v = 12 m/s (taking the positive root for speed).

6A particle has displacement s = 3t² − 2t (s in metres, t in seconds). What is its velocity at t = 2 s?

A.10 m/s

B.8 m/s

C.12 m/s

D.4 m/s

Explanation: v = ds/dt = 6t − 2. At t = 2, v = 12 − 2 = 10 m/s.

7Take g = 10 m/s². A stone is dropped from rest from a height of 45 m. How long does it take to reach the ground?

A.3 s

B.4.5 s

C.9 s

D.√45 s

Explanation: s = (1/2)gt² with u = 0: 45 = 5t² ⇒ t² = 9 ⇒ t = 3 s.

8A projectile is launched with speed 20 m/s at 30° above the horizontal. Take g = 10 m/s². What is the initial vertical component of velocity?

A.10 m/s

B.20 m/s

C.10√3 m/s

D.20√3 m/s

Explanation: u_y = u sin θ = 20 sin 30° = 20 × 0.5 = 10 m/s.

9For a launch of 20 m/s at 30° (g = 10 m/s²), what is the initial horizontal component of velocity?

A.10√3 m/s

B.10 m/s

C.20 m/s

D.5 m/s

Explanation: u_x = u cos θ = 20 cos 30° = 20 × (√3/2) = 10√3 m/s.

10A force of 15 N acts on a particle of mass 3 kg. Ignoring all other forces, what is the magnitude of the acceleration?

A.5 m/s²

B.45 m/s²

C.0.2 m/s²

D.18 m/s²

Explanation: Newton’s second law: F = ma ⇒ a = F/m = 15/3 = 5 m/s².

About the LC Applied Maths Practice Questions

Verified exam format metadata for Leaving Certificate Applied Mathematics (Ireland) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.

100+ Free LC Applied Maths Practice Questions

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Key Facts: LC Applied Maths Exam

Sample LC Applied Maths Practice Questions

About the LC Applied Maths Practice Questions