• Time Allowed: 2 Hours (120 minutes).

• Total Marks: 270 Marks.

• Format: One single paper containing all strands (Statistics, Geometry, Algebra, Number, Functions).

• Question Count: This is not fixed. It varies slightly year-to-year:

  • 2025: 13 Questions

  • 2024: 13 Questions

  • 2023: 14 Questions

  • 2022: 12 Questions

An analysis of the last 5 exam papers, including the deferred sittings, identifies consistent patterns in topic distribution.

There has been a dramatic shift in the weighting of Algebra in the most recent paper.

• Trend: In 2025, Algebra appears in 6 different questions (Q7, Q9, Q10, Q11, Q12, Q13).

• Contrast: In previous years (2023-2024), Algebra typically appeared in only 2 or 3 questions.

• Insight: This suggests a move towards integrating Algebra into broader contexts (like Functions and Statistics) rather than isolating it, making it the dominant thread of the 2025 paper.

Question 6 acts as a specific "slot" for two distinct topics, which seem to alternate or switch in blocks.

• Trend: Q6 is almost exclusively reserved for either Geometry - Constructions or Sets.

• Pattern:

  • 2024 & 2025: Geometry - Constructions

  • 2022 & 2023: Sets

• Insight: This indicates a predictable structure where students can expect one of these two manual/visual topics at the midpoint of the exam.

While other topics shift around, Trigonometry has found a stable home in the middle of the paper.

• Trend: Trigonometry has appeared as Question 8 in 3 of the last 4 years (2022, 2023, and 2025).

• Shift: In the Sample Paper and 2024, Trigonometry was heavily weighted at the very end (Q12-Q14). The recent trend moves a core Trigonometry question to the center of the exam (Q8), leaving the final questions (Q12-Q13) open for mixed Algebra/Functions problems

Use this table to identify which topics appeared in specific questions across recent years. This includes data from standard and deferred sittings.

The Junior Cycle Maths exam is a sprint, not a marathon. You have 2 hours (120 minutes) to earn 270 marks.

Time management is the biggest challenge at Higher Level. You have slightly less than half a minute for every mark available.

• 10 Mark Question: ~4 minutes

• 15 Mark Question: ~6 minutes

• 20 Mark Question: ~8 minutes

To keep it simple during the stress of the exam, look at the marks for a section and divide by 2.

• Example: If a section is worth 20 marks, aim to finish it in 10 minutes.

• This strategy naturally builds in a small buffer (approx. 10–15 minutes total) at the end of the exam to review your work or return to a difficult question you skipped. If you spend 15 minutes on a 10-mark question, you are borrowing time from questions you haven't seen yet. Move on

Download official SEC exam papers and our annotated solutions. These are official papers that provide excellent, unseen practice material.

2025

• [Download 2025 Paper]

2024

• [Download 2024 Paper] | [Download DAE Solutions]
  

2023

• [Download 2023 Paper] | [Download DAE Solutions]

2022

• [Download 2022 Paper] | [Download DAE Solutions]

Follow this structured approach to cover the syllabus efficiently.

Goal: Secure the accessible early marks (Q1–Q4) and build the algebraic fluency required for the heavy lifting later.

• Month 1: Number Systems & Applied Arithmetic

  • Topics: Currency exchange, tax, compound interest, sets (basic).

  • Exam Focus: These are consistently Q1–Q3 topics.

  • Key Skill: Rounding & Significant Figures. Drill this now so you don't lose "slip marks" all year.

• Month 2: Algebra I (The Basics)

  • Topics: Simplifying expressions, substitution, solving linear equations, transposing formulas.

  • Strategy: Treat this as learning a language. If you can't "speak" linear equations, you will fail Coordinate Geometry later.

• Month 3: Statistics & Probability

  • Topics: Averages, stem-and-leaf, fundamental principle of counting, probability scale.

  • Exam Focus: Often Q2 or Q4. These questions are text-heavy; practice highlighting keywords to avoid misinterpretation.

• Month 4: Algebra II (The Heavy Lifting)

  • Topics: Factorising (CF, DOTS, Quadratics), algebraic fractions, inequalities.

Critical Checkpoint: You must master inequalities (remembering to flip the sign) and quadratics before Christmas. These are the tools for the 2025-style paper.

Goal: Apply your algebra to "visual" topics and prep for the specific "Anchor Questions."

• Month 5: Functions & Graphs

  • Topic: Plotting linear/quadratic/exponential functions.

  • The "Algebra Backbone" Link: Don't just draw graphs. Practice solving f(x) = g(x) using algebra (Simultaneous Equations). This is a classic "crossover" question.

• Month 6: Coordinate Geometry & The Line

  • Topics: Slope, distance, midpoint, equation of a line (y = mx + c).

  • Exam Focus: This is algebra in disguise. Focus on manipulating the formulas.

• Month 7: Trigonometry (The Q8 Anchor)

  • Topics: Pythagoras, SOHCAHTOA.

  • Strategy: Since this is consistently Question 8, drill this as a standalone block. Master finding missing sides vs. missing angles (inverse sine/cos/tan).

• Review for Mocks: Focus on Timing Strategy (0.4 mins per mark). Do not worry if Geometry isn't fully done; focus on accuracy in Algebra and Arithmetic.

Goal: Master the "Manual" topics and eliminate the "4 Common Errors."

• Month 8: Geometry (Theorems & Proofs)

  • Topics: Angles, triangles, parallel lines, circle theorems.

  • Focus: You don't need to memorize every proof, but you must know how to apply the theorems to find missing angles.

• Month 9: The "Q6 Pivot" Prep (Constructions & Sets)

  • Strategy: Since Question 6 alternates between Constructions and Sets, spend 2 weeks strictly on these.

  • Technical Drill: Practice constructions with a sharp pencil. Do not erase your arcs.

• Month 10: Applied Measure (Area & Volume)

  • Topics: Cylinders, spheres, cones.

  • The Trap: This is where "Unit Blindness" happens. Practice writing the units (cm^2, m^3) before you calculate.

  • Integration: Expect questions like "Find the radius r given the Volume". This requires... Algebra.

Do not do random revision. Use this checklist based on the 2025 Marking Scheme patterns:

1. The "Partial Credit" Hunt: Practice writing down the first step (formula) for 10 distinct difficult questions. Prove to yourself that you can get 3/10 marks without solving it fully.

2. Algebra Audit: Pick a random exam year. Circle every question that requires Algebra. It will be ~50% of the paper. Do those first.

3. Calculator Check: Ensure your calculator is in Degrees (D), not Radians (R), for Trigonometry.

These are frequent errors identified by our teachers that result in lost marks.

1. The "Invisible" Construction Arcs

• The Error: Students perform a correct geometric construction (e.g., bisecting an angle) and then erase their pencil arcs to make the diagram look "neat."

• The Fix: Never erase your construction lines. The examiner needs to see the arcs to prove you used a compass and didn't just guess with a protractor/ruler. Neatness is good; erasure is bad.

2. Significant Figures vs. Decimal Places

• The Error: The question asks for an answer to "2 significant figures," but the student provides "2 decimal places."

• The Fix:

  • 2 Decimal Places: 3.14159 -> 3.14 (Look at the dot).

  • 2 Significant Figures: 0.00314159 -> 0.0031 (Look for the first non-zero digit).

• Always re-read the rounding instruction at the very end of the calculation.

3. Inequality Sign Flipping

• The Error: When solving a linear inequality, students forget to reverse the inequality symbol when multiplying or dividing by a negative number.

• The Fix: If you have -2x > 10 and you divide by -2 the arrow must flip: x < -5. If you forget this, the entire solution set is wrong.

4. Forgetting the Unit

• The Error: Calculating the correct numerical value for Area or Volume but failing to square or cube the units.

• The Fix:

  • Length = cm or m

  • Area = cm^2 or m^2

  • Volume = cm^3 or m^3

• Write the unit down before you even do the calculation to ensure you don't forget it in the final rush

Effective preparation requires consistent practice and expert guidance. Join the Dublin Academy of Education for focused tuition that delivers results.

Review the exact history of every question from the last six years of standard sittings. Use this matrix to identify "Anchors" — questions that remain consistent year after year.