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60 mins
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Full-course Exam Prep

This lesson prepares you for the 2-hour written paper by practising exam-style questions from all four modules. You review key habits, work model answers together and complete independent practice before recording solutions.

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    1 - Getting Started ~5 mins

    You have banked four Key Assignments across the course. The last 10 credits sit on a 2-hour written paper of problems set in real contexts: planning, the world around you, life skills and work.

    Today you practise that paper style. You will see how the paper is built, walk two model answers with the class, then work a mixed set yourself and file the answers in your Maths Portfolio.

    2 - What You'll Learn ~8 mins

    The written paper is not a memory test. It asks you to use the maths you already know on fresh real-life situations. Three habits carry the marks: pick the right method, show every step, and finish with a sentence that answers the real question.

    ConceptWhy it mattersExample
    Contextual problem — a question set in a real situation where you choose the maths and explain the resultEvery SEC Mathematical Applications question is written this way; abstract drill does not appearA bus journey from Cork to Dublin with two possible routes, asking which is cheaper and faster
    Timing strategy — a simple plan for how long each main question gets inside 2 hoursRunning out of time on the last question costs easy marks you already knew how to earnAbout 2025 minutes per main multi-part question, then 1015 minutes left to check units and sentences
    Show the working — every step written down, not just the final numberMethod marks are awarded even when the final figure is slightly wrong4.2 × 3.5 = 14.7 m², then 14.7 × €22 = €323.40
    Interpretation sentence — one plain sentence that answers the real question with the unitA bare number with no unit and no meaning is incomplete applied mathsSo the wall needs 14.7 m² of paint, costing €323.40 at €22 per m²

    Paper shape and timing

    The formal exam is SEC-administered at an exam centre at the end of Year 2. It is 2 hours long. Questions draw on MCS 15 through the four module topics. A practical classroom timing plan many students use:

    • Read the full paper once (about 5 minutes) and mark the questions you feel strongest on.
    • Aim for roughly 2025 minutes per main multi-part question.
    • Leave 1015 minutes at the end to recheck units, decimal places and interpretation sentences.
    • If you stick on a part, write what you know, leave a gap, and move on. Come back later.
    The Formulae and Tables booklet

    A copy of the Formulae and Tables booklet is handed out by the superintendent in the exam hall. Most students have never opened one, and the hall is a bad place to start.

    Open one now and find, for yourself, the handful of formulae this course actually uses:

    • area of a rectangle, and its perimeter
    • area of a circle
    • volume of a cylinder

    Note the page each one is on. You are not being asked to memorise the booklet, only to know it exists, know roughly where things are, and not lose time hunting.

    3 - Try It Yourself ~17 mins

    Work two exam-style problems with the class. For each one, predict the method before the working appears, then check your steps against the model answer. Notice the four habits every time: method, working, unit, sentence.

    Problem 1 (Planning): A community centre room measures 6.4 m by 4.5 m. Vinyl flooring costs €28 per m². How much flooring is needed, and what does it cost?

    Problem 2 (Work): Aoife works 32 hours at €13.50 per hour, plus 4 overtime hours at time-and-a-half. What is her gross pay for the week?

    Two exam-style model answers

    4 - Your Mixed Practice Set ~15 mins

    Now work four exam-style problems on your own. They draw on all four modules. For each one: choose the method, show every step, attach the unit, and finish with one interpretation sentence.

    1. World around me: A class survey of 40 students found that 24 preferred a school show and 16 preferred a sports day. What percentage preferred the school show? What is that preference as a simplified fraction?
    2. Life skills: Sam's monthly take-home pay is €1,480. Fixed costs are €620 (phone, transport, rent contribution). Variable costs average €510. How much can Sam save each month, and how many whole months to save €1,400 for a used scooter?
    3. Planning: A rectangular stage is 8 m long and 5 m wide. Skirting board is needed for the full perimeter, with a 1 m gap left for steps. Skirting costs €4.50 per metre. What length is needed, and what does it cost?
    4. Work: A job needs 3 tins of paint at €24.50 each, 5 hours of labour at €18 per hour, and a 10% overhead on materials and labour combined. What is the total before VAT?

    Work each problem in order. Show every step. Finish each one with a one-sentence interpretation that includes the unit.

    Work through these in order:

    1. Survey of 40 students: 24 preferred a school show, 16 preferred a sports day. Percentage and simplified fraction who preferred the school show.
    2. Sam: take-home €1,480; fixed €620; variable €510. Monthly savings, and whole months needed to save €1,400.
    3. Stage 8 m by 5 m. Skirting for full perimeter minus 1 m gap for steps, at €4.50 per metre. Length needed and total cost.
    4. Paint 3 × €24.50, labour 5 × €18, then 10% overhead on materials and labour combined. Total before VAT.

    5 - Record Your Full-course Exam Prep ~10 mins

    Start a Full-Course Exam Prep page in your Maths Portfolio. This page is your final Portfolio Build for Mathematical Applications — there is no separate printed handout.

    Enter your working for each of the four mixed-practice problems onto the page, one problem per block. Show every step, put the unit after every figure, and complete both parts where a question has two answers (for example percentage and fraction). Finish with the interpretation prompt at the bottom. When the portfolio page is complete, file it in your Maths Portfolio.

    Work each row in order onto a fresh page in your Maths Portfolio. Show the working, not just the answer.

    Write these down the page, leaving room under each for your answer:

    1. Q1 working: percentage who preferred the school show — show the working
    2. Q1 working: simplified fraction — show the working
    3. Q2 working: monthly savings (€) — show the working
    4. Q2 working: whole months to save €1,400 — show the working
    5. Q3 working: skirting length needed (m) — show the working
    6. Q3 working: skirting cost (€) — show the working
    7. Q4 working: materials + labour subtotal (€) — show the working
    8. Q4 working: 10% overhead and total before VAT (€) — show the working
    9. Pick one of the four questions. Write two sentences: (1) what your answer means in real life, and (2) one timing habit you will use in the 2-hour paper (for example, leave 10–15 minutes to check units and sentences).
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