Mathematics
Advanced
50 mins
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Learning Outcomes
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+85 XP
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Time and Money Problem-solving Review

Solve multi-step problems that chain time and money together: find arrival times, apply discounts, and work out change, carrying each answer forward to unlock the next clue.

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    1 - Getting Started ~4 mins

    Illustration for Getting Started

    Example

    Here is an example train timetable and a ticket card side by side. The card says: Train ticket €18, 20% early-bird off if you arrive before 12:00. One problem today will use both. First, the elapsed time: the 09:00 train from Cork takes 2 hours 35 minutes. What time do we arrive?

    👇 Mark your steps as done as you complete them.

    +5 XP

    2 - Watch and Notice ~9 mins

    Watch an example timetable for the Cork to Dublin Irish Rail route on the board. Next to it is our ticket card: €18 ticket, 20% early-bird off if you arrive before 12:00. We will resolve one clue, then use its answer inside the next clue. First: which service leaves and arrives, and how long is the journey? Then we check the arrival time against the card and knock the sale off the fare.

    👇 Mark your steps as done as you complete them.

    +10 XP

    3 - Try It Together ~11 mins

    Today we work through this clue chain together on the board. First, find the arrival time of the 09:00 service into Heuston. The timetable prints the arrival, so read it off, then count up to confirm the 2h 35m journey. Next, check that arrival time against our card on the board: arrive before 12:00 = 20% off. Then take the €18 fare, knock the 20% off, and work out the change from €20. We name each carried-forward number aloud before we use it.

    Follow the 09:00 service

    +10 XP

    4 - Work Each Clue in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, work each clue in turn. Show your time calculation, then your money working, and carry the answer forward to the next clue. Draw a short line between clues so it is clear which number you passed on.

    +10 XP

    5 - Class Challenge ~12 mins

    Today we crack a five-clue mystery together. Keep every answer ready, you may need an earlier one again:

    1. A train leaves at 15:40 and takes 1 hour 50 minutes — find the arrival time.
    2. If you arrive before 18:00, the €25 ticket earns 20% off, find what you pay.
    3. You hand over €30 — find your change.
    4. The change is shared equally between 4 friends, how much each?
    5. The meeting is 45 minutes after your arrival — find the meeting time.
    Key point

    For this challenge: tickets used before 18:00 get 20% off (early-bird fare). Say each carried number aloud before you use it.

    1. Clue 1: A train leaves at 15:40 and the journey takes 1 hour 50 minutes. What time does it arrive?
    2. Clue 2: Because you arrive before 18:00, the €25 ticket gets 20% off. What do you pay?
    3. Clue 3: You hand over €30. How much change do you get?
    4. Clue 4: The €10 change is shared equally between 4 friends. How much does each get?
    5. Clue 5: The meeting is 45 minutes after the 17:30 arrival. What time does it start?
    Answers & strategies (teacher)
    1. Clue 1: A train leaves at 15:40 and the journey takes 1 hour 50 minutes. What time does it arrive? — 17:30
    2. Clue 2: Because you arrive before 18:00, the €25 ticket gets 20% off. What do you pay? — €20.00
    3. Clue 3: You hand over €30. How much change do you get? — €10.00
    4. Clue 4: The €10 change is shared equally between 4 friends. How much does each get? — €2.50
    5. Clue 5: The meeting is 45 minutes after the 17:30 arrival. What time does it start? — 18:15
    +15 XP
    Pupil practice
    Module 6 · Time and Money Measures
    Lesson 74 · Time and Money Problem-solving Review
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