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Drop the whole cycles, jump the whole units, and only count what is left over. When several things share the time, draw each as a bar, then see how the bars meet.

  1. 1Repeating Patterns5:59
  2. Now playing: 2Totals over Cycles5:12
  3. 3Calendars6:30
  4. 4Elapsed Time5:41
  5. 5Overlapping Time Periods3:55
  6. 6Time Spans4:11

Cycles and Time: Totals over Cycles

Methods in this video

Tap a time to jump to where the video teaches that method.

  1. 1

    Total? Keep the full cycles, add the leftover

    When to use it: Something repeats, each full cycle adds the same amount (distance, arrivals, items of one colour), and the question asks for the total, with an unfinished cycle at the end.

    • Write down the cycle length and what each full cycle adds, then divide the total by the cycle length.
    • Keep the full cycles: multiply the quotient by what each cycle adds.
    • Keep the leftover too: walk it from the start of a cycle. The event may happen partway through, so add only what really happens.

Practise exam-style questions with these methods

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