Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Duration is the measurement of how long an event lasts. It is the time elapsed between the starting time and the finishing time. Visualize a timeline where the start time is a point on the left and the end time is a point on the right; the length of the line connecting them represents the duration.
The 12-hour clock system uses (Ante Meridiem) for the time from midnight to noon and (Post Meridiem) for the time from noon to midnight. Visualize a circular clock face where the hour hand completes two full circles every day—the first circle for and the second for
To calculate the duration of an event, we find the difference between the end time and the start time. If the minutes in the end time are smaller than the start time, we borrow () from the hour column. Imagine a vertical subtraction table with 'Hours' and 'Minutes' columns.
Time units are hierarchical: make , make , and make . Visualize a set of nesting boxes where tiny 'second' blocks fit into 'minute' box, and 'minute' boxes fit into 'hour' box.
A calendar helps track days, weeks, and months. There are in a week and in a year. Visualize a grid with columns representing the days of the week (Sunday to Saturday) and several rows representing the weeks in a month.
The number of days in months varies between and . You can use the 'Knuckle Rule' to remember: knuckles represent months with (January, March, May, July, August, October, December), while the gaps between knuckles represent months with (April, June, September, November), except February.
A leap year occurs every years and has instead of . In a leap year, February has instead of . Imagine a calendar where an extra block is added to the end of February once every four years.
📐Formulae
💡Examples
Problem 1:
A school bus starts its journey at and reaches the school at Find the duration of the journey.
Solution:
- Write the end time:
- Write the start time:
- Subtract the minutes: .
- Subtract the hours: .
- Total duration = .
Explanation:
To find the duration, we subtract the start time from the end time. Since minutes is greater than minutes, we can subtract directly without borrowing.
Problem 2:
Convert into total minutes.
Solution:
- We know that .
- Multiply the hours by : .
- Add the remaining minutes: .
- Total = .
Explanation:
To convert hours to minutes, we use the multiplication rule () and then add the extra minutes to get the final result.