Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The clock face is a circular dial numbered from to . Between any two consecutive numbers, there are smaller minute divisions. To read the time to the nearest minutes, we count the gaps between numbers by .
The clock has two main hands: the shorter hand is the Hour Hand and the longer hand is the Minute Hand. The hour hand tells us the hour, and the minute hand tells us how many minutes have passed since that hour started.
To find the minutes, look at the number the long minute hand is pointing to and multiply that number by . For example, if the minute hand points to , the minutes are . Visually, you can imagine jumping around the clock: at , at , at , and so on.
When the minute hand points to , it is called Quarter Past. This represents minutes. Visually, the minute hand has moved one-fourth of the way around the clock face.
When the minute hand points to , it is called Half Past. This represents minutes. At this point, the minute hand has traveled halfway around the circle, and the hour hand will be exactly halfway between two numbers.
When the minute hand points to , it is called Quarter To. This represents minutes past the current hour or minutes remaining until the next hour. Visually, the minute hand has completed three-quarters of its journey around the clock.
The hour hand moves slowly as the minute hand moves. If the hour hand is between two numbers, such as and , we always read the smaller number () as the hour, because it has passed but hasn't reached yet.
Time is written in the digital format as . The first part () represents the hour, and the second part () represents the minutes. A colon () is used to separate them.
📐Formulae
💡Examples
Problem 1:
Determine the time when the hour hand is between and , and the minute hand is pointing exactly at .
Solution:
- Identify the hour: The hour hand is between and , so the hour is .
- Calculate the minutes: The minute hand is at . Multiply the number by : minutes.
- Combine: The time is .
Explanation:
Since the hour hand hasn't reached yet, the hour remains . We use the -times table for the minute hand position () to find the minutes.
Problem 2:
Write the digital time for 'Quarter to '.
Solution:
- Understand 'Quarter to': This means minutes are left before the next hour.
- Minutes: 'Quarter to' always means the minute hand is at , so minutes.
- Hour: Since it is 'to ', it is not o'clock yet. The current hour is .
- Result: The time is .
Explanation:
In 'Quarter to' expressions, the digital hour is always one less than the hour mentioned, and the minutes are always .