Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Animals have varying sleep durations depending on their biological needs and environment. For example, a Python sleeps for hours while a Giraffe sleeps for only hours.
The Sloth is a unique animal that spends almost hours a day sleeping while hanging upside down on a tree branch. It eats the leaves of the same tree and lives for about years.
Hibernation (Winter Sleep): Some animals, like lizards, are not seen during the winter season because they go into a long, deep sleep to survive the cold. This is known as 'Winter Sleep'.
Sleep Clocks: In textbooks, a -hour cycle is often represented by a circle divided into equal sectors. Since there are hours in a day, each sector represents hours.
Nocturnal animals are active during the night and usually sleep during the day, whereas Diurnal animals are active during the day and sleep at night.
The relationship between total hours and sectors can be expressed as: .
📐Formulae
💡Examples
Problem 1:
In a -hour clock diagram divided into sectors, the sleep pattern of a house cat shows shaded sectors. Calculate the total hours the cat sleeps in a day.
Solution:
Explanation:
In a -sector clock representing hours, each sector equals hours. Since sectors are shaded, the total sleep time is hours.
Problem 2:
A Sloth sleeps for hours. If we represent this on a -sector clock where each sector is hours, approximately how many sectors should be shaded?
Solution:
Explanation:
To find the number of sectors, we divide the total sleep hours by the value of one sector ( hours). Thus, sectors would be shaded to represent the Sloth's sleep.
Problem 3:
If an animal sleeps for of a day, calculate its sleeping hours and determine if it sleeps more than a Python ( hours).
Solution:
Explanation:
By multiplying the fraction of the day by hours, we find the animal sleeps for hours. This is exactly equal to the sleep duration of a Python.