Class 8 Maths - ICSE
Percent and Percentage (ICSE)
The chapter 'Percent and Percentage' in Class 8 ICSE Mathematics introduces students to the concept of 'per cent' meaning per hundred, bridging fractions, decimals, and ratios. This chapter is fundamental for building financial literacy as it forms the base for advanced commercial mathematics topics in higher classes, such as Profit and Loss, Simple and Compound Interest, and Discount. In board and school examinations, this topic carries significant weight, usually contributing 6 to 10 marks through direct conversion problems and practical word problems based on population growth, examination scores, and price variations.
Start Learning FreeKey Concepts
Meaning of Percentage
A percentage is a fraction or ratio in which the denominator is always 100, denoted by the symbol %.
Conversion of Fractions/Decimals to Percentage
To convert any fraction or decimal into a percentage, multiply the given number by 100 and add the percent sign (%).
Conversion of Percentage to Fractions/Decimals
To convert a percentage into a fraction or decimal, remove the percent sign and divide the number by 100.
Finding Percentage of a Quantity
To find a specific percentage of a given quantity, convert the percentage into a fraction and multiply it by that quantity.
Percentage Increase and Decrease
Percentage increase or decrease is calculated by finding the absolute change, dividing it by the original value, and multiplying by 100.
Important Formulas
Board Exam Info
In ICSE Class 8 Mathematics examinations, this chapter typically carries about 6 to 8 marks. Questions usually appear as 2-mark conversion problems in Section A and 3 to 4-mark word problems involving percentage change, population growth, or exam marks in Section B.
Frequently Asked Questions
How do I convert a percentage into a fraction in its simplest form?
Remove the percent sign, place the number over 100, and then reduce the fraction to its lowest terms by dividing the numerator and denominator by their highest common factor (HCF).
What is the difference between percentage and percent?
Percent means 'per hundred' and is the rate or ratio, while percentage refers to the actual amount or value calculated out of a total quantity based on that percent rate.
Why is the original value always used in the denominator for percentage increase or decrease?
The original value represents the baseline or starting point from which the change occurs, making it the standard reference point for measuring growth or reduction.
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