Percentage Class 6 ICSE — Chapter 9
Percentage Class 6 ICSE is Chapter 9 of the Mathematics textbook. This chapter teaches what percent means, how to convert between fractions, decimals and percentages, and how to apply percentage to everyday problems. You will learn to express one quantity as a percentage of another, find a percentage of a given quantity, and compute percentage increase and decrease. Worked examples throughout show each step clearly.
Download Percentage Class 6 ICSE Mathematics Chapter 9 PDF
Download the Percentage Class 6 ICSE Mathematics chapter PDF to revise offline or print for practice. It is the full chapter as printed in the book — 8 pages, 8 sections, 47 questions.
What is inside Chapter 9
8 pages · 8 sections · 10 worked examples · 47 exercise questions
| Section | Title |
|---|---|
| 9.1 | PERCENT |
| 9.2 | PERCENTAGE |
| 9.3 | CONVERTING A GIVEN FRACTION OR DECIMAL INTO PERCENTAGE (PERCENT FORM) |
| 9.4 | CONVERTING A GIVEN PERCENTAGE INTO A FRACTION OR DECIMAL |
| 9.5 | EXPRESSING ONE QUANTITY (NUMBER) AS A PERCENTAGE OF THE OTHER |
| 9.6 | FINDING PERCENTAGE (PERCENT) OF A GIVEN QUANTITY |
| 9.7 | TO FIND THE INCREASE OR DECREASE IN PERCENT |
| 9.8 | PROBLEMS RELATED TO ENVIRONMENT |
- EXERCISE 9(A): 6 questions
- EXERCISE 9(B): 15 questions
- EXERCISE 9(C): 11 questions
- Revision Exercise (Chapter 9): 15 questions
9.1 PERCENT
The word percent comes from two parts. Per means “for every” or “out of”, and cent means “hundred”. Together, percent means “for every hundred” or “out of hundred”. The symbol % represents percent.
Consider an exam with 100 marks. A student who secures 78 marks has scored 78 percent. The reverse also holds. A score of 67 percent means 67 marks out of 100. This meaning stays constant through every conversion and word problem in the chapter.
Percent appears in marks, prices, populations and surveys. Whenever you see the % symbol, read it as “out of 100”. That one habit makes every later formula easier to remember.
9.2 PERCENTAGE
Percentage is the numerator of a fraction whose denominator is 100. For instance, 60 out of 100 written as a fraction is \frac{60}{100}, so the percentage is 60, written as 60%.
To write any fraction as a percentage, scale it so the denominator becomes 100. Multiply the numerator and denominator by the same factor. The textbook treats percent and percentage as interchangeable, so you can use either word.
Worked pattern: \frac{9}{25} = \frac{9 \times 4}{25 \times 4} = \frac{36}{100} = 36\%. The fraction 9 out of 25 equals 36 out of 100, which is 36 percent. This scaling method works for any fraction whose denominator divides evenly into 100.
9.3 CONVERTING A GIVEN FRACTION OR DECIMAL INTO PERCENTAGE (PERCENT FORM)
The rule is one sentence: multiply the given fraction or decimal by 100 and write the % sign at the same time. The % sign goes on while you multiply, not after simplifying.
Worked pattern with a fraction: \frac{1}{8} = \frac{1}{8} \times 100\% = 12.5\%. Worked pattern with a decimal: 0.6 = 0.6 \times 100\% = 60\%.
This single rule converts any fraction or decimal into percent form. You will use it in almost every question in the exercises that follow this section.
9.4 CONVERTING A GIVEN PERCENTAGE INTO A FRACTION OR DECIMAL
This section reverses the previous rule. Remove the % sign and divide by 100. Then reduce the fraction to its lowest terms, or write the result as a decimal.
When you divide a whole number by 100, place the decimal point two digits from the right. When you divide a decimal by 100, shift the point two places left. For 45%: 45\% = \frac{45}{100} = \frac{9}{20}. As a decimal, 45\% = 0.45.
Edge case: 12\frac{1}{2}\% = \frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8}. The mixed fraction becomes a decimal first, then a fraction. This edge case for a decimal percent tests your careful division and simplification.
9.5 EXPRESSING ONE QUANTITY (NUMBER) AS A PERCENTAGE OF THE OTHER
Rule: divide the first quantity by the second, and multiply the result by 100%. Two cautions matter here. First, percent has no unit. Second, both quantities must share the same unit before you divide.
Worked pattern: express 40 cm as a percentage of 2 m. Convert 2 m to 200 cm first. Then \frac{40}{200} \times 100\% = 20\%. If you skip the conversion and divide 40 by 2, you get a wrong answer.
A common mistake is forgetting the unit conversion. Always check that both quantities are in the same unit. This one check decides most marks on these sums. For more practice with unit conversions and related topics, see the Class 6 Maths book page.
9.6 FINDING PERCENTAGE (PERCENT) OF A GIVEN QUANTITY
Method: express the given percent as a fraction and multiply by the given quantity. Worked pattern: 30\% \text{ of } ₹240 = \frac{30}{100} \times ₹240 = ₹72.
The complement method is useful when the problem gives some percentages and asks for the rest. If 40% of a class are girls, then 100% − 40% = 60% are boys. Worked pattern: a class of 40 students, 25% girls. Girls = \frac{25}{100} \times 40 = 10, boys = 40 − 10 = 30.
The same complement idea works with three groups. If 20% of a school got first division and 55% got second, then 100% − 20% − 55% = 25% just passed. For 200 students, \frac{25}{100} \times 200 = 50 students just passed. This method appears often in Class 6 ICSE problems.
9.7 TO FIND THE INCREASE OR DECREASE IN PERCENT
Two formulas govern this section.
\text{Increase \%} = \frac{\text{Increase in value}}{\text{Original value}} \times 100\%
\text{Decrease \%} = \frac{\text{Decrease in value}}{\text{Original value}} \times 100\%
Worked pattern for increase: a price rises from ₹50 to ₹65. The increase is ₹15. So \frac{15}{50} \times 100\% = 30\%. The original value is always the denominator, never the new value.
Sequential pattern: from ₹2,000, one-fourth is saved. Savings = \frac{1}{4} \times 2000 = ₹500. Remainder = ₹1,500. Then 25% of the remainder is spent on travel: \frac{25}{100} \times 1500 = ₹375.
These two-step problems test your ability to find the remainder before applying the next percentage. They prepare you for the Profit and Loss chapter in Class 6 Maths.
9.8 PROBLEMS RELATED TO ENVIRONMENT
This section applies percentage to real environmental data. The pattern always includes a complement step: 100% minus the given percentage.
Worked pattern: 3% of a 4,00,000 m³ body of water is fresh. Fit-for-drinking amount = \frac{3}{100} \times 4,00,000 = 12,000 m³. The unfit portion = (100 − 3)% = 97%.
The chapter ties these ideas to the water and air tables in the revision exercise. You apply the same percent-as-fraction method you learned in section 9.6. The official CISCE syllabus for Class 6 Mathematics covers percentage as part of arithmetic. Check the CISCE website for the current syllabus and exam format.
What to practise from Percentage Class 6 ICSE
- EXERCISE 9(A) — 6 questions on percent form, fraction and decimal conversion
- EXERCISE 9(B) — 15 questions on one quantity as a percent of another and percent of a quantity
- EXERCISE 9(C) — 11 questions on increase, decrease and environment problems
- Revision Exercise (Chapter 9) — 15 questions covering the whole chapter
Percentage Class 6 ICSE frequently asked questions
What is percentage in class 6 ICSE?
Percentage is the numerator of a fraction whose denominator is 100. It tells you how many parts out of 100 you have. The symbol % stands for percent.
How do you convert a fraction into a percentage for class 6 ICSE?
Multiply the fraction by 100 and write the % sign. For example, \frac{1}{8} \times 100\% = 12.5\%.
Why do both quantities need the same unit for percentage class 6 ICSE sums?
Percent has no unit, so you cannot divide quantities of different units. Convert 2 m to 200 cm before computing 40 cm as a percentage of 2 m.
What is the percentage increase and decrease formula for class 6 ICSE?
Increase % = (increase in value ÷ original value) × 100%. Decrease % = (decrease in value ÷ original value) × 100%.
How many questions are in the Percentage chapter exercises for class 6 ICSE?
Exercise 9(A) has 6 questions, Exercise 9(B) has 15, Exercise 9(C) has 11, and the Revision Exercise has 15.
Reference: ICSE Class 6 Mathematics textbook material, chapter 9: Percentage — CISCE-aligned.