Exercise 6.1 : Math Worksheet PDF

## Exercise 6.1 1. In class 5, there are 100 students. Out of them, 45 are boys. What is the percentage of girls? 2. Rajni spent ₹40 out of his pocket money of ₹100. Express her savings as a percentage. 3. Out of a class of 20 students, 18 students passed in Mathematics. What is the percentage of st...

## Exercise 6.1 1. In class 5, there are 100 students. Out of them, 45 are boys. What is the percentage of girls? 2. Rajni spent ₹40 out of his pocket money of ₹100. Express her savings as a percentage. 3. Out of a class of 20 students, 18 students passed in Mathematics. What is the percentage of students who passed in Mathematics? 4. Out of 25 working days in a month, Anu was absent for 2 days. What was her percentage of attendance for the month? 5. 5 mL of milk is added to every 20 mL of water to make tea. What percentage of milk is there in a cup of tea? **A. Convert the following fractions as percentages:** - (a) 3/4 = 75% - (b) 5/10 = 50% - (c) 9/20 = 45% - (d) 12/25 = 48% - (e) 95/100 = 95% - (f) 8/10 = 80% - (g) 2/3 = 66.66% - (h) 5/6 = 83.33% - (i) 8/9 = 88.88% - (j) 4/7 = 57.14% - (k) 1/3 = 33.33% **B. Express the following percentages as fractions:** - (a) 20% = 1/5 - (b) 12 1/2% = 1/8 - (c) 8% = 2/25 - (d) 125% = 5/4 - (e) 75% = 3/4 - (f) 160% = 8/5 **C. Express the following decimals as percentages:** - (a) 0.4 = 40% - (b) 0.04 = 4% - (c) 0.45 = 45% - (d) 0.25 = 25% - (e) 1.55 = 155% - (f) 25.50 = 2550% **Worksheet:** * Human body is made up of 50% muscles, 20% fats, 18% bones and 12% other parts. Rewrite the sentence using fractions. * On a rainy day, 96% of students were present in a school and 36 students were absent. Find the total strength of the school. * What per cent is: - (a) 150 of ₹300 = 50% - (b) 75 p of ₹5 = 15% - (c) 500 m of 4 km = 12.5% - (d) 250 mL of 2 L = 12.5% - (e) 50 g of 1 kg = 5% - (f) 125 p of ₹10 = 12.5% * Fill in the blanks: - To convert a fraction into a percentage, multiply the fraction by 100. - 75% in a decimal is represented by 0.75. - 1/12 in a fraction is represented by 8.33%. - 0.12 in the percentage is represented as 12%. - 4% of 5 kg is 400 g. - 100% is represented in a fraction as 1. * Choose the correct options. - 25% of ₹5 is ₹1.25 - 15% of a metre is 15 cm - 75% is converted into a decimal as 0.75 - Per cent means out of hundred - 3% of ₹500 is ₹15 **10. What percent of 2 kg is 500 g?** (a) 25% **11. The population of a town increases 10% annually. If its present population is 20,000, its population after 2 years will be** (c) 24200 **12. Ashok has filled 15 L of petrol in his car. If 30% of the petrol is consumed, the petrol left is** (a) 13 L **13. 15% of the 2000 apples were found rotten. How many were not rotten?** (c) 1700 **14. Potatoes are purchase @₹15 per kg and sold @21 per kg profit percentage is** (c) 40% **15. 20 mL of milk is added to way 80 mL of water to milk tea. Percentage of milk in tea is** (b) 20% **9. Express the following percentages as decimals:** - (a) 3% = 0.03 - (b) 4% = 0.04 - (c) 20% = 0.2 - (d) 75% = 0.75 - (e) 120% = 1.2 - (f) 12% = 0.12 **10. Express the following as the percentage of a rupee.** - (a) 40 paise = 40% - (b) 25 paise = 25% - (c) 5 paise = 5% **11. Express the following as the percentage of a kilogram.** - (a) 25 g = 2.5% - (b) 250 g = 25% - (c) 750 g = 75% **12. Express the following as the percentage of a kilometre.** - (a) 25 m = 2.5% - (b) 25 cm = 0.025% - (c) 250 m = 25% **Finding the Percentage of a Given Quantity** **Example 6:** Jyoti scored 92% marks in her annual examination. If the total marks are 650, find her score. Marks scored by Jyoti = 92% of 650 = 598 **Example 7:** A garland is made out of 200 flowers. 65% of them are red and the rest are white. Find the number of red and white flowers. Number of red flowers = 65% of 200 flowers = 130 flowers Number of white flowers = (200 - 130) = 70 flowers **In a section of Class 5, 55% of the students are girls and the rest are boys. If the total number of students is 40, find the number of boys and girls in the class.** **3. In a basket of apples, 2% apples are rotten. If there are 450 apples in the basket, how many apples of them are good?** **4. Aman gives 2% of his income as donation to different institutions. If he donates ₹24,000 this year, find his annual income.** **5. Which is greater, 60% of 90 or 75% of 80?** **6. In a cinema hall, 12% seats are reserved for the first class. If the number of seats for the first class is 114, find the total number of seats in the cinema hall.** **7. Rama was asked to solve 25 questions. She completed 80% of them. How many questions did she complete?** **8. 8400 seats out of a total of 12000 seats are occupied by people in a stadium. What per cent of the stadium is occupied by people?** **Mental Maths** 1. **Complete the following table:** | Fraction | Fraction with 100 as a denominator | Per cent | Decimal | |---|---|---|---| | 3/10 | 30/100 | 30% | 0.3 | | 45/100 | 45/100 | 45% | 0.45 | | 75/100 | 75/100 | 75% | 0.75 | | 25/100 | 25/100 | 25% | 0.25 | | 2/5 | 40/100 | 40% | 0.4 | 2. **From a survey of 60 students, the number of students travelling to school on different bus routes is shown in the table given below. Express these figures as percentages:** | Route number | Number of students | Percentage | |---|---|---| | 1 | 21 | 35% | | 2 | 12 | 20% | | 3 | 9 | 15% | | 4 | 18 | 30% | **HOTS** An article is having marked price as ₹250. - What is 20% of the marked price of the article? = ₹50 - What is the new price of the article after an increase of 20%? = ₹300 - What is 20% of the new price of the article? = ₹60 - What price do you get if you reduce the new price of the article by 20%? = ₹240