Class 10 Exam > Class 10 Notes > Mathematics Class 10 ICSE > Worksheet: Ratio and Proportion
Worksheet: Ratio and Proportion | Mathematics Class 10 ICSE PDF Download
Section A: Very Short Answer Questions
Q1. Simplify the ratio 48:60.
Q2. If the cost of 7 apples is ₹140, what is the cost of 1 apple?
Q3. Write the duplicate ratio of 5:7.
Q4. Find the sub-duplicate ratio of 81:256.
Q5. Find the reciprocal ratio of 8:13.
Section B: Short Answer Questions
Q6. The monthly salary of A and B are in the ratio 7:9. If A earns ₹21,000, find B’s salary.
Q7. Two numbers are in the ratio 4:7. If their sum is 132, find the numbers.
Q8. If a:b = 3:5 and b:c = 2:7, find a:b:c.
Q9. The income of two friends is in the ratio 5:8 and their expenses in the ratio 3:5. If each saves ₹4000, find their incomes.
Q10. If 3a = 2b and 4b = 5c, find the ratio a:b:c.
Section C: Long Answer Questions
Q11. A sum of ₹3,000 is divided among A, B, and C in the ratio 2:3:5. Find the share of each.
Q12. The cost prices of three articles are in the ratio 2 : 3 : 5. Their selling prices are in the ratio 3 : 4 : 6. If the total profit on all three articles is Rs. 720, find the cost price of each article.
Q13. The fares of a bus increase in the ratio 7:9. If the new fare is ₹675, find the original fare and the increase in fare.
The document Worksheet: Ratio and Proportion | Mathematics Class 10 ICSE is a part of the Class 10 Course Mathematics Class 10 ICSE.
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FAQs on Worksheet: Ratio and Proportion - Mathematics Class 10 ICSE
| 1. What is the definition of ratio and how is it different from proportion? |  |
Ans.A ratio is a relationship between two numbers that indicates how many times the first number contains the second. It is expressed in the form of a fraction or with a colon, for example, 3:2 or 3/2. Proportion, on the other hand, is an equation that states that two ratios are equal. For instance, if we say 1/2 = 2/4, we are expressing a proportion.
| 2. How can we simplify a ratio? | |
Ans.To simplify a ratio, you divide both parts of the ratio by their greatest common factor (GCF). For example, to simplify the ratio 8:12, you find the GCF of 8 and 12, which is 4. Then, you divide both numbers by 4, resulting in the simplified ratio of 2:3.
| 3. What are some practical applications of ratios and proportions in real life? | |
Ans.Ratios and proportions are widely used in various fields such as cooking, budgeting, and scale drawings. For instance, in cooking, if a recipe requires a ratio of ingredients, you can scale the recipe up or down based on the number of servings needed. In budgeting, ratios can help compare expenses to income, allowing for better financial planning.
| 4. How do you solve problems involving direct and inverse proportions? | |
Ans.Solving problems involving direct proportions involves setting up a proportion equation where two quantities increase or decrease together. For example, if y is directly proportional to x, you can express it as y = kx, where k is the constant of proportionality. In contrast, inverse proportions require setting up an equation where one quantity increases as the other decreases, expressed as xy = k. You can solve these equations by substituting known values to find the unknowns.
| 5. Can ratios be expressed in different forms? If so, how? | |
Ans.Yes, ratios can be expressed in various forms, including fraction form (e.g., 3/4), colon form (e.g., 3:4), and even percentage form (e.g., 75% when comparing 3 to 4). These forms can be useful depending on the context in which the ratio is used, such as in financial calculations or statistical analysis.
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Sep 09, 2025
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