Class 6 Exam > Class 6 Notes > Mathematics Class 6 ICSE > Worksheet: Ratio, Proportion, and Unitary Method
Worksheet: Ratio, Proportion, and Unitary Method | Mathematics Class 6 ICSE PDF Download
A. Multiple Choice Questions
Q1. Find the ratio of 2.4 m to 150 cm.
(a) 4:5
(b) 8:5
(c) 5:8
(d) 12:15
Q2. Simplify the ratio 42 : 70.
(a) 3:5
(b) 6:10
(c) 21:35
(d) 2:3
Q3. Which ratio is larger: 7:12 or 9:16?
(a) 7:12
(b) 9:16
(c) Both are equal
(d) Cannot be compared
Q4. If 12 : x = 9 : 15, find x.
(a) 18
(b) 20
(c) 12
(d) 10
Q5. The cost of 5 notebooks is ₹120. What is the cost of 8 notebooks?
(a) ₹160
(b) ₹180
(c) ₹192
(d) ₹200
B. Short Answer Questions
Q6. Simplify the ratio
Q7. Divide ₹840 in the ratio 2 : 5.
Q8. Are the ratios 14:21 and 20:30 equal?
Q9. In a proportion, 18 : x :: 12 : 16. Find x.
Q10. 7 kg of rice costs ₹490. Find the cost of 3 kg of rice.
C. Long Answer Questions
Q11. If 14 bags of rice weigh 112 kg, how many bags of rice will weigh 168 kg?
Q12. A ribbon 210 cm long is cut into two parts in the ratio 4 : 3. Find the length of each part.
Q13. A shop sells apples at a constant price. If 6 kg cost ₹270, find:
(i) the cost of 9 kg
(ii) how many kilograms can be bought for ₹200.
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FAQs on Worksheet: Ratio, Proportion, and Unitary Method - Mathematics Class 6 ICSE
| 1. What is the definition of ratio and how is it used in everyday life? |  |
Ans. A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other. It is often expressed as "a:b" or "a/b". Ratios are used in everyday life to compare quantities, such as recipes (e.g., the ratio of flour to sugar), in finance (e.g., debt-to-income ratio), and in sports statistics (e.g., goals scored to games played).
| 2. How do you solve problems involving proportions? | |
Ans. To solve problems involving proportions, you can use cross-multiplication. If you have a proportion a/b = c/d, you can multiply a by d and b by c to set up the equation a × d = b × c. Then, you can solve for the unknown variable by isolating it on one side of the equation.
| 3. Can you explain the unitary method and give an example? | |
Ans. The unitary method is a technique used to find the value of a single unit before multiplying it to find the value of multiple units. For example, if 5 apples cost $10, we first find the cost of one apple (cost of 1 apple = $10/5 = $2). Then, if we want to find the cost of 8 apples, we multiply the cost of one apple by 8 (cost of 8 apples = $2 × 8 = $16).
| 4. What are the differences between a ratio and a proportion? | |
Ans. A ratio is a comparison of two quantities, while a proportion states that two ratios are equal. For example, if the ratio of boys to girls in a class is 3:2, that is a ratio. If we say that 3 boys out of 5 students are boys and 2 girls out of 5 students are girls, we can express this as a proportion: 3/5 = 2/5.
| 5. How can understanding ratios and proportions help in real-life situations? | |
Ans. Understanding ratios and proportions is essential in various real-life situations such as cooking, shopping, budgeting, and scaling models. For instance, when adjusting a recipe for more or fewer servings, knowing the ratio of ingredients helps maintain the flavor. In finance, understanding proportions can help in making informed decisions about investments and savings.
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