Examples of Proportion and Decimal Word Problems with Answers
FAQs on Proportion Word Problems with Decimals for Class 6
1. What are proportion word problems?
Proportion word problems are real-life scenarios where you use two equal ratios to find an unknown quantity. For Class 6, these problems often involve concepts like the cost of items, distance covered, or recipe ingredients, requiring you to set up a relationship (a proportion) to find the missing value, which often involves decimals.
2. How do you solve decimals in word problems?
To solve word problems with decimals, you must carefully read the problem, identify the correct mathematical operation, and then perform the calculation accurately. The key steps are:
- Read the problem to understand what is being asked.
- Identify the numbers involved, including all decimal values.
- Determine the operation needed, such as addition, subtraction, multiplication, or division.
- Set up the calculation, ensuring you align decimal points correctly for addition and subtraction.
- Solve the problem and place the decimal point accurately in your final answer.
3. What are examples of ratios and proportions for class 6?
Common examples of ratios and proportions for Class 6 often involve everyday situations where decimal quantities are used. These real-life applications include:
- Shopping: If 2.5 metres of fabric cost ₹200, what is the cost of 4 metres?
- Recipes: A recipe for 5 people needs 1.5 cups of sugar. How much sugar is needed for 8 people?
- Travel: A car travels 85.5 km in 2 hours. How far will it travel in 3.5 hours?
- Maps: If a map scale is 1 cm : 12.5 km, find the actual distance if two cities are 5 cm apart on the map.
4. Why are proportion and decimals important in real life?
Proportions and decimals are crucial in real life as they help in making fair comparisons and accurate calculations in daily tasks involving money, cooking, and measurement. Their importance is seen in:
- Finance: Calculating discounts (e.g., 12.5% off), interest rates, and managing budgets.
- Measurement: Using precise units like 3.75 kg of vegetables or 1.5 litres of milk.
- Cooking: Adjusting recipe ingredients based on the number of servings.
- Construction and Design: Scaling drawings and plans accurately.
5. Does this Class 6 Maths worksheet on proportions include an answer key?
Yes, this downloadable worksheet for Class 6 Maths provides a complete answer key with detailed, step-by-step solutions. The answer key helps students and parents to:
- Verify answers for each proportion word problem.
- Understand the correct method for solving complex sums.
- Identify and learn from mistakes, reinforcing problem-solving skills.
6. Is this proportions and decimals worksheet printable?
Absolutely. This worksheet is designed as a free, printable PDF that is easy to download and use at home or in school. The format is optimised with clear fonts and adequate spacing for students to write their calculations, making it perfect for homework, revision, or a practice test on decimals and proportions.
7. What skills are developed by solving these proportion word problems?
Solving these proportion word problems with decimals helps build several essential analytical and mathematical skills for Class 6 students. Key skills developed include:
- Problem-Solving: Learning to deconstruct real-world scenarios into manageable mathematical steps.
- Numerical Reasoning: Understanding the relationship between different quantities and applying logic.
- Operations with Decimals: Gaining accuracy and confidence in multiplying and dividing decimal numbers.
- Proportional Thinking: Mastering the ability to scale quantities, a foundational concept in maths and science.
8. How do ratios and proportions relate to decimals in Class 6 Maths?
In Class 6 Maths, ratios and proportions often use quantities that are not whole numbers, which is where decimals are essential for precise calculations. A ratio compares quantities (e.g., 3.5 kg to 7 kg), while a proportion shows that two ratios are equal. Decimals are used when dealing with fractional parts, such as calculating unit prices (e.g., ₹45.50 per kg) or comparing measurements (e.g., 2.5 metres to 5 metres).
9. How can I find a good decimal word problems worksheet for Class 6 with answers?
A good decimal word problems worksheet for Class 6 should include real-life scenarios, a variety of questions, and a full answer key. This resource is ideal as it provides:
- Application-based sums that connect proportions and decimals to daily life.
- A free printable PDF format for easy access and practice.
- Stepwise solutions to guide students through the problem-solving process.
- Content that is fully aligned with the CBSE and NCERT syllabus for Grade 6.
10. What is the first step in solving a proportion word problem involving decimals?
The most important first step in solving a proportion word problem with decimals is to carefully read the question and correctly set up the two equal ratios. To do this, you should:
- Identify the two quantities being compared (e.g., distance and time).
- Write the first ratio using the given information (e.g., 90.5 km / 2 hours).
- Set up the second ratio using the unknown value, 'x', in the correct position (e.g., x / 3 hours).
- Equate the two ratios to form the proportion: 90.5 / 2 = x / 3. This setup is the foundation for solving the problem.
