Ratio and Proportion Word Problems for Class 6 – Printable Worksheet

An example of a ratio and proportion word problem for Class 6 typically involves a real-life scenario where quantities need to be divided or scaled according to a fixed relationship. These problems help in comparing quantities in a practical context.

• Ratio Problem Example: A sum of ₹500 is divided between two friends, Aman and Priya, in the ratio of 2:3. How much money does each friend receive?
• Proportion Problem Example: If 5 pens cost ₹40, what would be the cost of 12 pens? Here, you set up a proportion to find the unknown cost.
• Mixing Problem Example: To make a certain shade of orange paint, a painter mixes red and yellow paint in a ratio of 3:5. If they use 15 litres of yellow paint, how much red paint is needed?

Yes, this Class 6 Maths worksheet on ratio and proportion includes a complete answer key with detailed solutions. The availability of solutions makes it a trusted resource for self-assessment and exam preparation.

• The answer key provides clear, step-by-step solutions for all the word problems.
• It helps students understand the correct method for solving problems and allows parents to verify answers.
• This feature is perfect for homework support and building confidence in solving ratio problems with solutions.

Absolutely, this Class 6 Maths worksheet is designed to be easily printable and is available as a free PDF download. It is optimized for both home and classroom use.

• The worksheet is formatted for standard A4 paper to ensure clear, hassle-free printing.
• It uses a student-friendly layout with large fonts for easy reading.
• You can download the free math worksheet as a PDF worksheet, with or without answers, for flexible practice.

In Class 6 Maths, a ratio is a way to compare two quantities, while a proportion is an equation that states two ratios are equal. Understanding this difference is key to solving ratio and proportion questions.

• A Ratio compares two or more quantities of the same kind. For example, if there are 4 apples and 6 oranges, the ratio of apples to oranges is 4:6, which can be simplified to 2:3.
• A Proportion is a statement of equality between two ratios. For instance, the statement that the ratio 2:3 is equal to the ratio 4:6 is a proportion. It is written as 2:3 :: 4:6. Proportion problems often require you to find a missing value in one of the ratios.

Visual models like tape diagrams (also known as bar models) help students visualize the relationship between the parts of a ratio, making abstract word problems more concrete and easier to solve.

• Visual Representation: A tape diagram draws rectangular bars to represent the different parts of the ratio, showing their relative size.
• Simplifies Division: It makes it easier to see how a total amount should be divided according to the given ratio parts.
• Concept Building: This method reinforces the core concept of the unitary method by visually breaking down the problem into equal units.

Practicing with these ratio and proportion word problems builds a strong foundation in several essential mathematical and logical reasoning skills for Grade 6 students.

• Problem-Solving: Students learn to interpret real-life maths scenarios and convert them into mathematical expressions.
• Arithmetic Fluency: It strengthens core skills in multiplication and division.
• Logical Reasoning: It helps in understanding and applying the concepts of direct and inverse proportion.
• Comparing Quantities: Students master the ability to compare numbers and values using ratios and fractions.

Yes, all the ratio and proportion questions in this worksheet are closely aligned with the CBSE Class 6 Maths syllabus and follow NCERT guidelines. They are designed by subject matter experts to match curriculum standards.

• The problems cover core topics such as the definition of ratio, comparison of ratios, and solving proportions.
• The difficulty of the word problem practice progresses from simple to multi-step challenges, similar to school exam formats.
• The questions use NCERT style problems to ensure students are well-prepared for their exams.

This maths worksheet for ratio and proportion is an excellent resource for parents to support their child's learning and revision at home.

• Download and Print: Start by downloading the free PDF worksheet. You can print it or use it on a tablet.
• Independent Practice: Let your child attempt to solve the practice problems independently to build confidence.
• Review and Correct: Use the included answer key to check their work. Discuss the step-by-step solutions for any questions they found difficult.

The unitary method is a fundamental technique used to solve many ratio and proportion problems by first calculating the value of a single unit or 'one part'. This simplifies the problem significantly.

• Step 1: Find the value of one unit from the given information (e.g., find the cost of 1 item from the cost of many).
• Step 2: Multiply the value of this single unit by the required number of units to get the final answer.
• In Ratio Problems: If money is shared in a 3:4 ratio, you first find the total parts (3+4=7). Then, you find the value of one part by dividing the total money by 7. Finally, you multiply this single part's value by 3 and 4 to get the individual shares.