Class 6 Maths: Advanced Ratio & Proportion

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 6 through repeated, varied practice.
• Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
• Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
• Pitched at hard level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

Welcome to our advanced practice worksheet on Ratio and Proportion, specially designed for Class 6 Mathematics students following the CBSE curriculum. This challenging set of problems is perfect for young learners who have already grasped the fundamentals and are ready to delve deeper into complex applications. Ratio and Proportion form a crucial foundation in mathematics, essential not just for higher grades but also for understanding real-world scenarios involving comparisons, scaling, and distribution. Often featured in CBSE and NCERT textbooks, mastering these concepts at this stage ensures a strong analytical base. This worksheet targets students looking to sharpen their problem-solving skills, tackling multi-step questions that integrate unit conversions and logical reasoning, preparing them for more intricate mathematical challenges ahead.

What your child will learn

• Apply understanding of ratio to solve multi-step problems.
• Utilise proportional reasoning in complex scenarios.
• Perform necessary unit conversions within ratio and proportion problems.
• Analyse and interpret information to set up correct ratios.
• Solve quantitative problems involving multiple ratios.
• Develop logical thinking skills for advanced mathematical applications.

Understanding the concept

Ratio and Proportion are fundamental mathematical concepts that help us compare quantities and understand relationships between them. A ratio is simply a way to show how much of one thing there is compared to another. For example, if you have 3 red apples and 2 green apples, the ratio of red apples to green apples is 3:2. This means for every 3 red apples, there are 2 green ones. Ratios can be written in a few ways: with a colon (3:2), as a fraction (3/2), or using the word 'to' (3 to 2). All these represent the same comparison. Proportion, on the other hand, is about two ratios being equal. If the ratio of red to green apples in one basket is 3:2, and in another larger basket you have 6 red apples and 4 green apples, the ratio is 6:4, which simplifies to 3:2. Since both ratios are the same, they are in proportion. This means the relationship between the quantities is consistent. Understanding proportion allows us to find missing values when we know the relationship holds true. For instance, if 2 pens cost ₹10, we can use proportion to figure out that 4 pens would cost ₹20, because the ratio of pens to cost (2:10) must be equal to the ratio of new pens to new cost (4:X). Advanced problems combine these ideas, sometimes requiring you to compare more than two quantities, convert units (like converting metres to centimetres before finding a ratio), or use proportional thinking across several steps to reach a solution.

Tips for parents & teachers

• Encourage your child to read each problem carefully, identifying all given information and what needs to be found.
• Suggest breaking down complex problems into smaller, manageable steps before attempting to solve.
• Review basic unit conversions (e.g., cm to m, minutes to hours) with your child as they are crucial for some problems.
• Discuss the 'why' behind each step of their solution, rather than just focusing on the final answer.
• Provide a quiet environment free from distractions for focused problem-solving practice.

Topics covered

How to use this worksheet at home

Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 6) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.

Frequently asked questions

Is this Mathematics worksheet really free?

Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.

Is it aligned to the CBSE / NCERT syllabus?

Yes. All Class 6 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.

Can I print this worksheet at home?

Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.

Does it include an answer key?

Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.