Class 8 Rational Numbers Worksheet

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 8 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 medium level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

Welcome to our Class 8 Mathematics Rational Numbers Practice Worksheet! This thoughtfully designed resource is perfect for students studying under the CBSE curriculum who are looking to deepen their understanding of rational numbers. This worksheet offers a comprehensive set of medium-difficulty problems, carefully crafted to reinforce core concepts. It covers essential topics such as the properties of rational numbers, how to perform various operations like addition, subtraction, multiplication, and division with them, and how to accurately represent these numbers on a number line. Regular practice with these kinds of exercises is crucial for building a strong foundation in mathematics, ensuring students are well-prepared for their exams and subsequent topics. This resource is ideal for self-study, homework, or as supplementary practice in the classroom, helping every student master rational numbers with confidence.

What your child will learn

• Practice identifying rational numbers and distinguishing them from other number types.
• Solve problems involving addition, subtraction, multiplication, and division of rational numbers.
• Apply properties of rational numbers like commutative, associative, and distributive properties.
• Represent rational numbers accurately on a number line.
• Recognise and utilise the concept of identity and inverse for rational numbers.

Understanding the concept

Rational numbers are a fundamental concept in Class 8 Mathematics, expanding upon integers and fractions. Simply put, a rational number is any number that can be expressed as a fraction p/q, where 'p' and 'q' are integers, and 'q' is not zero. For instance, 1/2, -3/4, 5 (which can be written as 5/1), and 0 (which can be written as 0/1) are all rational numbers. These numbers have specific properties that make them behave predictably under arithmetic operations. For example, adding two rational numbers always results in another rational number. Similarly, multiplication, subtraction, and division (except by zero) also yield rational numbers. Understanding these properties (like the commutative property where a+b = b+a, or the distributive property where a*(b+c) = a*b + a*c) is key to solving problems efficiently. Additionally, representing them on a number line helps visualise their position and order relative to other numbers, reinforcing the concept that rational numbers fill the 'gaps' between integers.

Tips for parents & teachers

• Encourage your child to review the definitions and properties of rational numbers before attempting the worksheet.
• Work through a few example problems together to ensure understanding of the steps involved in operations.
• Provide a number line graphic or ruler to help visualise how rational numbers are placed.
• Discuss any challenging problems after completion, focusing on where errors were made and why.
• Use this worksheet as a diagnostic tool to identify specific areas where your child might need more practice or explanation.

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 8) 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 8 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.