Whole Numbers Class 6 Worksheet — Free PDF Download with Answers

Class 6 Maths Worksheet — Free PDF with Answers

This is your one-stop class 6 maths worksheet collection — every topic, every chapter, completely free with step-by-step answers. Whether you searched for a maths class 6 worksheet or a worksheet math class 6 resource, you have landed in the right place. SparkEd's Class 6 maths practice covers the full CBSE syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.

Parents and teachers often look for a class 6 maths chapter 7 worksheet with answers or a class 6 maths chapter 3 worksheet with answers — here you will find those and every other chapter too. Every class 6th maths worksheet is aligned to the latest NCERT pattern, so the maths worksheets of class 6 you download match exactly what is taught in school. Need a quick class 6th mathematics solution or a handy class 6th math formula sheet? Check out the Class 6 All Formulas guide.

Each maths worksheet for class 6 includes a mix of short-answer, long-answer, and maths questions and answers for class 6 in MCQ format. You get a complete maths worksheet for class 6 with answers, making self-study easy. The content is suitable as a maths worksheet for class 6 cbse as well as a maths worksheet for class 6 ncert resource — both boards follow the same core syllabus. Looking for a simpler label? It is the same math worksheet for class 6 you need.

For revision before exams, try the maths worksheet for class 6th with answers alongside our maths mcq for class 6 with answers sets. Teachers can use the class 6 maths mcq question paper bank for quick classroom tests. Browse all class 6 maths worksheets cbse topics on the All Class 6 worksheets page, or start with the popular Number Play worksheet. Ready to practise? Head to SparkEd home and pick your chapter.

Want to practise Whole Numbers digitally? Try free online practice on SparkEd — instant grading, visual solutions, and an AI coach to help when you are stuck.

What are Whole Numbers?

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. Whole numbers are the set of natural numbers together with zero: $\{0, 1, 2, 3, 4, \ldots\}$. They form the very first number system students study formally, and almost every arithmetic concept you encounter in later classes — integers, fractions, algebra — builds on your understanding of whole numbers.

At the Class 6 level, the focus is on representing whole numbers on a number line, understanding their properties (closure, commutativity, associativity, distributivity), and recognising patterns. These properties are not just abstract rules; they are tools that make mental math faster and problem-solving more efficient.

For example, knowing that addition is commutative ($a + b = b + a$) lets you rearrange numbers to find easier sums, and the distributive property ($a \times (b + c) = a \times b + a \times c$) is the basis for every algebraic expansion you will meet in higher classes. A solid worksheet on whole numbers builds both computational speed and conceptual depth.

Beyond this worksheet, SparkEd offers interactive online practice for Whole Numbers with step-by-step solutions and progress tracking — perfect for daily revision.

Key Concepts & Formulas

Make sure you are comfortable with these ideas before starting the worksheet:

• Natural numbers — $\{1, 2, 3, \ldots\}$. Every natural number is a whole number, but $0$ is a whole number that is not natural.
• Number line — Whole numbers are equally spaced points starting from $0$ on a horizontal ray going to the right.
• Successor and Predecessor — Successor of $n$ is $n+1$; predecessor of $n$ is $n-1$. Note: $0$ has no predecessor in whole numbers.
• Closure property — Whole numbers are closed under addition and multiplication: $a + b$ and $a \times b$ are always whole numbers. They are NOT closed under subtraction ($3 - 5$ is not a whole number) or division ($7 \div 2$ is not a whole number).
• Commutative property — $a + b = b + a$ and $a \times b = b \times a$.
• Associative property — $(a + b) + c = a + (b + c)$ and $(a \times b) \times c = a \times (b \times c)$.
• Distributive property — $a \times (b + c) = a \times b + a \times c$.
• Identity elements — $0$ is the additive identity ($a + 0 = a$); $1$ is the multiplicative identity ($a \times 1 = a$).
• Patterns — Sequences like $1, 3, 6, 10, \ldots$ (triangular numbers) and $1, 4, 9, 16, \ldots$ (perfect squares) arise from whole-number operations.

How to Study Whole Numbers Effectively

How to Use This Worksheet

Follow these steps for best results:

1. Print the PDF — Download from the links below and work on paper to simulate exam conditions.
2. Start with Level 1 (Easy) — 20 questions covering number-line representation, successor/predecessor, and basic properties. Target: 18/20.
3. Time yourself — Allocate 15 minutes for Level 1, 20 minutes for Level 2, and 25 minutes for Level 3.
4. Check answers — Use the included answer key. Mark each question honestly.
5. Revise mistakes — Redo every wrong answer on a fresh sheet and note the property or concept involved.
6. Move to the next level — Progress once you score at least 16/20 on the current level.

Sample Questions

Level 1 — Easy

1. What is the predecessor of $1{,}000$?
2. *Solution:* $1{,}000 - 1 = 999$.
3. Represent $3 + 5$ on a number line.
4. *Solution:* Start at $3$, jump $5$ units to the right, land on $8$.
5. Is $0$ a natural number or a whole number?
6. *Solution:* $0$ is a whole number but not a natural number.

Level 2 — Medium

1. Verify the distributive property for $a = 7$, $b = 8$, $c = 3$.
2. *Solution:* $7 \times (8 + 3) = 7 \times 11 = 77$. Also $7 \times 8 + 7 \times 3 = 56 + 21 = 77$. Both sides equal, so the property holds.
3. Find the pattern and write the next two terms: $1, 3, 6, 10, 15, \ldots$
4. *Solution:* These are triangular numbers. Differences are $2, 3, 4, 5, \ldots$. Next terms: $15 + 6 = 21$ and $21 + 7 = 28$.
5. Is the set of whole numbers closed under subtraction? Give an example.
6. *Solution:* No. $3 - 5 = -2$, which is not a whole number.

Level 3 — Hard

1. Using the distributive property, compute $98 \times 47$ mentally.
2. *Solution:* $98 \times 47 = (100 - 2) \times 47 = 4{,}700 - 94 = 4{,}606$.
3. The sum of three consecutive whole numbers is $72$. Find the numbers.
4. *Solution:* Let the numbers be $n, n+1, n+2$. Then $3n + 3 = 72 \Rightarrow n = 23$. The numbers are $23, 24, 25$.
5. A pattern starts at $2$ and each term is $3$ more than twice the previous term. Write the first five terms.
6. *Solution:* $a_1 = 2$. $a_2 = 2(2)+3 = 7$. $a_3 = 2(7)+3 = 17$. $a_4 = 2(17)+3 = 37$. $a_5 = 2(37)+3 = 77$. The terms are $2, 7, 17, 37, 77$.

Board-Wise Approach

CBSE (NCERT — Ganita Prakash / Math Magic)
Chapter 2, "Whole Numbers," introduces the number line, properties of whole numbers, and patterns in number sequences. CBSE emphasises verification of properties through examples and includes number-line-based addition and subtraction. The new Ganita Prakash textbook encourages exploration and pattern discovery.

ICSE (Selina / ML Aggarwal)
While ICSE does not have a standalone chapter titled "Whole Numbers," these concepts are woven into the Number System chapter. ICSE places additional emphasis on word problems that test properties and mental math using distributivity. Students are expected to articulate why a property works, not just verify it.

IB MYP (Mathematics Framework)
The MYP Number unit covers whole numbers as part of a broader exploration of number systems. Students investigate patterns, make conjectures, and justify them — aligning with the IB's inquiry-based approach. There is less drill and more conceptual reasoning, so IB students benefit from extra computation practice via worksheets.

Key Differences:
* CBSE: Dedicated chapter with emphasis on number-line operations and pattern recognition.
* ICSE: Integrated into Number System; more word problems.
* IB: Inquiry-driven; students need supplementary practice for speed.

Download Worksheets

Download your free Whole Numbers worksheet:

• Whole Numbers CBSE Worksheet — 60 questions aligned to NCERT Chapter 2

Practise interactively online:

• Practice Online — CBSE

Each worksheet contains 20 questions per level with a detailed answer key.

Explore More on SparkEd

Take your Class 6 maths further with these resources:

• AI Maths Solver — Stuck on a problem? Get step-by-step solutions instantly.
• Spark Coach — An AI tutor that guides you with hints, building real problem-solving skills.
• Free Worksheets for All Classes — Browse worksheets from Class 1 to Class 10 across CBSE, ICSE, and IB.
• Play Mode for Class 1-4 — Fun, game-based maths for younger learners.

Related Topics

Explore more Class 6 worksheets:

• Numbers & Place Value Class 6 Worksheet
• Number Play Class 6 Worksheet
• Patterns in Mathematics Class 6 Worksheet
• Integers Class 6 Worksheet
• Prime Numbers & Factors Class 6 Worksheet