Whole Numbers Class 6 Worksheet — Free PDF Download with Answers

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.

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.

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.

Level 1 — Easy

1. What is the predecessor of $1{,}000$?
Solution: $1{,}000 - 1 = 999$.

2. Represent $3 + 5$ on a number line.
Solution: Start at $3$, jump $5$ units to the right, land on $8$.

3. Is $0$ a natural number or a whole number?
Solution: $0$ is a whole number but not a natural number.

Level 2 — Medium

1. Verify the distributive property for $a = 7$, $b = 8$, $c = 3$.
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.

2. Find the pattern and write the next two terms: $1, 3, 6, 10, 15, \ldots$
Solution: These are triangular numbers. Differences are $2, 3, 4, 5, \ldots$. Next terms: $15 + 6 = 21$ and $21 + 7 = 28$.

3. Is the set of whole numbers closed under subtraction? Give an example.
Solution: No. $3 - 5 = -2$, which is not a whole number.

Level 3 — Hard

1. Using the distributive property, compute $98 \times 47$ mentally.
Solution: $98 \times 47 = (100 - 2) \times 47 = 4{,}700 - 94 = 4{,}606$.

2. The sum of three consecutive whole numbers is $72$. Find the numbers.
Solution: Let the numbers be $n, n+1, n+2$. Then $3n + 3 = 72 \Rightarrow n = 23$. The numbers are $23, 24, 25$.

3. A pattern starts at $2$ and each term is $3$ more than twice the previous term. Write the first five terms.
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 $2, 7, 17, 37, 77$.

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 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.

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.

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