Integers 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.

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

What are Integers?

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. Integers extend the whole numbers to include negative numbers: $\{\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots\}$. They answer a simple question that whole numbers cannot: what happens when you subtract a larger number from a smaller one? The answer is a negative integer.

Negative numbers are everywhere in daily life. Temperatures drop below zero in winter ($-5^\circ$C). Bank accounts can be overdrawn (a balance of $-200$ means you owe money). Elevations go below sea level (the Dead Sea is at $-430$ m). Integers give us the language to describe all of these situations precisely.

In Class 6, students learn to represent integers on a number line, compare and order them, and perform addition and subtraction. This is the first time most students encounter negative numbers, so building a strong visual and conceptual foundation is critical for success in algebra and coordinate geometry in later classes.

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

Key Concepts & Formulas

• Integers — $\{\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots\}$. Includes positive integers, negative integers, and zero.
• Number line — Negative integers are to the left of $0$; positive integers to the right. A number further right is always greater.
• Absolute value — The distance of an integer from $0$, always non-negative: $|{-7}| = 7$, $|5| = 5$.
• Ordering — On the number line, left means smaller: $-5 < -2 < 0 < 3 < 7$.
• Addition rules:
• - Same signs: add absolute values, keep the sign. $(-4) + (-3) = -7$.
• - Different signs: subtract the smaller absolute value from the larger, take the sign of the larger. $(-8) + 5 = -3$.
• Subtraction rule — Subtracting an integer is the same as adding its opposite: $a - b = a + (-b)$. So $5 - (-3) = 5 + 3 = 8$.
• Additive inverse — For every integer $a$, there exists $-a$ such that $a + (-a) = 0$.
• Properties — Integers are closed under addition and subtraction. Addition is commutative and associative. $0$ is the additive identity.

How to Study Integers Effectively

How to Use This Worksheet

1. Print the PDF — Download from the links below.
2. Start with Level 1 (Easy) — 20 questions on representing integers on a number line, comparing, and simple addition.
3. Time yourself — 15 minutes for Level 1, 20 for Level 2, 25 for Level 3.
4. Check answers — Use the included answer key.
5. Revise mistakes — For every sign error, draw a number line and trace the operation step by step.
6. Move to the next level — Progress when you score 16/20 or above.

Sample Questions

Level 1 — Easy

1. Place the following integers on a number line: $-3, 0, 4, -1, 2$.
2. *Solution:* From left to right: $-3, -1, 0, 2, 4$.
3. Compute $(-6) + 4$.
4. *Solution:* Different signs: $6 - 4 = 2$. The larger absolute value ($6$) is negative, so the answer is $-2$.
5. Which is greater: $-8$ or $-3$?
6. *Solution:* $-3 > -8$ because $-3$ is further to the right on the number line.

Level 2 — Medium

1. Compute $(-12) - (-7)$.
2. *Solution:* $(-12) - (-7) = -12 + 7 = -5$.
3. The temperature at midnight was $-4^\circ$C. By noon it rose by $11^\circ$C. What is the noon temperature?
4. *Solution:* $-4 + 11 = 7^\circ$C.
5. Arrange in ascending order: $5, -9, 0, -3, 7, -7$.
6. *Solution:* $-9 < -7 < -3 < 0 < 5 < 7$.

Level 3 — Hard

1. Find the integer $x$ such that $(-15) + x = -4$.
2. *Solution:* $x = -4 - (-15) = -4 + 15 = 11$.
3. The sum of two integers is $-8$. One of them is $13$. Find the other.
4. *Solution:* Other integer $= -8 - 13 = -21$.
5. Simplify: $(-3) + 7 + (-11) + 4 + (-2) + 9$.
6. *Solution:* Positive sum $= 7 + 4 + 9 = 20$. Negative sum $= (-3) + (-11) + (-2) = -16$. Total $= 20 + (-16) = 4$.

Board-Wise Approach

CBSE (NCERT — Ganita Prakash / Math Magic)
The "Integers" chapter introduces negative numbers through real-world contexts (temperature, altitude, banking). CBSE emphasises the number line, addition, and subtraction of integers. Properties like commutativity and associativity are explored through examples.

ICSE (Selina / ML Aggarwal)
ICSE also covers integers in a dedicated chapter with a slightly more formal treatment. ICSE exams include more word problems involving temperature changes, altitude differences, and financial transactions. The absolute value concept may be introduced more explicitly.

IB MYP (Mathematics Framework)
The MYP covers integers within the "Integers & Order of Operations" unit. Students explore negative numbers through investigation and apply them in real-world contexts. The IB also expects students to work with order of operations (BODMAS/PEMDAS) involving negative numbers.

Key Differences:
* CBSE: Context-driven introduction; number line emphasis.
* ICSE: More formal; heavier on word problems.
* IB: Integrates with order of operations; inquiry-based.

Download Worksheets

Download your free Integers worksheets:

• Integers CBSE Worksheet — 60 questions aligned to NCERT
• Integers ICSE Worksheet — 60 questions aligned to Selina / ML Aggarwal

Practise online:

• Practice Online — CBSE
• Practice Online — ICSE
• Practice Online — IB

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

Explore More on SparkEd

• AI Maths Solver — Stuck on an integer problem? Get a step-by-step solution.
• Spark Coach — AI tutor that guides with hints, not answers.
• Free Worksheets for All Classes — Worksheets from Class 1 to 10 across all boards.
• Play Mode for Class 1-4 — Fun number games for younger learners.

Related Topics

Continue your Class 6 practice:

• Whole Numbers Class 6 Worksheet
• Numbers & Place Value Class 6 Worksheet
• Fractions & Decimals Class 6 Worksheet
• Algebra & Simple Equations Class 6 Worksheet
• Number Play Class 6 Worksheet