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Integers Worksheets — Grade 6 & 7Free Printable PDF · CBSE Class 6–7

Integers extend the number line to the left of zero. The arithmetic rules follow logically from the number line — children who visualise integers as positions on a line understand why the rules work, and never need to memorise them separately.

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2CBSE Classes
3Difficulty Levels
20 QPer Sheet
Free PDFAnswer Keys

Numbers below zero

The number line goes left too —
and the rules follow from it.

Integers are the first time students encounter numbers that 'shouldn't exist' — negative. Children who visualise integers as positions on a line understand why −3 − (−2) = −1 without needing to memorise a sign rule. These worksheets build that intuition first, then extend to symbolic operations.

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Number line (Class 6)

Placing integers on a number line, comparing, and ordering — including the common misconception that −8 > −3. Easy worksheets focus on representation before any arithmetic.

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Addition and subtraction (Class 6)

Adding integers with mixed signs, and subtracting negatives — the two operations where intuition most often breaks. Medium worksheets build fluency across both types.

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Multiplication and division (Class 7)

Sign rules for multiplication and division — same signs positive, different signs negative. Hard worksheets include multi-factor expressions and division with remainders.

From the ZestMath channel

Watch these before practising

Short videos that make the concept click — then use the worksheets to lock it in.

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Ranking Numbers by Attitude 🔢

Zero acts like NOTHING but controls whether your answer is right or wrong — this short ranks numbers by attitude, including the stubborn negative integers that confuse Class 6 students most.

Watch on YouTube →
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Are You Still Stuck in 5th Grade Math?

A cheat sheet covering Natural, Whole, Integers, Prime, Composite and Rational number types — the vocabulary students need before they can place integers confidently on a number line.

Watch on YouTube →

Free PDF downloads

Download the worksheets — 3 difficulty levels

Each download is a clean 20-question PDF. The answer key is a separate file so students can't see it during practice.

Easy
Student Worksheet Answer Key
Medium
Student Worksheet Answer Key
Hard
Student Worksheet Answer Key

Why the number line is the best teaching model

Every integer rule — addition, subtraction, comparison — can be derived from the number line by asking 'which direction am I moving, and by how much?' Children who learn the rules symbolically before building the number line model rely on memorisation that fades under exam pressure. The medium difficulty worksheets include number line diagram problems alongside symbolic computation to reinforce both representations simultaneously.

Related pages

Algebra Grade 7–8 · Ratio Worksheets Grade 6 · All Printable Worksheets

FAQ

Integers worksheets — what parents ask

Whole numbers are 0, 1, 2, 3 … — they run right from zero on the number line. Integers include the negatives: …−3, −2, −1, 0, 1, 2, 3… CBSE Class 6 introduces integers as an extension of the number line beyond zero. The key conceptual shift: negative integers are not 'wrong answers' — they represent real quantities like temperatures below zero, bank account deficits, or floors below ground level.
Ignore the signs temporarily and take the absolute values. Subtract the smaller absolute value from the larger. Give the result the sign of the integer with the larger absolute value. Example: −7 + 4. Absolute values: 7 and 4. Difference: 3. The larger absolute value was 7 (negative), so the answer is −3. This method works for all mixed-sign addition and follows directly from the number line model.
Subtraction means moving left on the number line. Subtracting a negative means the opposite — moving right. 5 − (−3) = 5 + 3 = 8. A concrete model: if you owe ₹3 (negative) and that debt is cancelled (subtracted), you are better off by ₹3 — a positive change. The 'double negative makes positive' rule is a consequence of this logic, not a separate rule to memorise.
CBSE Class 6 Chapter 6 introduces integers including negative numbers, number line representation, comparison and ordering, and addition and subtraction of integers. Class 7 Chapter 1 covers all four operations on integers including multiplication and division, and the sign rules for these operations. Easy and medium difficulty worksheets target Class 6 scope; hard difficulty worksheets include Class 7 multiplication and division.
Same signs give a positive product; different signs give a negative product. (−3) × (−4) = +12 (both negative → positive). (−3) × 4 = −12 (different signs → negative). The extended rule: count the number of negative factors in a product — an even count gives a positive result; an odd count gives a negative result. This generalises to any number of factors.
Writing −8 > −3 because 8 > 3. On the number line, −8 is further left than −3, so −8 < −3. Larger negative numbers represent smaller values. Students who understand the number line model — where right means larger — rarely make this error. Easy difficulty worksheets include number line ordering problems that build this intuition before the symbolic arithmetic begins.

Integers — the number line extended in both directions.

CBSE Class 6–7. Number line, all four operations, sign rules. No login.

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