Integers Class 7 Worksheet — Free PDF Download with Answers

A parent told me last week that her son could solve every integer question on his tablet app but froze the moment she handed him a plain sheet of paper and a pencil. That is not a problem with the child. It is a problem with the mode of practice. Apps give you buttons, hints and animations. Real exams give you paper, a pen and a ticking clock.

Class 7 is the year when number work suddenly becomes abstract. Integers bring in negatives, rules about signs and real world contexts like temperature, elevation and bank balances. If a student practises only on a screen, they never build the muscle memory of writing the sign clearly, lining up columns and double checking their work by hand.

Worksheets fix this in several simple ways. Writing by hand is slower than tapping, and that slowness is a feature. It forces the brain to commit each step to memory. A printed worksheet also has no pop ups, no notifications and no next question button that rushes you along. You can sit with a tough problem as long as you need to.

There is also the matter of young eyes. Children already spend a lot of time looking at screens for school, homework and entertainment. A printable worksheet is a rest for their eyes and a change of setting. Many families we speak to do 20 minutes of paper practice after dinner precisely for this reason.

Finally, worksheets with answer keys teach self checking. A student who marks their own work learns where they went wrong without waiting for a teacher. That habit of self correction is one of the strongest predictors of exam success.

The worksheet is built around the full Class 7 integers chapter as it appears in CBSE, ICSE and IB syllabi. You will find questions on properties of integers, all four operations, word problems and mixed drills.

Here is the level by level breakdown:

That is 60 questions in total. Question types include multiple choice, fill in the blanks, true or false, short numerical and word problems. A complete answer key is included at the end of the PDF so students or parents can mark the work immediately.

Before picking up the worksheet, a quick revision of these ideas will save a lot of second guessing.

* Integers on the number line — Positive integers lie to the right of zero, negative integers to the left. The farther left, the smaller the value. So $-8 < -3 < 0 < 5$.
* Sign rules for addition — Same signs add and keep the sign. Different signs subtract and take the sign of the larger absolute value.
* Subtraction as addition — $a - b = a + (-b)$. So $7 - 12 = 7 + (-12) = -5$.
* Multiplication signs — Positive times positive is positive. Negative times negative is positive. Positive times negative is negative.
* Division signs — Same rules as multiplication.
* Properties — Closure, commutativity and associativity for addition and multiplication. Distributive law: $a \times (b + c) = a \times b + a \times c$.
* Zero and one — Adding zero changes nothing. Multiplying by one changes nothing. Multiplying any integer by zero gives zero.

One quick tip that saves many errors: when you see a long chain like $-3 + 7 - 9 + 4$, group positives and negatives separately. Positives sum to $11$, negatives sum to $-12$, answer is $-1$.

Level 1 — Easy

1. Evaluate: $-5 + 8$.
Solution: Different signs, subtract $5$ from $8$, keep the positive sign. Answer is $3$.

2. Fill in the blank: $-12 + \_\_\_ = 0$.
Solution: The additive inverse of $-12$ is $12$.

3. Which is smaller: $-17$ or $-23$?
Solution: $-23$ is smaller because it is farther left on the number line.

Level 2 — Medium

1. Find the product: $(-6) \times (-9)$.
Solution: Negative times negative is positive. Answer is $54$.

2. A submarine is $250$ m below sea level. It rises by $90$ m, then dives another $120$ m. What is its final position?
Solution: Start at $-250$. Add $90$: $-160$. Subtract $120$: $-280$. Final depth is $280$ m below sea level.

3. Evaluate: $(-18) \div 3$.
Solution: Negative divided by positive is negative. Answer is $-6$.

Level 3 — Hard

1. Simplify: $-4 \times [(-3) + 5] - 7$.
Solution: Brackets first: $(-3) + 5 = 2$. Then $-4 \times 2 = -8$. Finally $-8 - 7 = -15$.

2. A shopkeeper earns a profit of Rs. 150 on one item and a loss of Rs. 220 on another. If he sold $4$ items of the first type and $3$ of the second, what is his net profit or loss?
Solution: Profit: $4 \times 150 = 600$. Loss: $3 \times 220 = 660$. Net: $600 - 660 = -60$. So a loss of Rs. 60.

3. Evaluate using distributive property: $(-25) \times 63 + (-25) \times 37$.
Solution: $(-25) \times (63 + 37) = (-25) \times 100 = -2500$.

Simply printing the sheet is not the same as learning from it. Follow this six step plan and you will get far more value from your 20 minutes of daily practice.

1. Print — Use plain A4 paper. Keep a separate notebook or the back of the sheet for rough work.
2. Warm up — Before starting Level 1, do five quick mental maths questions. Things like $-4 + 7$ or $3 \times (-6)$. It gets the brain in gear.
3. Time yourself — Give yourself 15 minutes for Level 1, 20 for Level 2 and 25 for Level 3. A clock on the wall is better than a phone timer.
4. Check answers — Use the answer key at the end of the PDF. Mark with a red pen.
5. Revise mistakes — For every wrong answer, write the correct solution with steps next to it. Do not just note the right number.
6. Try again — The next day, redo only the questions you got wrong. If you get them right twice in a row, you have learnt them.

Daily plan: 20 minutes a day, five days a week, for two weeks covers the full worksheet with time for revision.

Weekly revision: On Saturday, pick ten questions randomly from all three levels and redo them without looking at old solutions. This is your weekly confidence check.

From marking thousands of Class 7 scripts, the same six errors keep appearing. Watch for these and you will already be ahead of most students.

1. Dropping the negative sign — Writing $5 - 8 = 3$ instead of $-3$. Always double check the sign of your answer, especially when subtracting a bigger number from a smaller one.

2. Confusing subtraction of a negative — $7 - (-4)$ is not $3$. The two negatives become positive, so the answer is $11$.

3. Wrong sign in multiplication — Students sometimes write $(-3) \times (-4) = -12$. Negative times negative is positive, always.

4. Forgetting BODMAS — In $-3 + 4 \times 2$, multiplication comes first. Answer is $-3 + 8 = 5$, not $2$.

5. Sign errors in word problems — Writing a loss as a positive number or a depth as a positive number. Read the question twice and ask yourself whether the quantity should be positive or negative.

6. Mixing up commutative and associative — These two properties are often confused. Commutative is about order ($a + b = b + a$). Associative is about grouping ($(a + b) + c = a + (b + c)$).

Integers are a core Class 7 topic in every major board, but the treatment varies.

CBSE (NCERT)
CBSE places integers as Chapter 1 of the Class 7 NCERT textbook. The chapter carries around 8 to 10 marks in the annual exam. Questions are a mix of direct calculations and simple word problems involving temperature, money and altitude. Properties of integers are tested through short answer questions.

ICSE (Selina / ML Aggarwal)
ICSE covers integers in Chapter 1 of the Class 7 syllabus but goes a step further. Students are expected to apply the properties more formally and solve longer multi step problems. ICSE questions often include verification of the distributive and associative properties in detail.

IB MYP
The IB Middle Years Programme treats integers under the broader umbrella of rational numbers. The focus is on understanding through real world contexts, such as temperature changes in different cities or altitude gains in mountain climbing. Students are graded on conceptual understanding and communication rather than just getting the right answer.

Download your free Class 7 Integers worksheet in PDF format:

* Integers CBSE Worksheet — 60 questions aligned with NCERT
* Integers ICSE Worksheet — 60 questions aligned with Selina

Prefer to practise online? Use the interactive modules:

* Integer Operations Online — CBSE
* Integers Online — ICSE

All worksheets include a complete answer key at the end so students can self check.

A worksheet is only one part of mastering a topic. Here are some other free tools SparkEd offers to help your Class 7 maths journey.

* AI Maths Solver — Upload a photo of any integer problem you are stuck on and get a full step by step explanation.
* Spark Coach — An AI tutor that gives hints rather than answers, perfect for guided practice without spoilers.
* Class 7 Maths Complete Guide — Chapter wise notes, formulas and tips for the full Class 7 syllabus.
* All Worksheets Hub — Every free worksheet from Class 1 to 10 in one place.
* Class 7 Formulas — A printable cheat sheet of every Class 7 formula across all chapters.

Two weeks of focused practice is enough to master Class 7 integers if you stay consistent.

Week 1: Building the basics

* Day 1: Read the chapter. Write down all sign rules on a flash card.
* Day 2: Attempt Level 1 questions 1 to 10. Check and revise.
* Day 3: Attempt Level 1 questions 11 to 20. Check and revise.
* Day 4: Attempt Level 2 questions 1 to 10.
* Day 5: Attempt Level 2 questions 11 to 20.
* Day 6: Redo all wrong answers from Week 1.
* Day 7: Rest or do a light 10 minute mental maths drill.

Week 2: Applying and challenging yourself

* Day 8: Attempt Level 3 questions 1 to 10.
* Day 9: Attempt Level 3 questions 11 to 20.
* Day 10: Redo all wrong Level 3 answers with full workings.
* Day 11: Take a mixed quiz — pick ten random questions from the full worksheet.
* Day 12: Do word problems only from all three levels.
* Day 13: Final mock test using 30 questions you have not repeated recently.
* Day 14: Review and celebrate. You are ready for the chapter test.

Once you have integers under your belt, move on to these related Class 7 topics. They build directly on the skills you just practised.

* Class 7 Fractions and Decimals Worksheet
* Class 7 Rational Numbers Worksheet
* Class 7 Simple Equations Worksheet
* Class 7 Algebraic Expressions Worksheet
* Class 7 Maths Complete Guide