Numbers & Place Value Class 6 Worksheet — Free PDF Download with Answers

Place value is the foundation upon which all of arithmetic is built. Every digit in a number has a value that depends on its position. The digit $7$ in $703$ represents seven hundreds, while the same digit in $70$ represents seven tens. Understanding this positional system is what allows us to read, write, compare, and operate on numbers of any size.

In Class 6, students encounter the Indian number system (ones, thousands, lakhs, crores) and the International number system (ones, thousands, millions, billions). Both systems use the same base-ten logic, but they group digits differently when writing commas and naming periods. Mastering both representations is essential because CBSE board exams test both systems, ICSE papers favour the International system, and the IB MYP framework uses International notation exclusively.

Beyond exams, place value crops up every time you read a population figure, estimate a budget, or interpret scientific data. A strong grasp now prevents common errors later, such as misreading $5,00,000$ (five lakh) as fifty thousand. This worksheet gives your child 60 carefully graded questions to build that confidence.

Before attempting the worksheet, review these core ideas:

* Face value vs Place value — The face value of $6$ in $6{,}345$ is $6$; the place value is $6 \times 1{,}000 = 6{,}000$.
* Indian system periods — Ones, Thousands, Lakhs, Crores. Commas are placed after the first 3 digits, then every 2 digits from the right: e.g., $4{,}32{,}56{,}789$.
* International system periods — Ones, Thousands, Millions, Billions. Commas every 3 digits: e.g., $43{,}256{,}789$.
* Expanded form — $8{,}304 = 8 \times 1{,}000 + 3 \times 100 + 0 \times 10 + 4 \times 1$.
* Comparison of numbers — First compare the number of digits; if equal, compare digit by digit from the left.
* Predecessor and Successor — Predecessor of $n$ is $n - 1$; successor is $n + 1$.
* Rounding and Estimation — Round to the nearest $10$, $100$, or $1{,}000$ by checking the digit to the right of the rounding place. If it is $\ge 5$, round up; otherwise round down.
* Ascending and Descending order — Arrange numbers from smallest to largest or vice versa using place-value comparison.

Having these rules at your fingertips will help you work through the worksheet quickly and accurately.

Follow these steps for maximum benefit:

1. Print the PDF — Download the worksheet from the links below and print it out. Working on paper mimics exam conditions and helps retention.

2. Start with Level 1 (Easy) — These 20 questions cover basic place value identification, writing in words, and expanded form. Aim for 100 % accuracy before moving up.

3. Time yourself — Give yourself 15 minutes for Level 1, 20 minutes for Level 2, and 25 minutes for Level 3. Note your time on the sheet.

4. Check answers — Use the answer key at the end of the PDF. Mark each question right or wrong honestly.

5. Revise mistakes — For every wrong answer, redo the question on a separate sheet and write a short explanation of the correct method.

6. Move to the next level — Once you score 16/20 or above on a level, progress to the next. Repeat any level where you score below 16.

This structured approach ensures steady improvement and builds the discipline needed for board-level preparation.

Here are 3 questions from each level to give you a taste of what the worksheet contains.

Level 1 — Easy

1. Write the place value of $8$ in $4{,}83{,}921$.
Solution: $8$ is in the ten-thousands place, so its place value is $8 \times 10{,}000 = 80{,}000$.

2. Write $6{,}05{,}237$ in words using the Indian number system.
Solution: Six lakh five thousand two hundred thirty-seven.

3. What is the successor of $99{,}999$?
Solution: $99{,}999 + 1 = 1{,}00{,}000$.

Level 2 — Medium

1. Arrange in ascending order: $7{,}42{,}103$; $74{,}21{,}030$; $7{,}42{,}130$.
Solution: $7{,}42{,}103 < 7{,}42{,}130 < 74{,}21{,}030$.

2. Write $28{,}406{,}153$ in the Indian number system with commas.
Solution: $2{,}84{,}06{,}153$ — Two crore eighty-four lakh six thousand one hundred fifty-three.

3. Round $4{,}73{,}856$ to the nearest thousand.
Solution: The hundreds digit is $8 \ge 5$, so round up: $4{,}74{,}000$.

Level 3 — Hard

1. The population of City A is $1{,}27{,}45{,}000$ and City B is $12{,}754{,}000$ (International). Which city has the larger population?
Solution: City A = $1{,}27{,}45{,}000$ (Indian) = $12{,}745{,}000$ (International). City B = $12{,}754{,}000$. Since $12{,}754{,}000 > 12{,}745{,}000$, City B is larger.

2. Find the difference between the place values of the two $5$s in $5{,}03{,}50{,}672$.
Solution: The leftmost $5$ has place value $5{,}00{,}00{,}000$ and the other $5$ has place value $50{,}000$. Difference $= 5{,}00{,}00{,}000 - 50{,}000 = 4{,}99{,}50{,}000$.

3. Estimate $7{,}84{,}215 + 3{,}97{,}648$ by rounding each number to the nearest lakh.
Solution: $7{,}84{,}215 \approx 8{,}00{,}000$ and $3{,}97{,}648 \approx 4{,}00{,}000$. Estimated sum $= 12{,}00{,}000$.

CBSE (NCERT — Ganita Prakash / Math Magic)
Chapter 1, "Knowing Our Numbers," covers the Indian and International number systems, expanded form, estimation, and Roman numerals. CBSE emphasises both notation systems equally and includes estimation-based word problems. The new Ganita Prakash textbook adds pattern-based exploration to number sense.

ICSE (Selina / ML Aggarwal)
The "Number System" chapter in ICSE Class 6 goes deeper into the International system and introduces the concept of a number line for large numbers. ICSE papers tend to include more multi-step word problems comparing large quantities and often test conversion between the two systems.

IB MYP (Mathematics Framework)
The MYP "Number Operations" unit focuses on conceptual understanding. Students explore place value through real-world data sets (population, astronomy, economics) and are expected to justify their reasoning. The IB does not use the Indian notation, so all work is in the International system, but the underlying concepts are identical.

Key Differences at a Glance:
* CBSE: Equal weight to Indian & International systems; estimation is a major sub-topic.
* ICSE: Slightly heavier focus on International system; more word problems.
* IB: Conceptual and inquiry-based; exclusively International notation; emphasis on real-world application.

Grab your free PDF worksheets and start practising today:

* Numbers & Place Value CBSE Worksheet — 60 questions aligned to NCERT Chapter 1
* Numbers & Place Value ICSE Worksheet — 60 questions aligned to Selina / ML Aggarwal

Prefer interactive practice with instant feedback?

* Practice Online — CBSE
* Practice Online — ICSE
* Practice Online — IB

Each worksheet contains 20 questions per level (Level 1, 2, 3) with a detailed answer key at the end.

SparkEd offers much more than worksheets. Here are some resources to accelerate your Class 6 maths journey:

* AI Maths Solver — Stuck on a problem? Upload a photo or type it in and get a step-by-step solution.
* Spark Coach — An AI tutor that guides you with hints instead of giving away the answer, 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 — Younger siblings? Let them learn maths through fun, game-based modules.

Continue building your Class 6 maths foundation with these worksheets:

* Whole Numbers Class 6 Worksheet
* Number Play Class 6 Worksheet
* Patterns in Mathematics Class 6 Worksheet
* Fractions & Decimals Class 6 Worksheet
* Integers Class 6 Worksheet
* Prime Numbers & Factors Class 6 Worksheet