Number Play 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.

Parents and teachers often look for a class 6 maths chapter 7 worksheet with answers or a class 6 maths chapter 3 worksheet with answers — here you will find those and every other chapter too. Every class 6th maths worksheet is aligned to the latest NCERT pattern, so the maths worksheets of class 6 you download match exactly what is taught in school. Need a quick class 6th mathematics solution or a handy class 6th math formula sheet? Check out the Class 6 All Formulas guide.

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

What is Number Play?

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. Number Play is one of the most engaging chapters in the Class 6 NCERT Ganita Prakash textbook. It invites students to explore numbers not as dry symbols on a page but as living objects with surprising properties. Why does reversing and subtracting a two-digit number always give a multiple of $9$? Why are palindromes special? What makes magic squares magical?

This chapter covers divisibility rules, digit sums, palindromic numbers, number puzzles, and magic squares. It also introduces the idea that mathematics is about exploration and reasoning, not just computation. Students who enjoy this chapter often develop a lasting appreciation for mathematical thinking.

While ICSE and IB do not have a chapter titled "Number Play," many of the underlying ideas — divisibility, digit properties, logical reasoning — appear across their syllabi. This worksheet is therefore useful for students of all boards who want to sharpen their number sense and logical thinking.

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

Key Concepts & Formulas

Refresh these ideas before the worksheet:

• Divisibility rules:
• - By $2$: last digit is even.
• - By $3$: sum of digits is divisible by $3$.
• - By $4$: last two digits form a number divisible by $4$.
• - By $5$: last digit is $0$ or $5$.
• - By $9$: sum of digits is divisible by $9$.
• - By $11$: alternating sum of digits is $0$ or divisible by $11$.
• Digit sum — Add all digits of a number. E.g., digit sum of $487 = 4 + 8 + 7 = 19 \to 1 + 9 = 10 \to 1 + 0 = 1$.
• Palindromic numbers — Read the same forwards and backwards: $121, 1331, 14641$.
• Reverse and subtract trick — For any two-digit number $\overline{ab}$ where $a > b$: $\overline{ab} - \overline{ba}$ is always a multiple of $9$.
• Magic squares — An $n \times n$ grid where every row, column, and diagonal sums to the same number (the magic constant).
• Magic constant for a $3 \times 3$ magic square using $1$ to $9$: $\dfrac{n(n^2 + 1)}{2} = \dfrac{3 \times 10}{2} = 15$.

How to Study Number Play Effectively

How to Use This Worksheet

1. Print the PDF — Download from the links below and work with pencil and paper.
2. Start with Level 1 (Easy) — 20 questions on divisibility tests, digit sums, and identifying palindromes.
3. Time yourself — 15 minutes for Level 1, 20 for Level 2, 25 for Level 3.
4. Check answers — Use the answer key provided in the PDF.
5. Revise mistakes — For puzzle questions, trace through the logic step by step to find where you went wrong.
6. Move to the next level — Progress when you score 16/20 or above.

Sample Questions

Level 1 — Easy

1. Is $4{,}572$ divisible by $3$? Check using the digit-sum rule.
2. *Solution:* $4 + 5 + 7 + 2 = 18$. Since $18$ is divisible by $3$, yes, $4{,}572$ is divisible by $3$.
3. Write the smallest 4-digit palindrome.
4. *Solution:* $1{,}001$.
5. What is the digit sum of $9{,}999$?
6. *Solution:* $9 + 9 + 9 + 9 = 36 \to 3 + 6 = 9$.

Level 2 — Medium

1. Take the number $73$. Reverse it to get $37$. Find $73 - 37$. Is it a multiple of $9$?
2. *Solution:* $73 - 37 = 36 = 9 \times 4$. Yes.
3. Complete the magic square where the magic constant is $15$:
4. $\begin{array}{|c|c|c|} \hline 2 & ? & 6 \\ \hline ? & 5 & ? \\ \hline ? & ? & ? \\ \hline \end{array}$
5. *Solution:* Row 1: $2 + ? + 6 = 15 \Rightarrow ? = 7$. Middle row has $5$, so the square is the standard $3 \times 3$ magic square rearranged: $\begin{array}{|c|c|c|} \hline 2 & 7 & 6 \\ \hline 9 & 5 & 1 \\ \hline 4 & 3 & 8 \\ \hline \end{array}$.
6. Find the largest 5-digit number divisible by both $5$ and $9$.
7. *Solution:* Divisible by $5$: ends in $0$ or $5$. Divisible by $9$: digit sum divisible by $9$. Largest 5-digit number $= 99{,}999$. Check: $9+9+9+9+9 = 45$ (divisible by $9$), ends in $9$ (not $0$ or $5$). Try $99{,}990$: digit sum $= 45$, ends in $0$. Answer: $99{,}990$.

Level 3 — Hard

1. Prove that $\overline{ab} - \overline{ba} = 9(a - b)$ for a two-digit number where $a > b$.
2. *Solution:* $\overline{ab} = 10a + b$ and $\overline{ba} = 10b + a$. So $\overline{ab} - \overline{ba} = (10a + b) - (10b + a) = 9a - 9b = 9(a - b)$.
3. A $4 \times 4$ magic square uses numbers $1$ to $16$. What is its magic constant?
4. *Solution:* Sum of $1$ to $16$ is $\frac{16 \times 17}{2} = 136$. Magic constant $= \frac{136}{4} = 34$.
5. Find a 3-digit number that equals the sum of the cubes of its digits.
6. *Solution:* $153 = 1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153$. (This is called a narcissistic number.)

Board-Wise Approach

CBSE (NCERT — Ganita Prakash)
Ganita Prakash dedicates a full chapter to "Number Play," covering divisibility tricks, palindromes, magic squares, and number puzzles. The chapter encourages exploration and discovery. CBSE exam questions test divisibility rules, digit sums, and puzzle completion.

ICSE (Selina / ML Aggarwal)
ICSE does not have a standalone Number Play chapter. However, divisibility rules are covered in the Number System chapter, and number puzzles appear in Mental Maths sections. ICSE students benefit from this worksheet as supplementary enrichment material.

IB MYP (Mathematics Framework)
The MYP framework embeds number exploration within its Number unit. Students investigate properties of numbers through inquiry tasks. Magic squares and palindromes may appear as extension activities. The investigative mindset aligns well with this worksheet's Level 3 questions.

Key Differences:
* CBSE: Full dedicated chapter with hands-on exploration.
* ICSE: Divisibility covered formally; puzzles as enrichment.
* IB: Inquiry-based; puzzles as investigation tasks.

Download Worksheets

Download your free Number Play worksheet:

• Number Play CBSE Worksheet — 60 questions aligned to Ganita Prakash

Practise interactively online:

• Practice Online — CBSE

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

Explore More on SparkEd

• AI Maths Solver — Stuck on a number puzzle? Get a step-by-step solution.
• Spark Coach — AI tutor that gives hints to help you crack puzzles yourself.
• Free Worksheets for All Classes — Browse worksheets across all classes and boards.
• Play Mode for Class 1-4 — Game-based number activities for younger learners.

Related Topics

Continue exploring Class 6 maths:

• Numbers & Place Value Class 6 Worksheet
• Whole Numbers Class 6 Worksheet
• Patterns in Mathematics Class 6 Worksheet
• Prime Numbers & Factors Class 6 Worksheet
• Integers Class 6 Worksheet