Class 8 Mathematics Chapter 5 Number Play is a high-frequency chapter in the CBSE Class 8 Mathematics exam. These class 8 maths handwritten notes chapter 5 Number Play follow the 2026-27 NCERT and cover writing numbers as sums of consecutive numbers, parity of sums and differences, even numbers and multiples of 4. This page hosts the notes PDF,.
- CBSE Class 8 Weightage: a scoring chapter in the Mathematics paper, asked in short and long answers.
- What the notes cover: writing numbers as sums of consecutive numbers, parity of sums and differences, even numbers and multiples of 4, always, sometimes or never true statements.
- Best for: quick revision before Class 8 exams and a strong base for Class 9.
You can read the complete class 8 maths handwritten notes for Number Play, with key terms, boxed definitions, and quick revision points, in the PDF below.
These handwritten notes are written by subject teachers, mapped to the 2026-27 NCERT, and checked against the last five years of CBSE Class 8 Mathematics papers.
What the Number Play Handwritten Notes Cover
This chapter plays with numbers to spot patterns in sums, parity, multiples and remainders. You learn quick divisibility checks and why they work, using algebra and simple pictures to explain the rules.
- Writing numbers as sums of consecutive numbers
- Parity of sums and differences
- Even numbers and multiples of 4
- Always, sometimes or never true statements
- Divisibility shortcuts for 9 and 3
- Divisibility shortcut for 11
- Checking divisibility using factors
- Remainders when dividing
- Digital roots of numbers
Number Play Self-Assessment Quiz
Try these quick questions after you read the notes. Tap each question to check your answer. They cover the points CBSE asks most often.
A number is divisible by 9 if
(a) it is even (b) it ends in 9 (c) the sum of its digits is divisible by 9 (d) it ends in 0
Answer: (c) the sum of its digits is divisible by 9 - the digit-sum rule
The sum of two odd numbers is always
(a) odd (b) even (c) prime (d) a multiple of 3
Answer: (b) even - odd plus odd gives an even number
To test divisibility by 6 you check divisibility by
(a) 2 and 4 (b) 3 and 4 (c) 2 and 3 (d) 1 and 6
Answer: (c) 2 and 3 - since 6 equals 2 times 3 and they share no factor
The digital root of a multiple of 9 is always
(a) 3 (b) 6 (c) 9 (d) 1
Answer: (c) 9 - repeated digit sums of multiples of 9 give 9
Numbers that leave remainder 3 when divided by 5 have the form
(a) 5k (b) 5k + 3 (c) 3k + 5 (d) 5k minus 3
Answer: (b) 5k + 3 - three more than a multiple of 5
To check divisibility by 11 you use the
(a) digit sum (b) last digit (c) alternating sum of digits (d) first digit
Answer: (c) alternating sum of digits - based on place values one more and one less than 11
Number Play Topic-wise Weightage for CBSE Class 8 Mathematics
Some parts of this chapter are asked more often than others. The table below shows which sub-topics to revise first, based on recent CBSE Class 8 question trends.
| Sub-topic | Weightage | CBSE Frequency |
|---|---|---|
| Divisibility shortcuts for 9, 3 and 11 | High | asked often |
| Always, sometimes or never true statements | High | asked often |
| Parity of sums and differences | Medium | asked sometimes |
| Remainders and numbers of a given form | Medium | asked sometimes |
| Sums of consecutive numbers | Medium | asked sometimes |
| Digital roots | Low | asked rarely |
Key Terms and Ideas in Number Play
These are the terms and ideas the exam asks about most. Learn each one so you can define it and use it in your answers.
| Term / Idea | What it means |
|---|---|
| Parity | whether a number is even or odd |
| Even plus even | even, and odd plus odd is also even |
| Multiple of a number | a number you get by repeatedly adding that number to itself |
| Divisibility by 9 | a number is divisible by 9 if the sum of its digits is divisible by 9 |
| Divisibility by 3 | a number is divisible by 3 if the sum of its digits is divisible by 3 |
| Divisibility by 11 | use the alternating sum of the digits and check if it is a multiple of 11 |
| Divisibility by 6 | check divisibility by both 2 and 3, since 6 = 2 times 3 |
| Digital root | the single digit you reach by adding the digits again and again |
| Remainder form | numbers with a fixed remainder r on dividing by k have the form k times a number plus r |
How Collegedunia's Handwritten Notes Help You Revise Number Play
These notes are made for the night before the exam. They keep the facts short and easy to scan. Collegedunia maps every point to the 2026-27 NCERT.
- Clear handwriting: each topic is written in neat, easy-to-read handwriting.
- Boxed key terms: the main terms and definitions are boxed by hand for fast recall.
- Diagrams and tables: simple hand-drawn tables and charts make ideas clear.
- Colour-coded headings: new sub-topics stand out, so you find any section in seconds.
How to Use These Handwritten Notes for Class 8 Mathematics Revision
Use these class 8 maths handwritten notes in two passes. Read them slowly once for the full chapter. Then, near the exam, read only the boxes and key terms for a fast recall.
- Read the notes once with the NCERT chapter open beside you.
- Say each key term and idea in your own words.
- Practise one long-answer question from a past paper.
- On the last day, revise only the key terms and the boxes.
Class 8 Mathematics Handwritten Notes for All Chapters
The table below links the class 8 maths handwritten notes for every chapter. Use it to jump to any other chapter's notes.
| Chapter | Resource |
|---|---|
| Chapter 1 | A Square and A Cube Handwritten Notes |
| Chapter 2 | Power Play Handwritten Notes |
| Chapter 3 | A Story of Numbers Handwritten Notes |
| Chapter 4 | Quadrilaterals Handwritten Notes |
| Chapter 5 | Number Play Handwritten Notes |
| Chapter 6 | We Distribute, Yet Things Multiply Handwritten Notes |
| Chapter 7 | Proportional Reasoning-1 Handwritten Notes |
Number Play Class 8 Mathematics Handwritten Notes FAQs
Ques. Where can I download Number Play Class 8 Mathematics Handwritten Notes PDF?
Ans. You can download the Number Play Class 8 Mathematics Handwritten Notes PDF directly from this page. Both the Normal and HD versions are free.
Ques. Are these handwritten notes aligned with the 2026-27 NCERT?
Ans. Yes. These notes follow the current 2026-27 syllabus for Class 8 Mathematics. Why the digit-sum trick for 9 actually works.
Ques. How many pages is the Class 8 Mathematics Number Play Handwritten Notes PDF?
Ans. The notes run about 20 pages. They cover the full chapter with key terms, hand-drawn boxes, and a short self-assessment quiz.
Ques. What is the main idea of the 8th standard Mathematics chapter Number Play?
Ans. The chapter looks for patterns in sums, parity, multiples and remainders and uses algebra to prove why they hold. It gives quick divisibility shortcuts for numbers like 3, 9 and 11 and explains the reasoning behind each one.
Ques. Are these Number Play notes enough for the CBSE Class 8 exam?
Ans. Yes, for revision. The Collegedunia handwritten notes cover every key point and exam term. Read them with the NCERT chapter and practise past questions.
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