NCERT Solutions Class 8 Maths Chapter 6 Algebra Play will help students solve every 2026-27 Ganita Prakash Part 2 question with clear algebra steps. The PDF covers number tricks, date decoding, pyramids, calendar grids, largest-product puzzles, divisibility tricks and word problems from the latest NCERT textbook.
- Download the PDF: 34 solved NCERT question blocks with expert solutions.
- Best for practice: think-of-a-number tricks, pyramid formulas and reverse-number proofs.
- Use with questions page: open every answer in collapsible solution tabs.
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Student Feedback: In a Collegedunia practice poll of 12,860 Class 8 Mathematics students, 78% said Algebra Play became easier after each puzzle was translated into a letter-number expression.
Algebra Play NCERT Solutions PDF Overview
The Class 8 Mathematics Chapter 6 solutions explain how algebra turns a puzzle into a small equation. Students first name the unknown, then translate each instruction and simplify the expression. The key idea is that the starting number often cancels, leaving a fixed answer.
| Topic | What the solution teaches | Quick check |
|---|---|---|
| Number tricks | Why fixed answers appear after operations | Track the starting number as x |
| Number pyramids | How to find the top without filling every row | Use a plus 2b plus c |
| Calendar grids | How a grid sum reveals the top-left date | Use 4a plus 16 |
| Divisibility tricks | Why reverse and cyclic numbers have fixed factors | Write place values first |
Algebra Play Number Tricks Video for Class 8
Source: Magnet Brains on YouTube
All NCERT Solutions for Algebra Play with Step-by-Step Solutions
Students can use the companion question page when they want each answer in a collapsible format. It contains the same 34 solved NCERT questions, with Check Solution and Expert Solution tabs for quick practice.
| Practice format | Best use | Open |
|---|---|---|
| Question cards | Revise one Algebra Play question at a time | Open Step-by-Step Solutions |
Think of a Number Tricks in Algebra Play
In a number trick, the starting number is written as x. Every instruction then changes the expression. For example, double, add 6, divide by 2 and subtract the original number gives x plus 3 minus x, so the answer is 3.
- For a final answer of 3: add 6 before dividing by 2.
- For a final answer of 5: add 10 before dividing by 2.
- For a new trick: choose operations that cancel x and leave a constant.
Number Pyramids and Calendar Grids Solutions
For a three-row number pyramid, the bottom row a, b and c gives top value a plus 2b plus c. For a four-row pyramid, the bottom row a, b, c and d gives a plus 3b plus 3c plus d. Calendar grids work because dates increase by 1 across a row and by 7 down a column.
Important: for a 2 by 2 calendar grid, if the top-left date is a, the sum is 4a plus 16. If the sum is 36, then a is 5, so the grid is 5, 6, 12 and 13.
Divisibility Tricks and Algebra Word Problems
The reverse-number trick works because a two-digit number ab has value 10a plus b. Its reverse ba has value 10b plus a. Their difference becomes 9 times the digit difference, so it is divisible by 9.
| Question type | Algebra setup | Final result |
|---|---|---|
| Reverse difference | 10b plus a minus 10a minus b | 9 times the digit difference |
| Reverse sum | 10a plus b plus 10b plus a | 11 times the digit sum |
| Dosa cart problem | Profit equals revenue minus cost | Rs. 80 per dosa or 175 dosas |
| Karim and the Genie | Track doubling and payment per round | Starts with 7 coins |
Related NCERT Class 8 Mathematics Chapter 6 Resources
Use these linked Chapter 6 resources when students need the official textbook, a revision summary or handwritten-style practice for the same topic.
| Resource | Best use | Link |
|---|---|---|
| NCERT Notes | Revise formulas, number tricks and grids quickly | Open Notes |
| NCERT Book PDF | Read the official Ganita Prakash chapter | Open Book PDF |
| Handwritten Notes | Use for quick board-style revision | Open Handwritten Notes |
All Class 8 Mathematics Part 2 NCERT Solutions
The table below keeps the same resource type together, so students can move through Mathematics Part 2 chapter by chapter.
| Chapter | Chapter title | NCERT Solutions |
|---|---|---|
| Chapter 1 | Fractions in Disguise | Open NCERT Solutions |
| Chapter 2 | The Baudhayana-Pythagoras Theorem | Open NCERT Solutions |
| Chapter 3 | Proportional Reasoning 2 | Open NCERT Solutions |
| Chapter 4 | Exploring Some Geometric Themes | Open NCERT Solutions |
| Chapter 5 | Tales by Dots and Lines | Open NCERT Solutions |
| Chapter 6 | Algebra Play | Current NCERT Solutions |
| Chapter 7 | Area | Open NCERT Solutions |
NCERT Solutions Class 8 Maths Chapter 6 Algebra Play FAQs
Ques. What is covered in NCERT Solutions Class 8 Maths Chapter 6 Algebra Play?
Ans. The solutions cover number tricks, date decoding, number pyramids, calendar grids, largest-product puzzles, divisibility tricks and algebra word problems.
Ques. How many solved questions are in the Algebra Play PDF?
Ans. The PDF includes 34 solved NCERT question blocks with main solutions and expert solutions for Chapter 6 Algebra Play.
Ques. What is the most important formula in Algebra Play?
Ans. For a three-row number pyramid, the top value is a plus 2b plus c. For a 2 by 2 calendar grid, the sum is 4a plus 16.
Ques. Why is the reverse-number difference always divisible by 9?
Ans. A two-digit number and its reverse differ by 9 times the difference between the digits, so the result is always divisible by 9.
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