# NCERT Class 7 Mathematics Chapter 15 Finding the Unknown Solutions: In-Text and Exercise Questions Explained | SwaVid

This document contains questions and step-by-step solutions from NCERT Class 7 Mathematics textbook "Ganita Prakash-II", Chapter 7: "Finding the Unknown...

Canonical: https://swavid.com/maths/class/7/chapter/finding-the-unknown/ncert-solutions

Source: https://swavid.com/maths/class/7/chapter/finding-the-unknown/ncert-solutions

# Finding the Unknown

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 15 · Class 7 Mathematics

This document contains questions and step-by-step solutions from NCERT Class 7 Mathematics textbook "Ganita Prakash-II", Chapter 7: "Finding the Unknown". The questions include both in-text problems and end-of-chapter exercises, transcribed as accurately as possible from reliable online sources referencing the official NCERT textbook.

Your study route

In-text Questions

Answer: Jasmine&#x27;s arrangement is at position 49. It is not possible to make an arrangement with exactly 200 sticks.

Exercise Questions

Before you push ahead

Most stuck chapters trace back to one earlier idea. Check the prerequisites first, or let SwaVid adapt this chapter to the way your child learns.

Keep exploring Class 7

Source

- Identify the pattern for the number of matchsticks: The arrangement at position &#x27;n&#x27; has 2n + 1 matchsticks.
- For Jasmine&#x27;s arrangement with 99 sticks, set up the equation: 2n + 1 = 99.
- Subtract 1 from both sides: 2n = 99 - 1.
- Simplify: 2n = 98.
- Divide by 2: n = 98 / 2.
- Calculate n: n = 49. So, Jasmine&#x27;s arrangement is at position 49.
- For the second part, check if 200 sticks are possible. Set up the equation: 2n + 1 = 200.
- Subtract 1 from both sides: 2n = 200 - 1.
- Simplify: 2n = 199.
- Divide by 2: n = 199 / 2.
- Calculate n: n = 99.5.
- Since &#x27;n&#x27; must be a whole number (representing a position number), it is not possible to make an arrangement with exactly 200 sticks.
- NCERT Class 7 Mathematics textbook: Ganita Prakash-II : Chapter 15: Finding the Unknown

## Key Links

- [NCERT Mathematics](https://swavid.com/maths)
- [Class 7](https://swavid.com/maths/class/7)
- [Start with concepts](https://swavid.com/maths/class/7/chapter/finding-the-unknown)
- [Check a prerequisite](https://swavid.com/learning-debt-identifier)
- [Concepts](https://swavid.com/maths/class/7/chapter/finding-the-unknown)
- [Practice](https://swavid.com/maths/class/7/chapter/finding-the-unknown/practice-questions)
- [NCERT Solutions](https://swavid.com/maths/class/7/chapter/finding-the-unknown/ncert-solutions)
- [Find the gaps before this chapter](https://swavid.com/learning-debt-identifier)
- [Learn this chapter adapted to you](https://swavid.com/learning-style-test)
- [Previous chapter 14 . Constructions and Tilings](https://swavid.com/maths/class/7/chapter/constructions-and-tilings)
- [All Class 7 chapters](https://swavid.com/maths/class/7)
- [14 Constructions and Tilings Construction of a Line Parallel to a Given Line · Constructing a Triangle (SSS Criterion) Open chapter](https://swavid.com/maths/class/7/chapter/constructions-and-tilings)
- [13 Connecting the Dots Revisiting Bar Graphs · Introduction to Double Bar Graphs Open chapter](https://swavid.com/maths/class/7/chapter/connecting-the-dots)
- [12 Another Peek Beyond the Point Introduction to Exponents · Laws of Exponents (Product and Quotient) Open chapter](https://swavid.com/maths/class/7/chapter/another-peek-beyond-the-point)
- [NCERT Class 7 Mathematics textbook: Ganita Prakash-II](https://ncert.nic.in/textbook.php)