The Class 7 Maths Chapter 7 NCERT Solutions for Finding the Unknown help students practise equations from the 2026-27 Ganita Prakash Part 2 textbook. This chapter moves from balance pictures and number machines to word problems, patterns and angle equations.
- 20 solved prompts cover mobiles, scales, integer equations, patterns and real-life unknowns.
- Visual questions are supported with NCERT source figures and explicit equation setup.
- Checked answers include the corrected egg value and the page 187 mistake-correction questions.
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Student Feedback: Most students find this chapter easier when each picture is translated into one equality before doing any calculation. Write the equation first, then solve.
What Class 7 Finding the Unknown Covers
Finding the Unknown introduces algebra as a way to describe a missing value. The chapter starts with pictures where objects balance each other, then moves into equations such as 3x - 10 = 35 and 4k + 1 = 13. Students learn that the same operation must be applied to both sides of an equation.
| Chapter part | What students practise | Useful habit |
|---|---|---|
| Unknown weights | Mobiles, bags and balance scales | Turn each balance into equality |
| Equation solving | Linear equations with integers and fractions | Keep signs visible at every step |
| Word problems | Costs, fares, numbers and patterns | Name the unknown before writing the equation |
| Geometry links | Triangle angles and window rods | Use the known total, such as 180 degrees |
How to Solve Balance and Mobile Questions
In a balance question, the picture says that two expressions have equal value. For example, if three breads of weight 2 balance two eggs, the equation is 6 = 2 eggs, so each egg weighs 3. This is why the visual step must be checked before writing the final answer.
- Mark the same objects with the same variable.
- Use the total label or balance bar to write one equation.
- Substitute the answer back into the picture before boxing it.
Equation Methods Used in Chapter 7
The chapter mainly uses one-step and two-step linear equations. Students isolate the unknown by undoing addition, subtraction, multiplication or division. For expressions with brackets, expand first and then collect like terms. The solutions PDF keeps every operation visible so students can follow the exact balancing move.
| Equation type | Example | First move |
|---|---|---|
| Subtracting constant | 3x - 10 = 35 | Add 10 to both sides |
| Variable both sides | 3u - 7 = 2u + 3 | Subtract 2u from both sides |
| Bracket equation | 4(m + 6) - 8 = 2m - 4 | Expand the bracket |
| Fraction equation | u / 15 = 6 | Multiply by 15 |
Important Answers from Page 185 to Page 189
The page 185 to page 189 questions combine several formats in one stretch. The PDF restates the visual data wherever a crop might be hard to read, then solves each part. This helps students use the source figures without losing the equation behind them.
| Question set | Final answer | Check idea |
|---|---|---|
| Numbers in ratio 1:3 with sum 76 | 19 and 57 | 19 + 57 = 76 |
| Window grill gap | 3 cm | Six equal gaps share 18 cm |
| Fruit juice and milkshake | Rs 45 and Rs 60 | 4 fruit juices plus 7 milkshakes cost Rs 600 |
| Mistake corrections | 19/2, 6/7, -13/5 | Redo the same operation on both sides |
| Path puzzle | Start, 4, 3, 13, 4, 4, End | Each solved value points to the next box |
All NCERT Solutions for Finding the Unknown with Step-by-Step Solutions
The separate question card page opens every NCERT prompt in practice format. Students can try the question first, then reveal the solved answer and expert explanation.
Open Finding the Unknown Question Answers
Finding the Unknown Video Explanation
Source: Magnet Brains on YouTube
More Class 7 Mathematics Solutions
| Resource | Link |
|---|---|
| NCERT Notes | Finding the Unknown Notes |
| Handwritten Notes | Finding the Unknown Handwritten Notes |
| NCERT Book PDF | Finding the Unknown NCERT Book PDF |
| Exemplar Solutions | Finding the Unknown Exemplar Solutions |
| Chapter | Live NCERT Solutions |
|---|---|
| Chapter 6 Constructions and Tilings | Open Solutions |
| Chapter 5 Connecting the Dots | Open Solutions |
| Chapter 4 Another Peek Beyond the Point | Open Solutions |
| Chapter 2 Operations with Integers | Open Solutions |
Class 7 Mathematics NCERT Solutions Chapter Links
| Chapter | NCERT Solutions |
|---|---|
| Chapter 1 Geometric Twins | Open Solutions |
| Chapter 2 Operations with Integers | Open Solutions |
| Chapter 5 Connecting the Dots | Open Solutions |
| Chapter 6 Constructions and Tilings | Open Solutions |
Finding the Unknown NCERT Solutions FAQs
Ques. What is the main idea of Class 7 Maths Chapter 7 Finding the Unknown?
Ans. The chapter teaches students to represent an unknown value with a letter and solve the equation by keeping both sides balanced.
Ques. Does the PDF include the visual balance questions?
Ans. Yes. The PDF includes source figures for mobile, scale, number-machine, pattern and path-puzzle questions with step-by-step answers.
Ques. How should students check an equation answer?
Ans. Substitute the value back into the original equation or picture. If both sides become equal, the answer is correct.
Ques. Which page 187 mistake corrections are included?
Ans. The corrected answers are x = 19/2 for 6x + 9 = 66, y = 6/7 for 14y + 24 = 36, and x = -13/5 for 4x - 5 = 9x + 8.
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