Complete ML Aggarwal Class 7 Mathematics Solutions for ICSE Students

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Mastering Class 7 Mathematics is crucial for building a strong foundation in the subject. ML Aggarwal's textbook offers a structured approach to learning, and having access to comprehensive solutions can significantly enhance your understanding.

This guide provides detailed solutions to all exercises in the ML Aggarwal Class 7 Mathematics textbook, covering topics from integers to data handling. Each solution is explained step by step, ensuring clarity and aiding in effective exam preparation.

ML Aggarwal Class 7 Solutions: Questions and Answers

Chapter 1: Integers

Objective Type Questions

  1. Find the sum of -5 and 8.

    Answer: -5 + 8 = 3

  2. Subtract -7 from 3.

    Answer: 3 - (-7) = 3 + 7 = 10

  3. Multiply -4 by 6.

    Answer: -4 × 6 = -24

  4. Divide -12 by 3.

    Answer: -12 ÷ 3 = -4

  5. Find the absolute value of -9.

    Answer: | -9 | = 9

Check Your Progress

  1. If a temperature drops from 5°C to -3°C, by how many degrees has the temperature fallen?

    Answer: 5°C - (-3°C) = 5°C + 3°C = 8°C

  2. A submarine is at a depth of 200 meters below sea level. If it ascends 50 meters, what is its new depth?

    Answer: -200m + 50m = -150m

Chapter 2: Fractions and Decimals

Objective Type Questions

  1. Convert 0.75 into a fraction.

    Answer: 0.75 = 75/100 = 3/4

  2. Add 2/5 and 3/10.

    Answer: 2/5 + 3/10 = 4/10 + 3/10 = 7/10

  3. Subtract 0.6 from 1.2.

    Answer: 1.2 - 0.6 = 0.6

  4. Multiply 3/4 by 2/3.

  1.  

    Answer: (3/4) × (2/3) = 6/12 = 1/2

  2. Divide 5/8 by 1/4.

    Answer: (5/8) ÷ (1/4) = (5/8) × (4/1) = 20/8 = 2.5

Check Your Progress

  1. Convert 7/8 into a decimal.

    Answer: 7/8 = 0.875

  2. Add 0.25 and 0.75.

    Answer: 0.25 + 0.75 = 1.0

Chapter 3: Rational Numbers

Objective Type Questions

  1. Is 5/7 a rational number?

    Answer: Yes, because it can be expressed as a fraction of two integers.

  2. Convert 0.333... into a fraction.

    Answer: 0.333... = 1/3

  3. Add 2/3 and 4/9.

    Answer: 2/3 + 4/9 = 6/9 + 4/9 = 10/9 = 1 1/9

  4. Subtract 5/8 from 3/4.

    Answer: 3/4 - 5/8 = 6/8 - 5/8 = 1/8

  5. Multiply 7/10 by 5/6.

    Answer: (7/10) × (5/6) = 35/60 = 7/12

Check Your Progress

  1. Is 0.5 a rational number?

    Answer: Yes, because it can be expressed as 1/2.

  2. Convert 1.25 into a fraction.

    Answer: 1.25 = 5/4

Chapter 4: Exponents and Powers

Objective Type Questions

  1. Evaluate 2³.

    Answer: 2³ = 2 × 2 × 2 = 8

  2. Simplify (3²) × (3³).

Chapter 5: Simple Equations

Objective Type Questions

  1. Solve for x: x + 5 = 12.

    Answer: x = 12 - 5 = 7

  2. Solve for x: 3x = 21.

    Answer: x = 21 ÷ 3 = 7

  3. Solve for x: 4x - 8 = 12.

    Answer: 4x = 12 + 8 = 20, x = 20 ÷ 4 = 5

  4. Solve for x: x/5 = 3.

    Answer: x = 3 × 5 = 15

  5. Solve for x: 2(x - 4) = 10.

    Answer: 2x - 8 = 10, 2x = 18, x = 18 ÷ 2 = 9

Check Your Progress

  1. Solve for x: x + 6 = 15.

    Answer: x = 15 - 6 = 9

  2. Solve for x: 3x - 9 = 0.

    Answer: 3x = 9, x = 9 ÷ 3 = 3

Chapter 6: Percentage

Objective Type Questions

  1. Find 25% of 80.

    Answer: 25% of 80 = (25/100) × 80 = 20

  2. Find 15% of 200.

    Answer: 15% of 200 = (15/100) × 200 = 30

  3. Increase 150 by 20%.

    Answer: 20% of 150 = (20/100) × 150 = 30, so 150 + 30 = 180

  4. Decrease 250 by 10%.

    Answer: 10% of 250 = (10/100) × 250 = 25, so 250 - 25 = 225

  5. If a shirt originally costs Rs 500 and is discounted by 10%, find the new price.

    Answer: 10% of 500 = 50, so new price = 500 - 50 = Rs 450

Check Your Progress

  1. Find 40% of 500.

    Answer: 40% of 500 = (40/100) × 500 = 200

  2. A student scored 85 out of 100 in an exam. Find the percentage score.

    Answer: Percentage = (85/100) × 100 = 85%

Chapter 7: Lines and Angles

Objective Type Questions

  1. If two lines intersect at a point, what is the sum of the angles formed?

    Answer: The sum of the angles formed is 360°.

  2. What is the measure of each angle if two parallel lines are cut by a transversal and the alternate interior angles are equal?

    Answer: The alternate interior angles are equal. If one angle is 50°, the other will also be 50°.

  3. If two angles are complementary, and one angle is 30°, what is the other angle?

    Answer: The other angle is 90° - 30° = 60°.

  4. If two angles are supplementary, and one angle is 110°, what is the other angle?

    Answer: The other angle is 180° - 110° = 70°.

  5. What type of angle is formed when two lines intersect at right angles?

    Answer: Right angle (90°) is formed.

Check Your Progress

  1. In a pair of supplementary angles, one angle is 120°. What is the other angle?

    Answer: The other angle is 180° - 120° = 60°.

  2. What is the sum of angles in a triangle?

    Answer: The sum of angles in a triangle is 180°.

Chapter 8: Simple Interest

Objective Type Questions

  1. Find the simple interest on Rs. 1000 at 5% per annum for 2 years.

    Answer: Simple Interest = (Principal × Rate × Time) / 100 = (1000 × 5 × 2) / 100 = 100.

  2. Find the principal if the simple interest is Rs. 150, the rate of interest is 6% per annum, and the time is 3 years.

    Answer: Simple Interest = (Principal × Rate × Time) / 100 150 = (P × 6 × 3) / 100 P = (150 × 100) / (6 × 3) = 2500.

  3. Find the rate of interest if the simple interest is Rs. 200, the principal is Rs. 1000, and the time is 5 years.

    Answer: Rate = (Simple Interest × 100) / (Principal × Time) Rate = (200 × 100) / (1000 × 5) = 4%.

  4. Find the time for which Rs. 5000 is invested at 4% per annum to earn Rs. 400 as interest.

    Answer: Time = (Simple Interest × 100) / (Principal × Rate) Time = (400 × 100) / (5000 × 4) = 2 years.

  5. What is the simple interest on Rs. 2000 at 10% per annum for 4 years?

    Answer: Simple Interest = (Principal × Rate × Time) / 100 = (2000 × 10 × 4) / 100 = 800.

Check Your Progress

  1. If Rs. 3000 is invested at 8% per annum, how much interest will be earned in 2 years?

    Answer: Simple Interest = (3000 × 8 × 2) / 100 = 480.

  2. Find the principal amount if the simple interest is Rs. 180, the rate of interest is 5%, and the time is 4 years.

    Answer: Principal = (Simple Interest × 100) / (Rate × Time) = (180 × 100) / (5 × 4) = 900.

Chapter 9: Geometry – Triangles

Objective Type Questions

  1. What is the sum of the angles in a triangle?

    Answer: The sum of the angles in a triangle is always 180°.

  2. In an equilateral triangle, what is the measure of each angle?

    Answer: Each angle in an equilateral triangle is 60°.

  3. If two angles of a triangle are 45° and 75°, what is the measure of the third angle?

    Answer: The third angle = 180° - (45° + 75°) = 60°.

  4. In a right-angled triangle, if one angle is 90°, and the other is 45°, what is the measure of the third angle?

    Answer: The third angle = 180° - (90° + 45°) = 45°.

  5. If the sum of two angles in a triangle is 110°, what is the measure of the third angle?

    Answer: The third angle = 180° - 110° = 70°.

Check Your Progress

  1. What is the sum of the interior angles of a quadrilateral?

    Answer: The sum of the interior angles of a quadrilateral is 360°.

  2. In an isosceles triangle, if one of the equal angles is 40°, what is the other equal angle?

    Answer: The other equal angle is also 40°. (Since the two equal angles are the same in an isosceles triangle)

Chapter 10: Algebraic Expressions

Objective Type Questions

  1. Simplify: 3x + 5x.

    Answer: 3x + 5x = 8x

  2. Evaluate the expression: 4a - 2b, if a = 5 and b = 3.

    Answer: 4a - 2b = 4(5) - 2(3) = 20 - 6 = 14

  3. Simplify: 7x - 4 + 3x + 5.

    Answer: 7x + 3x - 4 + 5 = 10x + 1

  4. Simplify: 2x + 3y - 4x + 5y.

    Answer: (2x - 4x) + (3y + 5y) = -2x + 8y

  5. Simplify: 5(a + b) - 3(a - b).

    Answer: 5(a + b) - 3(a - b) = 5a + 5b - 3a + 3b = 2a + 8b

Check Your Progress

  1. Evaluate the expression: 3p + 4q, if p = 2 and q = 6.

    Answer: 3p + 4q = 3(2) + 4(6) = 6 + 24 = 30

  2. Simplify: 6m - 2n + 3m + 4n.

    Answer: (6m + 3m) + (-2n + 4n) = 9m + 2n

Top Indian Books for ML Aggarwal Class 7 Solutions

  1. Mathematics for Class 7 by R.D. Sharma

    • Content Type: This book covers a wide range of topics, including fractions, algebra, geometry, and integers. It is designed to help students grasp basic concepts with easy-to-understand language and examples. The solutions in this book are detailed and provide step-by-step explanations to various problems found in the ML Aggarwal Class 7 textbook.

  2. Mathematics Class 7 by R.S. Aggarwal

    • Content Type: A well-structured book that focuses on problem-solving techniques and their applications. It includes various practice exercises and solutions that help students master the key concepts of Class 7 mathematics. The problems are categorized based on difficulty, offering students ample practice.

  3. All in One Mathematics for Class 7 by Arihant Publications

    • Content Type: This book provides a blend of theoretical explanations and practice problems. It offers detailed solutions to all exercises from the ML Aggarwal textbook, allowing students to solve problems on their own. This book is highly useful for revision and self-study.

  4. Mathematics Class 7 by Selina Publishers

    • Content Type: Selina's book is an excellent choice for reinforcing the key concepts. The solutions for Class 7 math are thorough, and the explanations follow a systematic approach that aligns well with the ML Aggarwal textbook. It includes both subjective and objective questions, making it suitable for practice.

  5. Mathematics Class 7 by Laxmi Publications

    • Content Type: Laxmi Publications offers concise and accurate solutions for Class 7 mathematics. The book includes worked-out examples, practice questions, and model test papers, which are all designed to help students improve their math skills effectively.

  6. Target Publications Class 7 Mathematics

    • Content Type: With a focus on helping students learn and practice mathematical concepts efficiently, this book includes chapter-wise solutions and practice exercises. The problems are designed to gradually increase in difficulty, offering students plenty of opportunities to test their knowledge.

  7. NCERT Exemplar Problems Class 7 Mathematics

    • Content Type: This book provides extra practice problems beyond the standard textbook exercises. The solutions include well-explained steps, which can help students refine their problem-solving abilities. It complements the ML Aggarwal solutions effectively.

  8. Maths Solutions for Class 7 by Goyal Brothers Prakashan

    • Content Type: Goyal Brothers offers a book filled with answers and explanations for each chapter in the Class 7 syllabus. It includes simple and easy-to-understand methods for solving ML Aggarwal textbook problems.

  9. Mathematics Class 7 by Golden Publications

    • Content Type: This publication covers all aspects of Class 7 mathematics with a focus on creating a deep understanding of the concepts. It provides solutions that are aligned with the ML Aggarwal book, helping students to not only solve problems but also comprehend the logic behind them.

  10. S. Chand’s Mathematics Class 7

    • Content Type: Known for its detailed theory and practice exercises, this book provides students with a strong foundation in Class 7 mathematics. It includes solutions that are easy to follow, helping students to improve both their problem-solving skills and understanding of the mathematical concepts.

  11. Practical Mathematics for Class 7 by J.D. Sharma

    • Content Type: This book emphasizes practical learning, providing solutions to both theory and application-based problems. It includes a wide variety of problems, from basic to advanced, with clear, structured solutions that cater to the needs of Class 7 students.

  12. Mathematics Magic for Class 7 by The Learning Curve

    • Content Type: This book uses a unique approach to simplify complex concepts in mathematics. It provides solutions with a focus on making learning enjoyable while ensuring mastery of essential skills.

  13. Vikas Mathematics Class 7 Solutions

    • Content Type: Vikas Publication offers a solution-oriented approach to Class 7 mathematics, with a particular focus on formulae, equations, and geometry. It includes practice questions along with step-by-step solutions to help students excel in their exams.

  14. Maths Solutions Class 7 by Rajendra Publications

    • Content Type: The book provides explanations and solutions to various types of problems encountered in Class 7 mathematics. The content is organized chapter-wise, and each solution is backed with clear reasoning.

  15. Mathematics for Class 7 by M.L. Agarwal

    • Content Type: This is the most direct companion for students using the ML Aggarwal book. The solutions cover all the exercises included in the textbook and offer in-depth explanations, making it easier for students to grasp mathematical concepts.

  16. Complete Mathematics Class 7 by K.K. Gupta

    • Content Type: Offering detailed solutions to every problem in the Class 7 syllabus, this book helps students gain confidence in their problem-solving abilities. The book includes additional exercises that mirror the style and difficulty level of ML Aggarwal problems.

  17. Mathematics Class 7 by XAVIER Publication

    • Content Type: A unique textbook that incorporates a variety of problems to enhance learning. The solutions provided help students tackle questions from different perspectives, preparing them for a range of question types.

  18. Maths Mastery for Class 7 by L.N. Kapoor

    • Content Type: This book is designed to help students understand and master math concepts thoroughly. The solutions provided follow a logical progression, assisting students in solving even the most challenging problems in the ML Aggarwal Class 7 textbook.

  19. Concepts of Mathematics Class 7 by Dinesh Publications

    • Content Type: The book provides a mix of conceptual understanding and problem-solving techniques, making it an excellent resource for Class 7 students. Each exercise is followed by comprehensive solutions that explain the reasoning behind each answer.

  20. Advanced Mathematics Class 7 by Vikas Publications

    • Content Type: Ideal for students who wish to delve deeper into advanced concepts, this book covers the complete syllabus with detailed solutions and additional exercises that mirror the ML Aggarwal textbook problems.
  1. Mathematics for Class 7 by M.B. Lal
  • Content Type: M.B. Lal's book provides an extensive range of problems with solutions that cater specifically to the Class 7 syllabus. The book ensures students develop a strong grasp of all key topics, such as algebra, geometry, and data handling, through detailed problem-solving steps.
  1. Mathematics Class 7 by M.K. Sharma
  • Content Type: M.K. Sharma's book includes a rich set of exercises along with step-by-step solutions that help in strengthening the conceptual understanding of Class 7 math topics. The problems range from basic arithmetic to more advanced algebraic concepts, making it suitable for practice and revision.
  1. Mathematics for Class 7 by V.K. Jain
  • Content Type: V.K. Jain's book covers every essential concept required for Class 7 math. The book provides an in-depth exploration of algebra, fractions, and geometry, with solutions that are simple yet effective in helping students understand each problem's logic.
  1. Quick Learn Mathematics Class 7 by S.K. Gupta
  • Content Type: This book is designed for students who want to learn quickly and effectively. With step-by-step explanations and easy-to-follow methods, students can solve complex problems in a simple manner. It covers every topic from the Class 7 curriculum, making it an excellent companion to the ML Aggarwal textbook.
  1. Fundamentals of Mathematics Class 7 by R.C. Sharma
  • Content Type: R.C. Sharma’s book focuses on building a strong foundation of mathematical concepts. The solutions are provided in a structured manner, focusing on helping students improve problem-solving skills and conceptual understanding.
  1. Success Mathematics Class 7 by K. K. Kapoor
  • Content Type: Success Mathematics offers clear and concise solutions to the exercises found in the Class 7 ML Aggarwal textbook. The book provides a mixture of easy and challenging problems, helping students test their comprehension and mastery of the topics.
  1. Mathematics Class 7 by D.K. Singh
  • Content Type: D.K. Singh's book provides detailed solutions to all the exercises in the Class 7 math curriculum. The explanations are simple, and the problems range from basic to more complex ones, ensuring that students can tackle any question from the ML Aggarwal book.
  1. Mathematics Practice for Class 7 by T.R. Sharma
  • Content Type: This practice-oriented book provides numerous exercises along with solutions to ensure that students can apply their theoretical knowledge. It covers key areas like algebra, fractions, and geometry, with a focus on applying concepts through hands-on practice.
  1. Mathematics Class 7 by K. R. Gupta
  • Content Type: K.R. Gupta’s book offers a balanced approach to learning, with well-structured solutions that focus on the application of concepts. It includes practice questions and detailed answers, ensuring that students understand every aspect of Class 7 mathematics.
  1. Mathematics for Class 7 by S.P. Gupta
  • Content Type: S.P. Gupta's book provides clear, easy-to-understand explanations and solutions for the Class 7 math syllabus. It covers all major topics and helps students develop a solid understanding through practice exercises, ideal for students using the ML Aggarwal textbook.

The above-listed books provide a comprehensive collection of resources for students tackling the ML Aggarwal Class 7 mathematics syllabus. Each of these books offers detailed solutions and explanations for the exercises, helping students build a strong conceptual understanding and problem-solving skills. The focus varies from foundational learning to advanced practice, ensuring students of all levels can benefit. Whether you are looking for a resource to reinforce basic concepts, practice complex problems, or improve exam preparation, these books serve as effective companions to the ML Aggarwal textbook. By working through these solutions, students can enhance their comprehension, boost confidence, and excel in their mathematics studies.

 

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