ICSE Class 8 Maths Solutions for All Topics, Get Tips & Answers

ICSE Class 8 Maths Solutions offer step-by-step explanations for various problems, ensuring thorough understanding. With expert-backed solutions, students can easily grasp complex concepts and perform well in exams. Focus on practice and consistency to boost confidence and improve problem-solving skills.

1. What is the sum of 245 and 678? The sum is 923.

2. Solve: 3x + 5 = 20. The value of x is 5.

3. Find the perimeter of a rectangle with length 8 cm and breadth 5 cm. Perimeter = 2(8 + 5) = 26 cm.

5. Simplify: 5/8 + 3/8. The result is 1.

6. Find the area of a square with side length 7 cm. Area = 7 × 7 = 49 cm².

7. If a triangle has sides 6 cm, 8 cm, and 10 cm, is it a right-angled triangle? Yes, it follows the Pythagorean theorem, so it’s a right-angled triangle.

8. Solve: x² - 16 = 0. x = ±4.

9. Find the value of 3³. 3³ = 27.

10. What is the LCM of 12 and 15? The LCM is 60.

11. What is the HCF of 36 and 60? The HCF is 12.

12. Convert 3/4 into a decimal. 3/4 = 0.75.

13. Find the volume of a cube with side length 4 cm. Volume = 4³ = 64 cm³.

14. Calculate the simple interest on Rs. 500 at 5% for 2 years. Simple Interest = (500 × 5 × 2) / 100 = 50.

15. What is the ratio of 20 to 25? The ratio is 4:5.

16. Solve: 2x + 3 = 7x - 5. The value of x is 1.

18. If the angles of a triangle are 40°, 60°, and 80°, are they valid? Yes, the sum of angles is 180°, so they form a valid triangle.

19. What is the mean of the numbers 12, 15, 20, and 25? Mean = (12 + 15 + 20 + 25) / 4 = 18.

20. Solve: 5y - 3 = 2y + 9. The value of y is 4.

21. Find the area of a circle with radius 5 cm. Area = π × 5² = 78.5 cm².

22. Find the square root of 81. The square root of 81 is 9.

23. Simplify: 7x + 2x. The result is 9x.

24. What is the circumference of a circle with radius 10 cm? Circumference = 2π × 10 = 62.83 cm.

25. If a car travels 60 km in 2 hours, what is its speed? Speed = 60 / 2 = 30 km/h.

26. Solve: x² + 7x + 10 = 0. The roots are x = -2 and x = -5.

27. Find the volume of a cylinder with radius 3 cm and height 8 cm. Volume = π × 3² × 8 = 226.195 cm³.

28. What is the surface area of a cube with side 6 cm? Surface area = 6 × 6² = 216 cm².

29. Find the perimeter of an equilateral triangle with side length 7 cm. Perimeter = 3 × 7 = 21 cm.

30. Find the hypotenuse of a right-angled triangle with sides 5 cm and 12 cm. Hypotenuse = √(5² + 12²) = 13 cm.

31. What is the area of a parallelogram with base 8 cm and height 4 cm? Area = 8 × 4 = 32 cm².

32. What is the mode of the numbers 5, 6, 7, 5, 5, 8? The mode is 5.

33. Find the HCF of 48 and 60. The HCF is 12.

34. Simplify: 9/16 × 4/9. The result is 4/16 = 1/4.

36. Solve: x + 7 = 3x - 5. The value of x is 6.

37. Find the area of a right-angled triangle with base 6 cm and height 8 cm. Area = (6 × 8) / 2 = 24 cm².

38. Calculate the product of 8 and 12. The product is 96.

39. What is the LCM of 18 and 24? The LCM is 72.

40. Convert 0.75 into a fraction. 0.75 = 3/4.

41. What is the perimeter of a square with side length 9 cm? Perimeter = 4 × 9 = 36 cm.

42. Find the square of 7. The square of 7 is 49.

43. Simplify: 6x + 2x. The result is 8x.

44. What is the cube root of 64? The cube root of 64 is 4.

45. Find the area of a rhombus with diagonals 10 cm and 12 cm. Area = (10 × 12) / 2 = 60 cm².

46. Solve: 2x - 5 = 3x + 4. The value of x is -9.

47. What is the mean of the numbers 18, 24, and 30? Mean = (18 + 24 + 30) / 3 = 24.

48. Find the volume of a sphere with radius 6 cm. Volume = (4/3)π × 6³ = 904.32 cm³.

49. What is the square of 12? The square of 12 is 144.

50. Find the area of a triangle with base 10 cm and height 5 cm. Area = (10 × 5) / 2 = 25 cm².

51. Solve: 5x - 7 = 3x + 9. The value of x is 8.

52. Find the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm. Perimeter = 3 + 4 + 5 = 12 cm.

53. What is the product of 7 and 9? The product is 63.

Books for ICSE Class 8 Maths Solutions

1. ICSE Mathematics Class 8 by R.S. Aggarwal This book provides detailed solutions to all topics in Class 8 mathematics, with exercises on algebra, geometry, and trigonometry.

2. ICSE Mathematics Class 8 by S. K. Gupta It includes step-by-step solutions with theory and practice questions across topics like ratios, percentages, and geometry.

3. ICSE Maths Solutions by M.L. Aggarwal A comprehensive guide for practice and understanding all important concepts, with extra exercises and explanations.

4. Understanding ICSE Mathematics by S. K. Goel This book offers practical solutions and a clear explanation of key concepts such as algebra, geometry, and statistics.

5. ICSE Mathematics for Class 8 by A. Das Gupta Includes numerous solved examples and exercises, with a focus on simplifying the methods for students.

6. Mathematics ICSE Class 8 by B.D. Sharma A well-structured book focusing on problem-solving skills, covering all essential topics with solutions.

7. ICSE Class 8 Maths by Rachna Sagar Provides in-depth solutions and is suitable for students seeking clarity on complex problems.

8. Concise Mathematics Class 8 ICSE by R.S. Aggarwal This book includes detailed worked-out examples and solutions for all Class 8 topics, focusing on algebra and geometry.

9. Class 8 ICSE Mathematics by Lakhmir Singh and Manjit Kaur Includes a comprehensive explanation of each topic with well-rounded exercises and solutions.

10. Modern ICSE Mathematics Class 8 by J. N. Sharma A good reference book with explanations, practice exercises, and solutions based on the latest ICSE syllabus.

    ICSE Class 8 Maths Solutions are essential tools for students aiming to excel in their examinations. These solutions break down complex mathematical concepts into easily understandable steps, allowing students to solve problems efficiently.

    Mathematics in Class 8 involves a wide range of topics, including algebra, geometry, mensuration, and data handling. Each topic can seem daunting, but with the right approach, students can gain confidence in solving questions with ease. By practicing regularly, students can improve their speed and accuracy, which are key in exams.

    Algebra is one of the most important sections in Class 8 maths. It includes operations with integers, linear equations, and simple identities. Algebraic expressions are foundational for later concepts in mathematics, so mastering them at this stage is crucial. Similarly, geometry covers shapes, angles, and mensuration problems. These require a solid understanding of formulas and their applications.

    Students are also introduced to data handling, which involves organizing, interpreting, and analyzing data using graphs and charts. Problem-solving techniques, such as working through word problems, are essential for developing mathematical reasoning skills.

    The best way to tackle ICSE Class 8 maths is to go beyond just memorizing formulas. Instead, focus on understanding the concepts behind them and practice regularly. In addition to textbooks, students can refer to previous years' question papers and sample papers to familiarize themselves with the exam pattern.

    Maths solutions guide students in this approach, providing clear, step-by-step answers to each problem. This is beneficial not only for understanding the correct method but also for learning how to avoid common mistakes. The use of visual aids and graphical representations further enhances the understanding of mathematical concepts, making them more relatable and easier to grasp.

    By integrating these solutions into daily study routines, students can reinforce their learning and stay ahead in their academic journey. Consistent practice, coupled with proper guidance, will ensure success in both classroom learning and examinations.

    This approach not only prepares students for exams but also builds a strong foundation for higher-level mathematics, setting them up for future success.