ssc 9th class maths question paper 2018 with solutions for better exam preparation

For students preparing for their SSC 9th class exams, practicing previous years’ question papers can be a valuable way to understand the pattern of questions and prepare efficiently. Here are sample questions and their answers for the SSC 9th class maths exam in 2018. These questions cover a wide range of topics from algebra, geometry, number theory, and more.

Sample Questions and Answers

1. The sum of two consecutive odd numbers is 48. What are the numbers?
   The two numbers are 23 and 25.

2. A triangle has sides of lengths 8 cm, 15 cm, and 17 cm. Is it a right-angled triangle?
   Yes, it is a right-angled triangle because 8² + 15² = 17².

3. Solve for x: 3x + 5 = 20.
   x = 5.

4. Find the value of x in the equation: 2x – 4 = 12.
   x = 8.

5. What is the area of a rectangle with length 7 cm and width 4 cm?
   The area is 28 square centimeters.

6. A person has a rectangular garden with a length of 10 meters and a width of 6 meters. What is the perimeter?
   The perimeter is 32 meters.

7. The perimeter of a square is 48 cm. What is the length of one side?
   The length of one side is 12 cm.

8. A circle has a radius of 5 cm. What is its circumference?
   The circumference is 31.42 cm (π = 3.14).

9. If the area of a square is 64 cm², what is the length of one side?
   The length of one side is 8 cm.

10. Simplify the expression: 3(2x + 4).
    The simplified expression is 6x + 12.

11. Solve the quadratic equation: x² – 5x + 6 = 0.
    The solutions are x = 2 and x = 3.

12. The sum of two numbers is 40, and their difference is 4. What are the numbers?
    The numbers are 22 and 18.

13. The cost of 1 pen is ₹5. How much will 7 pens cost?
    The total cost will be ₹35.

14. Find the perimeter of an equilateral triangle with each side measuring 6 cm.
    The perimeter is 18 cm.

15. A bag contains 5 red balls and 3 green balls. What is the probability of drawing a red ball?
    The probability is 5/8.

16. The volume of a cube is 125 cm³. What is the length of one side?
    The length of one side is 5 cm.

17. What is the simple interest on ₹500 for 3 years at an interest rate of 4% per annum?
    The simple interest is ₹60.

18. A car travels at 60 km/h. How long will it take to travel 120 km?
    It will take 2 hours.

19. A cylinder has a radius of 3 cm and a height of 7 cm. What is its volume?
    The volume is 198.24 cm³.

20. Find the mean of the following numbers: 10, 20, 30, 40, 50.
    The mean is 30.

21. Solve for y: 2y + 3 = 11.
    y = 4.

22. What is the sum of the first 10 natural numbers?
    The sum is 55.

23. Find the area of a triangle with base 12 cm and height 5 cm.
    The area is 30 square centimeters.

24. The length of a rectangle is 12 meters and its width is 8 meters. What is the area?
    The area is 96 square meters.

25. Solve the equation: 5x – 3 = 22.
    x = 5.

26. What is the perimeter of a rhombus with diagonals measuring 10 cm and 12 cm?
    The perimeter is 40 cm.

27. A car moves at a speed of 40 km/h. How far will it travel in 3 hours?
    The car will travel 120 km.

28. What is the value of π to two decimal places?
    π = 3.14.

29. A rectangle has a length of 14 cm and a width of 9 cm. What is its perimeter?
    The perimeter is 46 cm.

30. The sum of the angles in a triangle is 180°. If two angles measure 50° and 60°, what is the measure of the third angle?
    The third angle is 70°.

31. What is the square root of 81?
    The square root of 81 is 9.

32. The price of an article is ₹120. If it is sold at a 20% discount, what is the selling price?
    The selling price is ₹96.

33. Solve for z: 4z – 7 = 9.
    z = 4.

34. What is the volume of a sphere with radius 4 cm?
    The volume is 268.08 cm³.

35. If the area of a circle is 154 cm², what is the radius?
    The radius is 7 cm.

36. The height of a cone is 8 cm, and its radius is 3 cm. What is its volume?
    The volume is 75.36 cm³.

37. Find the median of the following numbers: 4, 8, 6, 10, 12.
    The median is 8.

38. A ladder is placed against a wall. The distance from the base of the wall to the foot of the ladder is 3 meters, and the ladder is 5 meters long. How high does the ladder reach?
    The ladder reaches 4 meters high.

39. The sum of three consecutive numbers is 39. What are the numbers?
    The numbers are 12, 13, and 14.

40. A triangle has angles of 40°, 60°, and 80°. What type of triangle is it?
    It is an acute-angled triangle.

41. A train travels 90 km in 1.5 hours. What is its speed?
    The speed is 60 km/h.

42. Find the area of a circle with a radius of 10 cm.
    The area is 314 cm².

43. A bag contains 10 blue marbles and 5 red marbles. What is the probability of picking a red marble?
    The probability is 1/3.

44. Find the value of x in the equation: x + 7 = 15.
    x = 8.

45. A rectangular box has dimensions 6 cm by 4 cm by 3 cm. What is its volume?
    The volume is 72 cm³.

46. The ratio of the length to the width of a rectangle is 3:2. If the length is 9 cm, what is the width?
    The width is 6 cm.

47. A gardener plants a square garden with side length 5 meters. What is the area of the garden?
    The area is 25 square meters.

48. Solve for x: 2x + 9 = 21.
    x = 6.

49. Find the hypotenuse of a right triangle with legs of 5 cm and 12 cm.
    The hypotenuse is 13 cm.

50. A book costs ₹80, and the shopkeeper gives a discount of ₹10. What is the discounted price?
    The discounted price is ₹70.

These questions and answers should help students practice and get ready for their SSC exams, building confidence with every attempT.

Recommended Books for SSC 9th Class Maths Question Paper 2018 Preparation

1. R.D. Sharma’s Mathematics for Class 9
   Publisher: Dhanpat Rai Publications
   Content: This book covers all essential topics like algebra, geometry, statistics, and probability. It provides a wide range of practice questions with varying difficulty levels, from basic to advanced.

2. NCERT Mathematics Textbook for Class 9
   Publisher: National Council of Educational Research and Training
   Content: As the official textbook for SSC students, it provides a solid foundation with clearly explained concepts and numerous exercises. It includes theoretical concepts, examples, and practice questions.

3. Selina Concise Mathematics for Class 9
   Publisher: Selina Publishers
   Content: Known for its systematic approach, this book offers detailed explanations of topics like quadratic equations, number systems, and geometry. The book also includes solved examples and practice questions.

4. Mathematics for Class 9 by M.L. Aggarwal
   Publisher: Arya Publishing House
   Content: This book offers comprehensive coverage of algebra, geometry, and arithmetic. It includes theoretical explanations, examples, and a large set of practice problems to enhance problem-solving skills.

5. Quantitative Aptitude for Competitive Examinations by R.S. Agarwal
   Publisher: S. Chand Publishing
   Content: Ideal for SSC preparation, this book includes a variety of questions from different areas of mathematics such as ratio and proportion, number series, and algebra. It is great for sharpening calculation skills.

6. Higher Algebra by Hall and Knight
   Publisher: R. Chand Publications
   Content: Focuses primarily on algebraic concepts, including factorization, quadratic equations, and linear equations. It contains numerous solved and unsolved problems for practice.

7. Maths Magic for Class 9 by S. K. Gupta
   Publisher: S. Chand Publishing
   Content: This book is designed to make mathematics fun and easier to understand. It offers a wide range of problems on topics such as geometry, algebra, and arithmetic. It’s a great book for visual learners.

8. New Math 9 for Class 9 by P. S. Verma
   Publisher: S. Chand Publishing
   Content: Provides a thorough understanding of topics with numerous practice exercises and examples. It includes practical applications of mathematical concepts, helping students prepare well for exams.

9. Understanding Mathematics for Class 9 by V.K. Agarwal
   Publisher: Bharati Bhawan Publishers
   Content: A focused book with clear explanations of key mathematical concepts. It includes detailed solutions for a variety of practice questions on different topics to build strong foundational knowledge.

10. Mathematics Class 9 by R.S. Aggarwal
    Publisher: S. Chand Publishing
    Content: This book is a popular choice due to its variety of problems and practice tests. It offers a balanced mix of theoretical explanations and question-solving techniques, making it perfect for SSC exam preparation.

11. All in One Mathematics Class 9 by Arihant Experts
    Publisher: Arihant Publications
    Content: This book is a comprehensive guide, offering chapter-wise theory, examples, and a vast collection of questions. It provides students with ample practice for exams, including solved and unsolved problems.

12. M.M. Sharma’s Mathematics for Class 9
    Publisher: Vikram Publishers
    Content: This book explains every concept in-depth with ample examples. It includes multiple-choice questions, short answer questions, and long-answer questions to prepare for all types of exam questions.

13. Tata McGraw-Hill Mathematics for Class 9
    Publisher: McGraw-Hill Education
    Content: A thorough book focusing on algebra and geometry with a wide variety of exercises. It includes practical tips for solving complex problems and improving speed and accuracy.

14. Target SSC Class 9 Mathematics by D.K. Sharma
    Publisher: Target Publications
    Content: Specially designed for SSC exam preparation, this book includes model papers, previous year questions, and detailed solutions for all types of questions, enhancing exam readiness.

15. Success Series: Mathematics Class 9 by Laxmi Publications
    Publisher: Laxmi Publications
    Content: This book offers a well-rounded approach with a focus on both theory and practical problems. It includes sample papers and mock tests for thorough practice.

16. Step by Step Mathematics for Class 9 by M. K. Sharma
    Publisher: Laxmi Publications
    Content: Offers step-by-step solutions to problems. This book covers all topics in a simple and engaging manner, with easy-to-follow techniques for solving problems effectively.

17. Practice Book for Mathematics Class 9 by K.K. Gupta
    Publisher: National Book Depot
    Content: Ideal for practice, this book includes a variety of problem sets, including tricky and advanced questions, perfect for students looking to improve problem-solving skills.

18. Mathematics for Class 9 by D.C. Pandey
    Publisher: Disha Publications
    Content: It covers the entire syllabus with detailed explanations and problem sets designed for different types of learners. The book focuses on preparing students for both theoretical and practical aspects of mathematics.

19. Comprehensive Mathematics for Class 9 by R.S. Verma
    Publisher: Ratna Sagar Publications
    Content: This book is designed to provide a thorough understanding of each topic. It includes worked examples, exercises, and application-based questions to aid in better exam preparation.

20. Foundation Mathematics for Class 9 by J. S. K. Singh
    Publisher: Krishna Prakashan Media
    Content: A detailed book that breaks down complex topics like geometry, algebra, and number systems into easily understandable concepts. It provides extensive exercises for practice.

These books are ideal for enhancing your mathematical understanding and provide sufficient practice to excel in your SSC 9th class exams.

SSC 9th Class Maths Question Paper 2018: A Comprehensive Guide

The SSC 9th class mathematics question paper is a crucial part of the academic year for students preparing for their board exams. It not only assesses students’ understanding of basic mathematical concepts but also evaluates their problem-solving skills. For the 2018 SSC 9th class, the paper was designed to cover a wide array of topics from algebra, geometry, statistics, and probability. Understanding the structure and content of the question paper is vital for effective preparation.

What to Expect in the SSC 9th Class Maths Question Paper 2018

The SSC 9th class maths question paper generally follows a structured format with a variety of question types. Students are expected to answer multiple-choice questions, short-answer questions, and long-answer questions. The primary focus is on understanding key mathematical concepts, including algebraic expressions, linear equations, geometric figures, and basic number theory.

In the 2018 paper, students were required to demonstrate their knowledge in areas like quadratic equations, real numbers, surface area and volume of solids, and coordinate geometry. The question paper was designed to test not just the student’s ability to recall formulas but also their skill in applying those formulas to solve real-life problems.

Common Question Types in SSC 9th Class Maths

1. Algebra: Questions often include simplifying algebraic expressions, solving equations, and working with polynomials. In the 2018 exam, students had to solve linear and quadratic equations.

2. Geometry: The geometry section includes problems related to triangles, quadrilaterals, circles, and other geometric shapes. Problems involving the calculation of angles, areas, and perimeters were common in the 2018 paper.

3. Statistics and Probability: These sections test the student’s ability to calculate mean, median, mode, and probability. In 2018, students were required to interpret data and solve probability-based problems.

4. Mensuration: The mensuration section focuses on the surface area and volume of different solids like cones, cylinders, and spheres. Students must be comfortable using formulas and applying them correctly to calculate the required measurements.

5. Number Theory: This section involves understanding number properties, such as factors, multiples, prime numbers, and divisibility rules.

Expert Recommendations for SSC 9th Class Maths Preparation

To perform well in the SSC 9th class maths exam, it’s crucial to practice consistently. Start by thoroughly understanding the concepts from each chapter and focus on solving a variety of problems. Regular practice helps improve problem-solving speed and accuracy. Additionally, make sure to go through previous years’ question papers, as this will give you a clear understanding of the types of questions asked and the exam pattern.

Don’t shy away from asking your teachers for clarification on concepts that seem difficult. It’s important to address doubts early on rather than letting them pile up. Additionally, focus on time management. Many students struggle to complete the paper within the allotted time. Practicing under timed conditions can significantly help improve your speed and efficiency during the exam.

FAQ for SSC 9th Class Maths Question Paper 2018

1. What is the format of the SSC 9th class maths question paper?
The SSC 9th class maths question paper typically includes multiple-choice questions, short-answer questions, and long-answer questions. These questions test students’ understanding of various mathematical concepts such as algebra, geometry, mensuration, statistics, and probability.

2. How many marks is the SSC 9th class maths paper worth?
The SSC 9th class maths question paper is usually worth 100 marks, with each section having a set weightage. The exact distribution of marks varies from year to year, so it’s important to check the specific exam pattern.

3. What topics should I focus on for the SSC 9th class maths exam?
Focus on key areas such as algebra, geometry, mensuration, statistics, and probability. Pay particular attention to solving equations, understanding geometric properties, and practicing problems related to surface area and volume.

4. How can I improve my speed in solving maths problems?
Practice regularly, focus on understanding the concepts, and solve problems under timed conditions. This will help improve both your accuracy and speed during the exam.

5. Are there any tips for scoring well in the geometry section?
In the geometry section, make sure to draw accurate diagrams, use the correct formulas for area and perimeter, and practice problems related to angles and geometric shapes. Understanding the properties of shapes is key to solving these questions effectively.

6. Is it important to solve previous years’ question papers?
Yes, solving previous years’ question papers is essential as it helps you understand the exam pattern, the type of questions asked, and the difficulty level. It also allows you to practice time management.

7. How do I tackle complex problems in the SSC 9th class maths paper?
Start by breaking the problem into smaller, manageable steps. If a problem seems complex, try solving simpler related problems first to build your understanding. Don’t hesitate to seek help from teachers or peers if you get stuck.

8. What is the best way to prepare for the statistics and probability section?
To prepare for statistics and probability, practice calculating mean, median, and mode, and solving probability problems. Understand the formulas and how to apply them to real-life situations.

9. How should I manage my time during the exam?
Time management is key. Allocate specific time slots for each section of the paper based on its marks weightage. Start with the easier questions to build confidence and leave more time for the harder ones.