6th Standard Mathematics Question Paper 2018: Key Questions and Solutions

Maths Sample Questions and Answers:

1. What is the sum of 257 and 168?
   The sum of 257 and 168 is 425.

2. Subtract 489 from 734.
   734 – 489 = 245.

3. Multiply 28 by 12.
   28 × 12 = 336.

4. What is the division of 960 by 8?
   960 ÷ 8 = 120.

5. Find the perimeter of a rectangle with length 12 cm and width 5 cm.
   The perimeter of a rectangle is 2 × (length + width).
   2 × (12 + 5) = 2 × 17 = 34 cm.

6. A box contains 120 marbles. If there are 15 marbles in each row, how many rows are there?
   120 ÷ 15 = 8 rows.

7. What is the product of 56 and 14?
   56 × 14 = 784.

8. Convert 2500 milliliters to liters.
   2500 milliliters = 2.5 liters.

9. What is the area of a square with side length 9 cm?
   Area = side × side = 9 × 9 = 81 cm².

10. Add 357, 689, and 145.
    357 + 689 + 145 = 1191.

11. Subtract 987 from 1500.
    1500 – 987 = 513.

12. If a pencil costs 20 rupees, how much will 15 pencils cost?
    15 × 20 = 300 rupees.

13. Divide 500 by 10.
    500 ÷ 10 = 50.

14. Multiply 45 by 18.
    45 × 18 = 810.

15. What is the average of the numbers 10, 20, and 30?
    Average = (10 + 20 + 30) ÷ 3 = 60 ÷ 3 = 20.

16. A farmer has 350 apples. If he packs them in boxes with 25 apples each, how many boxes will he need?
    350 ÷ 25 = 14 boxes.

17. Find the difference between 650 and 325.
    650 – 325 = 325.

18. A car travels 60 km in one hour. How far will it travel in 5 hours?
    60 × 5 = 300 km.

19. What is the product of 62 and 25?
    62 × 25 = 1550.

20. Find the area of a triangle with base 8 cm and height 5 cm.
    Area = (base × height) ÷ 2 = (8 × 5) ÷ 2 = 40 ÷ 2 = 20 cm².

21. A shop sells 3 books for 150 rupees. How much will 5 books cost?
    Cost of 5 books = (150 ÷ 3) × 5 = 50 × 5 = 250 rupees.

22. What is the sum of 178, 220, and 92?
    178 + 220 + 92 = 490.

23. Find the perimeter of a square with a side length of 15 cm.
    Perimeter = 4 × side = 4 × 15 = 60 cm.

24. Multiply 78 by 6.
    78 × 6 = 468.

25. If a train travels 85 km in one hour, how far will it travel in 4 hours?
    85 × 4 = 340 km.

26. Convert 5 meters to centimeters.
    5 meters = 500 centimeters.

27. A car uses 10 liters of fuel to travel 150 km. How much fuel will it use to travel 300 km?
    Fuel for 300 km = (10 × 300) ÷ 150 = 20 liters.

28. Find the average of the numbers 40, 50, and 60.
    Average = (40 + 50 + 60) ÷ 3 = 150 ÷ 3 = 50.

29. What is the difference between 1024 and 765?
    1024 – 765 = 259.

30. A bag contains 240 candies. If 15 candies are given to each child, how many children will receive candies?
    240 ÷ 15 = 16 children.

31. A person runs 100 meters in 15 seconds. How many meters will they run in 1 minute?
    100 × 4 = 400 meters.

32. What is the total cost of 4 items if each costs 80 rupees?
    4 × 80 = 320 rupees.

33. If you divide 300 by 25, what is the result?
    300 ÷ 25 = 12.

34. Add 52, 84, and 93.
    52 + 84 + 93 = 229.

35. Multiply 32 by 9.
    32 × 9 = 288.

36. Find the area of a rectangle with length 10 cm and width 6 cm.
    Area = length × width = 10 × 6 = 60 cm².

37. Subtract 1200 from 2300.
    2300 – 1200 = 1100.

38. What is the perimeter of a rectangle with length 25 cm and width 10 cm?
    Perimeter = 2 × (length + width) = 2 × (25 + 10) = 2 × 35 = 70 cm.

39. Divide 960 by 32.
    960 ÷ 32 = 30.

40. What is the total of 145, 287, and 392?
    145 + 287 + 392 = 824.

41. Find the area of a triangle with base 7 cm and height 12 cm.
    Area = (base × height) ÷ 2 = (7 × 12) ÷ 2 = 84 ÷ 2 = 42 cm².

42. Multiply 81 by 5.
    81 × 5 = 405.

43. What is the difference between 300 and 176?
    300 – 176 = 124.

44. A person buys 7 packs of biscuits, each costing 50 rupees. What is the total cost?
    7 × 50 = 350 rupees.

45. Find the perimeter of a square with side length 25 cm.
    Perimeter = 4 × side = 4 × 25 = 100 cm.

46. Multiply 64 by 8.
    64 × 8 = 512.

47. How many 10-rupee coins make 200 rupees?
    200 ÷ 10 = 20 coins.

48. A book has 120 pages. If a person reads 15 pages per day, how many days will it take to read the whole book?
    120 ÷ 15 = 8 days.

49. Subtract 245 from 635.
    635 – 245 = 390.

50. What is the perimeter of a triangle with sides of length 9 cm, 7 cm, and 5 cm?
    Perimeter = 9 + 7 + 5 = 21 cm.

Best Indian Books for 6th Std Maths Question Paper 2018: Recommended Resources

1. “Mathematics Class 6” by R.S. Aggarwal
   Publisher: S. Chand Publishing
   This book includes a variety of questions to help students practice their basic arithmetic skills, geometry, and data handling. It offers clear explanations and simple exercises for students to master core concepts.

2. “Together With Mathematics Class 6” by R. Gupta
   Publisher: R. Gupta Publications
   A comprehensive guide with chapter-wise questions, this book focuses on problem-solving techniques, numerical operations, and real-life applications of mathematical concepts.

3. “All in One – Mathematics Class 6” by Arihant Experts
   Publisher: Arihant Publications
   The book provides practice questions on topics such as fractions, algebra, geometry, and measurements, along with multiple-choice questions and activities to make learning interactive and fun.

4. “NCERT Mathematics for Class 6”
   Publisher: National Council of Educational Research and Training
   As the official textbook, it presents fundamental mathematical concepts in an easy-to-understand format, focusing on problem-solving, real-life applications, and step-by-step explanations.

5. “R.D. Sharma Mathematics Class 6” by R.D. Sharma
   Publisher: Dhanpat Rai Publications
   This book covers a wide range of topics including number systems, fractions, ratios, and simple geometry. It contains a variety of examples and exercises that help students build a solid foundation in mathematics.

6. “Mathematics for Class 6” by M.L. Aggarwal
   Publisher: Vikas Publishing House
   This book includes detailed explanations of key concepts with practice questions, covering topics like decimals, integers, geometry, and basic statistics, ensuring comprehensive coverage of the curriculum.

7. “Smart Mathematics Class 6” by P. Gupta
   Publisher: Target Publications
   Designed for students looking to strengthen their conceptual knowledge, this book contains a good mix of problems, from simple to complex, aimed at improving problem-solving skills and logical thinking.

8. “Mathematics Class 6” by R.S. Aggarwal & V.P. Gupta
   Publisher: S. Chand Publishing
   This book is known for its clear illustrations and detailed solutions to problems. It includes various types of questions like word problems, reasoning questions, and exercises designed to improve speed and accuracy.

9. “Understanding Mathematics for Class 6” by M. Gupta
   Publisher: New Saraswati House
   This book provides an easy-to-follow approach to learning mathematics, with a wide variety of questions designed to help students understand abstract concepts like fractions, geometry, and time and work.

10. “Mathematics for Class 6” by D.K. Agarwal
    Publisher: K.K. Gupta & Co.
    A perfect book for revision and practice, it includes both theory and numerous exercises on all the essential mathematical topics, ensuring students are prepared for exams with confidence.

11. “Exploring Mathematics Class 6” by M.K. Agarwal
    Publisher: Goyal Publishers
    The book includes questions related to practical applications of mathematics and problem-solving strategies, with an emphasis on interactive learning and thought-provoking puzzles.

12. “Maths Magic Class 6” by Rachna Sagar
    Publisher: Rachna Sagar Publications
    An engaging book that introduces mathematical concepts through fun activities and real-life applications. The exercises are designed to improve calculation speed and logical reasoning.

13. “Killer Mathematics Class 6” by R. Gupta
    Publisher: R. Gupta Publications
    This book is filled with challenging questions that push students to explore advanced concepts. It encourages logical thinking and problem-solving skills through a wide variety of questions.

14. “Mathematics for Class 6” by S.K. Gupta
    Publisher: Ratna Sagar
    Focuses on building a conceptual understanding of basic arithmetic, geometry, and data handling with a wide range of questions, helping students tackle every possible exam question.

15. “Complete Mathematics Class 6” by R.K. Bansal
    Publisher: S.K. Khelwani
    This book is a complete guide to mastering 6th-grade mathematics, offering a detailed breakdown of each topic, complete with plenty of practice exercises for hands-on learning.

16. “Mathematics Workbook Class 6” by K.P. Mehta
    Publisher: New Age International
    A workbook that challenges students with a variety of puzzles, problems, and applications, helping to develop strong problem-solving skills in mathematics.

17. “Advanced Maths Class 6” by C.P. Arora
    Publisher: K.K. Publications
    This book focuses on advanced concepts, including algebraic expressions and the basics of geometry. It is perfect for students aiming to go beyond the textbook and dive deeper into topics.

18. “Practice Book Mathematics Class 6” by Sanjeev Mehta
    Publisher: All India Publishers
    Designed for practice, this book covers all topics in the 6th grade syllabus with well-explained solutions and step-by-step approaches to solving problems effectively.

19. “Foundation Mathematics for Class 6” by S.K. Sharma
    Publisher: Dhanpat Rai & Sons
    The book focuses on laying a solid foundation for young learners in key areas such as number theory, operations on numbers, and basic geometry.

20. “Step Up Mathematics Class 6” by N.K. Soni
    Publisher: Everbest Publishers
    This book includes both basic and higher-level questions aimed at developing a well-rounded skillset in students. It encourages practice with questions designed for improving speed and accuracy during exams.

6th Std Maths Question Paper 2018: A Guide to Exam Success

The 6th standard mathematics question paper for the year 2018 posed a range of questions designed to test students’ understanding of essential mathematical concepts. From basic arithmetic operations to geometry and data handling, the paper aimed to assess students’ ability to apply their knowledge effectively. Preparing for such a paper requires a solid grasp of the syllabus, along with practice in various question types.

The key areas covered in the 6th Std Maths paper include addition, subtraction, multiplication, and division. These are the fundamental operations students need to master, as they form the foundation for more advanced topics. Ensuring a strong understanding of these basic operations will help students tackle a wide range of problems efficiently.

In addition to these, students must be well-versed in fractions, decimals, and percentages. These topics require students to understand concepts like simplifying fractions, converting decimals into fractions, and calculating percentage increases or decreases. The 6th Std Maths question paper often includes problems that ask students to solve word problems involving fractions and percentages, making it essential to practice these types of questions beforehand.

Geometry is another critical aspect of the 6th Std Maths paper. Questions related to area, perimeter, and volume frequently appear. For example, students may be asked to find the perimeter of a rectangle or the area of a triangle. These questions are designed to test students’ ability to apply formulas and understand spatial relationships between different shapes.

Data handling, too, plays a significant role in the 6th Std Maths paper. Students are usually required to interpret simple data presented in the form of tables or graphs. Questions might involve calculating the mean, median, or mode, as well as answering questions related to interpreting bar graphs or pictographs.

In preparing for the 6th Std Maths paper, students should focus on practicing a variety of problems. Regular practice not only helps build confidence but also improves problem-solving speed. Working on mock tests or previous years’ question papers is highly beneficial. It provides students with a clear understanding of the exam pattern, the types of questions asked, and how to manage time effectively during the exam.

Time management is a crucial skill in the exam. It is essential to read all questions carefully before attempting them. Students should allocate time for each section based on its weightage in the paper and stick to their time limits to ensure they can answer all questions.

To boost performance further, students should also focus on mastering their mental math skills. Quick calculations and the ability to solve problems in their head can save valuable time during the exam and increase accuracy.

FAQ for 6th Std Maths Question Paper 2018

1. What topics are covered in the 6th Std Maths Question Paper 2018?
   The paper includes topics such as basic arithmetic operations (addition, subtraction, multiplication, division), fractions, decimals, percentages, geometry (area, perimeter, volume), and data handling (graphs, mean, median, mode).

2. How can I prepare for the 6th Std Maths Question Paper 2018?
   Focus on understanding and practicing key concepts like fractions, decimals, basic operations, and geometry. Regular practice with mock papers and sample questions will help. It’s also important to improve your time management skills.

3. What types of questions can I expect in the exam?
   Expect a mix of multiple-choice questions, short-answer questions, and word problems. Topics like simple calculations, geometry problems, and data interpretation are commonly asked.

4. How much time should I allocate to each section of the exam?
   Allocate time based on the weightage of each section. For example, more time should be spent on problem-solving questions like geometry and data handling. Ensure you leave time for reviewing your answers.

5. What is the best way to practice for the exam?
   The best way to practice is by solving sample papers, previous years’ question papers, and a variety of problems from each topic. This will help you become familiar with different question formats and improve your speed and accuracy.

6. What are some common mistakes students make in the 6th Std Maths exam?
   Common mistakes include not reading questions carefully, rushing through calculations, and not managing time effectively. To avoid these, read each question carefully, double-check your answers, and allocate appropriate time to each section.

7. How can I improve my speed in solving math problems?
   Improving mental math skills through practice can significantly boost speed. Additionally, practicing under timed conditions will help you work more efficiently during the exam.

8. Are there any important formulas to remember for the exam?
   Yes, formulas for calculating area, perimeter, and volume of different shapes (such as rectangles, squares, and triangles) are essential. Make sure to memorize these formulas and understand when to apply them.

9. What is the importance of solving word problems in the exam?
   Word problems test your ability to apply mathematical concepts to real-life scenarios. Practicing these will improve your problem-solving skills and help you handle complex questions confidently.

10. How can I stay calm during the exam?
    Staying calm is crucial. Practice relaxation techniques like deep breathing and take short breaks while studying to reduce stress. During the exam, stay focused, and don’t panic if you come across difficult questions. Move on and return to them later if needed.