9th Class Maths Question Paper 2018-2019 for Exam Practice

Sample Questions and Answers:

Algebraic Expressions:
Question: Simplify the expression: $3x+5x-7+4$.
Answer: $8x-3$

Question: If $x=2$, find the value of $4x+3$.
Answer: $4(2)+3=8+3=11$

Linear Equations:
Question: Solve for $y$: $2y+6=14$.
Answer: $2y=14-6$, $2y=8$, $y=4$

Question: Find the value of $x$ if $3x-7=5$.
Answer: $3x=5+7$, $3x=12$, $x=4$

Polynomials:
Question: Add the polynomials: 2×2+3x+52x^2 + 3x + 52x2+3x+5 and x2−2x+4x^2 – 2x + 4x2−2x+4.
Answer: 3×2+x+93x^2 + x + 93x2+x+9

Question: Find the value of $p$ if p2−4=5p^2 – 4 = 5p2−4=5.
Answer: p2=9p^2 = 9p2=9, $p=\pm 3$

Quadratic Equations:
Question: Solve the equation x2−9=0x^2 – 9 = 0x2−9=0.
Answer: x2=9x^2 = 9x2=9, $x=\pm 3$

Question: Find the roots of x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0.
Answer: $(x-2)(x-3)=0$, $x=2$ or $x=3$

Geometry:
Question: Find the perimeter of a rectangle with length 8 cm and width 5 cm.
Answer: $2(8+5)=26$ cm

Question: If the radius of a circle is 7 cm, find its diameter.
Answer: $2\times 7=14$ cm

Trigonometry:
Question: If sin⁡30∘=x\sin 30^\circ = xsin30∘=x, find $x$.
Answer: $x=0.5$

Question: If cos⁡60∘=y\cos 60^\circ = ycos60∘=y, find $y$.
Answer: $y=0.5$

Probability:
Question: A bag contains 3 red balls and 2 blue balls. What is the probability of picking a red ball?
Answer: $3/5$

Question: A coin is tossed. What is the probability of getting heads?
Answer: $1/2$

Mensuration:
Question: Find the area of a square with side 6 cm.
Answer: $6\times 6=36$ cm²

Question: A triangle has a base of 10 cm and height of 5 cm. Find its area.
Answer: $1/2\times 10\times 5=25$ cm²

Statistics:
Question: Find the mean of 2, 4, 6, 8, and 10.
Answer: $(2+4+6+8+10)/5=6$

Question: The median of the numbers 1, 3, 5, 7, 9 is?
Answer: 5

Coordinate Geometry:
Question: Find the midpoint between (2, 3) and (4, 7).
Answer: $(2+4)/2,(3+7)/2=(3,5)$

Question: What is the distance between (1, 2) and (4, 6)?
Answer: (4−1)2+(6−2)2=9+16=25=5 \sqrt{(4-1)^2 + (6-2)^2} = \sqrt{9+16} = \sqrt{25} = 5(4−1)2+(6−2)2​=9+16​=25​=5

Logarithm:
Question: If log 100 = x, find x.
Answer: $x=2$

Question: If log 10 = y, find y.
Answer: $y=1$

Time and Work:
Question: A person completes a task in 5 hours. How much of the task is completed in 1 hour?
Answer: $1/5$

Question: If 4 workers can do a job in 8 days, how long will 2 workers take?
Answer: $4\times 8=2\times x$, $x=16$ days

Ratio and Proportion:
Question: If a ratio is 3:4 and the sum is 28, find the numbers.
Answer: $3x+4x=28$, $x=4$, numbers are $12$ and $16$

Question: If a:b = 2:3 and b:c = 4:5, find a:c.
Answer: $2/3\times 4/5=8/15$, ratio is 8:15

Simple Interest:
Question: Find the simple interest on ₹5000 at 5% per annum for 2 years.
Answer: $(5000\times 5\times 2)/100=₹500$

Question: If principal is ₹2000, rate is 10% per year, and time is 3 years, find interest.
Answer: $(2000\times 10\times 3)/100=₹600$

Compound Interest:
Question: If ₹1000 is invested at 5% per year for 2 years, find compound interest.
Answer: 1000(1+5/100)2−1000=₹102.501000(1 + 5/100)^2 – 1000 = ₹102.501000(1+5/100)2−1000=₹102.50

Question: If ₹5000 is invested at 10% per year for 1 year, find compound interest.
Answer: $5000(1+10/100)-5000=₹500$

Profit and Loss:
Question: If cost price is ₹200 and selling price is ₹250, find profit.
Answer: Profit = ₹50

Question: If cost price is ₹300 and loss is ₹30, find selling price.
Answer: ₹270

Percentage:
Question: What is 20% of 250?
Answer: $20/100\times 250=50$

Question: If a number is increased by 10% from 200, find the new number.
Answer: $200+(10/100\times 200)=220$

Speed, Distance, and Time:
Question: If speed is 40 km/h and time is 2 hours, find distance.
Answer: $40\times 2=80$ km

Question: A car travels 120 km in 3 hours. Find speed.
Answer: $120/3=40$ km/h

These sample questions and answers will help students practice and prepare well for their exams.

Best Indian Books for 9th Class Maths Question Paper 2018-2019

1. NCERT Mathematics – Class 9
   Author: NCERT Experts
   Publication: NCERT
   Content: Covers all syllabus topics with solved examples, practice exercises, and conceptual explanations. Includes real-life application-based problems.

2. RD Sharma Mathematics for Class 9
   Author: RD Sharma
   Publication: Dhanpat Rai Publications
   Content: Detailed step-by-step solutions, advanced-level problems, and multiple-choice questions for thorough practice.

3. RS Aggarwal Mathematics for Class 9
   Author: RS Aggarwal
   Publication: Bharti Bhawan Publications
   Content: Includes numerous practice questions, previous years’ exam papers, and different types of exercises for skill enhancement.

4. Together With Mathematics Class 9
   Author: Rachna Sagar Experts
   Publication: Rachna Sagar Publications
   Content: Provides chapter-wise explanations, model test papers, and objective as well as subjective questions for better revision.

5. Xam Idea Mathematics for Class 9
   Author: VK Global Experts
   Publication: VK Global Publications
   Content: Contains board-level questions, NCERT-based exercises, sample papers, and HOTS (High Order Thinking Skills) questions.

6. All in One Mathematics Class 9
   Author: Arihant Experts
   Publication: Arihant Publications
   Content: Covers NCERT theory with additional questions, solved examples, and previous year board questions.

7. CBSE Mathematics Chapter-wise Solved Papers Class 9
   Author: Oswaal Editorial Board
   Publication: Oswaal Books
   Content: Includes previous year question papers, solutions, and self-assessment tests for exam-oriented preparation.

8. CBSE Chapterwise Mathematics Class 9
   Author: MTG Editorial Board
   Publication: MTG Learning Media
   Content: Features topic-wise solved questions from past years, NCERT-based problems, and revision exercises.

9. Evergreen Self-Study Mathematics Class 9
   Author: Evergreen Experts
   Publication: Evergreen Publications
   Content: Provides topic explanations, additional exercises, and sample papers with solutions for deep understanding.

10. Exam Mate Mathematics Class 9
    Author: Full Marks Experts
    Publication: Full Marks Publications
    Content: Includes simplified explanations, formula sheets, and multiple types of practice questions for board preparation.

11. Practice Papers in Mathematics Class 9
    Author: S Chand Experts
    Publication: S Chand Publications
    Content: Offers chapter-wise practice tests, previous years’ questions, and sample papers for self-evaluation.

12. Golden Mathematics Class 9
    Author: New Age Experts
    Publication: New Age International Publishers
    Content: A mix of theoretical concepts, solved problems, and step-wise solutions for exam revision.

13. Pradeep’s Fundamental Mathematics for Class 9
    Author: Pradeep Publications Experts
    Publication: Pradeep Publications
    Content: Covers CBSE syllabus with conceptual explanations, problem-solving techniques, and practice exercises.

14. Super 20 Sample Papers for Class 9 Mathematics
    Author: Arihant Experts
    Publication: Arihant Publications
    Content: Includes 20 sample papers with model answers, marking schemes, and exam-style questions.

15. Mathematics for Class 9 by Lakhmir Singh and Manjit Kaur
    Author: Lakhmir Singh & Manjit Kaur
    Publication: S Chand Publications
    Content: Focuses on conceptual clarity, step-by-step problem-solving, and a variety of practice questions.

16. Concise Mathematics for Class 9
    Author: Selina Publishers
    Publication: Selina Publications
    Content: Covers ICSE syllabus with structured theory, practice problems, and revision tests.

17. ICSE Understanding Mathematics Class 9
    Author: ML Aggarwal
    Publication: Avichal Publishing Company
    Content: Includes topic-wise explanations, sample exercises, and objective questions for ICSE students.

18. Success Package Mathematics for Class 9
    Author: Disha Experts
    Publication: Disha Publications
    Content: Covers NCERT and CBSE syllabus with mock tests, quick revision notes, and practice exercises.

19. Foundation Mathematics for Class 9
    Author: H K Dass
    Publication: CBS Publishers
    Content: Includes detailed concept explanations, solved examples, and step-by-step answers for fundamental learning.

20. CBSE Mathematics Solved Question Bank for Class 9
    Author: Oswaal Experts
    Publication: Oswaal Books
    Content: Features previous year papers, case-study-based questions, and detailed solutions for exam preparation.

9th Class Maths Question Paper 2018 to 2019 – Practice & Preparation Guide

Mathematics is one of the most important subjects for Class 9 students. Scoring well in maths requires a strong understanding of concepts, formulas, and problem-solving techniques. One of the best ways to prepare is by solving previous years’ question papers. The 9th Class Maths Question Paper 2018 to 2019 provides a valuable resource for students to practice different types of problems and improve their exam performance.

Why Solve Previous Year Question Papers?

Practicing old question papers helps students in multiple ways. It allows them to understand the exam pattern, marking scheme, and types of questions asked. By solving these papers, students can also analyze their weak areas and focus on improving them.

Additionally, time management is a crucial factor during exams. Regular practice with past papers enhances speed and accuracy, ensuring students complete their exams within the given time.

Exam Pattern and Important Topics

The Class 9 maths exam generally follows a structured format. The question paper includes:

• Objective Questions: Multiple-choice, fill in the blanks, or one-word answers.
• Short Answer Questions: Requires brief solutions with correct steps.
• Long Answer Questions: Detailed solutions with proper explanations.
• Higher Order Thinking Skills (HOTS): Conceptual and application-based problems.

Some of the key topics covered in the 2018-2019 question papers include:

1. Number Systems: Rational and irrational numbers, real number properties.
2. Polynomials: Factorization, zeros of polynomials, algebraic identities.
3. Linear Equations in Two Variables: Graphical and algebraic solutions.
4. Coordinate Geometry: Distance formula, midpoint formula, plotting points.
5. Geometry: Triangles, circles, quadrilaterals, construction problems.
6. Trigonometry: Trigonometric ratios, values, and applications.
7. Mensuration: Surface area and volume of 3D shapes.
8. Statistics and Probability: Mean, median, mode, probability of simple events.

How to Use the 2018-2019 Maths Question Papers?

1. Solve in Exam-Like Conditions
   Set a timer and attempt the paper as if you are in the real exam. Avoid distractions and stick to the time limit to build confidence.

2. Analyze Your Performance
   Check your answers carefully. Identify mistakes and weak areas. Revise those topics to strengthen your concepts.

3. Improve Speed & Accuracy
   Regular practice reduces calculation mistakes and improves problem-solving speed. Try solving the same paper multiple times for better retention.

4. Focus on Important Questions
   Some questions are frequently repeated in exams. Identifying these can help in effective revision and prioritizing key topics.

5. Refer to NCERT & Other Standard Books
   Use NCERT textbooks along with additional reference books to understand complex problems and alternative solutions.

6. Practice Step-Wise Solutions
   Marks are awarded for each step in the solution. Always write clear and complete steps to ensure maximum scoring.

7. Work on Time Management
   Allocate time to different sections of the question paper. This ensures you attempt all questions without leaving anything unanswered.

Using the 9th Class Maths Question Paper 2018 to 2019 as a study tool helps students gain confidence, improve accuracy, and prepare effectively for exams. With regular practice, students can boost their scores and build a strong foundation in mathematics.

FAQ for 9th Class Maths Question Paper 2018 to 2019

Q1. Where can I find the 9th class maths question paper 2018 to 2019?
You can find these papers in exam preparation books, school libraries, or educational websites that provide previous year question papers.

Q2. What type of questions are included in the 9th class maths exam?
The exam includes objective questions, short and long answer questions, HOTS (Higher Order Thinking Skills) problems, and application-based questions.

Q3. How do previous year question papers help in preparation?
They help students understand the exam pattern, practice different types of problems, improve time management, and identify important topics.

Q4. Which topics are important in the 2018-2019 question papers?
Key topics include number systems, algebra, coordinate geometry, trigonometry, mensuration, and statistics.

Q5. How should I solve the previous year’s question paper?
Attempt it in a timed environment, check answers, analyze mistakes, revise weak areas, and practice multiple times for accuracy and speed.

Q6. Are NCERT books enough for Class 9 Maths preparation?
Yes, NCERT books are essential, but additional reference books like RD Sharma or RS Aggarwal can help with extra practice.

Q7. How can I improve my speed in solving maths problems?
Regular practice, time-bound tests, mental math techniques, and step-wise solutions can improve speed and accuracy.

Q8. Is it necessary to write step-wise solutions in the exam?
Yes, marks are awarded for steps in the solution. Writing clear steps ensures maximum scoring and reduces the risk of losing marks.

Q9. How many past years’ papers should I solve before exams?
Solving at least 5 to 10 previous years’ papers is recommended for better exam preparation.

Q10. Can I use a calculator in the Class 9 maths exam?
No, calculators are not allowed in the Class 9 board or school exams. Practice mental calculations and step-wise solutions.