Class IX Math - Polynomials

Polynomial Questions

1. What is the degree of a polynomial 3x² + 5x - 2?

2

2. Which term is the constant in 4x³ - 2x + 7?

7

3. What is the coefficient of x² in 2x³ + 3x² - x + 1?

3

4. Is x² - 1 a polynomial?

Yes

Match the Pair MCQs

5. Match the following: (a) x² + 1 (i) Linear (b) 2x + 3 (ii) Quadratic)

a - ii, b - i

6. Match the following: (a) 5x³ (i) Monomial (b) x² + 3x + 2 (ii) Trinomial)

a - i, b - ii

7. Match the following: (a) Degree 1 (i) Cubic (b) Degree 3 (ii) Linear)

a - ii, b - i

One-Word Answer Questions

8. What is the degree of 7?

0

9. What type of polynomial is 2x?

Linear

10. How many terms are in x² + 3x - 5?

3

Diagram-Based Questions

11. Draw the graph of a quadratic polynomial (e.g., x²).

U-shaped parabola

12. Sketch the graph of a linear polynomial (e.g., 2x + 1).

Straight line

Case Study Questions

13. Riya planted a garden and noted the area of her rectangular plot as x² + 5x + 6. What is the degree of this polynomial?

2

14. Amit measured the height of a ball thrown up as 3t² - 5t + 2. What type of polynomial is this?

Quadratic

15. During a math project, Priya found that the profit function was 4x - 3. What is its degree?

1

16. Karan calculated the volume of a cube as x³. How many terms does it have?

1

17. A shopkeeper’s revenue was given by 2x² + x - 1. How many terms are in this polynomial?

3

18. Leela graphed y = x² - 4 and noticed a U-shape. What is the degree?

2

19. Rohan found the perimeter of a square as 4x. What is its degree?

1

20. A scientist modeled growth as 5x³ - 2x² + x. What is the degree?

3

Class V EVS - Snake Charmer, Tasting to Digesting, Super Senses

Snake Charmer Questions

1. What instrument do snake charmers use to attract snakes?

Pungi

2. Are snakes deaf to the music played by charmers?

Yes

3. What type of snakes do charmers usually handle?

Cobra

4. Why do snakes move to the pungi sound?

Follow movement

Tasting to Digesting Questions

5. Where does digestion start in the human body?

Mouth

6. What helps to chew food?

Teeth

7. Where is food stored after swallowing?

Stomach

8. What carries food from the mouth to the stomach?

Oesophagus

Super Senses Questions

9. Which animal uses its nose to smell danger?

Dog

10. What sense helps bats fly in the dark?

Echolocation

11. Which bird has a sharp sense of sight?

Eagle

12. How do snakes sense their prey?

Tongue

Match the Pair MCQs

13. Match the following: (a) Pungi (i) Digestion starts (b) Mouth (ii) Snake charmer tool)

a - ii, b - i

14. Match the following: (a) Eagle (i) Smell (b) Dog (ii) Sight)

a - ii, b - i

15. Match the following: (a) Stomach (i) Chews food (b) Teeth (ii) Stores food)

a - ii, b - i

One-Word Answer Questions

16. What is the food pipe called?

Oesophagus

17. Which sense helps a bat?

Echolocation

18. What do cobras lack?

Ears

Diagram-Based Questions

19. Draw the human digestive system.

Mouth to stomach to intestines.

20. Draw a snake charmer with a pungi.

Man playing pungi, cobra rising.

Case Study Questions

21. Ravi watched a snake charmer play the pungi, but the snake didn’t hear the music. What did the snake respond to?

Movement of the pungi

22. Anu ate an apple and felt it move down her throat. Where did it go next?

Stomach

23. A dog sniffed and found a hidden bone. What sense helped it?

Smell

Class VI CBSE Science Questions

Magnetic Effect Questions

1. What happens when a north pole is brought near another north pole?

They repel each other.

2. Which material can be attracted by a magnet?

Iron

3. What is the shape of a magnetic field around a bar magnet?

Curved lines

4. Where is the magnetic force strongest in a bar magnet?

At the poles

Separation Methods Questions

5. Which method is used to separate stones from rice?

Handpicking

6. What method separates salt from water?

Evaporation

7. Which method is used to separate husk from grains?

Winnowing

8. How can sand be separated from water?

Filtration

Match the Pair MCQs

9. Match the following: (a) Magnet (i) Separates husk (b) Winnowing (ii) Attracts iron)

a - ii, b - i

10. Match the following: (a) Evaporation (i) Removes stones (b) Handpicking (ii) Separates salt)

a - ii, b - i

11. Match the following: (a) North Pole (i) Repels (b) South Pole (ii) Attracts opposite)

a - i, b - ii

One-Word Answer Questions

12. What is a natural magnet called?

Lodestone

13. Which pole points north when a magnet is suspended?

North

14. What is the process of settling solids called?

Sedimentation

Diagram-Based Questions

15. Draw the magnetic field lines around a bar magnet.

Field lines emerge from the north pole and enter the south pole.

16. Draw a filtration setup to separate sand from water.

Sand is trapped by filter paper, and water passes through.

Case Study Questions

17. Riya observed that iron nails stick to a bar magnet but not to a wooden stick. She also noticed that when she mixed sand and iron filings, a magnet could separate them. What can she infer about magnets?

Magnets attract iron and can be used to separate iron from mixtures.

18. Amit found that pouring water into a mixture of mud and water caused the mud to settle at the bottom. He then poured the clear water into another container. What separation methods did he use?

Sedimentation and decantation.

19. During a science fair, Priya used a sieve to separate pebbles from flour. Later, she used winnowing to remove husk from grains. What did she learn about separation methods?

Different methods are used based on the size and weight of materials.

20. Karan noticed that salt dissolved in water did not separate with a filter. He heated the mixture, and salt remained. What method did he use?

Evaporation

Methods of separation activity

 

Class 6 Methods of separation activity 

You are provided with a mixture of iron nails, sand, black pepper, stones ...

To separate a mixture of iron nails, sand, black pepper, stones, common salt, and water, follow these steps: 

Magnetic Separation: Use a magnet to remove the iron nails, as they are magnetic.

Sieving: Use a sieve or strainer to separate the larger stones and potentially some of the black pepper from the remaining mixture, as these components are significantly larger than sand or salt crystals.

Dissolution and Filtration: Add water to the remaining mixture of sand, black pepper, and common salt. Stir well to dissolve the common salt, as it is soluble in water, while sand and black pepper are not. Filter the mixture using a filter paper or cloth to separate the insoluble sand and black pepper (residue) from the saltwater solution (filtrate).

Evaporation: Gently heat the saltwater solution obtained from filtration. The water will evaporate, leaving the common salt behind as a solid residue. To recover the water, distillation can be used instead of simple evaporation.

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General Instructions

• Duration: 2 hours
• Total Marks: 40
• All questions are compulsory.
• Section A: 6 MCQs (1 mark each)
• Section B: 4 Short Answer-I (2 marks each)
• Section C: 3 Short Answer-II (3 marks each)
• Section D: 3 Long Answer (4 marks each)
• Use graph paper for Coordinate Geometry questions.
• Show calculations clearly.
• Calculators are not permitted.

CBSE Class 9 Mathematics Question Paper

Chapters: Number Systems, Coordinate Geometry, Polynomials

Session: 2025-26 | Max Marks: 40 | Time: 2 Hours

Section A: Multiple Choice Questions (6 × 1 = 6 Marks)

1. Which of the following is a rational number?

a) √3 b) 0.25 c) π d) √7

2. The point (4, -2) lies in which quadrant?

a) First b) Second c) Third d) Fourth

3. The degree of the polynomial 5x⁴ – 2x² + 3 is:

a) 2 b) 3 c) 4 d) 5

4. The decimal expansion of √2 is:

a) Terminating b) Non-terminating repeating c) Non-terminating non-repeating d) None of these

5. The coordinates of a point on the x-axis are:

a) (x, 0) b) (0, y) c) (x, y) d) (0, 0)

6. The zero of the polynomial p(x) = 3x – 6 is:

a) 2 b) -2 c) 3 d) -3

Section B: Short Answer-I (4 × 2 = 8 Marks)

7. Find a rational and an irrational number between 1.5 and 1.6.

8. Plot points A(3, 2) and B(-2, -1) on a graph and identify their quadrants.

9. Simplify: (x + 4)(x – 3) using an identity.

10. Express 0.454545... as a fraction in its simplest form.

Section C: Short Answer-II (3 × 3 = 9 Marks)

11. Simplify: 3/(√7 – √3) by rationalizing the denominator.

12. Plot points P(2, 4), Q(5, 4), R(5, 1), and S(2, 1) on a graph. What shape is formed?

13. Factorize: x² – 5x + 6.

Section D: Long Answer (3 × 4 = 12 Marks)

14. Divide the polynomial 3x³ – x² + 2x – 5 by (x – 2) using long division and find the remainder.

15. Verify if points A(0, 0), B(4, 0), C(4, 3), and D(0, 3) form a rectangle by calculating distances.

16. Prove that √5 is irrational.

Best Wishes! | CBSE Class 9 Maths Exam 2025-26

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Class IX Mathematics Quiz

Polynomials | Coordinate Geometry | Number System

Test your knowledge across key chapters. Choose the correct answer for each question.

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1. Which of the following is an irrational number?

a) $\sqrt{100}$ b) $0.333...$ c) $\sqrt{8}$ d) $\frac{22}{7}$

2. What is the degree of the polynomial $5x^3 - 2x^2 + 7x - \sqrt{5}$?

a) 1 b) 2 c) 3 d) 4

3. The point $(-5, -1)$ lies in which quadrant?

a) First Quadrant b) Second Quadrant c) Third Quadrant d) Fourth Quadrant

4. The rationalizing factor of $\frac{1}{\sqrt{7} - \sqrt{6}}$ is:

a) $\sqrt{7} - \sqrt{6}$ b) $\sqrt{7} + \sqrt{6}$ c) $\sqrt{42}$ d) $\frac{1}{\sqrt{7} + \sqrt{6}}$

5. If $p(x) = x^2 - 3x + 2$, then $p(0)$ is:

a) 0 b) 1 c) 2 d) -2

6. The abscissa of the point $(0, -9)$ is:

a) 0 b) -9 c) $(0, -9)$ d) 9

7. A rational number between $\frac{1}{2}$ and $\frac{3}{4}$ is:

a) $\frac{2}{3}$ b) $\frac{1}{4}$ c) $\frac{5}{8}$ d) $\frac{4}{5}$

8. The zero of the polynomial $2x + 5$ is:

a) $\frac{5}{2}$ b) $-\frac{5}{2}$ c) $\frac{2}{5}$ d) $-\frac{2}{5}$

9. A point whose ordinate is 4 and which lies on the Y-axis is:

a) $(4, 0)$ b) $(0, 4)$ c) $(4, 4)$ d) $(-4, 0)$

10. The value of $(256)^{0.16} \times (256)^{0.09}$ is:

a) 4 b) 16 c) 64 d) 256.25