Class 9 Maths NCERT Important Questions

Students, are you in class 9? Do you need important mathematics questions for studying? Here is the article given below with important questions. Practice all the problems and solve them so u may get good marks in your final exams .

About question paper 

The total question papers contain 80 marks. In that, the paper is divided in four sections A,B,C, and D. Section A contains 1 marks questions 1 to 6. Section B contains  2 marks question 6 to 12 .Section C contains 3 marks questions 13 to 23. Sections D contains 4 marks questions the total question are 30

Important question for 9 class maths.

1 marks question: 

These are asked from the middle of the chapter. It is not given as an important question because of what the students should learn in chapter only.

 2 marks important questions from all chapters

  1. Express the rational number in the form of 0.45¯ pq, where p and q are the natural numbers.
  2. Find the remainder when dividing polynomials 2×4 + x3 + 4×2−3x – 2 by x – 3 (without applying long division).
  3. (x-1) Find the value of k if the factor of 4×3 + 3×2−4x + k.
  4. What is the quadrant or axis of each given point? (i) (-2,4)(ii) (-8,0)

    (iii) (1, -7)

    (iv) (-7, -2)

  5. If two points like AC and BC have point C between A and B, prove that AC = 1/2 AB.
  6. The opposite angles of a parallelogram are (63–3x) and (4x – 7) If. Find all the angles of the parallelogram.
  7. Construct a triangle of 6 cm, 4 cm and 2.8 cm length on three sides.
  8. Indicate 5- in the number line.
  9. The points scored by the Kabaddi team in consecutive matches are as follows: 17, 27, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 Find the median and mode of the data.
  10. Find the value of ‘a’ such that x = 1  and y = 1 is a solution of the linear equation 9ax + 12ay = 63
  11. Evaluate (104)3 using suitable identity.
  12. If the angles of a triangle are in the ratio 2 : 3 : 4, then find the angles of the triangle.

In the given figure, if ∠POR and ∠QOR form pair and a–b=80∘, then find the value of a and b.

3 marks important questions from all chapters: 

  1. The sides of a triangle are in the ratio 12:17:25 and its circumference is 540 cm. Find the area of the triangle.
  2. Factor: (i) 3×3 + 3 – √x – 2
  3. The sides of a triangle are in the ratio 12:17:25 and its circumference is 540 cm. Find the area of the triangle.
  4. Factor: (i) 3×3 + 3 – √x – 2 (ii) 2 – √x2 + 3x + 2
  5. If p2 + 4q2 + 9r2 = 2pq + 6qr + 3pr, prove that p3 + 8q3 + 27r3 = 18pqr.
  6. Express 0.3¯ as a rational number in the form of pq, where p and q are integers and q ≠ 0.
  7. Find the product with the suitable identity (x–12)(x+12)(x2+1×2)(x4+1×4).
  8. Prove that the opposite angles are equal when two lines meet each other vertically.
  9. Find the area of the triangular garden, which is 120 m, 80 m, and 50 m
  10. Find the other factors If (3x-2) is a factor of 3×3+x2–20x+12.
  11. Simplify 6√22√+3√+2√66√+3√–3√86√+2√
  12. 2 to 101 marked cards are placed in a box and completely merged. A card will be drawn from this box. Find the number probability on the card- (ii) Number without exact square (iii) A total of 9 digits.
  13. Largest right circular cone that can be mounted on a cube with an edge of 18-21 cm then find the volume? Find the volume of the
  14. If the average of the following data is 20.2, find the value of p.

4 marks important questions from all chapters 

  1. Water flows in a 150 m × 100 m tank at the base through a pipe with a cross-section 2 dm × 1.5 dm at a speed of 15 km per hour. At what point, is the water 3 meters deep?
  2. The diagonals AC and BD of quadrilateral ABCD converge at O (AOD) = ar (BOC). Prove that ABCD is a trapezium.
  3. x = 1a√ – b√ shows (a – b) 2×2 + (a – b) x– (a + b) = a −− √ + b√ + 2a −− √b√. Or if a + b + c = 0, then a4 + b4 + c4 = 2 (b2c2 + c2a2 + a2b2)
  4. ABCD  cyclic quadrilateral whose diagonals AC and BD intersect at P. If AB = DC, then prove that (i) ΔPAB≅ΔPDC, (ii) PA = PD and PC = PB, (iii) AD ∥ BC
  5. Find the measure of angles in a ΔPQR, formed by joining the mid-points of the sides of the triangle.
  6. Construct a triangle in which BC = 8 cm , ∠B=30∘ and AB – AC = 3.5 cm.
  7. A spherical cannon ball with a diameter of 18- 28 cm is melted in a right circular conical mold, the base of which is 35 cm. Find the height of the cone, adjust it to a place of decimal.
  8. In a Triangle ABC, median AD is X such that AD = DX. Prove that ABXC is a parallelogram.
  9. The force exerted on the cart is directly proportional to the acceleration produced in the body. Explain the statement as a linear equation of two variables and draw the same graph taking a constant mass equal to 6 kg. Also, find the power required when the acceleration produced is equal

(i) 5 m / sec2

(ii) 6 m / sec 2

(iii) 15 m / sec 2


solve this all-important question and get good marks in your final exam. For more important questions ask your class teacher. Complete all the important questions and follow the textbook question so that you can get good knowledge. And go through the same sample question papers.

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