ICSE Class 9 Maths Important Questions

ICSE class 9 is a significant period in a student’s life as class 9 is where the base level preparations for class 10 begin. Hence, the subject specialists at BYJU’S prepare ICSE Class 9 Maths important questions based on the latest syllabus of Class 9 maths. The ICSE class 9 Important Questions adorn the students with a brief insight regarding the question pattern, essential topics, important and sure shot question type etc. By following ICSE Class 9 Maths important questions, students can evaluate their level of understanding and knowledge of the subject, in turn helping them to augment their self-confidence.

Download ICSE Class 9 Maths Important Questions PDF

The Important Questions of ICSE Class 9 Maths are given below:

  1. Rationalise the denominator:
    ICSE Class 9 Maths Important Questions-1
  2. Two circles touch externally. The sum of their areas is 130πsq. cm and the distance between their centres is 14 cm. Find the radii of the circles.
  3. A car manufacturing company increases the production of a particular type of car in 2 years from 2,16,000 to 3,11,040. Find the annual rate of growth of production.
  4. In the following figure, ABCD is a rhombus and DCFE is a square.

    ICSE Class 9 Maths Important Questions-4

    If ∠ABC = 56°, find

    (i) ∠DAE (ii) ∠FEA (iii) ∠EAC (iv) ∠AEC

  5. Solve using cross-multiplication:
    1. 4x + 3y = 17
    2. 3x – 4y + 6 = 0
  6. If 2 sin θ – 2 = 0 and 0° ≤ θ ≤ 90°, find the value of θ.
  7. AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of AB and AC from the centre, then prove that
    ICSE Class 9 Maths Important Questions-7
  8. Find the point on the x-axis which is equidistant from the points A(−2, 5) and B(2,−3)
  9. Construct a regular hexagon of side 2.5 cm.
  10. If x + y – z = 4 and x2 + y2 + z2 = 30, then find the value of xy – yz – zx.
  11. Use the adjoining figure to find,
    ICSE Class 9 Maths Important Questions-11
    1. BC, if AB = 8.6 cm
    2. GE, if FE = 6 cm
    3. AE, if BD = 3.6 cm
    4. DF, if CG = 15 cm
  12. Prove that the perimeter of a triangle is greater than the sum of its three medians.
  13. If the mean of five observations x, x + 2, x + 4, x + 6, x + 8 is 13, find the value of x, and hence, find the mean of the last three observations.
  14. If the mean of five observations x, x + 2, x + 4, x + 6, x + 8 is 13, find the value of x, and hence, find the mean of the last three observations.
  15. A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (Given 1 m3 = 1000 litres)
  16. If P is the centre of the circle with radius 6.7 cm, d(P, Q) = 7.6 cm, d(P, R) = 5.7 cm, find the positions of points R and Q.
  17. Solve the following simultaneous equations using the graphical method: x + y = 8; x – y = 2
  18. The line segments joining the mid-points M and N of parallel sides AB and DC, respectively, of a trapezium ABCD is perpendicular to both sides AB and DC. Prove that AD = BC.
  19. In the given figure, AB ∥ DE and BD ∥ FG such that ∠ABC = 50° and ∠FGH = 120°. Find the values of x and y.
    ICSE Class 9 Maths Important Questions-19
  20. Each equal angle of an isosceles triangle is less than the third angle by 15 degrees. Find the angles.

Practise This Question

If axn is a zero degree polynomial in x, what can be said about a?