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Class 9 / Maths (75 questions)
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by GIANSH GUPTA KHUNDKER
· Class 9
A box contains 5 red and 7 blue marbles. If two marbles are drawn at random one after the other without replacement, what is the probability that both are red?
Maths
Probability
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by GIANSH GUPTA KHUNDKER
· Class 9
In quadrilateral ABCD, the bisectors of ∠A and ∠B meet at a point P inside the quadrilateral. If ∠C = 110° and ∠D = 70°, what is the measure of ∠APB?
Maths
Quadrilaterals
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by GIANSH GUPTA KHUNDKER
· Class 9
A right circular cylinder has a radius of r units and a height equal to its diameter. A sphere fits tightly inside the cylinder, touching the top, bottom and curved surface. What is the ratio of the volume of the cylinder to the volume of the sphere?
Maths
Quadrilaterals
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by GIANSH GUPTA KHUNDKER
· Class 9
Equilateral triangle T has a perimeter that is one-third the perimeter of equilateral triangle S. If one side of triangle S is 9 inches long, what is the length, in inches, of one side of triangle T?
Maths
Constructions
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by GIANSH GUPTA KHUNDKER
· Class 9
Given the displacement equation d = v₀t + (1/2)at², which of the following correctly expresses the acceleration a in terms of displacement d, time t and initial speed v₀?
Maths
Constructions
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by GIANSH GUPTA KHUNDKER
· Class 9
If 4x - 7 = 2x + 11, what is the value of x?
Maths
Other
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by GIANSH GUPTA KHUNDKER
· Class 9
Point Q lies on the straight line segment PR. If an adjacent angle on the line measures 80° and the remaining angles on the line total 10x, what is the value of 4x?
Maths
Coordinate Geometry
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by GIANSH GUPTA KHUNDKER
· Class 9
In a line segment, the total length TS = 28. Segment TR = 3m + 4 and segment RS = 2m - 1. What is the length of segment RS?
Maths
Linear Equations in Two Variables
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by GIANSH GUPTA KHUNDKER
· Class 9
If each side of a triangle is doubled, then the area of the new triangle becomes how many times the original area?
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
An isosceles triangle has equal sides of length 5 cm each and a base of 8 cm. Using Heron's formula, its area is:
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 36 cm. What is its area?
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
Find the area of a triangle whose sides measure 13 cm, 14 cm, and 15 cm.
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
The semi-perimeter (s) of a triangle having sides a, b and c is given by the formula:
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
If every side of a triangle is doubled, then the area of the new triangle increases by what percentage?
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
The lengths of the sides of a triangle are 57 cm, 95 cm, and 76 cm. What is the length of the shortest altitude of this triangle?
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. What is the area of the triangle?
Maths
Heron�s Formula
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by GIANSH GUPTA KHUNDKER
· Class 9
A point P(x, y) moves in a coordinate plane such that the sum of the squares of its distances from both coordinate axes is always equal to 16. What geometric shape is represented by the path (locus) of P?
Maths
Coordinate Geometry
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by GIANSH GUPTA KHUNDKER
· Class 9
If the centroid of the triangle formed by the points (p, q), (q, r), and (r, p) is located at the origin (0, 0), what is the value of p³ + q³ + r³?
Maths
Coordinate Geometry
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by GIANSH GUPTA KHUNDKER
· Class 9
If x + y + z = 6 and xy + yz + zx = 11, what is the value of (x - y)² + (y - z)² + (z - x)²?
Maths
Other
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by GIANSH GUPTA KHUNDKER
· Class 9
For what value of a does the linear equation (3a - 12)x + b + 7 = 0 have infinitely many solutions?
Maths
Linear Equations in Two Variables
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