ICSE Class 9 Maths by Pavan | Practice Test to Test Your Knowledge
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ICSE Class 9 Maths

ICSE Class 9 Maths

Comprehensive mock test covering Algebra, Geometry, and Statistics. Features both objective and subjective questions with step-by-step solutions.

2025-07-19
Pavan Pavan
ICSE Grade 9 Class 9 Mathematics

Duration

30 min

Questions

30

Marking

Negative

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Questions Preview

Which of the following is a case of triangle congruency?

A
SSS
B
AAS
C
SAS
D
All of the above

Which case of congruency is determined by two sides and the angle between them?

A
SSS
B
SAS
C
AAS
D
RHS

Which of the following is true for two triangles congruent by AAS?

A
Angle-Angle-Side
B
Side-Side-Side
C
Side-Angle-Side
D
Angle-Angle-Angle

What does the Converse of the property 'Angles opposite equal sides are equal' state?

A
If two angles of a triangle are equal, then the sides opposite them are equal.
B
If two sides of a triangle are unequal, the angle opposite the larger side is larger.
C
If two sides of a triangle are equal, then the angles opposite them are equal.
D
If a triangle has two equal sides, the sum of the angles is 180 degrees.

If two sides of a triangle are unequal, then the greater angle is opposite to which side?

A
The smaller side
B
The greater side
C
The base of the triangle
D
The perpendicular height

Which property of a triangle states that the sum of any two sides of a triangle is greater than the third side?

A
Pythagoras Theorem
B
Angle-Side Rule
C
Triangle Inequality Theorem
D
Congruency Theorem

What is the shortest straight line that can be drawn from a point outside a given line?

A
The line parallel to the given line
B
The line joining the point to the midpoint of the line
C
The perpendicular drawn to the line
D
The line joining the point to the end of the given line

What does the Mid-Point Theorem state?

A
The line joining the midpoints of two sides of a triangle is parallel to the third side.
B
The midpoint of any line in a triangle divides it into two equal halves.
C
The mid-point of the diagonal of a rectangle divides it into two equal parts.
D
The median of a triangle divides it into two equal areas.

What is the converse of the Mid-Point Theorem?

A
If a line joining the midpoints of two sides of a triangle is parallel to the third side, then the line is half the length of the third side.
B
If the midpoint of a line is given, the line will be divided into two equal parts.
C
If a line joins the midpoints of two sides of a triangle, the line divides the triangle into two equal areas.
D
If a point divides a side of a triangle into two equal parts, then the point is the midpoint.

Which of the following is a statement of the Pythagoras Theorem?

A
The square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.
B
The sum of all angles in a triangle is 180 degrees.
C
In a right triangle, the sides opposite the equal angles are also equal.
D
The perimeter of a triangle is the sum of its three sides.

Which of the following is a valid application of the Pythagoras Theorem?

A
Finding the area of a right triangle
B
Finding the length of the diagonal in a rectangle
C
Finding the sum of angles in a triangle
D
Finding the perimeter of a triangle

Which of the following is the property of a parallelogram?

A
Opposite sides are equal and parallel.
B
All sides are equal.
C
The diagonals are perpendicular.
D
Adjacent sides are equal.

Which of the following is a theorem used to prove properties of parallelograms?

A
Theorem of Alternate Angles
B
Theorem of Perpendicular Bisectors
C
Opposite Sides Theorem
D
Midpoint Theorem

Which of the following statements about a rectangle is true?

A
A rectangle is a type of parallelogram where all angles are right angles.
B
A rectangle has all sides equal.
C
A rectangle has opposite angles equal.
D
A rectangle has no parallel sides.

Which of the following is the formula for the area of a parallelogram?

A
Area = base × height
B
Area = side × side
C
Area = 2 × base × height
D
Area = ½ × base × height

What is the key characteristic of a rhombus?

A
Opposite sides are equal and parallel, and all sides are of equal length.
B
All angles are right angles.
C
Opposite angles are equal.
D
It has all sides of different lengths.

In a circle, what does the property of the chord tell us?

A
A chord divides the circle into two equal parts.
B
The length of the chord is always constant.
C
All chords of a circle are parallel.
D
The perpendicular from the center of the circle to a chord bisects the chord.

Which of the following is the relationship between an arc and its chord?

A
The length of the arc is always equal to the length of the chord.
B
The arc is always smaller than the chord.
C
The arc is longer than the chord unless the angle is 90 degrees.
D
The arc is always shorter than the chord.

What is the central angle of a circle?

A
The angle subtended by a chord at the center of the circle.
B
The angle formed by two tangents at the circle's point.
C
The angle between a chord and a tangent.
D
The angle between two radii of a circle.

In a circle, if two chords are equal, what is the relationship between the angles subtended by these chords?

A
The angles subtended by the chords are equal.
B
The angles subtended are unequal.
C
The angles are complementary.
D
The angles are supplementary.

Which of the following properties holds true for a tangent to a circle?

A
The tangent is perpendicular to the radius at the point of contact.
B
The tangent is parallel to the radius.
C
The tangent touches the circle at more than one point.
D
The tangent always intersects the circle.

In a circle, what is the relationship between the angle subtended by an arc at the center and the angle subtended at the circumference?

A
The central angle is twice the angle at the circumference.
B
The central angle is half the angle at the circumference.
C
The angles are equal.
D
The angles are complementary.

Which of the following is true about a cyclic quadrilateral?

A
The opposite angles of a cyclic quadrilateral are supplementary.
B
The sum of all four angles is 180 degrees.
C
The opposite sides of a cyclic quadrilateral are parallel.
D
The diagonals of a cyclic quadrilateral are perpendicular.

What is the property of a chord of a circle?

A
A chord is always shorter than the radius.
B
A chord divides the circle into two segments.
C
A chord always passes through the center of the circle.
D
A chord touches the circumference of the circle at only one point.

Which of the following is true for a tangent at a point of contact on a circle?

A
The tangent touches the circle at only one point.
B
The tangent cuts the circle into two equal parts.
C
The tangent passes through the center of the circle.
D
The tangent always intersects at more than one point.

What is the angle formed by a tangent to the circle and a radius at the point of contact?

A
90 degrees
B
45 degrees
C
60 degrees
D
180 degrees

What is the property of an arc in a circle?

A
An arc subtends an angle at the center of the circle.
B
An arc is always equal to the length of the circumference.
C
An arc never subtends any angle at the circumference.
D
An arc is equal to half the radius.

Which of the following is true for a circle and its radius?

A
The radius is always perpendicular to the tangent at the point of contact.
B
The radius is parallel to the tangent.
C
The radius is always the longest line in the circle.
D
The radius never intersects with the circumference.

What is the sum of the angles in a quadrilateral inscribed in a circle?

A
360 degrees
B
180 degrees
C
270 degrees
D
90 degrees

What is the angle subtended by a diameter of a circle at the circumference?

A
90 degrees
B
180 degrees
C
60 degrees
D
120 degrees