Goa Board Class 9th Mathematics Syllabus 2024 PDF Download – GBSHSE has released the syllabus of Goa Board Class 9th Mathematics Syllabus 2024 along with the official notification on the official website – gbshse.info. The Goa Board Class 9th Mathematics 2024 Syllabus pdf comprises the subjectwise topics which will be asked in the class 9 Mathematics exam. Students of Goa State Board Class 9th Mathematics can download the syllabus PDF from this page.
GBSHSE Class 9 Mathematics Syllabus 20242025 PDF
Using the Goa Board Class 9th Mathematics Syllabus 2024 PDF, students can prepare their study schedule and exam preparation strategy. As the Goa Board exam date has been released, candidates can plan their schedule according to it, therefore, they can prepare their syllabus of Goa Board Class 9th Mathematics Exam 2024 accordingly. Along with the Goa Board Class 9th Mathematics 2024 syllabus, candidates can also check the official GBSHSE exam pattern and the previous year’s GBSHSE Class 9th Mathematics question papers.
Goa State Board Class 9th Mathematics Syllabus 2024 PDF Online
Name of the Board 
Goa Board 
Name of the Grade 
9 
Subjects 
Mathematics 
Year 
20242025 
Format 
PDF/DOC 
Provider 

Official Website 
gbshse.info 
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Goa Board Class 9th Mathematics Syllabus 20242025 PDF
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First Terminal Examination:
Chapter Name and Topics 

Number System

Lines and Angles
1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse. 2. (Prove) If two lines intersect, vertically opposite angles are equal. 3. (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines. 4. (Motivate) Lines that are parallel to a given line are parallel. 5. (Prove) The sum of the angles of a triangle is 180O . 6. (Motivate) If a side of a triangle is produced, the exterior angle formed is equal to the sum of the two interior opposite angles. 
Triangle
1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence). 2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence). 3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence). 4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence) 5. (Prove) The angles opposite to equal sides of a triangle are equal. 6. (Motivate) The sides opposite to equal angles of a triangle are equal. 7. (Motivate) Triangle inequalities and relation between ‘angle and facing side’ inequalities in triangles. 
Polynomial

Quadrilateral 1. (Prove) The diagonal divides a parallelogram into two congruent triangles. 2. (Motivate) In a parallelogram opposite sides are equal, and conversely. 3. (Motivate) In a parallelogram opposite angles are equal, and conversely. 4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides are parallel and equal. 5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely. 6. (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side and in half of it and (motivates) its converse. 
Constructions 1. Construction of bisectors of line segments and angles of measure 60, 90, 45 etc., equilateral triangles. 2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle. 3. Construction of a triangle of given perimeter and base angles 
Second Terminal Examination:
Chapter Name and Topics 

Linear Equations in Two Variables

Areas of Parallelogram and Triangles 1. (Prove) Parallelograms on the same base and between the same parallels have equal areas. 2. (Motivate) Triangles on the same base (or equal bases) and between the same parallels are equal in area. 
Circles Through examples, arrive at the definition of a circle and related conceptsradius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle. 1. (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its converse. 2. (Motivate) The perpendicular from the centre of a circle to a chord bisects the chord and conversely, the line is drawn through the centre of a circle to bisect a chord is perpendicular to the chord. 3. (Motivate) There is one and only one circle passing through three given noncollinear points. 4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the centre (or their respective centres) and conversely. 5. (Prove) The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. 6. (Motivate) Angles in the same segment of a circle are equal. 7. (Motivate) If a line segment joining two points subtends an equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle. 8. (Motivate) The sum of either pair of the opposite angles of a cyclic quadrilateral is 180° and its converse. 
Surface Areas and Volumes
Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones. 
Statistics
Introduction to Statistics: Collection of data, presentation of data — tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons. Mean, median and mode of ungrouped data 
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