Goa Board Class 10th Mathematics Syllabus 2024 PDF Download – GBSHSE has released the syllabus of Goa Board Class 10th Mathematics Syllabus 2024 along with the official notification on the official website – gbshse.info. The Goa Board Class 10th Mathematics 2024 Syllabus pdf comprises the subject-wise topics which will be asked in the class SSC Mathematics exam. Students of Goa State Board Class 10th Mathematics can download the syllabus PDF from this page.
GBSHSE Class SSC Mathematics Syllabus 2024-2025 PDF
Using the Goa Board Class 10th 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 10th Mathematics Exam 2024 accordingly. Along with the Goa Board Class 10th Mathematics 2024 syllabus, candidates can also check the official GBSHSE exam pattern and the previous year’s GBSHSE Class 10th Mathematics question papers.
Goa State Board Class 10th Mathematics Syllabus 2024 PDF Online
|
Name of the Board |
Goa Board |
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Name of the Grade |
SSC |
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Subjects |
Mathematics |
|
Year |
2024-2025 |
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Format |
PDF/DOC |
|
Provider |
|
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Official Website |
gbshse.info |
How To Download Goa State Board Class 10th Mathematics Syllabus 2024 PDF Online?
Follow the steps as under to download Goa Board Class SSC Mathematics Syllabus 2024 PDF:
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Goa Board Class 10th Mathematics Syllabus 2024-2025 PDF
Students of download the Goa Board Class 10th Mathematics Syllabus 2024-2025 PDF online using the links provided below:
| Unit Name |
|---|
| Real Numbers Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of the irrationality of Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals. |
| Polynomials Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithms for polynomials with real coefficients. |
| Pair of Linear Equations in Two Variables Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations. |
| Quadratic Equations Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formulas. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated. |
| Arithmetic Progressions Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems. (Applications based on the sum to n terms of an A.P. are excluded) |
| Triangles Definitions, examples, counterexamples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar. 4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other. 7. (Motivate) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 9. (Motivate) In a triangle, if the square on one side is equal to the sum of the squares on the other two sides, the angle opposite to the first side is a right angle. |
| Coordinate Geometry Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). |
| Introduction to Trigonometry Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined). Values of the trigonometric ratios of 30, 45 and 60. Relationships between the ratios. TRIGONOMETRIC IDENTITIES Proof and applications of the identity between sin and cos. Only simple identities to be given. |
| Circles Through examples, arrive at a definition of a circle and related concepts-radius, 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) Equal chords of a circle (or of congruent circles) are equidistant from the centre (or their respective centres) and conversely. 4. (Motivate) 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. 5. (Motivate) Angles in the same segment of a circle are equal. 6. (Motivate) The sum of either pair of the opposite angles of a cyclic quadrilateral is 180° and 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. |
| Areas Related to Circles Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to the central angle of 60° and 90° only. Plane figures involving triangles, simple quadrilaterals and circles should be taken). |
| Statistics Mean, median and mode of grouped data (bimodal situation to be avoided). Mean by Direct Method and Assumed Mean Method only. |
| Probability The classical definition of probability. Simple problems on finding the probability of an event. |
| Total |
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Key Benefits Of Solving Goa Board Class 10th Mathematics Syllabus 2024-2025 PDF
There are several benefits of Goa Board Class 10th Mathematics Syllabus 2024 PDF
- It enhances the speed of solving questions and time management skills.
- It helps candidates to gain insight into the GBSHSE Class 10th Mathematics Syllabus 2024 PDF.
- Understand the type of questions and marking scheme.
- Helps in analyzing the preparation level.
- Gives an idea about the real exam scenario.
- Enhances exam temperament and boosts confidence.
- Gives an idea about the topics important for examination point of view.
- Goa State Board Class 10th Mathematics Syllabus 2024 PDF helps in understanding the Exam pattern and its level of difficulty.
FAQ about GBSHSE Class 10th Mathematics Syllabus 2024 PDF
What is the Goa Board Class 10th Mathematics Syllabus 2024-2025??
The Goa Board Class 10th Mathematics Syllabus 2024 PDF comprises the subject-wise topics which will be asked in the exam.
Is it necessary to go through the GBSHSE Class 10th Mathematics Syllabus 2023?
Candidates, if they want to score higher marks and stay ahead in the competition, should not ignore the syllabus. They should read the syllabus thoroughly. This will help in developing a strong preparation strategy and candidates will also gain valuable insights into the exam pattern, important chapters and topics, weightage of marks, objective of the entire course, etc.