Edudel Syllabus 2025 Class 10 Maths

Annual Syllabus (2024-25)
Class – X
Mathematics (Subject Code: 041 & 241)
Course Structure

Units Unit Name Marks
I Number Systems 06
II Algebra 20
III Coordinate Geometry 06
IV Geometry 15
V Trigonometry 12
VI Mensuration 10
VII Statistics & Probability 11
Total 80
Internal Assessment 20
Grand Total 100

Chapter 1: Real Numbers
Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and
after illustrating and motivating through examples, Proofs of irrationality of √2, √3,√5.

Chapter 2: Polynomials
Zeroes of a polynomial. Relationship between zeroes and coefficients of quadratic
polynomials.

Chapter 3: 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. Solutions of a pair of linear equations in
two variables algebraically–by substitution, by elimination. Simple situational problems.

Chapter 6: Triangles
Definitions, examples, counter examples 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.

Chapter 7: Coordinate Geometry
Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula.
Section formula (internal division).

Chapter 8: Introduction to Trigonometry
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence
(well defined); motivate the ratios whichever are defined at 0°and 90°. Values of the
trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.
2 2
Proof and applications of the identity sin A + cos A = 1. Only simple identities to be
given.

Chapter 9: Some Applications of Trigonometry
Angle of Elevation, Angle of Depression, Simple problems on heights and distances.
Problems should not involve more than two right triangles. Angles of elevation /
depression should be only 30°, 45°, 60°.

Chapter 12: Area Related to Circles
Area of sectors and segments of a circle. Problems based on areas and perimeter/
circumference of the above said plane figures. (In calculating area of segment of a circle,
problems should be restricted to central angle of 60º, 90º and 120º only.)

Chapter 14: Statistics
Mean, median and mode of grouped data (bimodal situation to be avoided).

 The above content is to be completed for Mid Term Examination by 13th
September, 2024.
 Mental Maths & Maths Lab Activities.
 Revision of syllabus for Mid Term Examination.

Mid Term Examination – 2024

Chapter 4: 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 formula. Relationship
between discriminant and nature of roots.
Situational problems based on quadratic equations related to day to day activities to be
incorporated.

Chapter 5: 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.

Chapter 10: Circles
Tangent to a circle at point of contact
1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the
point of contact.
2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

Chapter 13: Surface Areas and Volumes
Surface areas and volumes of combinations of any two of the following: cubes, cuboids,
spheres, hemispheres and right circular cylinders / cones.

Chapter 15: Probability
Classical definition of probability. Simple problems on finding the probability of an
event.

 The whole syllabus is to be completed by 13th December, 2024.
 Mental Maths & Maths Lab activities.
 Revision for Pre-Board Examination.

Pre-Board Examination

 Annual Board Examination will be based on complete syllabus.
 Revision of sample question papers provided by CBSE as well as DOE.
 Revision for Annual Board Examination – 2025.

Board Examination – 2025

QUESTION PAPER DESIGN
CLASS – X (2024-25)
MATHEMATICS – Standard (041)
Time: 3 Hours Max. Marks: 80

S. Typology of Questions Total % Weightage
No. Marks (approx.)
Remembering:
Exhibit memory of previously learned material by recalling
facts, terms, basic concepts, and answers.
1 Understanding: 43 54
Demonstrate understanding of facts and ideas by
organizing, comparing, translating, interpreting, giving
descriptions, and stating main ideas.

Applying:
2 Solve problems to new situations by applying acquired 19 24
knowledge, facts, techniques and rules in a different way.

Analysing:
Examine and break information into parts by identifying
motives or causes. Make inferences and find evidence to
support generalizations
Evaluating:
Present and defend opinions by making judgments about
3 information, validity of ideas, or quality of work based on a 18 22
set of criteria.
Creating:
Compile information together in a different way by
combining elements in a new pattern or proposing
alternative solutions

Total 80 100

INTERNAL ASSESSMENT 20 MARKS

Pen Paper Test and Multiple Assessment (5+5) 10 Marks

Portfolio 05 Marks

Lab Practical (Lab activities to be done from the prescribed books) 05 Marks

QUESTION PAPER DESIGN
CLASS – X (2024-25)
MATHEMATICS – Basic (241)
Time: 3 Hours Max. Marks: 80

S. Typology of Questions Total % Weightage
No. Marks (approx.)
Remembering:
Exhibit memory of previously learned material by recalling
facts, terms, basic concepts, and answers.
1 Understanding: 60 75
Demonstrate understanding of facts and ideas by
organizing, comparing, translating, interpreting, giving
descriptions, and stating main ideas.

Applying:
2 Solve problems to new situations by applying acquired 12 15
knowledge, facts, techniques and rules in a different way.

Analysing:
Examine and break information into parts by identifying
motives or causes. Make inferences and find evidence to
support generalizations
Evaluating:
Present and defend opinions by making judgments about
3 information, validity of ideas, or quality of work based on a 8 10
set of criteria.
Creating:
Compile information together in a different way by
combining elements in a new pattern or proposing
alternative solutions

Total 80 100

INTERNAL ASSESSMENT 20 MARKS

Pen Paper Test and Multiple Assessment (5+5) 10 Marks

Portfolio 05 Marks

Lab Practical (Lab activities to be done from the prescribed books) 05 Marks

वािषर्क पाठ्यक्रम (2024-25)
क�ा – दसवीं
गिणत (िवषय कोड: 041 और 241)
Course Structure
Units Unit Name Marks
I Number Systems 06
II Algebra 20
III Coordinate Geometry 06
IV Geometry 15
V Trigonometry 12
VI Mensuration 10
VII Statistics & Probability 11
Total 80
Internal Assessment 20
Grand Total 100

अध्याय 1: वास्तिवक संख्याएँ
अंक गिणत क� आधारभतू प्रमेय का कथन - उदाहरणों द्वारा प्रे�रत करने व समझाने तथा पहले िकए गए कायोर्ं
क� समी�ा करने के बाद । √2, √3 और √5 क� अप�रमेयता को िसद्ध करना ।
अध्याय 2: बह�पद
बह�पद के शन्ू यक, िद्वघातीय बह�पदों के शन्ू यकों और गणु ांकों में संबंध ।
अध्याय 3: दो चर वाले रै िखक समीकरण युग्म
दो चर वाले रै िखक समीकरण यग्ु म और उनका ग्राफ�य िविध द्वारा हल, संगत/असंगत ।
िविभन्न समाधानों के िलए बीजगिणतीय िस्थितयाँ । एक रै िखक समीकरण यग्ु म को हल करने क� बीजगिणतीय
िविधयाँ – प्रितस्थापन िविध, िवलोपन िविध । सरल िस्थितयों वाली समस्याएँ ।
अध्याय 6: ित्रभुज
प�रभाषाएँ, उदाहरण, सम�प ित्रभजु ों के िवरोधात्मक उदाहरण (counter examples) ।
1. (िसद्ध करना) यिद िकसी ित्रभज ु क� एक भजु ा के समातं र अन्य दो भजु ाओ ं को िभन्न-िभन्न िबदं ओ
ु ं पर
प्रितच्छे द करने के िलए एक रे खा खींची जाए, तो अन्य दो भजु ाएँ एक ही अनपु ात में िवभािजत हो जाती हैं ।
2. (अिभप्रेरणा) यिद एक रे खा िकसी ित्रभज ु क� दो भजु ाओ ं को एक ही अनपु ात में िवभािजत करे , तो वह

तीसरी भजु ा के समातं र होती है ।
3. (अिभप्रेरणा) यिद दो ित्रभजु ों में, संगत कोण बराबर हों, तो उनक� संगत भजु ाएँ एक ही अनपु ात में
(समानपु ाती) होती हैं और ये ित्रभज ु सम�प होते हैं ।
4. (अिभप्रेरणा) यिद दो ित्रभज ु ों में एक ित्रभजु क� भजु ाएँ दसू रे ित्रभजु क� भजु ाओ ं के समानपु ाती (एक ही
अनपु ात में) हों, तो इनके संगत कोण बराबर होते हैं और दोनों ित्रभजु सम�प होते हैं ।
5. (अिभप्रेरणा) यिद एक ित्रभज ु का एक कोण दसू रे ित्रभजु के एक कोण के बराबर हो तथा इन कोणों को
अतं गर्त करने वाली भजु ाएँ समानपु ाती हों, तो दोनों ित्रभजु सम�प होते हैं ।
अध्याय 7: िनदेर्शांक ज्यािमित
समी�ा: िनदेर्शांक ज्यािमित क� अवधारणा, रै िखक समीकरणों के आलेख । दरू ी सत्रू । िवभाजन सत्रू (आंत�रक
िवभाजन)
अध्याय 8: ित्रकोणिमित का प�रचय
समकोण ित्रभजु के िकसी एक न्यनू कोण के ित्रकोणिमतीय अनपु ात । इनके अिस्तत्व क� उपपि�
(सपु �रभािषत); 0° और 90° पर प�रभािषत अनपु ातों क� अिभप्रेरणा । 30°, 45° और 60° के ित्रकोणिमतीय
अनपु ातों के मान । िविभन्न ित्रकोणिमतीय अनपु ातों के बीच संबंध ।
सवर्सिमका sin2A + cos2A = 1 क� उपपि� और अनप्रु योग । के वल साधारण सवर्सिमकाएँ ही दी जानी हैं ।
अध्याय 9: ित्रकोणिमित के कुछ अनुप्रयोग
उन्नयन कोण, अवनमन कोण, ऊँचाइयों और द�ू रयों पर आधा�रत सरल समस्याएँ । समस्याओ ं में दो से अिधक
समकोण ित्रभजु शािमल नहीं होने चािहए । उन्नयन/अवनमन कोण 30°, 45°, 60° का ही होना चािहए ।
अध्याय 12: वृ�ों से सबं िं धत �ेत्रफल
वृ� के वृ�खण्ड और ित्रज्यखण्ड के �ेत्रफल । उपयर्�
ु समतल आकृ ितयों के �ेत्रफल और प�रमाप/प�रिध पर
आधा�रत समस्याएँ । (िकसी वृ� के ित्रज्यखण्ड का �ेत्रफल �ात करने के िलए के न्द्रीय कोण के वल 60º, 90º
और 120º का होना चािहए ।)
अध्याय 14: सांिख्यक�
वगीर्कृत आँकड़ों का माध्य, माध्यक तथा बह�लक (िद्वबह�लक िस्थित नहीं होनी चािहए ) ।

 उपरो� पाठ्यक्रम को मध्याविध परी�ा के िलए 13 िसतम्बर 2024 तक पूरा िकया जाना है ।
 में टल मै थ और मै थ्स लैब िक्रयाकलाप ।
 मध्याविध परी�ा के िलए पाठ्यक्रम क� पुनरावृि� ।

मध्याविध परी�ा – 2024

अध्याय 4: िद्वघात समीकरण
िद्वघात समीकरण का मानक �प ax2 + bx + c = 0, (a ≠ 0), िद्वघात समीकरण के हल (के वल वास्तिवक
मल ू ) – गणु नखंड द्वारा और िद्वघात सत्रू द्वारा । मल
ू ों क� प्रकृ ित और िविव�कर (discriminant) के बीच
संबंध ।
िद्वघात समीकरणों पर आधा�रत दैिनक जीवन से जड़ु ी समस्याएँ ।
अध्याय 5: समांतर श्रेिढ़याँ
समातं र श्रेढ़ी को पढ़ने के िलए अिभप्रे�रत करना । nवाँ पद और इसके प्रथम n पदों का योग करने का
व्यत्ु पि�करण (derivation) और दैिनक जीवन से जड़ु ी समस्याओ ं को हल करने में इनका प्रयोग ।
अध्याय 10: वृ�
वृत के िकसी िबन्दु पर स्पशर् रे खा
1. (िसद्ध करना) वृत के िकसी िबन्दु पर स्पशर् रे खा स्पशर् िबन्दु से जाने वाली ित्रज्या पर लम्ब होती है ।
2. (िसद्ध करना) बा� िबन्दु से वृ� पर खींची गई स्पशर् रे खाओ ं क� लम्बाइयाँ बराबर होती हैं ।

अध्याय 13: पृ�ीय �ेत्रफल और आयतन
िनम्न िकन्हीं दो के सयं ोजनों का पृ�ीय �ेत्रफल और आयतन: घन, घनाभ, गोला, अधर्गोला और लबं वृ�ीय
बेलन/शंकु ।
अध्याय 15: प्राियकता
प्राियकता क� परम्परागत प�रभाषा । एक घटना पर आधा�रत साधारण समस्याओ ं क� प्राियकता �ात करना ।

 संपूणर् पाठ्यक्रम को 13 िदसम्बर 2024 तक पूरा िकया जाना है ।
 मे न्टल मै थ और मै थ्स लैब िक्रयाकलाप ।
 प्री-बोडर् परी�ा के िलए पुनरावृि� ।

प्री–बोडर् परी�ा

 वािषर्क बोडर् परी�ा संपूणर् पाठ्यक्रम पर आधा�रत होगी ।
 सीबीएसई तथा िश�ा िनदेशालय द्वारा उपलब्ध कराए गए प्र� पत्रों का अभ्यास ।
 वािषर्क बोडर् परी�ा – 2025 के िलए पुनरावृि� ।

बोडर् परी�ा – 2025

QUESTION PAPER DESIGN
CLASS – X (2024-25)
MATHEMATICS – Standard (041)
Time: 3 Hours Max. Marks: 80

S. Typology of Questions Total % Weightage
No. Marks (approx.)
Remembering:
Exhibit memory of previously learned material by recalling
facts, terms, basic concepts, and answers.
1 Understanding: 43 54
Demonstrate understanding of facts and ideas by
organizing, comparing, translating, interpreting, giving
descriptions, and stating main ideas.

Applying:
2 Solve problems to new situations by applying acquired 19 24
knowledge, facts, techniques and rules in a different way.

Analysing:
Examine and break information into parts by identifying
motives or causes. Make inferences and find evidence to
support generalizations
Evaluating:
Present and defend opinions by making judgments about
3 information, validity of ideas, or quality of work based on a 18 22
set of criteria.
Creating:
Compile information together in a different way by
combining elements in a new pattern or proposing
alternative solutions

Total 80 100

INTERNAL ASSESSMENT 20 MARKS

Pen Paper Test and Multiple Assessment (5+5) 10 Marks

Portfolio 05 Marks

Lab Practical (Lab activities to be done from the prescribed books) 05 Marks

QUESTION PAPER DESIGN
CLASS – X (2024-25)
MATHEMATICS – Basic (241)
Time: 3 Hours Max. Marks: 80

S. Typology of Questions Total % Weightage
No. Marks (approx.)
Remembering:
Exhibit memory of previously learned material by recalling
facts, terms, basic concepts, and answers.
1 Understanding: 60 75
Demonstrate understanding of facts and ideas by
organizing, comparing, translating, interpreting, giving
descriptions, and stating main ideas.

Applying:
2 Solve problems to new situations by applying acquired 12 15
knowledge, facts, techniques and rules in a different way.

Analysing:
Examine and break information into parts by identifying
motives or causes. Make inferences and find evidence to
support generalizations
Evaluating:
Present and defend opinions by making judgments about
3 information, validity of ideas, or quality of work based on a 8 10
set of criteria.
Creating:
Compile information together in a different way by
combining elements in a new pattern or proposing
alternative solutions

Total 80 100

INTERNAL ASSESSMENT 20 MARKS

Pen Paper Test and Multiple Assessment (5+5) 10 Marks

Portfolio 05 Marks

Lab Practical (Lab activities to be done from the prescribed books) 05 Marks