UP Board Class 10 Maths Syllabus 2023 PDF (In Hindi) Download UP 10th Mathematics Study Material

UP Board Class 10 Maths Syllabus 2023 PDF: The Reduced UP Board Class 10 Maths Syllabus PDF is available on this page Questionpapersonline.com for the academic Year 2023. The Officials of the Uttar Pradesh Madhyamik Shiksha Parishad have released the Syllabus 2023 on its Official Portal @ upmsp.edu.in. So the Students can able to download the UP Board Class 10 Maths Curriculum Now from here. The Candidates can get the UP Board Class 10 Maths Syllabus from here. Click on the below-attached PDF links to Download UP Board Class 10 Maths Syllabus 2023 for the Academic Year 2023-23. UP 10th Mathematics syllabus was reduced due to the pandemic Situation. And the New UP Board Class 10 Maths Term Wise syllabus is now available Online for Download and The Scheme of the UP Board Class 10 Maths Exam is also available Now.

Contents in this Article

UP Board 12th Class Chemistry Model Question Papers Highlights

Name of the ExamUttar Pradesh Madhyamik Shiksha Parishad
Category     UP Board Class 10 Syllabus
ClassClass 10
Official websitehttps://upmsp.edu.in

Download UP Board Class 10 Mathematics Syllabus 2023 PDF

As the regular teaching–learning in schools, during the session 2020-21, has widely been affected due to the Covid – 19 pandemic, the subject experts committee, after due consideration, has recommended reducing the syllabus by 30% in the following manner :

Almost 30% reduced syllabus:-


  1. Polynomials

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

4. Arithmetic Progressions

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of an A.P. and their application in solving daily life problems.


  1. Circles

Tangent to a circle at, the point of contact.

  1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of
  2. (Prove) The lengths of tangents drawn from an external point to a circle are


  1. Trigonometric Identities

Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.


  1. Probability :

The classical definition of probability. Simple problems in finding the probability of an event.

Class: 10          Subject: Mathematics Only Paper

Time : 3 hours                                                                            Marks: 70

UnitName of UnitMarks
INumber System05
IIICo-ordinate Geometry05
VIIStatistics and Probability10
Project Work30
(Written 70marks + project work 30marks)100

Approximately 70% Syllabus :

UNIT I: NUMBER SYSTEMS                                                           05 Marks

  1. Real Numbers

Periods 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 √2, √3, √5, decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.

UNIT II: ALGEBRA                                                                           18 Marks

  1. Pair of Linear Equations in Two Variables

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Solution of a pair of linear equations in two variables

algebraically – by substitution, by elimination and by cross multiplication method. Simple problems on equations reducible to linear equations.

3.  Quadratic Equations

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, by completing the square, and by using the quadratic formula. Relationship between discriminant and nature of roots. Situation problems based on quadratic equations related to day-to-day activities to be incorporated.

UNIT III: COORDINATE GEOMETRY                                          05 Marks

  1. Lines (In two dimensions)

Review: Concepts of coordinate geometry, graphs of linear equations, Distance formula, Section formula (internal division), Area of a triangle.

UNIT IV: GEOMETRY                                                                      12 Marks

  1. 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
  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
  4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are
  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
  6. (Motivate) If a perpendicular is drawn from the vertex of the right angle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each
  7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding
  8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two
  9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right

3. Constructions

  1. Division of a line segment in a given ratio (internally).
  2. Tangents to a circle from a point outside
  3. Construction of a triangle similar to a given

UNIT V: TRIGONOMETRY                                                              10 Marks

  1. 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 0o and 90o. Values of the trigonometric ratios of (300, 450, 600 ,0o and 90o). Relationships between the

2.  Trigonometric Identities

Trigonometric ratios of complementary angles.

3.    Heights and Distances: 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 30o, 45o, 60o.

UNIT VI: MENSURATION                                                               10 Marks

  1. Areas Related to Circles

Periods 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 area of segment of a circle, problems should be restricted to central angle of 60°, 90° and 1200 only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.

2.  Surface Areas and Volumes

  1. Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a
  2. Problems involving converting one type of metallic solid into another and other mixed problems. (Problems with combination of not more than two different solids be taken).

UNIT VII: STATISTICS AND PROBABILITY                                10 Marks

  1. Statistics

Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.

PROJECT WORK                                                                              30 Marks

  • Internal Assessment 15 Marks

(Questions should also be asked from the book “Bharat ka Paramparagat Ganit Gyan” – Class 10th )

  • Project Work 15 Marks

Note : Student should prepare any two projects from the following (serial no- 1 to 11), teachers can also give other projects related to the subject from their level and one project from point 12 should be compulsorily prepared by the students.

  • Verification of Pythagoras Theorem by constructing triangles and the squares on a cardboard or chart paper.
  • Use of statistics in
  • To study the role of the different geometrical shapes in architecture and
  • Knowledge of sign of trigonometrical ratio through charts / expressing through diagram in the corresponding ratio of triangles the trigonometric ratio of angles, complementary angles etc.
  • Any one of North Medival Mathematician’s (Ramanujan, Narayan Pandit ) life and their contributions in Mathematics.
  • Make 2 different cylinders by taking two papers of 24 × 42 cm size and turning them by its length and width direction and calculate whose curved surface and volume will be greater or
  • To study of different direct and indirect taxes imposed by the Government. 8- Functional analysis of the statement that “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”.

9-    Making of Sextent (for measuring distance) and its use. 10- Utility of Mathematical Principles in Drawing.

  • Give the detail of different steps for granting the loan from Bank to buy a car or
  • Any one project from the following three parts of the recommended book “Bharat ka Paramparagat Ganit Gyan” – Class 10

Part a. Bright tradition of Mathematics in India. Part b. Traditional methods of calculation.

Part c. Renowned Mathematicians of India.

Class-10 Subject- science

Note: In this written exam of 70 marks will be only question paper and there will be 30 marks of practical and project work.

1Chemical Substances-Nature and Behaviour20
2World of living20
3Natural Phenomena12
4Effect of current13
5Natural Resources05
Practical and Project work30
Grand Total100

As the regular teaching–learning in schools, during the session 2020-21 has widely been affected due to the COVID-19 pandemic, the subject experts committee, after consideration, has recommended reducing the syllabus by 30% in the following manner-

Unit I: Chemical Substances Nature and Behaviour:-

Metals and nonmetals: Properties of metals and non-metals,Formation and properties of ionic compounds

Periodic classification of elements: early attempts at classification of elements Dobereiner’s Triads, Newland’s Law of Octaves

Unit II: World of Living-

Control and coordination in animals and plants: Tropic movements in plants; Introduction of plant hormones; Control and coordination in animals: Nervous system; Voluntary, involuntary and reflex action; Chemical co-ordination: animal hormones.

Unit III: Natural Phenomena-

Refraction – Magnification Power of a lens, scattering of light, applications in daily life.

Unit IV: Effects of Current – Applications in daily life.

Magnetic effects of current :

Advantage of AC over DC. Domestic electric circuits.

Unit V:   Natural Resources- Biogas;

Our environment:   Eco-system, Ozone depletion,

In accordance to the Above, the remaining 70% of the total syllabus is as follows- Unit I: Chemical Substances Nature and Behaviour:-                20 Marks

Chemical reactions:   Chemical equation, Balanced chemical equation, implications of a balanced chemical equation, type of chemical reactions: combination, decomposition, displacement, double displacement, precipitation, neutralization, oxidation and reduction.

Acids, bases and salts: Their definitions in terms of furnishing of H+ and OH ions, General properties, examples and uses, concept of pH scale (Definition relating to logarithm not required), importance of pH in everyday life; preparation and uses of Sodium Hydroxide, Bleaching powder, Baking soda, Washing soda and Plaster of Paris.

Metals and nonmetals: Reactivity series, Basic metallurgical processes; Corrosion and its prevention.

Carbon compounds: Covalent bonding in carbon compounds. Versatile nature of carbon. Homologous series. Nomenclature of carbon compounds containing functional groups (halogens, alcohol, ketones, aldehydes, alkanes and alkynes), difference between saturated hydrocarbons and unsaturated hydrocarbons. Chemical properties of carbon compounds (combustion, oxidation, addition and substitution reaction). Ethanol and Ethanoic acid (only properties and uses), soaps and detergents.

Periodic classification of elements: Need for classification, Mendeleev’s Periodic Table), Modern periodic table, gradation in properties, valency, atomic number, metallic and non-metallic properties.

Unit II: World of Living-                                                                          20 Marks

Life processes: ‘Living Being’. Basic concept of nutrition, respiration, transport and excretion in plants and animals.

Reproduction: Reproduction in animals and plants (asexual and sexual) reproductive health-need and methods of family planning. Safe sex vs HIV/AIDS. Child bearing and women’s health.

Heredity and Evolution: Heredity; Mendel’s contribution- Laws for inheritance of traits: Sex determination: (brief introduction), Basic concepts of evolution.

Unit III: Natural Phenomena-                                                                  12 Marks

Reflection of light by curved surfaces; Images formed by spherical mirrors, centre of curvature, principal axis, principal focus, focal length, mirror formula (Derivation not required),

Refraction– Laws of refraction, refractive index. Refraction of light by spherical lens; Image formed by spherical lenses; Lens formula (Derivation not required). Functioning of a lens in human eye, defects of vision and their corrections, applications of spherical mirrors and lenses. Refraction of light through a prism, dispersion of light,

Unit IV: Effects of Current Electric current-                                          13 Marks

potential difference and electric current. Ohm’s law; Resistance, Resistivity, Factors on which the resistance of a conductor depends. Series combination of resistors, parallel combination of resistors. Heating effect of electric current Electric power, Interrelation between P, V, I and R.

Magnetic effects of current : Magnetic field, field lines, field due to a current carrying conductor, field due to current carrying coil or solenoid; Force on current carrying conductor, Fleming’s Left Hand Rule, Electric Motor, Electromagnetic induction. Induced potential difference, Induced current. Fleming’s Right Hand Rule, Electric Generator, Direct current. Alternating current: frequency of AC.

Unit V: Natural Resources –                                                                    05 Marks

Sources of energy: Different forms of energy, conventional and non-conventional sources of energy: Fossil fuels, solar energy; wind, water and tidal energy; Nuclear energy. Renewable versus non-renewable sources of Energy.

Our environment: Environmental problems, waste production and their solutions. Biodegradable and non-biodegradable substances.

Management of natural resources: Conservation and judicious use of natural resources. Forest and wild life; Coal and Petroleum conservation. Examples of people’s participation for conservation of natural resources.

Dams: advantages and limitations. Water harvesting. Sustainability of natural resources.


Evaluation of Practical exam will be done at school level, and distribution of marks of practical exam will be as follows-

  • Three experiment – 3 ^ 3 = 9 marks

2-    Viva                                                = 3 marks

  • Sessional work = 3 marks

Total                = 15 marks

LIST OF EXPERIMENTS:-                                                                       15 Marks

  1. Finding the pH of the following samples by using pH paper/universal indicator:
    • Dilute Hydrochloric Acid
    • Dilute NaOH solution
    • Dilute Ethanoic Acid solution
    • Lemon juice
    • Water
    • Dilute Hydrogen Carbonate solution
  1. Studying the properties of acids and bases (HCl & NaOH) on the basis of their reaction with:
    1. Litmus solution (Blue/Red)
    2. Zinc metal
    3. Solid sodium carbonate
  1. Performing and observing the following reactions and classifying them into:
  2. Combination reaction
  3. Decomposition reaction
  4. Displacement reaction
  5. Double displacement reaction
  • Action of water on quicklime
  • Action of heat on ferrous sulphate crystals
  • Iron nails kept in copper sulphate solution
  • Reaction between sodium sulphate and barium chloride solutions
  1. Observing the action of Zn, Fe, Cu and Al metals on the following salt solutions:
  2. ZnSO4(aq)
  3. FeSO4(aq)
  • CuSO4(aq)
  1. Al2 (SO4)3(aq)

Arranging Zn, Fe, Cu and Al (metals) in the decreasing order of reactivity based on the above result.

  1. Studying the dependence of potential difference (V) across a resistor on the current

(I) passing through it and determine its resistance. Also plotting a graph between V and I.

  1. Determination of the equivalent resistance of two resistors when connected in series and
  2. Preparing a temporary mount of a leaf peel to show

7 Experimentally show that carbon dioxide is given out during respiration. 8 Study of the following properties of acetic acid (ethanoic acid):

i)- odour

ii)- solubility in water

iii)- effect on litmus

iv)- reaction with Sodium Hydrogen Carbonate

  • Study of the comparative cleaning capacity of a sample of soap in soft and hard
  • Determination of the focal length of: i)- Concave mirror

ii)- Convex lens by obtaining the image of a distant object. By obtaining the image of a distant object.

  • Tracing the path of a ray of light passing through a rectangular glass slab for different angles of incidence. Measure the angle of incidence, angle of refraction, angle of emergence and interpret the result.
  • Studying (a) binary fission in Amoeba, and (b) budding in yeast and Hydra with the help of prepared
  • Tracing the path of the rays of light through a glass
  • Finding the image distance for varying object distances in case of a convex lens and drawing corresponding ray diagrams to show the nature of image
  • Identification of the different parts of an embryo of a dicot seed (Pea, gram or red kidney bean).

Note-:   Every student should have a practical note book in which all practical records will be noted, should be checked properly and will be presented at the time of practical exam .

Project list                                                   15 Marks

Note-: Prepare any three project from the given project list by the students. It will be compulsory to prepare one project and project file from each of the section (physics, chemistry, and biology). Teacher can also provide other projects at their levels. Evaluation of all three project will be done internally at school level –

  • To study pH value of following natural product and colour change in acid and base solution by using pH paper/ universal indicator.
    • Lemon juice
    • beat juice
    • cabbage juice
    • boiled pea water
    • Rose’s petals juice
  • – To make Chemical

(glass Jar, Sand water glass solution, copper sulphate, cobalt sulphate or magnese sulphate crystal )

  • Comparative study by practical observation of produced heat in different neutralization reactions
  • To study modern periodic series by making it on chart paper 5- Madam Quiry personality and

6-    To prepare model of electric bell and to study its scientific principles . 7-                 To prepare kaleidoscope model.

  • To study in detail by listing the famous Indian scientist’s personality and their contribution in science
  • To prepare model of electric quiz board giving necessary circuit. 10- Study of role of science in entertainment with help of pictures
  • Making a list by observing change in nature, position and size of image made by mirror and
  • To study the different part (petals, sepals, androecium, gynoecium,) of bisexual flower such as Hibiscus and mustard and observation of pollination in
  • To prepare model of human
  • To study germination and structure of seeds with the help of bean and maize seed (soaked)
  • Preparing herbarium by collecting different type of
  • Growing plant without soil- preparing project report on the basis of practical and
  • To study Air pollution produced by petrol and diesel and use of CNG to reduce
  • Importance of plastic and polythene in daily life and their role in environmental
  • Reason of increasing noise in your city and study with pictures of harmful

Social Science CLASS X (2020-21)

Theory Paper

Time: 3 Hrs.                                                                                                   Max Marks: 70
IIndia and the Contemporary World – II20
IIContemporary India – II20
IIIDemocratic Politics – II15
IVUnderstanding Economic Development15

Project Work (30 Marks)

Note: As the regular teaching-learning in schools, during the session 2020-21, has widely been affected due to the COVID-19 pandemic, the subject experts committee, after due consideration, has recommended to reduce the syllabus by 30% in the following manner:-

Unit 2: Contemporary India – II

Section 2:

  1. Manufacturing Industries:

Unit 3: Democratic Politics – II

Secion 2:

  1. Political Parties:

Unit 4: Understanding Economics Development

Section 1:

  1. Money and Credit:

In accordance with the above, the remaining 70 percent of the total syllabus is as follows:

Unit 2: Contemporary India – II                                                                               (20 Marks)

  1. Forest and Wildlife
  2. Water Resources:
  3. Agriculture:
  4. Life Lines of National Economy:

Map Work:

(05 Marks)


Chapter 1: Resources and Development (Identification only)

  1. Major soil Types

Chapter 3: Water Resources (Locating and Labelling)


  1. Salal
  2. Bhakra Nangal
  3. Tehri
  4. Rana Pratap Sagar
  5. Sardar Sarovar
  6. Hirakud
  7. Nagarjuna Sagar
  8. Tungabhadra

Chapter 4: Agriculture (Identification only)

  1. Major areas of Rice and Wheat
  2. Largest/Major producer states of Sugarcane, Tea, Coffee, Rubber, Cotton and Jute

Chapter 5: Minerals and Energy Resources

Minerals (Identification only)

  1. Iron Ore Mines
    • Mayurbhanj
    • Durg
    • Bailadila
    • Bellary
    • Kudremukh
  2. Coal Mines
    • Raniganj
    • Bokaro
    • Talcher
    • Neyveli
  3. Oil Fields
    • Digboi
    • Naharkatia
    • Mumbai High
    • Bassien
    • Kalol
    • Ankleshwar

Unit 3: Democratic Politics – II                                                                                   (15 Marks)

  • & Democracy and Diversity & Gender, Religion and Caste:

Section 2:

(07 Marks)

  1. Popular Struggles and Movements:

(Note : Ch-5 is to be done as project work only and will not be evaluated in theory)

  1. Outcomes of Democracy:
    • Can or should democracy be judged by its outcomes?
    • What outcomes can one reasonably expect of democracies?
    • Does democracy in India meet these expectations?
    • Has democracy led to development, security and dignity for the people?
    • What sustains democracy in India?
  2. Challenges to Democracy:
    • Is the idea of democracy shrinking?
    • What are the major challenges to democracy in India?
    • How can democracy be reformed and deepend?
    • What role can an ordinary citizen play in deepening democracy?

Unit 4: Understanding Economic Development                                                      (15 Marks)

Section 1:

(09 Marks)

  1. Development:
    • What Development Promises – Different people different goals
    • Income and other goals
    • National Development
    • How to compare different countries or states?
    • Public Facilities
    • Sustainability of development
    • Infant-mortality rate
  2. Sectors of the Indian Economy:

Section 2:

(06 Marks)

  1. Globalization and the Indian Economy:
    • Production across countries
  • Interlinking production across countries
  • Foreign Trade and integration of markets
  • What is globalization?
  • Factors that have enabled Globalisation
  • World Trade Organisation
  • Impact of Globalization on India
  • The Struggle for a fair Globalisation
  1. Consumer Rights:
    • How consumer is exploited?
    • Factors causing exploitation of consumers
    • Rise of consumer awareness
    • How a consumer should be in a market?
    • Role of government in consumer protection

Project work / Activity

  • Students can collect photographs showing costumes of different Indian regions and specific rural houses. They can also examine if these indicate any relation to the climatic condition and relief of that particular region.
  • Students can write a short report on changes taking place in agricultural methods during the last decade and different irrigation method prevalent in


  • Water pollution in the
  • Deforestation and Greenhouse

Note: Any other similar activity can also be selected.

Project Work :

  • Each student will have to do the following project work –
  1. Popular struggles and movements.

Teachers themselves can allot other syllabus-based projects to the students.

Marks division for the project work :

  • Originality and correctness of the 01 Mark
  • Presentation and 01 Mark 3- Process for project completion-

Taking initiative, cooperation, participation, and punctuality.     01 Mark

4- Written exam or viva-voce for assimilating the content.   02 Marks

3 Monthly tests of five marks each.            15 Marks

3 Projects five marks each.            15 Marks

                                                Total 30 Marks

Note : School will internally evaluate the project work.

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