MP Board 10th Exam Pattern 2022-23 - Check Passing Mark, Marking Scheme

Attributes

Details

Exam Name

Madhya Pradesh Board 10th Examination

Board Name

MPBSE

Exam mode

Offline

Frequency of Exam

Once a year

Exam Dates 

15th February to March 20, 2023

Exam Duration

3 hours

Official Website

mpbse.edu.in

Particulars

Subjects

First Language (Special)

Hindi, English, Sanskrit, Marathi, Urdu, Bengali, Gujarati, Telugu, Tamil, Punjabi, Sindhi, Malayalam, Kannada, Oriya

Second Language (General)

Hindi, English

Third Language (General)

English, Hindi, Sanskrit, Marathi, Gujarati, Telugu, Tamil, Malayalam, Sindhi, Punjabi, Kannada, Bengali, Urdu, Arabic, Persian, Russian, Oriya, French

Compulsory Subjects

Mathematics, Science, Social Science.

1.Linear equations in 2 variables

1.Linear Equation in Two Variables System of Linear Equations

1. Graphically

2. Algebraic Method

(A) Elimination by Substitution

(B) Elimination by Equating the Coefficients

(C) Cross Multiplication.

(D) Transpose Method of Vedic Mathematics.

3. Application of Linear Equation in Two Variables in Solving Simple Problems From Different Areas.

12

2.Polynomials

Zero of a Polynomial, the Relationship Between Zeros and Coefficients of a Polynomial With Particular Reference to Quadratic Polynomials. Statements and Simple Problems on Division Algorithms for Polynomials With Real Coefficients.

(B) Rational Expression

Meaning, Addition, Subtraction and Multiplication, Factorization of Cyclic Order Expressions. Introduction of Hridharachrya and His Formula Method.

07

3.Ratio & Proportions

Ratio and Proportion; Componendo, Dividend, Alternendo, Invertendo, Etc., and Their Application

05

4.Quadratic Equations

(A) Its Standard ax2 + Bx + C = A = 0 Factorisation Method and Formula Method.

The Discriminant of the Quadratic Equation and the Nature of Roots.

(B) Applications of the Quadratic Equation. Different Areas, Solutions of Equations That Are Reducible to the Quadratic Equation.

To Factorize Quadratic Polynomial With the Help of the Formula.

10

5.Commercial Maths

(A) Compound Interest:- Rate of Growth, Depreciation, Conversion Period Not More Than 4 Years. (Rate Should Be 4%, 5% or 10%)
(B) Installments: Installments, Payments, Installment Buying (Number of Installments Should Not Be More Than Two in Case of Buying) Only Equal Installments Should Be Taken in Case of Payment Thought Equal Installments Not More Than 3 Installments Should Be Taken.

(C) Income Tax : Calculation of Income Tax for salaried class (Salary exclusive of H.R.A.)

(D) Logarithm :-(I) Application in Mathematics Use in Compound Interest, Increase in Population and Depreciation

(II) Use of Logarithm Mensuration Areas of Rectangle, Square, Triangle, Rhombus, Trapezium Which Were Taught in Earlier Classes (Simple Problems)

08

6.Geometry

Similar Triangles

(I) If a Line Is Drawn Parallel to One Side of a Triangle, the Other Two Sides Are Divided in the Same Ratio.

(II)  If a Line Divides Any Two Sides of a Triangle in the Same Ratio, the Line Is Parallel to the Third Side.

(III)  If in Two Triangles, the Corresponding Angles Are Equal, Their Corresponding Sides Are Proportionate (Axiom).

(IV)  If the Corresponding Sides of Two Triangles Are Proportional, Their Corresponding Angles Are Equal (Axiom).

(V)  If Two Triangles Are Equiangular, the Triangles Are Similar (Axiom)

(VI) (Prove) If the Corresponding Sides of the Two Triangles Are Proportional, Then the Triangles Are Similar.

(VII) (Prove) If One Angle of a Triangle Is Equal to One Angle of the Other and the Sides Including These Angles Are Proportional the Triangle Are Similar.

(VIII)  If a Perpendicular Is Drawn From the Vertex of the Right Angle of a Right Triangle to the Hypotenuse, the Triangle on Each Side of the Perpendicular Is Similar to the Whole Triangle and Each Other.

(IX) (Prove) The Ratio of the Areas of Similar Triangles Is Equal to the Ratio of the Squares of Their Corresponding Sides.

08

7.Circles

(I) (Motivate) Two Circles Are Congruent If They Have Equal Radii.

(II) (Motivate) In a Circle or Two Congruent Circles, if Areas Are Equal the Angles Subtended By the Areas at the Center Are Equal and It's Converse (Axiom).

(III) (Motivate) If the Areas of Two Congruent Circles Are Equal Their Corresponding Chords Are Equal and It's Converse.

(IV) (Prove) Perpendicular to a Chord From the Center of a Circle, Bisects the Chord and Its Converse.

(V) (Motivate) One and Only One Circle Can Be Drawn Through Three

Non-Collinear Points.

(VI) (Motivate) Equal Chords Are Equidistant From the Center and Conversely if Two-Chord Are Equidistant From the Center, They Are Equal.

(VII) (Prove) Angle Subtended By an Arc at the Center Is Twice the Angle Subtended At Any Other Point on the Circle.

(VIII) (Prove) Angle Subtended In a Semicircle Is a Right Angle and Its Converse.

(IX) (Prove) Angles in the Same Segment of the Circle Are Equal.

(X) If the Angles Subtended At Two Points on the Same Side of the

Line Segment Are Equal, Then All the Four Points Are Concyclic.

(XI) (Motivate) Equal Chords Subtend Equal Angles at the Center and Are Converse.

(XII) (Prove) The Sum of Either Pair of the Opposite Angles of a Cyclic Quadrilateral Is 1800.

Converse:
- (Prove) If a Pair of Opposite Angles of a Quadrilateral Are Supplementary, the Quadrilateral Is Cyclic.

(XIII) (Prove) Tangent Drawn to a Circle at Any Point Is Perpendicular to the Radius Through the Point of Contact.

(XIV) (Prove) The Lengths of Tangents Drawn From an External Point to a Circle Are Equal.

(XV) (Motivate) If Two Chords of a Circle Intersect Internally or Externally Then the Rectangle Formed by the Two Parts of One Chord Is Equal in Area to the Rectangle Formed by the Two Parts of the Other.

10

8.Constructions

(I) Constructions of the Circumcircle and in a Circle of a Triangle.
(II) To Construct a Triangle if Its Base and the Angle Opposite to It Is Given Altitude or Median Is Given.

(III) To Construct a Cyclic Quadrilateral if It's One Vertical Angle Is the Right Angle.

(IV) Construction of Triangles and Quadrilaterals Similar to the Given Figure as per the Given Scale Factor

5

9.Trigonometry

1.Trigonometrical Functions Trigonometrical Identities

2.Proving Simple Identities Based on the Above Trigonometrical Ratios of the Complementary Angle

10

10.Heights & Distance

Simple Problem Based on Heights and Distances Based on
Angles 300, 450, 600 Only.

05

11.Mensuration

(II) Cube and Cuboid:- Concept of Cube Cuboid and Its Four Walls, Diagonal, Surface Area, and Volume.

(III) Cylinder Cone and Sphere - Cylinder, Hollow Cylinder, Sphere, Spherical Shell, Cone Surface Areas, Whole Surface Area, and Volumes.

(IV) Frustum of a Cone, Problem Involving Converting One Type of Metallic Solid Into Another and Other Mixed Problems. Problems With a Combination of Not More Than Two Different Solids Are Taken.

10

12.Statistics & Probability

1. Mean, Median, and Mode, Living Index Problems Related to Cost of Living Index

2.Probability:- The Classical Definition of Probability, Connection With Probability as Given in Class IX, Simple Problems on Single Events, Not Using Set Notation.

10

Hindi

80

20

100

English

80

20

100

Sanskrit

80

20

100

Urdu

80

20

100

Marathi

80

20

100

Punjabi

80

20

100

Gujarati

80

20

100

Sindhi

80

20

100

Maths

80

20

100

Science

80

20(Practicals)

100

Social Science

80

20

100