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MP PPT Syllabus 2021:
|
Name of the Board |
MP Vyapam |
| Name of the Post |
Pre-Polytechnic Test(PPT) |
|
Exam Date |
Announce Soon |
| Status |
Syllabus Available |
MP PPT Exam Pattern 2021:
| Sl. No | Subjects | No of Questions | Marks |
| 1 | Physics | 50 | 50 |
| 2 | Chemistry | 50 | 50 |
| 3 | Mathematics | 50 | 50 |
| Total Marks | 150 Marks | ||
Latest Government Job Notification 2021
MP PPT Syllabus 2021:
MATHEMATICS UNIT I: NUMBER SYSTEMS
- REAL NUMBER:
Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √ √ √ Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
UNIT II: ALGEBRA
1.POLYNOMIALS Zeros of a Polynomial.
Periods Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients
2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES:
Pair of linear equations in two variables and graphical solution, consistency/inconsistency. method of their 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.
3. QUADRATIC EQUATIONS
Standard form of a quadratic equation ax 2 + bx + c = 0, (a ≠ 0). Solutions of quadratic PPT-2019 50 equations (only real roots) by factorization, by completing the square 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.
4. 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.
UNIT III: COORDINATE GEOMETRY:
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:
1. TRIANGLES (15) Periods:
Definitions, examples, counter examples of similar triangles.
- (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. - (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to
the third side. - (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
- (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
- (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.
- (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.
- (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
- (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
- (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 angle.
2. CIRCLES
Tangent to a circle at, point of contact
- (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- (Prove) The lengths of tangents drawn from an external point to a circle are equal.
3. CONSTRUCTIONS:
- Division of a line segment in a given ratio (internally).
- Tangents to a circle from a point outside it.
- Construction of a triangle similar to a given triangle.
UNIT V: TRIGONOMETRY:
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 (with proofs) of the trigonometric ratios of 300 , 450 and 600 Relationships between the ratios.
2. TRIGONOMETRIC IDENTITIES:
Applications of the identity sin2 A + cos 2 A = 1. Only simple identities to be given.
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 30°, 45°, 60°.
UNIT VI: MENSURATION:
1. AREAS RELATED TO CIRCLES:
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 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken.)
2. SURFACE AREAS AND VOLUMES:
Areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
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:
1. STATISTICS:
Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.
2. PROBABILITY
Definition of probability. Simple problems on single events (not using set notation).
COURSE STRUCTUR CLASS X
Science:
Unit I: Chemical Substances – Nature and Behavior:
Chemical Reactions: Chemical equation, Balanced chemical equation, implications of a balanced chemical equation, types 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: Properties of metals and non-metals; Reactivity series; Formation and properties of ionic compounds; 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, Early attempts at classification of elements (Dobereiner’s Triads, Newland’s Law of Octaves, Mendeleev’s Periodic Table), Modern periodic table, gradation in properties, valency, atomic number, metallic and non-metallic properties.
Theme: The World of the Living (50 Periods)
Unit II: World of Living
Life processes: ‘Living Being’. Basic concept of nutrition, respiration, transport and excretion in plants and animals. Control and co-ordination in animals and plants: Tropic movements in plants; Introduction of plant hormones; Control and co-ordination in animals: Nervous system; Voluntary, involuntary and reflex action; Chemical co-ordination: animal hormones.
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.
Theme: Natural Phenomena (23 Periods)
Unit III: Natural Phenomena
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), magnification.
Refraction; Laws of refraction, refractive index.
Refraction of light by spherical lens; Image formed by spherical lenses; Lens formula (Derivation not required); Magnification. Power of a lens.
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, scattering of light, applications in daily life.
Theme: How Things Work (32 Periods)
Unit IV: Effects of Current
Electric current, 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 and its applications in daily life. Heating effect of electric current and its applications in daily life. 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. Advantage of AC over DC. Domestic electric circuits.
Theme: Natural Resources (20 Periods)
Unit V: Natural Resources
Sources of energy: Different forms of energy, conventional and nonconventional sources of energy: Fossil fuels, solar energy; biogas; wind, water and tidal energy; Nuclear energy. Renewable versus non-renewable sources of Energy.
Our environment: Eco-system, Environmental problems, Ozone depletion, waste production and their solutions. Biodegradable and nonbiodegradable 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. Big dams: advantages and limitations; alternatives, if
any. Water harvesting. Sustainability of natural resources
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The MP PPT Exam Date 2021 will be Announce Soon
The direct link to download MP PPT Syllabus 2021 have provided above
The Total Number of Questions were asked in the examination is 150