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Polytechnic Entrance Test Syllabus (PAT)
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NEW
PROVISIONS
To consider the
amendments in the existing Polytechnic Admission Test
Brochure (PAT).
(a) For the smooth conduct of PAT and to check the
possibility of malpractices etc., the Board after
detailed deliberations felt that the present system of
providing choice to opt for test stations, be
maintained. There is no need to divide the whole State
into zones.
(b) The Board took the decision that the provision
for granting the benefit of relaxation in passing
criteria to the candidates belonging to OBC category
shall be the same as applicable to other reserved
categories.
(c ) The Board took the decision to adopt newly
designed O.M.R. application forms annexed at Annexure
“T” on page No. 6-7 henceforth. However, to ensure the
correctness of entries by the candidates, at least 10%
of application forms filled by the candidates - selected
randomly, be checked in the Board Office.
Consideration to provide 50% relaxation in the
price/ fee of Polytechnic Admission Test (P.A.T.)
Brochure for Scheduled Cast / Scheduled Tribe/ O.B.C.
candidates.
After detailed discussion, the Members approved the
proposal, but it was stressed upon to seek the prior
approval of Finance Department, Govt. of H.P. before its
implementation.
To consider the
recommendations of the Constituted Committee regarding
subjects, syllabi, fixing the number of questions and
amendments in the existing Polytechnic Admission Test
Brochure (P.A.T. Brochure).
After detailed deliberations, the Board approved the
recommendations passed by the constituted committee in
its meeting held on 10.02.2009 with minor modifications.
It was decided to conduct Polytechnic Admission Test
(PAT) in four subjects i.e. Mathematics, Physics,
Chemistry and English. There would be single question
paper of three hours duration as per the previous
practice . The detail of the number of questions to be
asked is given herein as under:
1.
Mathematics = 50 Questions
2. Physics = 50 Questions
3. Chemistry = 30 Questions
4. English = 20 Questions
Total = 150 questions.
The Matriculation syllabus as prescribed
by H.P.Board of School Education from the year 2008 in
the subjects of Mathematics, Physics, Chemistry and
English shall be adopted as per the details annexed at
Annexure-“R”.
The Board also approved the newly
designed PAT Brochure as annexed at Annexure “S”. It was
decided that the new PAT Brochure will have one Model
Test Paper comprising 150 questions, to acquaint the
students with the pattern and style of Question Booklet. |
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PAT REVISED
SYLLABUS
ENGLISH (As per 10th class Grammar
of H.P. Board of School Education) :-
A variety of
questions involving the use of particular structures
with a context. Text types used include cloze,
gap-filling, sentences-completion; sentence-reordering,
dialogue-completion and sentencetransformation (
including combining sentences). The Grammar syllabus
will include the following areas:
- Use of non-finites.
- Sentence connectors:
as since, while, then, just, because, just, unit.
- Causes with what,
where and how.
- Past Tense.
- Modals: can, could,
may, must, might.
PHYSICS
- Effects of current and Magnets: Potential,
Potential difference, Ohm’s law; Series combination of
resistors, parallel combination of resistors; Power
dissipation due to current; Inter relation between
P,V.I and R. Magnetic field, field lines, field due to
a current carrying wire, field due to current carrying
coil or solenoid; Force on current carrying conductor,
Fleming’s left hand rule. Electro magnetic induction.
Induced potential difference, induced current.
Alternating current,; frequency of AC, Advantage of AC
over DC. Domestic electric circuits.
- Natural Phenomena:
Convergence and divergence of
light. Images formed by a concave mirror; related
concepts; centre of curvature; principal axis. Optic
centre, focus, focal length.
- Refraction; laws
of refraction: Image formed by
a convex lens; functioning of a lens in human eye;
problems of vision and remedies. Applications of
spherical mirrors and lenses. Appreciations of concept
of refraction; velocity of light; refractive index
twinkling of stars; dispersion of light. Scattering of
light.
- Conservation of
natural resources: Managements
of natural resources. Conservation and judicious use
of natural resources. Forest and wild life, coal and
petroleum conservation. People’s participation. Chipko
movement. Legal perspectives in conservation and
international scenario.
- Source of Energy:
Different forms of energy, leading
to different sources for human use: fossil fuels,
solar energy, biogas, wind, water and tidal energy,
nuclear energy. Renewable versus non-renewable
sources.
CHEMISTRY
Unit-1 Chemical substances
(Nature & Behavior)
- Acid, Bases, and salts:
General properties, examples and uses.
- Chemical reactions:
Some important chemical compounds.
Types of chemical of
chemical reactions: combination, decomposition,
displacement, double displacement precipitation,
neutralization, oxidation and reduction in terms of gain
and loss of oxygen and hydrogen.
- Metals and Non-metals:-
Brief discussion of basic
metallurgical processes. Properties of common metals.
Elementary idea about.
- Carbon Compounds:- Carbon compounds,
elementary idea about bonding. Saturated hydrocarbons,
alcohols, carboxylic acids ( no preparation, only
properties).
Periodic
classification of elements:-
Gradations in properties
Mendeleev periodic table.
MATHEMATICS
- Euclid's
division lemma, Fundamental Theorem of
Arithmetic-statements
-
after reviewing work done earlier
and after illustrating and motivating through
examples. Proofs of results-irrationality of √2, √3,
√5, decimal expansions of rational numbers in terms
of terminating /nonterminating recurring decimals.
- Polynomials:-
Zeros of a polynomial.
Relationship between zeros and coefficients of a
polynomial with particular reference to
quadratic polynomials, Statement and
simple problems on division algorithm for
polynomials with real coefficients.
- Pair of
Linear Equations in Two Variables:-
Pair of
linear equations in two variables; Geometric
representation of different possibilities of
solutions inconsistency; Algebraic
conditions for number of solutions;
Solution of pair of linear equations in two
variables algebraically by substitution by
elimination and by cross multiplication; Simple
situational problems must be included; Simple
problems on equations reducible to linear
equations may be included.
- Quadratic
Equations:-
Standard
form of a quadratic equation ax2 + bx + c = 0,
(a ≠ 0). Solution of the quadratic equations
(only real roots) by factorization and by
completing the square, i.e by using quadratic
formula. Relationship between discriminate and
nature of roots. Problems related to day to day
activities to be incorporated.
- Arithmetic
Progression:- Motivation for
studying AP. Derivation of standard results of
finding the
nth term
and sum of first n terms.
-
Trigonometric Ratios:-
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° & 90°.
Values (with proofs) of the trigonometric
ratios of 30°, 45° & 60°. Relationships
between the ratios.
-
Trigonometric Identities:-
Prro
and applications of the identity sin2 A +
cos2 A = 1. Only simple identities to be
given. Trigonometric ratios of complementary
angles.
- Heights
and Distances:-
Simple
and believable problems on heights and
distances. Problems
should not
involve more than two right triangles.
Angles of
elevation /
depression should be only 30°, 45°, 60°.
- Lines
(in two dimensions):-
Review the concepts of coordinate
geometry done earlier including graphs
of linear equations. Awareness of
geometrical representation of quadratic
polynomials. Distance between two points
and section formula ( internal). Area of
a triangle.
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TRIANGLES:- Definitions,
examples, counter examples of
similar triangles.
-
If a line is drawn parallel to one
side of a triangle to intersect to
other two sides in distinct
points, the other two sides are
divided in the same ratio.
-
If a line divides two sides of a
triangle in the same ratio, the
line is parallel to the third
side.
-
If in two triangles, the
corresponding angles are equal,
their corresponding sides are
proportional and the triangles are
similar.
-
If the corresponding sides of two
triangles are proportional, their
corresponding angles are equal and
the two triangles are similar.
-
If one angles of a triangle is
equal to one angle of another
triangle and the sides including
these angles are proportional, the
two triangles are similar.
-
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.
-
The ratio of the areas of two
similar triangles is equal to the
ratio of the squares of their
corresponding sides.
-
In a right triangle, the square of
the hypotenuse is equal to the sum
of the squares on the other two
sides.
-
In a triangle, if the square of
one side is equal to the sum of
the squares on the other two
sides, the angles opposite to the
first side is a right triangle.
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CIRCLES:
Tangents to a circle motivated
by chords drawn from points
coming closer and closer and
closer to the point.
-
The tangent at any point of a
circle is perpendicular to the
radius through the point of
contact.
-
The lengths of tangents drawn
from an external point to
circle are equal.
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CONSTRUCTIONS:-
Division of a line segment
in a given ration
(internally).
Tangent to a circle from a
point outside it.
Construction of a triangle
similar to a given triangle.
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AREAS OF PLANE
FIGURES:-
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° & 120°
only. Plane figures
involving triangles,
simple quadrilaterals
and circle should be
taken).
-
SURFACE AREAS AND
VOLUMES:-
(i)
Problems on finding
surface areas and
volumes of combinations
of any two of the
following cubes,
cuboids, spheres,
hemispheres and right
circular cylinder,
cones. Frustum of a
cone.
(ii)
Problems involving
concerting one type of
metallic solid into
another and other mixed
problems. (Problems with
combination of not more
than two different
solids be taken)
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STATISTICS:-
Mean, median and
mode of grouped data
(bimodal situation
to be avoided).
Cumulative frequency
graph.
-
PROBABILITY:-
Classical definition
of probability.
Connection with
probability as given
in Class IX. Simple
problems on single
events, not using
set notation.
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