2017 Syllabus 10 Mathematics
2017 Syllabus 10 Mathematics
2017 Syllabus 10 Mathematics
Units
Marks
NUMBER SYSTEMS
11
II
ALGEBRA
23
III
GEOMETRY
17
IV
TRIGONOMETRY
22
STATISTICS
17
Total
90
(15) Periods
POLYNOMIALS
(7) Periods
2.
(15) Periods
(15) Periods
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.
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4.
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.
6.
(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.
7.
(Prove) The ratio of the areas of two similar triangles is equal to the ratio of the
squares of their corresponding sides.
8.
(Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the
squares on the other two sides.
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 angle.
INTRODUCTION TO TRIGONOMETRY
(10) Periods
2.
TRIGONOMETRIC IDENTITIES
(15) Periods
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be
given. Trigonometric ratios of complementary angles.
(18) Periods
Marks
II
ALGEBRA (Contd.)
23
III
GEOMETRY (Contd.
17
IV
TRIGONOMETRY (Contd.)
08
PROBABILITY
08
VI
COORDINATE GEOMETRY
11
VII
MENSURATION
23
Total
90
123
QUADRATIC EQUATIONS
(15) Periods
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.
(8) Periods
CIRCLES
(8) Periods
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.
3.
CONSTRUCTIONS
1.
2.
3.
(8) Periods
(8) Periods
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.
(10) Periods
Classical definition of probability. Simple problems on single events (not using set
notation).
124
(14) Periods
(12) 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 120 only. Plane figures involving triangles, simple quadrilaterals
and circle should be taken.)
2.
(i)
Surface areas and volumes of combinations of any two of the following: cubes,
cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone.
(ii)
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.)
(12) Periods
PRESCRIBED BOOKS:
1.
2.
3.
4.
5.
6.
7.
8.
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Time: 3 Hours
Typology of Questions
Marks: 90
Very
Short
Short
AnswerAnswer
I
(VSA)
(SA)
(1 Mark)
(2
Short
AnswerII
(SA)
Long
Answer
(LA)
(4
(3
Marks)
Total
Marks
%
Weightage
Marks)
Marks)
23
26%
23
26%
22
24%
14
16%
2*
4x1=4
6x2=12
10x3=
11x4=
90
30
44
*One of the LA (4 marks) will be to assess the values inherent in the texts.
126
8%
100%