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Trigonometry
(a) Proof of and using Identities to solve/prove simple algebraic trigonometric expressions
sin2A + cos2 A = 1 ,1 + tan2A = sec2A ,1+cot2A = cosec2A; 0 ? A ? 90°
(b) Trigonometric ratios of complementary angles and direct application:
sin A = cos(90 - A), cos A = sin(90 – A)
tan A = cot (90 – A), cot A = tan (90- A)
sec A = cosec (90 – A), cosec A = sec(90 – A)
(c) Heights and distances: Solving 2-D problems involving angles of elevation and depression using trigonometric tables.
Note: Cases involving more than two right angled triangles excluded.
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Commercial Mathematics
(i) Compound Interest
(ii) Sales Tax and Value Added Tax Computation of tax including problems involving mark-ups, discounts, list-price, profit, loss, basic/cost price including inverse cases.
(iii) Banking
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Algebra
(i) Linear Inequations Linear Inequations in one unknown for x ? N, Z, R. Solving -
(ii) HCF and LCM of polynomials by factorization.
(iii) Quadratic Equations
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Geometry
(i) Symmetry
(a) Lines of symmetry of an isosceles triangle, equilateral triangle, rhombus, square, rectangle, pentagon, hexagon, octagon (all regular) and diamond-shaped figure.
(b) Being given a figure, to draw its lines of symmetry. Being given part of one of the
figures listed above to draw the rest of the figure based on the given lines of symmetry (neat recognizable free hand sketches acceptable).
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Mensuration
(a) Circle: Area and Perimeter. Direct application problems including Inner and Outer area types.
(b) Three-dimensional solids including right circular cone and sphere: Area (total surface and curved surface) and Volume. Direct application problems including those involving cost, Inner and Outer volume type, recasting or converting into another solid. Combination of two solids included. Note: Frustrum not included.
Areas of sectors of circles other than quarter-circle and semicircle not included.
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Statistics
(a) Graphical Representation: For grouped data (both continuous and discontinuous)
histograms, frequency polygons and ogives. Finding the mode from the histogram, the upper and lower Quartiles from the ogive, the median from the ogive.
(b) Computation of:
Measures of Central Tendency: Mean, median, mode for raw and arrayed data.
Mean*, median class and modal class for grouped data. (both continuous and
discontinuous).
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