Grade 10

10th grade Math

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
(iv) Shares and Dividends

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Algebra

(i) Linear Inequations Linear Inequations in one unknown for x ?
(ii) HCF and LCM of polynomials by factorization.
(iii) Quadratic Equations
(iv) Reflection
(v) Ratio and Proportion
(vi) Factorization

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Geometry

(i) Symmetry
(ii) Similarity
(iii) Loci
(iv) Circles
(v) Constructions

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Mensuration

Circle: Area and Perimeter. Direct application problems including Inner and Outer area types.
Three-dimensional solids including right circular cone and sphere:

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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)

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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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