Grade 10 - Mensuration

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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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
(ii) Similarity
(iii) Loci
(iv) Circles

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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:

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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.

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