| |
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).
* Mean by all 3 methods included:
Direct : ?f?fx Short-cut : A x d where?f?fdA ? = + Step-deviation:At where?fxi?ftA ?= +
(c) Empirical and classical definition of probability. Simple problems on single events.
Note: SI units, signs, symbols and abbreviations
(1) Agreed conventions
(a) Units may be written in full or using the agreed symbols, but no other abbreviation may be used.
(b) The letter ‘s' is never added to symbols to indicate the plural form.
(c) A full stop is not written after symbols for units unless it occurs at the end of asentence.
(d) When unit symbols are combined as a quotient, e.g. metre per second, it is recommended that they be written as m/s, or as ms-1.
(e) Three decimal signs are in common international use: the full point, the mid-point
and the comma. Since the full point is sometimes used for multiplication and the
comma for spacing digits in large numbers, it is recommended that the mid-point be used for decimals.
-----------------------------------------------------------------------------------------------------------------
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
More
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
(iv) Reflection
More
Geometry
(i) Symmetry
(ii) Similarity
More
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
More
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°
More
|
|
