E. Math: Levels and Topics Covered

Elementary Mathematics

Lower Secondary Level/ Middle School (Grade 7&8) 
  • Number systems (Number line, real numbers, HCF, LCM, square and cube roots)
  • Inequalities
  • Algebra (Simplifying linear/ fractional expressions, expansion, factorisation, algebraic rules, solving linear/fractional/ quadratic equations, changing subject, simultaneous equations)
  • Coordinate geometry (Gradient, vertical/ horizontal lines)
  • Graphs (Drawing of linear/ quadratic graphs)
  • Geometry (Types of angles and lines)
  • Construction (Angle and perpendicular bisector)
  • Mensuration (Area and perimeter of plane figures, volume and surface area of solids)
  • Percentages
  • Ratio, rate and speed 
  • Number patterns
  • Maps and scales, proportion (Ratio, direct and inverse proportion)
  • Similarity and congruency
  • Pythagoras' theorem
  • Sets language and notation
  • Statistics (Mean, median, mode, dot diagram, stem-and-leaf diagram, bar graph, pie chart, histogram, pictogram, ungrouped/ grouped data)
  • Probability
Upper Secondary Level/ Middle School (Grade 9&10)
  • Indices (Laws of indices, solving exponential equations)
  • Further Algebra (Completing the square, quadratic formula, problem sums)
  • Further Similarity and congruency (Rules of similarity and congruency, area and volume of similar figures) 
  • Further Quadratic graphs (Gradient of curve, graphical solutions, sketching of standard/ quadratic graphs)
  • Trigonometry (TOA, CAH, SOH, sine/ cosine rule, area of triangle)
  • Arc length and area of sector
  • Further Statistics (Cumulative frequency, box-and-whisker plot, mean and standard deviation)
  • Further coordinate geometry (Distance, gradient, equation of straight line)
  • Kinematics (Distance-Time/ Speed-Time graph)
  • Further probability (Possibility and tree diagram)
  • Vectors 
Note: the list above might not be exhaustive, kindly leave a comment should you require coaching with topics not in the above list.

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