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O Level Mathematics

Here’s a compilation of the O Level Mathematics resources to help you with your revision.

Topics Tested in O Level Mathematics

Section 1: Numbers

  1. Prime Numbers
    • prime numbers
    • prime factorisation
    • Applying prime factorisation to LCM, HCF, square roots and cube roots
  2. Numbers and the number line
    • Negative and positive numbers
    • integers
    • rational and irrational numbers
    • representing numbers on the number line
    • inequalities and representing them on the number line
  3. Approximation and rounding off
  4. Standard form
  5. Ratio and Proportion
    • ratios involving rational numbers
    • writing ratios in simplest forms
    • maps (distance and area)
    • direct and inverse proportion
  6. Percentage
    • expressing something as a percentage of another
    • comparing percentages
    • increase/ decrease
    • reverse percentage
    • simple and compound interests
  7. Rate and Speed
    • rate and speed problems
    • conversions between different units of speed/ rate
  8. Indices
    • positive, negative, fractional and zero indices
    • laws of indices
  9. Set language and notation
    • understanding set notation
    • Venn diagram
  10. Matrices
    • display information in matrice
    • interpret data in matrices
    • product of a scalar and a matrice
    • product of matrices
    • problem sums involving matrices

Section 2: Algebra

  1. Basic operation of algebra
  2. Evaluation of algebraic expressions and formulae
  3. Using algebra to represent nth term of a number pattern
  4. Simplify algebraic expressions
  5. Factorisation:
    • extract common factors
    • factorisation (4 terms expression)
    • by using common formula for expansion
    • factorisation of quadratic expressions
  6. Expansion of algebraic expressions
  7. Multiplication and division of algebraic expressions
  8. Simplify addition and subtraction of algebraic fractions into a single fraction
  9. Graphs
    • Cartesian coordinates in two dimensions
    • Gradient, y-intercepts and x- intercepts
    • linear functions
    • quadratic functions, their properties, and sketching
    • graphs of power functions
    • graphs of exponential functions
    • drawing tangents of curve to estimate gradient
  10. Coordinate Geometry
    • Finding gradient of straight lines
    • Length between two points
    • Midpoints
    • Finding equation of straight lines
  11. Solving equations
    • Linear algebraic equations
    • Solve linear simultaneous equations
    • Solving quadratic equations
    • Problem sums involving linear and quadratic equations
  12. Solving equations graphically
  13. Inequalities
    • Solving inequalities

Section 3: Geometry and Measurement

  1. Conversion of units: cm2 and m2 , and between cm3 and m3
  2. Congruent figures
  3. Similar figures
  4. Ratio of length, area and volume of similar figures
  5. Construct perpendicular bisector and angle bisector
  6. Triangles:
    • Angle properties
    • Pythagoras’ theorem, and trigonometric ratios
    • Other formulae to find length/ angle of triangles
    • finding area and perimeter of triangles
    • constructing triangles
  7. Parallelograms, rhombuses and trapeziums
    • properties
    • finding area and perimeter
  8. Circles:
    • symmetry and angle properties of circles
    • radian and degrees conversion
    • arc length, sector area and area of a segment of a circle
  9. Volume and surface area of 3-D figures:
    • cube, cuboid, prism, cylinder, pyramid, cone, and sphere
  10. Vectors
    • Various forms of representing vectors
    • vector translation
    • magnitude of vectors
    • sum and differences of vectors
    • parallel and collinear vectors

Section 4: Statistics and Probability

  1. Data handling and analysis
    • Different ways of representing data and their advantages and disadvantages using
      • tables
      • bar graphs
      • pictograms
      • line graphs
      • pie charts
      • dot diagrams
      • histograms with equal class intervals
      • stem-and-leaf diagrams
      • cumulative frequency diagrams
    • mean, mode and median
    • quartiles and interquartile range
    • cumulative frequency curves and their interpretation
    • calculating mean and standard deviation
  2. Probability
    • probability of single events
    • probability of multiple events
    • drawing of tree diagrams
    • addition and multiplication of probabilities

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