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OMPT-A Syllabus

Exam questions: 37
Exam time: 90 minutes

This course covers the topics shown below

Curriculum: 120 topics
Recommended study time: 60 hours*

Available language(s):

* This is an estimate and can differ per learner



Chapter 1: Numbers (17 topics)

  1. Integers (3 topics)
  1. Calculating with integers
  2. Integers
  3. Division of integers
  1. Negative numbers (1 topic)
  1. Absolute value
  1. Fractions (7 topics)
  1. Fractions
  2. Equivalent fractions
  3. Simplifying fractions
  4. Addition and subtraction of fractions
  5. Multiplication and division of fractions
  6. Integer powers of fractions
  7. Decimal numbers
  1. Powers and roots (6 topics)
  1. Exponents
  2. Calculating with powers
  3. Roots of integers
  4. Roots of fractions
  5. Standard notation of higher roots
  6. Order of operations for powers and roots

Chapter 2: Algebra (28 topics)

  1. Variables (6 topics)
  1. Variables
  2. Sum and product of variables
  3. Substitution
  4. Simplification of multiplications
  5. Simplification of additions and subtractions
  6. Simplification with algebraic rules
  1. Calculating with exponents and roots (7 topics)
  1. Integer powers
  2. Rules for calculating with integer exponents
  3. Square roots
  4. Rules for calculating with square roots
  5. Higher degree roots
  6. Calculating with fractional exponents
  7. Order of operations
  1. Expanding brackets (2 topics)
  1. Expanding single brackets
  2. Expanding double brackets
  1. Factorization (2 topics)
  1. Factorization
  2. Product sum method
  1. Notable products (2 topics)
  1. The square sum of a sum or a difference
  2. The difference of two squares
  1. Adding and subtracting fractions (9 topics)
  1. Fractions with variables
  2. Similar fractions
  3. Simplifying fractions
  4. Addition and subtraction of like fractions
  5. Making fractions similar
  6. Addition and subtraction of fractions
  7. Multiplication of fractions
  8. Division of fractions
  9. Fraction decomposition

Chapter 3: Linear formulas and equations (17 topics)

  1. Formulas (3 topics)
  1. Formulas
  2. Dependent and independent variables
  3. Graph of a formula
  1. Linear functions (6 topics)
  1. Linear formulas
  2. Slope
  3. Determining the slope from two points
  4. Intercept
  5. Composing a linear formula
  6. Parallel and intersecting linear formulas
  1. Linear equations and inequalities (5 topics)
  1. Linear equations
  2. Equivalent linear equations
  3. The general solution of a linear equation (rules of reduction)
  4. Intersection points of linear formulas with the axes
  5. Intersection point of two linear formulas

Chapter 4: System of linear equations (6 topics)

  1. An equation of a line (4 topics)
  1. A linear equation with two unknowns
  2. Solution of linear equations with two unknowns (rules of reduction)
  3. The equation of a line
  4. Composing the equation of a line
  1. Two equations with two unknowns (2 topics)
  1. Systems of linear equations
  2. Solving systems of linear equations by substitution

Chapter 5: Quadratic equations (17 topics)

  1. Parabola (3 topics)
  1. Quadratics
  2. Parabola
  3. Plotting the graph of the quadratic
  1. Solving quadratic equations (5 topics)
  1. Quadratic equations with two solutions
  2. Quadratic equations with one solution
  3. Quadratic equations with no solutions
  4. The quadratic formula and the discriminant
  5. Solving quadratic equations using the quadratic formula
  1. Drawing parabolas (7 topics)
  1. Intersection of parabolas with the axes
  2. Vertex of a parabola
  3. Determining the vertex by completing the square
  4. Determining the vertex by substitution
  5. Drawing of parabolas
  6. Transformations of parabolas
  7. Multiple transformations of parabolas
  1. Intersection points of parabolas (2 topics)
  1. Intersection points of a parabola with a line
  2. Intersection points of parabolas

Chapter 6: Functions (26 topics)

  1. Domain and range (6 topics)
  1. Function and formula
  2. Function rule
  3. Intervals
  4. Domain
  5. Limited domain
  6. Range
  1. Power functions (4 topics)
  1. Power functions
  2. Transformations of power functions
  3. Multiple transformations of power functions
  4. Equations with power functions
  1. Power functions and root functions (5 topics)
  1. Root functions
  2. Transformations of root functions (upwards, to the right, and relative to the x-axis)
  3. Multiple transformations of root functions
  4. Root equations
  5. Solving root equations with substitution
  1. Fractional functions (11 topics)
  1. Asymptotes and hyperbolas
  2. Power functions with negative exponents
  3. Transformations of power functions with negative exponents (upwards, to the right, and relative to the x-axis)
  4. Linear fractional functions
  5. Determining asymptotes of a linear fractional function
  6. Linear fractional equations
  7. Solving linear fractional equations by cross multiplication
  8. Inverse of linear fractional functions
  9. Isolating a variable when determining the inverse
  10. Quotient functions
  11. Perforation

Chapter 7: Exponential functions and logarithms (14 topics)

  1. Exponential functions (3 topics)
  1. The exponential function
  2. Exponential equations
  3. Transformations of the exponential function (upwards, to the right, and relative to the y-axis)
  1. Logarithmic functions (11 topics)
  1. The logarithmic function
  2. Logarithmic equations
  3. Exponential equations
  4. Isolating variables
  5. Rules for solving logarithms
  6. Solving logarithmic equations with calculation rules and the quadratic formula
  7. Change of base
  8. Solving logarithmic equations using substitution
  9. Solving exponential equations using substitution
  10. Graph of logarithmic functions
  11. Transformations of the logarithmic function (upwards, to the right, and relative to the x-axis)
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