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Mathematics ACT Grade 12
  1. Multiplying and Dividing Equivalent Fractions
  2. Reducing Fractions to Lowest Equivalent Form
  3. Adding and Subtracting Fractions with Different Denominators
  4. Multiplying Fractions
  5. Multiplying mixed numbers
  6. Multiplying Fractions by Whole Numbers
  7. Fractions of Whole numbers
  8. Finding reciprocals of fractions and mixed numbers
  9. Dividing fractions
  10. Dividing mixed numbers
  11. BODMAS
  12. Adding decimals with a different number of decimal places
  13. Subtracting decimals with a different number of places
  14. Multiplying decimals by single-digit numbers
  15. Dividing decimals by whole numbers
  16. Multiplication of decimals by decimals to two decimal places
  17. Dividing numbers by decimals
  18. Understanding percentages Samples
  19. Changing fractions and decimals to percentages tenths and hundredths
  20. Changing Percentages to Fractions and Decimals
  21. One Quantity as a Percentage of Another
  22. Brain Teasers
  23. Algebraic Expressions
  24. Substitution into Algebraic Expressions
  25. Directed Numbers: Addition and Subtraction
  26. Directed Numbers: Multiplication and Division
  27. Simplifying Algebraic Expressions: Adding Like Terms
  28. Simplifying Algebraic Expressions: Subtracting Like Terms
  29. Adding indices when multiplying terms with the same base
  30. Subtracting indices when multiplying terms with the same base
  31. Multiplying indices when raising a power to a power
  32. Multiplying indices when raising to more than one term
  33. Measuring Angles Samples
  34. Adjacent Angles
  35. Complementary and Supplementary Angles
  36. Simplifying Algebraic Expressions: Combining Addition and Subtraction
  37. Simplifying Algebraic Expressions: Multiplication
  38. Simplifying Algebraic Expressions: Division
  39. Expanding Algebraic Expressions: multiplication
  40. Expanding Algebraic Expressions: Negative multiplier
  41. Expanding and simplifying algebraic expressions
  42. Vertically Opposite Angles
  43. Angles at a Point
  44. Parallel Lines
  45. Additional questions involving parallel lines
  46. Solving Equations containing Addition and Subtraction
  47. Solving Equations containing Multiplication and Division
  48. Solving Two-Step Equations
  49. Solving Equations Containing Binomial Expressions
  50. Angle Sum of a Triangle
  51. Exterior angle theorem
  52. Special triangles
  53. Quadrilaterals
  54. Geometric Constructions
  55. Equations involving Grouping Symbols
  56. Equations involving Fractions
  57. Terms raised to the power of zero
  58. Congruent triangles: Tests 1 and 2
  59. Congruent triangles: Tests 3 and 4
  60. Proofs and Congruent Triangles
  61. Similar Triangles
  62. Using Similar Triangles to Calculate Lengths
  63. Examples involving overlapping triangles
  64. Negative Indices
  65. Fractional Indices
  66. Equations Resulting from Substitution into Formulae
  67. Changing the Subject of the Formula
  68. Inequalities
  69. Complex fractions as indices
  70. Scientific notation with larger numbers
  71. Scientific notation with small numbers
  72. The Circle: to find radii of circles
  73. The semicircle: to select the equation given the semicircle and vice versa
  74. Changing scientific notation to numerals
  75. Significant Figures
  76. The parabola: to describe properties of a parabola from its equation
  77. More difficult exercises involving parallel lines
  78. Further difficult exercises involving formal reasoning
  79. Angles of regular polygons
  80. Frequency Table Samples
  81. Frequency histograms and polygons
  82. Relative Frequency
  83. The Range
  84. The Mode
  85. The Mean
  86. The Median
  87. Trigonometric Ratios Samples
  88. Using the Calculator
  89. Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
  90. Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
  91. Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
  92. Unknown in the Denominator [Case 4]
  93. Bearings: The Compass Samples
  94. Angles of Elevation and Depression
  95. Binomial Products
  96. Binomial products with negative multiplier
  97. Cumulative Frequency
  98. Calculating the Mean from a Frequency Distribution
  99. Trigonometric Ratios in Practical Situations
  100. Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
  101. Binomial Products (nonmonic)
  102. Squaring a Binomial (monic)
  103. Squaring a Binomial (nonmonic)
  104. Expansions Leading to the Difference of Two Squares
  105. Products in Simplification of Algebraic Expressions
  106. Larger Expansions
  107. Using the Calculator to Find an Angle Given a Trigonometric Ratio
  108. Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
  109. The Cosine Rule to find an unknown side [Case 1 SAS]
  110. Simple events Samples
  111. Rolling a pair of dice
  112. Highest Common Factor
  113. Factors by Grouping
  114. Difference of Two Squares
  115. Common factor and the difference of two squares
  116. Quadratic Trinomials (monic): Case 1
  117. Quadratic Trinomials (monic): Case 2
  118. Quadratic Trinomials (monic): Case 3
  119. The Sine Rule to find an unknown side: Case 1
  120. The Sine Rule: Finding a Side
  121. The Sine Rule: Finding an Angle
  122. The Sine Area Formula for a Triangle
  123. Experimental probability
  124. Tree diagrams: depending on previous outcomes
  125. Matrices: basic concepts
  126. Addition and Subtraction of Matrices
  127. Scalar matrix: multiplication
  128. Multiplication of one matrix by another matrix
  129. Translation in the number plane
  130. Quadratic Trinomials (monic): Case 4
  131. Factorisation of nonmonic quadratic trinomials
  132. Factorisation of nonmonic quadratic trinomials: Moon method
  133. Sum and Difference of Two Cubes
  134. Simplifying Algebraic Fractions
  135. Special Transformations: Reflections, Rotations and Enlargements
  136. Translation by matrix multiplication
  137. Calculating median class from grouped data
  138. Measures of Spread
  139. Standard deviation applications
  140. Applications of Standard Deviation
  141. The Normal Distribution Samples
  142. Measures of Spread: the interquartile range

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