Mathematics ACT Grade 11
- Multiplying and Dividing Equivalent Fractions
- Reducing Fractions to Lowest Equivalent Form
- Adding and Subtracting Fractions with Different Denominators
- Multiplying Fractions
- Multiplying mixed numbers
- Multiplying Fractions by Whole Numbers
- Fractions of Whole numbers
- Finding reciprocals of fractions and mixed numbers
- Dividing fractions
- Dividing mixed numbers
- BODMAS
- Adding decimals with a different number of decimal places
- Subtracting decimals with a different number of places
- Multiplying decimals by single-digit numbers
- Dividing decimals by whole numbers
- Multiplication of decimals by decimals to two decimal places
- Dividing numbers by decimals
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Understanding percentages
- Changing fractions and decimals to percentages tenths and hundredths
- Changing Percentages to Fractions and Decimals
- One Quantity as a Percentage of Another
- Brain Teasers
- Algebraic Expressions
- Substitution into Algebraic Expressions
- Area of a Circle
- Area of Regular Polygons and Composite Figures
- Directed Numbers: Addition and Subtraction
- Directed Numbers: Multiplication and Division
- Simplifying Algebraic Expressions: Adding Like Terms
- Simplifying Algebraic Expressions: Subtracting Like Terms
- Adding indices when multiplying terms with the same base
- Subtracting indices when multiplying terms with the same base
- Multiplying indices when raising a power to a power
- Multiplying indices when raising to more than one term
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Measuring Angles
- Adjacent Angles
- Complementary and Supplementary Angles
- Simplifying Algebraic Expressions: Combining Addition and Subtraction
- Simplifying Algebraic Expressions: Multiplication
- Simplifying Algebraic Expressions: Division
- Expanding Algebraic Expressions: multiplication
- Expanding Algebraic Expressions: Negative multiplier
- Expanding and simplifying algebraic expressions
- Vertically Opposite Angles
- Angles at a Point
- Parallel Lines
- Additional questions involving parallel lines
- Solving Equations containing Addition and Subtraction
- Solving Equations containing Multiplication and Division
- Solving Two-Step Equations
- Solving Equations Containing Binomial Expressions
- Angle Sum of a Triangle
- Exterior angle theorem
- Special triangles
- Quadrilaterals
- Geometric Constructions
- Equations involving Grouping Symbols
- Equations involving Fractions
- Terms raised to the power of zero
- Congruent triangles: Tests 1 and 2
- Congruent triangles: Tests 3 and 4
- Proofs and Congruent Triangles
- Similar Triangles
- Using Similar Triangles to Calculate Lengths
- Examples involving overlapping triangles
- Negative Indices
- Fractional Indices
- Equations Resulting from Substitution into Formulae
- Changing the Subject of the Formula
- Inequalities
- Complex fractions as indices
- Scientific notation with larger numbers
- Scientific notation with small numbers
- The Circle: to find radii of circles
- The semicircle: to select the equation given the semicircle and vice versa
- Changing scientific notation to numerals
- Significant Figures
- The parabola: to describe properties of a parabola from its equation
- More difficult exercises involving parallel lines
- Further difficult exercises involving formal reasoning
- Angles of regular polygons
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Frequency Table
- Frequency histograms and polygons
- Relative Frequency
- The Range
- The Mode
- The Mean
- The Median
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Trigonometric Ratios
- Using the Calculator
- Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
- Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
- Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
- Unknown in the Denominator [Case 4]
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Bearings: The Compass
- Angles of Elevation and Depression
- Binomial Products
- Binomial products with negative multiplier
- Cumulative Frequency
- Calculating the Mean from a Frequency Distribution
- Trigonometric Ratios in Practical Situations
- Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
- Binomial Products (nonmonic)
- Squaring a Binomial (monic)
- Squaring a Binomial (nonmonic)
- Expansions Leading to the Difference of Two Squares
- Products in Simplification of Algebraic Expressions
- Larger Expansions
- Using the Calculator to Find an Angle Given a Trigonometric Ratio
- Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
- The Cosine Rule to find an unknown side [Case 1 SAS]
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Simple events
- Rolling a pair of dice
- Highest Common Factor
- Factorisation of Algebraic Fractions including Binomials
- Cancelling Binomial Factors in Algebraic Fractions
- Factors by Grouping
- Difference of Two Squares
- Common factor and the difference of two squares
- Quadratic Trinomials (monic): Case 1
- Quadratic Trinomials (monic): Case 2
- Quadratic Trinomials (monic): Case 3
- The Sine Rule to find an unknown side: Case 1
- The Sine Rule: Finding a Side
- The Sine Rule: Finding an Angle
- The Sine Area Formula for a Triangle
- Experimental probability
- Tree diagrams: depending on previous outcomes
- Matrices: basic concepts
- Addition and Subtraction of Matrices
- Scalar matrix: multiplication
- Multiplication of one matrix by another matrix
- Translation in the number plane
- Quadratic Trinomials (monic): Case 4
- Factorisation of nonmonic quadratic trinomials
- Factorisation of nonmonic quadratic trinomials: Moon method
- Sum and Difference of Two Cubes
- Simplifying Algebraic Fractions
- Special Transformations: Reflections, Rotations and Enlargements
- Translation by matrix multiplication
- Calculating median class from grouped data
- Measures of Spread
- Standard deviation applications
- Applications of Standard Deviation
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The Normal Distribution
- Measures of Spread: the interquartile range