Mathematics NSW General Preliminary Year 11
-
Frequency Table
- Frequency histograms and polygons
- Relative Frequency
- The Range
- The Mode
- The Mean
- The Median
- Cumulative Frequency
- Calculating the Mean from a Frequency Distribution
- Stem and Leaf Plots along with Box and Whisker Plots
-
Finding the Area of a Triangle and Other Composite Shapes
- Larger Areas: Square Metre, Hectare, Square Kilometre
- Area of a Trapezium
- Area of a Rhombus
- Area of a Circle
- Surface Area of a Cube/Rectangular Prism
- Surface Area of a Triangular/Trapezoidal Prism
- Surface Area of Pyramids
- Converting between the formal measures
- The Tonne
- Finding the volume of prisms
- Volume of a Cylinder and Sphere
-
Volume of Pyramids and Cones
- Pythagoras' Theorem: Finding the Hypotenuse
- Using Pythagorean Triples to Identify Right Triangles
- Calculating the Hypotenuse of a right-angled Triangle
- Calculating a Leg of a right-angled Triangle
-
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]
-
Bearings: The Compass
- Angles of Elevation and Depression
- Trigonometric Ratios in Practical Situations
- Using the Calculator to Find an Angle Given a Trigonometric Ratio
- Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
- Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
- Scientific notation with larger numbers
- Scientific notation with small numbers
- Changing scientific notation to numerals
- Significant Figures
- Expanding Algebraic Expressions: Negative multiplier
- Expanding and simplifying algebraic expressions
- Products in Simplification of Algebraic Expressions
- Solving Two-Step Equations
- Solving Equations Containing Binomial Expressions
- Equations involving Grouping Symbols
- Equations involving Fractions
- Simplifying Easy Algebraic Fractions
- Simplifying Algebraic Fractions Using the Index Laws
- Equations Resulting from Substitution into Formulae
- Simultaneous Equations
- The Straight Line
- Lines Through the Origin
- Slope Intercept Form of a Line
- Intercept form of a straight line: find the equation when given x and y
- Similar Triangles
- Using Similar Triangles to Calculate Lengths
- Examples involving overlapping triangles
-
Simple events
- Rolling a pair of dice
- Experimental probability
- The Complementary Result Ã
- P[A or B] When A and B are NOT Mutually Exclusive
- Compound Interest