NSW Year 10 - Stage 5.2
- Multiplying and dividing to obtain equivalent fractions.
- Reducing Fractions to Lowest Equivalent Form
- Comparing and ordering fractions greater than 1
- Subtracting Fractions from Whole Numbers
- Adding and Subtracting fractions with the same denominator
- Adding and Subtracting Fractions with Different Denominators
- Multiplying Fractions by Whole Numbers
- Multiplying Fractions
- Multiplying mixed numbers
- Finding reciprocals of fractions and mixed numbers
- Dividing fractions
- Dividing mixed numbers
- BODMAS
- Brain Teasers
- Solving Equations Containing Binomial Expressions
- Adding decimals to two decimal places
- Subtracting decimals to two decimal places
- Using decimals - shopping problems
- Using decimals to record length
- Decimals to three decimal places
- Adding decimals with a different number of decimal places
- Subtracting decimals with a different number of places
- Multiplication of decimals by decimals to two decimal places
- Dividing decimals by 10, 100 and 1000
- Dividing decimals by whole numbers
- 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
- Equations involving Grouping Symbols
- Equations involving Fractions
- Inequalities
- Simplifying Easy Algebraic Fractions
- Adding indices when multiplying terms with the same base
- Subtracting indices when dividing terms with the same base
- Multiplying indices when raising a power to a power
- Multiplying indices when raising to more than one term
- Terms raised to the power of zero
- Negative Indices
- Simplifying Algebraic Fractions Using the Index Laws
- Fractional Indices
- Scientific notation with larger numbers
- Scientific notation with small numbers
- Changing scientific notation to numerals
- Significant Figures
- 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
- Trigonometric Ratios in Practical Situations
- Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
- Using the Calculator to Find an Angle Given a Trigonometric Ratio
- Additional questions involving parallel lines
- Quadrilaterals
- Geometric Constructions
- Further difficult exercises involving formal reasoning
- Congruent triangles: Tests 1 and 2
- Congruent triangles: Tests 3 and 4
- Proofs and Congruent Triangles
- Using Similar Triangles to Calculate Lengths
- Examples involving overlapping triangles
- The Triangle Inequality Theorem
- Area of a Trapezium
- Area of a Rhombus
- Area of a Circle
- Area of Regular Polygons and Composite Figures
- Surface Area of a Cube/Rectangular Prism
- Surface Area of a Triangular/Trapezoidal Prism
- Surface Area of a Cylinder and Sphere
- Surface Area of Pyramids
- Surface Area of Cones
- Surface area of composite solids
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Volume of Pyramids and Cones
- Composite Solids
- The Distance Formula
- The Mid-Point Formula
- The Gradient
- The Gradient Formula
- The Straight Line
- Lines Through the Origin
- General Form of a Line and the x and y Intercepts
- Slope Intercept Form of a Line
- Point Slope Form of a Line
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Frequency Table
- Cumulative Frequency
- Calculating the Mean from a Frequency Distribution
- Experimental probability
- Tree diagrams: depending on previous outcomes