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3.13 Probability Concepts - Just Added!
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Quick Maths
Home
9MATE
01 Algebra Skills
L.O. 1: BEDMAS
L.O. 2: Integers I
L.O. 3: Integers II
L.O. 4: Fractions I
L.O. 5: Fractions II
L.O. 6: Applying Fractions, Percentages and Decimals
L.O. 7: Introducing Algebraic Expressions
L.O. 8: Adding and Subtracting with Algebra
L.O. 9: Multiplying with Algebra
L.O. 10: Dividing with Algebra
L.O. 11: Algebra Fractions
L.O. 12: BEDMAS with algebra
L.O. 13: Substitution
L.O. 14: Expanding I (Single Brackets)
L.O. 15: Factorising I (Single Brackets)
L.O. 16: Expanding II (Double Brackets)
L.O. 17: Expanding III (Special & Co-Efficient)
L.O. 18: Factorising II (Double Brackets)
L.O. 19: Factorising III (Special)
L.O. 21: Factorising to Simplify
L.O. 22: Power of Zero
L.O. 23: Basic Power Rules (Multiplying, Dividing, Brackets)
L.O. 24: Negative Powers
L.O. 25: Fractional Powers
L.O. 26: Surds
02 Algebra Solving
L.O. 1: Introducing Algebraic Equations
L.O. 2: One-Step Equations
L.O. 3: Two-Step Equations
L.O. 4: Variables on Both Sides
L.O. 5: Fractions
L.O. 6: Re-Arranging Equations
L.O. 7: Introducing Quadratic Equations
L.O. 8: Factorised
L.O. 9: Unfactorised
L.O. 10: Simplifying Needed
L.O. 11: Quadratics in Action
03 Algebra Graphs
L.O. 1: Plotting Co-Ordinates
L.O. 2: Equations, Tables and Graphs
L.O. 3: Observing and Extrapolating Patterns
L.O. 4: Forming Equations (from tables)
L.O. 5: Drawing Graph (from equation)
L.O. 6: Forming Equations (from graphs)
L.O. 7: X- and Y-Intercepts
L.O. 8: Special Lines
L.O. 9: Two Intersecting Lines
L.O. 10: Problem-Solving
L.O. 11: Drawing Parabolas
L.O. 12 Vertex Method
L.O. 13: Factorised Method
L.O. 14: X- and Y-Intercepts
L.O. 15: Vertex
L.O. 16: Translating Parabolas
L.O. 17: Optimal Solutions
04 Geometry and Transformations
L.O. 1: Introducing Angles
L.O. 2: Basic Angle Properties
L.O. 3: Parallel Line Angle Properties
L.O. 4: Triangles
L.O. 5: Polygons
L.O. 6: Regular Polygons
L.O. 7: Exterior Angles
L.O. 8: Bearings
L.O. 9: Reflection
L.O. 10: Rotation
L.O. 11: Translation
L.O. 12: Introduction to Enlargement
L.O. 13: Point of Enlargement
L.O. 14: Fractional and Negative Scale Factors
05 Right-Angled Triangles
L.O. 1: Understanding Triangles
L.O. 2: Pythagoras' Theory (Long)
L.O. 3: Pythagoras' Theory (Short)
L.O. 4: Trigonometry (Sides)
L.O. 5: Trigonometry (Angles)
L.O. 6: 3D Pythagoras' Theory
L.O. 7: 3D Trigonometry
L.O. 8: Proving right-angled triangles
L.O. 9: Integrating Algebra
L.O. 10: Multi-Step Problems
06 Measurement
L.O. 1: Converting Between Units
L.O. 2: Perimeter I (Straight edges only)
L.O. 3: Perimeter II (Circles)
L.O. 4: Area I (Basic Shapes)
L.O. 5: Area II (Circles)
L.O. 6: Area III (Composite Shapes)
L.O. 7: Area IV (Nets)
L.O. 8: Area V (Surface Area)
L.O. 9: Area VI (Area Conversion)
L.O. 10: Volume I (Prisms)
L.O. 11: Volume II (Cones and Pyramids)
L.O. 12: Volume III (Spheres)
L.O. 13: Volume IV (Composite Shapes)
L.O. 14: Volume V (Unit Conversion)
L.O. 15: Area of Regular Polygons
L.O. 16: Modelling & Estimates
L.O. 17: Temperature
07 Probability
L.O. 1: Tools of Chance
L.O. 2: Notation
L.O. 3: Basic Probability
L.O. 4: Sample Space
L.O. 5: Expected Number
L.O. 6: Expected Value
L.O. 7: Graphs & Tables
L.O. 8: Two-Way Tables
L.O. 9: Venn Diagrams
L.O. 10: Probability Trees (independent events only)
L.O. 11: Probability Trees (conditional events)
L.O. 12: Theoretical v Experimental Probabilities
L.O. 13: Capture-Recapture
08 Statistics
L.O. 1: Mean, Median, Mode
L.O. 2: Interquartile Range
L.O. 3: Interpreting Statistical Displays
L.O. 4: Box-and-Whisker Graphs
L.O. 5: Scatter Plots
L.O. 6: TARSOG
L.O. 7: Time Series
L.O. 8: Dot Plots
L.O. 9: Misleading Graphs
NCEA Exam Resources
1.2 Algebra (MCAT)
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
2.6 Algebraic Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
2.7 Calculus
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
AS91267: 2.12 Probability Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
L.O. 1: Introducing Normal Distribution
L.O. 2: Z-Values Explained
L.O. 3: ND Drawing Graphs
L.O. 4: ND Probabilities
L.O. 5: ND Inverse - Finding X
L.O. 6: ND Inverse - Finding the mean
L.O. 7: ND Inverse - Finding the standard deviation
L.O. 8: ND Inverse - Mean & SD Simultaneously
AS91585: 3.13 Probability Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
AS91586: 3.14 Probability Distributions
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
Archived (Old NCEA)
1.3 Tables, Equations and Graphs
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
1.6 Geometric Reasoning
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
1.12 Chance & Data
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
Quick Maths
Home
9MATE
01 Algebra Skills
L.O. 1: BEDMAS
L.O. 2: Integers I
L.O. 3: Integers II
L.O. 4: Fractions I
L.O. 5: Fractions II
L.O. 6: Applying Fractions, Percentages and Decimals
L.O. 7: Introducing Algebraic Expressions
L.O. 8: Adding and Subtracting with Algebra
L.O. 9: Multiplying with Algebra
L.O. 10: Dividing with Algebra
L.O. 11: Algebra Fractions
L.O. 12: BEDMAS with algebra
L.O. 13: Substitution
L.O. 14: Expanding I (Single Brackets)
L.O. 15: Factorising I (Single Brackets)
L.O. 16: Expanding II (Double Brackets)
L.O. 17: Expanding III (Special & Co-Efficient)
L.O. 18: Factorising II (Double Brackets)
L.O. 19: Factorising III (Special)
L.O. 21: Factorising to Simplify
L.O. 22: Power of Zero
L.O. 23: Basic Power Rules (Multiplying, Dividing, Brackets)
L.O. 24: Negative Powers
L.O. 25: Fractional Powers
L.O. 26: Surds
02 Algebra Solving
L.O. 1: Introducing Algebraic Equations
L.O. 2: One-Step Equations
L.O. 3: Two-Step Equations
L.O. 4: Variables on Both Sides
L.O. 5: Fractions
L.O. 6: Re-Arranging Equations
L.O. 7: Introducing Quadratic Equations
L.O. 8: Factorised
L.O. 9: Unfactorised
L.O. 10: Simplifying Needed
L.O. 11: Quadratics in Action
03 Algebra Graphs
L.O. 1: Plotting Co-Ordinates
L.O. 2: Equations, Tables and Graphs
L.O. 3: Observing and Extrapolating Patterns
L.O. 4: Forming Equations (from tables)
L.O. 5: Drawing Graph (from equation)
L.O. 6: Forming Equations (from graphs)
L.O. 7: X- and Y-Intercepts
L.O. 8: Special Lines
L.O. 9: Two Intersecting Lines
L.O. 10: Problem-Solving
L.O. 11: Drawing Parabolas
L.O. 12 Vertex Method
L.O. 13: Factorised Method
L.O. 14: X- and Y-Intercepts
L.O. 15: Vertex
L.O. 16: Translating Parabolas
L.O. 17: Optimal Solutions
04 Geometry and Transformations
L.O. 1: Introducing Angles
L.O. 2: Basic Angle Properties
L.O. 3: Parallel Line Angle Properties
L.O. 4: Triangles
L.O. 5: Polygons
L.O. 6: Regular Polygons
L.O. 7: Exterior Angles
L.O. 8: Bearings
L.O. 9: Reflection
L.O. 10: Rotation
L.O. 11: Translation
L.O. 12: Introduction to Enlargement
L.O. 13: Point of Enlargement
L.O. 14: Fractional and Negative Scale Factors
05 Right-Angled Triangles
L.O. 1: Understanding Triangles
L.O. 2: Pythagoras' Theory (Long)
L.O. 3: Pythagoras' Theory (Short)
L.O. 4: Trigonometry (Sides)
L.O. 5: Trigonometry (Angles)
L.O. 6: 3D Pythagoras' Theory
L.O. 7: 3D Trigonometry
L.O. 8: Proving right-angled triangles
L.O. 9: Integrating Algebra
L.O. 10: Multi-Step Problems
06 Measurement
L.O. 1: Converting Between Units
L.O. 2: Perimeter I (Straight edges only)
L.O. 3: Perimeter II (Circles)
L.O. 4: Area I (Basic Shapes)
L.O. 5: Area II (Circles)
L.O. 6: Area III (Composite Shapes)
L.O. 7: Area IV (Nets)
L.O. 8: Area V (Surface Area)
L.O. 9: Area VI (Area Conversion)
L.O. 10: Volume I (Prisms)
L.O. 11: Volume II (Cones and Pyramids)
L.O. 12: Volume III (Spheres)
L.O. 13: Volume IV (Composite Shapes)
L.O. 14: Volume V (Unit Conversion)
L.O. 15: Area of Regular Polygons
L.O. 16: Modelling & Estimates
L.O. 17: Temperature
07 Probability
L.O. 1: Tools of Chance
L.O. 2: Notation
L.O. 3: Basic Probability
L.O. 4: Sample Space
L.O. 5: Expected Number
L.O. 6: Expected Value
L.O. 7: Graphs & Tables
L.O. 8: Two-Way Tables
L.O. 9: Venn Diagrams
L.O. 10: Probability Trees (independent events only)
L.O. 11: Probability Trees (conditional events)
L.O. 12: Theoretical v Experimental Probabilities
L.O. 13: Capture-Recapture
08 Statistics
L.O. 1: Mean, Median, Mode
L.O. 2: Interquartile Range
L.O. 3: Interpreting Statistical Displays
L.O. 4: Box-and-Whisker Graphs
L.O. 5: Scatter Plots
L.O. 6: TARSOG
L.O. 7: Time Series
L.O. 8: Dot Plots
L.O. 9: Misleading Graphs
NCEA Exam Resources
1.2 Algebra (MCAT)
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
2.6 Algebraic Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
2.7 Calculus
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
AS91267: 2.12 Probability Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
L.O. 1: Introducing Normal Distribution
L.O. 2: Z-Values Explained
L.O. 3: ND Drawing Graphs
L.O. 4: ND Probabilities
L.O. 5: ND Inverse - Finding X
L.O. 6: ND Inverse - Finding the mean
L.O. 7: ND Inverse - Finding the standard deviation
L.O. 8: ND Inverse - Mean & SD Simultaneously
AS91585: 3.13 Probability Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
AS91586: 3.14 Probability Distributions
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
Archived (Old NCEA)
1.3 Tables, Equations and Graphs
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
1.6 Geometric Reasoning
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
1.12 Chance & Data
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
More
Home
9MATE
01 Algebra Skills
L.O. 1: BEDMAS
L.O. 2: Integers I
L.O. 3: Integers II
L.O. 4: Fractions I
L.O. 5: Fractions II
L.O. 6: Applying Fractions, Percentages and Decimals
L.O. 7: Introducing Algebraic Expressions
L.O. 8: Adding and Subtracting with Algebra
L.O. 9: Multiplying with Algebra
L.O. 10: Dividing with Algebra
L.O. 11: Algebra Fractions
L.O. 12: BEDMAS with algebra
L.O. 13: Substitution
L.O. 14: Expanding I (Single Brackets)
L.O. 15: Factorising I (Single Brackets)
L.O. 16: Expanding II (Double Brackets)
L.O. 17: Expanding III (Special & Co-Efficient)
L.O. 18: Factorising II (Double Brackets)
L.O. 19: Factorising III (Special)
L.O. 21: Factorising to Simplify
L.O. 22: Power of Zero
L.O. 23: Basic Power Rules (Multiplying, Dividing, Brackets)
L.O. 24: Negative Powers
L.O. 25: Fractional Powers
L.O. 26: Surds
02 Algebra Solving
L.O. 1: Introducing Algebraic Equations
L.O. 2: One-Step Equations
L.O. 3: Two-Step Equations
L.O. 4: Variables on Both Sides
L.O. 5: Fractions
L.O. 6: Re-Arranging Equations
L.O. 7: Introducing Quadratic Equations
L.O. 8: Factorised
L.O. 9: Unfactorised
L.O. 10: Simplifying Needed
L.O. 11: Quadratics in Action
03 Algebra Graphs
L.O. 1: Plotting Co-Ordinates
L.O. 2: Equations, Tables and Graphs
L.O. 3: Observing and Extrapolating Patterns
L.O. 4: Forming Equations (from tables)
L.O. 5: Drawing Graph (from equation)
L.O. 6: Forming Equations (from graphs)
L.O. 7: X- and Y-Intercepts
L.O. 8: Special Lines
L.O. 9: Two Intersecting Lines
L.O. 10: Problem-Solving
L.O. 11: Drawing Parabolas
L.O. 12 Vertex Method
L.O. 13: Factorised Method
L.O. 14: X- and Y-Intercepts
L.O. 15: Vertex
L.O. 16: Translating Parabolas
L.O. 17: Optimal Solutions
04 Geometry and Transformations
L.O. 1: Introducing Angles
L.O. 2: Basic Angle Properties
L.O. 3: Parallel Line Angle Properties
L.O. 4: Triangles
L.O. 5: Polygons
L.O. 6: Regular Polygons
L.O. 7: Exterior Angles
L.O. 8: Bearings
L.O. 9: Reflection
L.O. 10: Rotation
L.O. 11: Translation
L.O. 12: Introduction to Enlargement
L.O. 13: Point of Enlargement
L.O. 14: Fractional and Negative Scale Factors
05 Right-Angled Triangles
L.O. 1: Understanding Triangles
L.O. 2: Pythagoras' Theory (Long)
L.O. 3: Pythagoras' Theory (Short)
L.O. 4: Trigonometry (Sides)
L.O. 5: Trigonometry (Angles)
L.O. 6: 3D Pythagoras' Theory
L.O. 7: 3D Trigonometry
L.O. 8: Proving right-angled triangles
L.O. 9: Integrating Algebra
L.O. 10: Multi-Step Problems
06 Measurement
L.O. 1: Converting Between Units
L.O. 2: Perimeter I (Straight edges only)
L.O. 3: Perimeter II (Circles)
L.O. 4: Area I (Basic Shapes)
L.O. 5: Area II (Circles)
L.O. 6: Area III (Composite Shapes)
L.O. 7: Area IV (Nets)
L.O. 8: Area V (Surface Area)
L.O. 9: Area VI (Area Conversion)
L.O. 10: Volume I (Prisms)
L.O. 11: Volume II (Cones and Pyramids)
L.O. 12: Volume III (Spheres)
L.O. 13: Volume IV (Composite Shapes)
L.O. 14: Volume V (Unit Conversion)
L.O. 15: Area of Regular Polygons
L.O. 16: Modelling & Estimates
L.O. 17: Temperature
07 Probability
L.O. 1: Tools of Chance
L.O. 2: Notation
L.O. 3: Basic Probability
L.O. 4: Sample Space
L.O. 5: Expected Number
L.O. 6: Expected Value
L.O. 7: Graphs & Tables
L.O. 8: Two-Way Tables
L.O. 9: Venn Diagrams
L.O. 10: Probability Trees (independent events only)
L.O. 11: Probability Trees (conditional events)
L.O. 12: Theoretical v Experimental Probabilities
L.O. 13: Capture-Recapture
08 Statistics
L.O. 1: Mean, Median, Mode
L.O. 2: Interquartile Range
L.O. 3: Interpreting Statistical Displays
L.O. 4: Box-and-Whisker Graphs
L.O. 5: Scatter Plots
L.O. 6: TARSOG
L.O. 7: Time Series
L.O. 8: Dot Plots
L.O. 9: Misleading Graphs
NCEA Exam Resources
1.2 Algebra (MCAT)
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
2.6 Algebraic Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
2.7 Calculus
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
AS91267: 2.12 Probability Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
L.O. 1: Introducing Normal Distribution
L.O. 2: Z-Values Explained
L.O. 3: ND Drawing Graphs
L.O. 4: ND Probabilities
L.O. 5: ND Inverse - Finding X
L.O. 6: ND Inverse - Finding the mean
L.O. 7: ND Inverse - Finding the standard deviation
L.O. 8: ND Inverse - Mean & SD Simultaneously
AS91585: 3.13 Probability Concepts
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
AS91586: 3.14 Probability Distributions
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
Archived (Old NCEA)
1.3 Tables, Equations and Graphs
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
1.6 Geometric Reasoning
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
1.12 Chance & Data
E.R. 1: Achieved Focus
E.R. 2: Merit Focus
E.R. 3: Excellence Focus
AS91262:
2.7 Calculus
:
Excellence
Focus
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These questions come from the 2015 to 2020 external examinations for 2.7 Calculus Methods, written by and copyrighted by NZQA. Please visit there website here:
https://www.nzqa.govt.nz/
.Â
2015 Examination
2016 Examination
2017 Examination
2018 Examination
201
9
Examination
20
20
Examination
202
1
Examination
202
2
Examination
202
3
Examination
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