A Level Maths

Tom Carpenter, May 11, 2017

Worksheets I use to help teach post 16 mathematics

Table of Contents

  1. Algebra
    1. Factorising Quadratics
    2. Non-Linear Simultaneous Equations
    3. Calculating with Surds
    4. 2 Points
    5. Equation of a Circle
    6. Calculations with Polynomials
    7. Binomial Expansion
    8. Arithmetic Sequence
    9. Geometric Sequence
    10. Log Modelling
  2. Calculus
    1. Differentiation by First Principles
    2. Finding Differentiaton Rules
    3. Derivative Graphs
    4. Basic Differentiation
    5. Finding Integrals
    6. Basic Integration
    7. Area between 2 Lines
  3. Trigonometry
  4. Statistics
    1. Sketch a Cumulative Frequency Curve
    2. Cumulative Frequency v Histogram v Box Plot
    3. Using Frequency Tables
    4. Finding E(X) and Var(X)
    5. Combinations and Permutations
    6. Binomial Distribution
    7. Hypothesis Testing
  5. Mechanics
    1. Velocity-Time Graph
    2. Projectile Motion
    3. Newton's 2nd Law in 2D
    4. General Equations

1.

Algebra

  • 1. Factorising Quadratics
  • 2. Non-Linear Simultaneous Equations
  • 3. Calculating with Surds
  • 4. 2 Points
  • 5. Equation of a Circle
  • 6. Calculations with Polynomials
  • 7. Binomial Expansion
  • 8. Arithmetic Sequence
  • 9. Geometric Sequence
  • 10. Log Modelling

1.1.

Factorising Quadratics

Questions
– Tom Carpenter

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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1.10.

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2.

Calculus

  • 1. Differentiation by First Principles
  • 2. Finding Differentiaton Rules
  • 3. Derivative Graphs
  • 4. Basic Differentiation
  • 5. Finding Integrals
  • 6. Basic Integration
  • 7. Area between 2 Lines

2.1.

Differentiation by First Principles

– Tom Carpenter

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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3.

Trigonometry


    This chapter does not contain any resources yet.

4.

Statistics

  • 1. Sketch a Cumulative Frequency Curve
  • 2. Cumulative Frequency v Histogram v Box Plot
  • 3. Using Frequency Tables
  • 4. Finding E(X) and Var(X)
  • 5. Combinations and Permutations
  • 6. Binomial Distribution
  • 7. Hypothesis Testing

4.1.

Sketch a Cumulative Frequency Curve

Instructions
1. Select the pen tool from the tool bar and draw a cumulative frequency curve on the top axes free-hand, thus replacing the existing one (Note: The curve needs to start and finish in the same place as the existing one) The bar-chart and histogram will be automatically updated to be equivalent to the curve.[br]2. Adjust the slider to select the number of groups for your histogram.[br]
Key Questioning
How could you draw a distribution with positive/negative skew?[br]How could you draw a distribution with large/small inter-quartile range?[br]How could you draw a bi-modal distribution?
– Tom Carpenter

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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5.

Mechanics

  • 1. Velocity-Time Graph
  • 2. Projectile Motion
  • 3. Newton's 2nd Law in 2D
  • 4. General Equations

5.1.

Velocity-Time Graph

– Tom Carpenter

5.2.

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5.3.

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Information