1. Pure Mathematics 1

1.1 Quadratics

1.2 Functions

1.3 Coordinate geometry

1.4 Circular measure

1.5 Trigonometry

1.6 Series

1.7 Differentiation

1.8 Integration

3. Pure Mathematics 3

3.2 Logarithmic and exponential functions

3.3 Trigonometry

3.4 Differentiation

3.5 Integration

3.6 Numerical solution of equations

3.8 Differential equations

3.9 Complex numbers

4. Mechanics

4.1 Forces and equilibrium

4.2 Kinematics of motion in a straight line

4.3 Momentum

4.4 Newton's laws of motion

4.5 Energy, work and power

5. Probability & Statistics 1

5.1 Representation of data

5.2 Permutations and combinations

5.3 Probability

5.4 Discrete random variables

5.5 The normal distribution

6. Probability & Statistics 2

6.1 The Poisson distribution

6.2 Linear combinations of random variables

6.3 Continuous random variables

6.4 Sampling and estimation

6.5 Hypothesis tests

6.5.1—Hypothesis tests

6.5.2—Normal approximation

6.5.3—Hypothesis tests

6.5.4—Hypothesis tests

6.5.5—Normal distribution

A-Level CAIE Mathematics A2 6.5.2—Normal approximation Question Bank

• formulate hypotheses and carry out a hypothesis test in the context of a single observation from a population which has a binomial or Poisson distribution, using - direct evaluation of probabilities - a normal approximation to the binomial or the Poisson distribution, where appropriate

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