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## Material to be Learned Off:

Some samples have been attached.

## Paper 1

• Prove that Root 2 is not rational (Proof by Contradiction)
• Must be able to Construct Root 2 and Root 3
• Derive the Formula for a Mortgage Repayment (Amortisation Formula)
• Derive the Formula for the Sum to Infinity of Geometric Series (Using Limits)
• Derive the Formula for the Sum of a Finite Geometric Series (Proof by Induction)
• Prove De Moivre’s Theorem (Proof By Induction)

Others that you might be asked to ‘prove’ but because they can be asked in different ways you can’t learn them off specifically.

• Apply De Moivre to Prove certain Trigonometric Identities (more than 1 type)
• Differentiation by 1st Principles (more than 1 type)

## Paper 2

Likewise there is a host of definitions in Statistics and Probability that should be learned such as the type of sample, conditions for Bernoulli etc but they are not specifically outlined in the syllabus.
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