Hard Topics - Algebra Test

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Remainder theorem problems
Absolute value quadratic equations
Further absolute value quadratic equations
Solving absolute value inequalities algebraically

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Hard Topics - Logarithms Test 1

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Logarithmic properties
Quotient property of logarithms
Solving logarithmic equations
Solving exponential equations

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Hard Topics - Logarithms Test 2

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Simplifying logarithms
Rewriting logarithmic expressions
Graphs of exponential and logarithmic functions
Transforming relationships into linear form

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Hard Topics - Trigonometry Test 1

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Graphs of reciprocal trigonometric function
Sum and difference identities
Solving sum and difference equations

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Hard Topics - Trigonometry Test 2

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Minimum and maximum values of trigonometric expressions
Double angle identity equations
Rewriting trigonometric fractions
Verifying trigonometric identities

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Hard Topics - Differentiation Test

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Differentiating using multiple techniques
Differentiating trigonometric functions
Implicit differentiation
Parametric differentiation

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Hard Topics - Integration Test

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Definite integrals of trigonometric functions
Integration using trigonometric identities
Using the trapezium rule

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Hard Topics - Numerical Methods Test

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Deriving iterative formulas from equations
Using iterative processes to find estimates of roots

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Hard Topics - Further Calculus Test

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Substitution in a definite integral
Integration using partial fractions
Using integration by parts repeatedly

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Hard Topics - Complex Numbers Test

Time Limit: 20 minutes

Number of questions: 5

Test topics:

Quartic equations with complex roots
Square roots of a complex number
Cube roots of unity

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