Hard Topics - Arithmetic Series Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Equating terms in sequences
Terms of sequences problems
Sums of sequences problems
Further arithmetic sequence problems

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Hard Topics - Binomial Series Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Finding a binomial coefficient
Finding a term in an original expansion
Binomial problems
Further binomial problems

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Hard Topics - Circles Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Finding an equation of a circle given 3 points on circumference
Equation of a tangent to a circle
Problems involving circles and lines
Problems involving circles and tangents

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Hard Topics - Integration Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Multiple integrations
Finding volumes of revolutions
Finding areas between curves

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Hard Topics - Trigonometry Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Solving trigonometric equations
Graphs of trigonometric functions
Further trigonometric identities

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Hard Topics - Quadratics Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Finding range of values where lines and curves do not meet
Meeting points of lines and curves
Problems involving meeting points of lines and curves
Equations of tangents problems

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Hard Topics - Geometric Series Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Geometric series involving trigonometric expressions
Sums of geometric series problems
Geometric series and quadratic expressions problems
Geometric and arithmetic series problems

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Hard Topics - Differentiation Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Finding rates of change using the chain rule
Equations of tangents and normals to curves
Applications of the chain rule
Turning points of graphs

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Hard Topics - Functions Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Inverses of trigonometric functions
Inverses of quadratic functions
Functions with more than one inverse
Inverses of combined functions

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Hard Topics - Transformations Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Transformations of quadratic functions
Further transformations of quadratic functions
Identifying transformations from graphs

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