Hard Topics - Sequences and Series Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Combining standard results
Proving standard results
Splitting summations

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Hard Topics - Rational Graphs Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Slant asymptotes of graphs
Stationary points of rational graphs
Range of a rational function
Absolute value quadratic equations

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Hard Topics - Matrices and Inverses Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Finding an area using the determinant
Calculations with inverse matrices
Inverse of a 3 x 3 matrix

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Hard Topics - Polar Coordinates Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Area of a region
Area of a region bounded by half-lines
Converting from Cartesian to Polar coordinates
Points of intersection

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Hard Topics - Roots of Polynomials Test 1

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Substitution using square roots
Substitution using inverses
Finding missing values in quartic equations

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Hard Topics - Roots of Polynomials Test 2

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Roots of quartic equations
Roots of quartic equations using algebra
Substituting and rearranging to form equations

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Hard Topics - Matrices and Transformations Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Finding matrices
Successive matrix transformations
Invariant lines of a transformation
Problems involving variant lines

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Hard Topics - Vectors Test 1

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Cartesian equation of a plane
Equation of a line perpendicular to a plane
Intersections and sheaves of planes

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Hard Topics - Vectors Test 2

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Equation of common perpendicular to lines
Shortest distance from a point to a line
Shortest distance between two lines

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