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Course Content
Algebra 1
0/14
Expressions
Exercise Set A
Factorising
Exercise Set B
Algebraic Fractions
Exercise Set C
Binomial Expansions
Exercise Set D
Algebraic Identities
Exercise Set E
Linear Equations
Exercise Set F
Simultaneous Linear Equations
Exercise Set G
Algebra 2
0/16
Quadratic Equations
Exercise Set A
Quadratic Roots
Exercise Set B
Factor Theorem
Exercise Set C
Simultaneous Linear & Quadratic Equations
Exercise Set D
Forming Quadratic Equations
Exercise Set E
Maxima and Minima
Exercise Set F
Surd Equations
Exercise Set G
Polynomial Graphs
Exercise Set H
Trigonometry 1
0/18
Radians
Exercise Set A
Sine, Cosine & Tangent
Exercise Set B
The Unit Circle
Exercise Set C
Sine Rule
Exercise Set D
Cosine Rule
Exercise Set E
3D Problems
Exercise Set F
Trigonometric Graphs
Exercise Set G
Related Trigonometric Graphs
Exercise Set H
Solving Trigonometric Equations
Exercise Set I
Coordinate Geometry of the Line
0/14
Area of a Triangle
Exercise Set A
Equation of a Line
Exercise Set B
Dividing a Line Segment
Exercise Set C
Triangle Concurrencies
Exercise Set D
Distance from Point to Line
Exercise Set E
Angle between Lines
Exercise Set F
Real World Problems
Exercise Set G
Probability 1
0/14
Permutations
Exercise Set A
Combinations
Exercise Set B
Elementary Probability
Exercise Set C
Relative Frequencies
Exercise Set D
Mutually Exclusive Events
Exercise Set E
Independent Events
Exercise Set F
Conditional Probability
Exercise Set G
Geometry 1
0/6
Triangle & Parallelogram Theorems
Exercise Set A
Ratio Theorems
Exercise Set B
Circle Theorems
Exercise Set C
Differential Calculus
0/10
Limits
Exercise Set A
Derivatives from First Principles
Exercise Set B
Derivatives by Rule
Exercise Set C
Product, Quotient & Chain Rules
Exercise Set D
Second Derivatives
Exercise Set E
Trigonometry 2
0/10
Trigonometric Identities
Exercise Set A
Compound Angles
Exercise Set B
Double-Angle Formulae
Exercise Set C
Sum, Difference & Product Formulae
Exercise Set D
Inverse Trigonometric Functions
Exercise Set E
Sequences & Series
0/12
Arithmetic Sequences
Exercise Set A
Arithmetic Series
Exercise Set B
Geometric Sequences
Exercise Set C
Geometric Series
Exercise Set D
Limits of Sequences
Exercise Set E
Other Sequences
Exercise Set F
Statistics 1
0/9
Data
Population Sampling
Location & Variability
Exercise Set A
Stem & Leaf Diagrams
Exercise Set B
Histograms
Exercise Set C
Distribution Shapes
Coordinate Geometry of the Circle
0/14
Circles centred at Origin
Exercise Set A
Circle centred Elsewhere
Exercise Set B
Finding Equations of Circles
Exercise Set C
Tangents
Exercise Set D
Chords
Exercise Set E
Touching Circles
Exercise Set F
Circles Tangent to Axes
Exercise Set G
Algebra 3
0/16
Inequalities
Exercise Set A
Quadratic & Rational Inequalities
Exercise Set B
Modulus
Exercise Set C
Mathematical Proofs
Exercise Set D
Indices
Exercise Set E
Exponential Functions
Exercise Set F
Logarithmic Functions
Exercise Set G
Proofs by Induction
Exercise Set H
Complex Numbers
0/12
Introduction to Complex Numbers
Exercise Set A
Manipulating Complex Numbers
Exercise Set B
Conjugate Roots Theorem
Exercise Set C
Polar Coordinates
Exercise Set D
Argand Diagrams
Exercise Set E
De Moivre’s Theorem
Exercise Set F
Geometry 2
0/4
Enlargements
Exercise Set A
Constructions
Exercise Set B
Integration
0/8
Indefinite Integrals
Exercise Set A
Definite Integrals
Exercise Set B
Integration & Areas
Exercise Set C
Average Values of a Function
Exercise Set D
Differential Calculus Applications
0/8
Stationary Points
Exercise Set A
Graphs of Derivatives
Exercise Set B
Maxima and Minima Problems
Exercise Set C
Rates of Change
Exercise Set D
Financial Maths
0/8
Compound Interest
Exercise Set A
Depreciation
Exercise Set B
Annuities
Exercise Set C
Loans & Mortgages
Exercise Set D
Length, Area & Volume
0/6
Sectors of Circles
Exercise Set A
3D Objects
Exercise Set B
Trapezoidal Rule
Exercise Set C
Probability 2
0/9
Tree Diagrams
Exercise Set A
Expected Values
Exercise Set B
Bernoulli Trials
Exercise Set C
The Independence of Events
Exercise Set D
Simulations
Functions
0/15
Relations
Exercise Set A
Set Representation of Relations
Exercise Set B
Graphical Representation of Relations
Exercise Set C
Graphing Similar Relations
Introduction to Functions
Exercise Set E
Inverses & Compositions
Exercise Set F
Types of Functions
Exponential Functions
Logarithmic Functions
Functions & Graphs
Statistics 2
0/4
Scatter Diagrams
Lines of Best Fit
Normal Distributions
Exercise Set C
Inferential Statistics
0/6
Population Proportions
Exercise Set A
Central Limit Theorem
Exercise Set B
Population Means
Exercise Set C
Digital Lessons
About Lesson

Start with the quiz…

Knowledge Check Quiz

EXAMS.IE

Geometry Theorems

Hint

Triangles are congruent if they are the same except for their orientation.

1 / 5

In order for two triangles to be congruent, which of the following must be true?

Hint

These triangles are right-angled (R).

2 / 5

If two right angled triangles share the same hypotenuse and an additional side, they are congruent according to which rule?

Hint

These triangles share the same three sides (S).

3 / 5

If two triangles share the same the same three sides, they are congruent according to which rule?

Hint

These triangles share the same two angles (A).

4 / 5

If two triangles share the same the same two angles, and the side between those two angles, they are congruent according to which rule?

Hint

These triangles share the same two sides (S).

5 / 5

If two triangles share the same the same two sides, and the angle between those two sides, they are congruent according to which rule?

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