1. Home
  2. >Third Year Maths
Help

Third Year Maths Help & Practice

All in One Place

Everything you need for JC, LC, and college level maths and science classes.

Learn with Ease

We’ve mastered the national curriculum so that you can revise with confidence.

Instant Help

24/7 access to the best tips, walkthroughs, and practice exercises available.

Get step-by-step breakdowns from our practice solutionsSee your practice accuracy over timeKeep your streak going with our daily recommendations
Currently Learning
?

Become a member to get more!

Join Now
Practice Results
?

Become a member to get more!

Join Now
Suggested Tasks
?

Become a member to get more!

Join Now
  1. 1Number System and Radicals
    ?
    1. 1.1Understanding the number systems
    2. 1.2Prime factorisation
    3. 1.3Greatest Common Factors (GCF)
    4. 1.4Least Common Multiple (LCM)
    5. 1.5Rational vs. Irrational numbers
    6. 1.6Converting repeating decimals to fractions
  2. 2Ratios, Rates, and Proportions
    1. 2.1Ratios
    2. 2.2Rates
    3. 2.3Proportions
  3. 3Percents
    1. 3.1Representing percents
    2. 3.2Percents, fractions, and decimals
    3. 3.3Percent of a number
    4. 3.4Adding and multiplying percents
    5. 3.5Taxes, discounts, tips and more
    6. 3.6Simple interest
  4. 4Measuring Systems
    1. 4.1Metric systems
    2. 4.2Imperial systems
    3. 4.3Conversions between metric and imperial systems
    4. 4.4Conversions involve squares and cubic
  5. 5Coordinates, Quadrants, and Transformations
    1. 5.1Cartesian plane
    2. 5.2Draw on coordinate planes
    3. 5.3Introduction to transformations
    4. 5.4Horizontal and vertical distances
  6. 6Angles, Lines, and Transversals
    1. 6.1Pairs of lines and angles
    2. 6.2Parallel lines and transversals
    3. 6.3Parallel line proofs
    4. 6.4Perpendicular line proofs
  7. 7Properties of Triangles
    1. 7.1Classifying triangles
    2. 7.2Isosceles and equilateral triangles
  8. 8Circles
    1. 8.1Circles and circumference
    2. 8.2Angles in a circle
    3. 8.3Arcs of a circle
    4. 8.4Areas and sectors of circles
  9. 9Congruent Triangles
    1. 9.1Congruence and congruent triangles
    2. 9.2Triangles congruent by SSS proofs
    3. 9.3Triangles congruent by SAS and HL proofs
    4. 9.4Triangles congruent by ASA and AAS proofs
  10. 10Symmetry and Surface Area
    1. 10.1Line symmetry
    2. 10.2Rotational symmetry and transformations
    3. 10.3Surface area of 3-dimensional shapes
  11. 11Scale Factors and Similarity
    1. 11.1Enlargements and reductions with scale factors
    2. 11.2Scale diagrams
    3. 11.3Similar triangles
    4. 11.4Similar polygons
  12. 12Pythagorean Theorem
    1. 12.1Squares and square roots
    2. 12.2Pythagorean theorem
    3. 12.3Estimating square roots
    4. 12.4Using the pythagorean relationship
    5. 12.5Applications of pythagorean theorem
  13. 13Introduction to 3-Dimensional Figures
    1. 13.1Introduction to surface area of 3-dimensional shapes
    2. 13.2Nets of 3-dimensional shapes
    3. 13.3Surface area of prisms
    4. 13.4Surface area of cylinders
  14. 14Volume
    1. 14.1Introduction to volume
    2. 14.2Volume of prisms
    3. 14.3Volume of cylinders
    4. 14.4Word problems relating volume of prisms and cylinders
  15. 15Introduction to Trigonometry
    1. 15.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
    2. 15.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    3. 15.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
    4. 15.4Combination of SohCahToa questions
    5. 15.5Solving expressions using 45-45-90 special right triangles
    6. 15.6Solving expressions using 30-60-90 special right triangles
    7. 15.7Word problems relating ladder in trigonometry
    8. 15.8Word problems relating guy wire in trigonometry
    9. 15.9Other word problems relating angles in trigonometry
  16. 16Patterns and Solving Equations
    1. 16.1Patterns
    2. 16.2Evaluating algebraic expressions
    3. 16.3Solving one - step equations: x + a = b
    4. 16.4Graphing linear relations
  17. 17Introduction to Linear Relations
    1. 17.1Representing patterns in linear relations
    2. 17.2Reading linear relation graphs
    3. 17.3Solving linear equations by graphing
  18. 18Linear Inequalities
    1. 18.1Express linear inequalities graphically and algebraically
    2. 18.2Solving one-step linear inequalities
    3. 18.3Solving multi-step linear inequalities
    4. 18.4Compound inequalities
  19. 19Introduction to Relations and Functions
    1. 19.1Relationship between two variables
    2. 19.2Understand relations between x- and y-intercepts
    3. 19.3Domain and range of a function
    4. 19.4Identifying functions
    5. 19.5Function notation
  20. 20Data and Graphs
    1. 20.1Reading and drawing bar graphs
    2. 20.2Reading and drawing histograms
    3. 20.3Reading and drawing line graphs
    4. 20.4Box-and-whisker plots and scatter plots
    5. 20.5Stem-and-leaf plots
    6. 20.6Circle graphs
    7. 20.7Reading and drawing Venn diagrams
    8. 20.8Frequency tables and dot plots
  21. 21Linear Functions
    1. 21.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 21.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 21.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 21.4Gradient intercept form: y = mx + b
    5. 21.5General form: Ax + By + C = 0
    6. 21.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 21.7Rate of change
    8. 21.8Graphing linear functions using table of values
    9. 21.9Graphing linear functions using x- and y-intercepts
    10. 21.10Graphing from gradient-intercept form y=mx+b
    11. 21.11Graphing linear functions using a single point and gradient
    12. 21.12Word problems of graphing linear functions
    13. 21.13Parallel and perpendicular lines in linear functions
    14. 21.14Applications of linear relations
  22. 22Linear Equations
    1. 22.1Introduction to linear equations
    2. 22.2Introduction to nonlinear equations
    3. 22.3Special case of linear equations: Horizontal lines
    4. 22.4Special case of linear equations: Vertical lines
    5. 22.5Parallel line equation
    6. 22.6Perpendicular line equation
    7. 22.7Combination of both parallel and perpendicular line equations
    8. 22.8Applications of linear equations
  23. 23Solving Simultaneous Equations
    1. 23.1Determining number of solutions to linear equations
    2. 23.2Solving simultaneous equations by graphing
    3. 23.3Solving simultaneous equations by elimination
    4. 23.4Solving simultaneous equations by substitution
    5. 23.5Money related questions in linear equations
    6. 23.6Unknown number related questions in linear equations
    7. 23.7Distance and time related questions in linear equations
    8. 23.8Rectangular shape related questions in linear equations
  24. 24Exponents
    1. 24.1Product rule of exponents
    2. 24.2Quotient rule of exponents
    3. 24.3Power of a product rule
    4. 24.4Power of a quotient rule
    5. 24.5Power of a power rule
    6. 24.6Negative exponent rule
    7. 24.7Combining the exponent rules
    8. 24.8Scientific notation
    9. 24.9Convert between radicals and rational exponents
    10. 24.10Solving for exponents
  25. 25Quadratic Functions
    1. 25.1Characteristics of quadratic functions
    2. 25.2Transformations of quadratic functions
    3. 25.3Quadratic function in general form: y = ax^2 + bx + c
    4. 25.4Quadratic function in vertex form: y = a(x-p)^2 + q
    5. 25.5Completing the square
    6. 25.6Converting from general to vertex form by completing the square
    7. 25.7Shortcut: Vertex formula
    8. 25.8Graphing parabolas for given quadratic functions
    9. 25.9Finding the quadratic functions for given parabolas
    10. 25.10Applications of quadratic functions
  26. 26Polynomials
    1. 26.1Characteristics of polynomials
    2. 26.2Equivalent expressions of polynomials
    3. 26.3Adding and subtracting polynomials
  27. 27Operations of Polynomials
    1. 27.1What is a polynomial?
    2. 27.2Using algebra tiles to factorise polynomials
  28. 28Factorising Polynomial expressions
    1. 28.1Common factors of polynomials
    2. 28.2Factorising polynomials by grouping
    3. 28.3Solving polynomials with the unknown "b" from x^2 + bx + c
    4. 28.4Solving polynomials with the unknown "c" from x^2 + bx + c
    5. 28.5Factorising polynomials: x^2 + bx + c
    6. 28.6Applications of polynomials: x^2 + bx + c
    7. 28.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 28.8Factorising polynomials: ax2+bx+cax^2 + bx + c
    9. 28.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    10. 28.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    11. 28.11Evaluating polynomials
    12. 28.12Solving polynomial equations
    13. 28.13Word problems of polynomials
  29. 29Radicals
    1. 29.1Square and square roots
    2. 29.2Cubic and cube roots
    3. 29.3Evaluating and simplifying radicals
    4. 29.4Converting radicals to mixed radicals
    5. 29.5Converting radicals to entire radicals
    6. 29.6Adding and subtracting radicals
    7. 29.7Multiplying and dividing radicals
    8. 29.8Rationalize the denominator
  30. 30Rational Expressions
    1. 30.1Simplifying rational expressions and restrictions
    2. 30.2Adding and subtracting rational expressions
    3. 30.3Multiplying rational expressions
    4. 30.4Dividing rational expressions
    5. 30.5Solving rational equations
    6. 30.6Applications of rational equations
    7. 30.7Simplifying complex fractions
    8. 30.8Partial fraction decomposition
  31. 31Reciprocal Functions
    1. 31.1Graphing reciprocals of linear functions
    2. 31.2Graphing reciprocals of quadratic functions
  32. 32Probability
    1. 32.1Determining probabilities using tree diagrams and tables
    2. 32.2Probability of independent events
    3. 32.3Probability with Venn diagrams
?
User Testimonials
  • Students and parents love our maths help
    But don't take our word for it…
  • Rachel McCarthy
    Third year maths student, Cork, Ireland

    I was struggling with my study for Junior Cert maths, and so I went online for help. However, most of the maths websites aren't really helpful. And then, I found Study Pug. I can find everything I need for Junior Cert and more. Now, I am using StudyPug to study and prepare for all my maths quizzes and exams.

  • Carson E.
    parent

    When we saw our son's grades we looked online for a convenient, affordable and effective solution. StudyPug has been a great investment.

  • Jason G.
    high school senior

    This website saved my butt last semester. I am using it againthis semester. Dennis is the best online tutor... I also like that I can watch videos over and over until I really understand the concept. If you want to save time, sign up...it's only ten bucks and it saved me hours of study time. Thanks, Dennis!

  • See all our Testimonials
#1 help and practice for primary, secondary, and university.
What are you waiting for?
Pick your course and start learning for free!
Start Learning