1. Home
  2. >First Year Maths
Help

First 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 Theory
    ?
    1. 1.1Divisibility Rules
    2. 1.2Determining Common Factors
    3. 1.3Determining Common Multiples
    4. 1.4Introduction to exponents
  2. 2Adding and Subtracting Integers
    1. 2.1Introduction to integer addition
    2. 2.2Adding integers
    3. 2.3Introduction to integer subtraction
    4. 2.4Subtracting integers
    5. 2.5Application of integer operations
  3. 3Multiplying and Dividing Integers
    1. 3.1Understanding integer multiplication
    2. 3.2Multiplying integers
    3. 3.3Understanding integer division
    4. 3.4Dividing integers
    5. 3.5Applications of integer operations
  4. 4Operations with Decimals
    1. 4.1Adding and subtracting decimals
    2. 4.2Multiplying decimals
    3. 4.3Dividing decimals
    4. 4.4Order of operations (BIDMAS)
  5. 5Adding and Subtracting Fractions
    1. 5.1Using models to add and subtract fractions
    2. 5.2Adding fractions with like denominators
    3. 5.3Subtracting fractions with like denominators
    4. 5.4Adding and subtracting fractions with unlike denominators
    5. 5.5Adding and subtracting mixed numbers
  6. 6Multiplying and Dividing Fractions
    1. 6.1Multiplying fractions and whole numbers
    2. 6.2Dividing fractions with whole numbers
    3. 6.3Multiplying proper fractions
    4. 6.4Multiplying improper fractions and mixed numbers
    5. 6.5Dividing fractions and mixed numbers
    6. 6.6Applications of fraction operations
  7. 7Rational Numbers
    1. 7.1Comparing and ordering rational numbers
    2. 7.2Solving problems with rational numbers in decimal form
    3. 7.3Solving problems with rational numbers in fraction form
    4. 7.4Determine square roots of rational numbers
  8. 8Powers, and Exponents
    1. 8.1Using exponents to describe numbers
    2. 8.2Exponent rules
    3. 8.3Order of operations with exponents
    4. 8.4Using exponents to solve problems
  9. 9Number System and Radicals
    1. 9.1Understanding the number systems
    2. 9.2Prime factorization
    3. 9.3Greatest Common Factors (GCF)
    4. 9.4Least Common Multiple (LCM)
    5. 9.5Rational vs. Irrational numbers
    6. 9.6Converting repeating decimals to fractions
  10. 10Ratios, Rates, and Proportions
    1. 10.1Ratios
    2. 10.2Rates
    3. 10.3Proportions
  11. 11Pythagorean Theorem
    1. 11.1Squares and square roots
    2. 11.2Pythagorean theorem
    3. 11.3Estimating square roots
    4. 11.4Using the pythagorean relationship
    5. 11.5Applications of pythagorean theorem
  12. 12Proportional Relationships
    1. 12.1Identifying proportional relationships
    2. 12.2Understanding graphs of proportional relationships
    3. 12.3Graphing and writing equations of proportional relationships
    4. 12.4Applications of proportional relationships
  13. 13Fractions, Decimals, and Percents
    1. 13.1Representing percents
    2. 13.2Percent of a number
    3. 13.3Converting among fractions, decimals, and percents
    4. 13.4Applications of percents
    5. 13.5Taxes, discounts, tips and more
    6. 13.6Simple interest
  14. 14Measuring Systems
    1. 14.1Metric systems
    2. 14.2Imperial systems
    3. 14.3Conversions between metric and imperial systems
    4. 14.4Conversions involve squares and cubic
  15. 15Coordinates, Quadrants, and Transformations
    1. 15.1Cartesian plane
    2. 15.2Draw on coordinate planes
    3. 15.3Introduction to transformations
    4. 15.4Horizontal and vertical distances
  16. 16Linear Equations
    1. 16.1Model and solve one-step linear equations: ax = b, x/a = b
    2. 16.2Solving two-step linear equations using addition and subtraction: ax + b = c
    3. 16.3Solving two-step linear equations using multiplication and division: x/a + b = c
    4. 16.4Solving two-step linear equations using distributive property: a(x + b) = c
  17. 17Linear Inequalities
    1. 17.1Express linear inequalities graphically and algebraically
    2. 17.2Solving one-step linear inequalities
    3. 17.3Solving multi-step linear inequalities
    4. 17.4Compound inequalities
  18. 18Linear Functions
    1. 18.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 18.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 18.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 18.4Gradient intercept form: y = mx + b
    5. 18.5General form: Ax + By + C = 0
    6. 18.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 18.7Rate of change
    8. 18.8Graphing linear functions using table of values
    9. 18.9Graphing linear functions using x- and y-intercepts
    10. 18.10Graphing from gradient-intercept form y=mx+b
    11. 18.11Graphing linear functions using a single point and gradient
    12. 18.12Word problems of graphing linear functions
    13. 18.13Parallel and perpendicular lines in linear functions
    14. 18.14Applications of linear relations
  19. 19Geometry and Measurement
    1. 19.1Parallel and perpendicular line segments
    2. 19.2Perpendicular bisectors
    3. 19.3Angle bisectors
  20. 20Angles, Lines, and Transversals
    1. 20.1Pairs of lines and angles
    2. 20.2Parallel lines and transversals
    3. 20.3Parallel line proofs
    4. 20.4Perpendicular line proofs
  21. 21Properties of triangles
    1. 21.1Classifying triangles
    2. 21.2Isosceles and equilateral triangles
  22. 22Circles
    1. 22.1Circles and circumference
    2. 22.2Arcs of a circle
    3. 22.3Areas and sectors of circles
  23. 23Symmetry and Surface Area
    1. 23.1Line symmetry
    2. 23.2Rotational symmetry and transformations
    3. 23.3Surface area of 3-dimensional shapes
  24. 24Introduction to 3-Dimensional Figures
    1. 24.1Introduction to surface area of 3-dimensional shapes
    2. 24.2Nets of 3-dimensional shapes
    3. 24.3Surface area of prisms
    4. 24.4Surface area of cylinders
  25. 25Volume
    1. 25.1Introduction to volume
    2. 25.2Volume of prisms
    3. 25.3Volume of cylinders
    4. 25.4Word problems relating volume of prisms and cylinders
  26. 26Data and Graphs
    1. 26.1Reading and drawing bar graphs
    2. 26.2Reading and drawing histograms
    3. 26.3Reading and drawing line graphs
    4. 26.4Box-and-whisker plots and scatter plots
    5. 26.5Stem-and-leaf plots
    6. 26.6Pie charts
    7. 26.7Reading and drawing Venn diagrams
    8. 26.8Frequency tables and dot plots
  27. 27Statistics
    1. 27.1Median and mode
    2. 27.2Mean
    3. 27.3Range and outliers
    4. 27.4Application of averages
  28. 28Introduction to Probability
    1. 28.1Introduction to probability
    2. 28.2Organizing outcomes
    3. 28.3Probability of independent events
    4. 28.4Comparing experimental and theoretical probability
?
User Testimonials
  • Students and parents love our maths help
    But don't take our word for it…
  • Leah Doyle
    First year maths student, Dundalk, Ireland

    I love maths, but not so much learning it in classroom because I want more control of my study. It became possible when I joined StudyPug. It gives me unlimited access to maths lessons on maths topics that I need to learn. I can learn and practice whenever I want at my own pace.

  • 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