Year 10 Maths Help Online

Practice algebra, trigonometry, and geometry with step-by-step video lessons and worksheets

Year 10 Maths course hero image
Diagnostic Finds Gaps

Diagnostic Finds Gaps

Snap homework to find the right lessons

Find Your Weak Spots

Find Your Weak Spots

Spot weak topics to focus study time

Practice Until Perfect

Practice Until Perfect

Unlimited problems at your level

Try It Now

Test your knowledge

Our approach aligns with the evidence

+13-25%

Exam Scores

2x

Better Recall

25%

Less Anxiety

Year 10 Maths Topics

Topic includes:
Practice
Video
Quiz
950+ students practicing now

1. Number System and Radicals

1.1 Understanding the number systems
1.2 Prime factorisation
1.3 Greatest Common Factors (GCF)
1.4 Least Common Multiple (LCM)
1.5 Rational vs. Irrational numbers
1.6 Converting repeating decimals to fractions

2. Rational Numbers

2.1 Comparing and ordering rational numbers
2.2 Solving problems with rational numbers in decimal form
2.3 Solving problems with rational numbers in fraction form
2.4 Determine square roots of rational numbers

3. Ratios, Rates, and Proportions

3.1 Ratios
3.2 Rates
3.3 Proportions

4. Percents

4.1 Representing percents
4.2 Percents, fractions, and decimals
4.3 Percent of a number
4.4 Adding and multiplying percents
4.5 Taxes, discounts, tips and more
4.6 Simple interest
4.7 Finance: Compound interest

5. Pythagorean Theorem

5.1 Squares and square roots
5.2 Pythagorean theorem
5.3 Estimating square roots
5.4 Using the pythagorean relationship
5.5 Applications of pythagorean theorem

6. Volume

6.1 Introduction to volume
6.2 Volume of prisms
6.3 Volume of cylinders
6.4 Word problems relating volume of prisms and cylinders

7. Scale Factors and Similarity

7.1 Enlargements and reductions with scale factors
7.2 Scale diagrams
7.3 Similar triangles
7.4 Similar polygons

8. Solving Linear Equations

8.1 Solving linear equations using multiplication and division
8.2 Solving two-step linear equations: ax + b = c, x/a + b = c
8.3 Solving linear equations using distributive property: a(x + b) = c
8.4 Solving linear equations with variables on both sides
8.5 Solving literal equations

9. Data and Graphs

9.1 Reading and drawing bar graphs
9.2 Reading and drawing histograms
9.3 Reading and drawing line graphs
9.4 Box-and-whisker plots and scatter plots
9.5 Stem-and-leaf plots
9.6 Pie charts
9.7 Reading and drawing Venn diagrams
9.8 Frequency tables and dot plots

10. Direct Variation

10.1 Identifying proportional relationships
10.2 Understanding graphs of proportional relationships
10.3 Understanding tables of values of proportional relationships
10.4 Applications of linear relationships

11. Introduction to Relations and Functions

11.1 Relationship between two variables
11.2 Understand relations between x- and y-intercepts
11.3 Domain and range of a function
11.4 Identifying functions
11.5 Function notation

12. Linear Functions

12.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
12.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
12.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
12.4 Gradient intercept form: y = mx + b
12.5 General form: Ax + By + C = 0
12.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
12.7 Rate of change
12.8 Graphing linear functions using table of values
12.9 Graphing linear functions using x- and y-intercepts
12.10 Graphing from gradient-intercept form y=mx+b
12.11 Graphing linear functions using a single point and gradient
12.12 Word problems of graphing linear functions
12.13 Parallel and perpendicular lines in linear functions
12.14 Applications of linear relations

13. Linear Inequalities

13.1 Express linear inequalities graphically and algebraically
13.2 Solving one-step linear inequalities
13.3 Solving multi-step linear inequalities
13.4 Compound inequalities

14. Solving Simultaneous Equations

14.1 Determining number of solutions to linear equations
14.2 Solving simultaneous equations by graphing
14.3 Solving simultaneous equations by elimination
14.4 Solving simultaneous equations by substitution
14.5 Money related questions in linear equations
14.6 Unknown number related questions in linear equations
14.7 Distance and time related questions in linear equations
14.8 Rectangular shape related questions in linear equations

15. Exponents

15.1 Product rule of exponents
15.2 Quotient rule of exponents
15.3 Power of a product rule
15.4 Power of a quotient rule
15.5 Power of a power rule
15.6 Negative exponent rule
15.7 Combining the exponent rules
15.8 Scientific notation
15.9 Convert between radicals and rational exponents
15.10 Solving for exponents

16. Introduction to Polynomials

16.1 Characteristics of polynomials
16.2 Equivalent expressions of polynomials
16.3 Adding and subtracting polynomials

17. Operations of Polynomials

17.1 What is a polynomial?
17.2 Polynomial components
17.3 Multiplying monomial by monomial
17.4 Multiplying monomial by binomial
17.5 Multiplying binomial by binomial
17.6 Multiplying polynomial by polynomial
17.7 Applications of polynomials

18. Factorising Polynomial Expressions

18.1 Common factors of polynomials
18.2 Factorising polynomials by grouping
18.3 Solving polynomials with the unknown "b" from x^2 + bx + c
18.4 Solving polynomials with the unknown "c" from x^2 + bx + c
18.5 Factorising polynomials: x^2 + bx + c
18.6 Applications of polynomials: x^2 + bx + c
18.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
18.8 Factorising polynomials: ax2+bx+cax^2 + bx + c
18.9 Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
18.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
18.11 Evaluating polynomials
18.12 Using algebra tiles to factorise polynomials
18.13 Solving polynomial equations
18.14 Word problems of polynomials

19. Radicals

19.1 Square and square roots
19.2 Cubic and cube roots
19.3 Evaluating and simplifying radicals
19.4 Converting radicals to mixed radicals
19.5 Converting radicals to entire radicals
19.6 Adding and subtracting radicals
19.7 Multiplying and dividing radicals
19.8 Rationalize the denominator

20. Algebraic Fractions

20.1 Simplifying algebraic fractions and restrictions
20.2 Adding and subtracting algebraic fractions
20.3 Multiplying algebraic fractions
20.4 Dividing algebraic fractions
20.5 Solving equations with algebraic fractions
20.6 Applications of equations with algebraic fractions
20.7 Simplifying complex fractions
20.8 Partial fraction decomposition

21. Reciprocal Functions

21.1 Graphing reciprocals of linear functions
21.2 Graphing reciprocals of quadratic functions

22. Statistics

22.1 Median and mode
22.2 Mean
22.3 Range and outliers
22.4 Application of averages

23. Probability

23.1 Determining probabilities using tree diagrams and tables
23.2 Probability of independent events
23.3 Probability with Venn diagrams

23 Chapters · 140 Topics · 1068 Videos

Year 10 Maths FAQ

Unsure how StudyPug works? Need help with setting up? Check our frequently asked questions or contact us for help.

Can I sign up free to try it?

Yes — sign up free to access sample Year 10 Maths lessons. Subscribe when you're ready for full access, with a 30-day money-back guarantee.

How much does it cost?

Plans start with one low monthly payment, with annual options for the best value. One plan covers up to 5 children and all subjects. 30-day money-back guarantee. See all plans →

What's included in the subscription?

Full access to step-by-step video lessons, diagnostic assessments, adaptive practice, Photo Search, and progress tracking for Year 10 Maths and all other courses.

How quickly will I improve in Year 10 Maths?

Most students see better understanding within the first week. With consistent practice, expect measurable improvement in exam scores within 2-4 weeks.

Does this cover my Year 10 Maths curriculum?

Yes — our Year 10 Maths content covers all major topics regardless of textbook, aligned to the New Zealand Curriculum and NCEA Level 1 standards.

Is StudyPug aligned with NCEA Level 1?

Yes — our Year 10 Maths course covers all topics tested in NCEA Level 1 Mathematics, with practice problems that match the assessment style.

How StudyPug Works
Get Started
student

Start Improving Today!

Get Started
Now on iOS and Android!Join 3M+ students improving their grades
App StoreGoogle Play
mathImage