UK Year 10 Maths Help & Practice!

Get better maths marks with our complete Year 10 Maths help. We've got you covered – whether it's Key Stage 4 Maths (National Curriculum), National curriculum in Wales (Key stage 4), or GCSE maths revision!

Keeping with your coursebook and class, our year 10 maths video lessons walk you through all topics such as, Coordinates and quadrants, Symmetry, Solving simultaneous equations, Laws of Indices, Solving linear equations, and so many more. Learn the concepts with our tutorials that show you step-by-step solutions to even the hardest KS4 maths questions. Then, reinforce your understanding with tons of year 10 maths practice.

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  1. 1Number System
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    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. 4.5Upper and lower bound
  5. 5Pythagorean Theorem
    1. 5.1Understanding of squares and square roots
    2. 5.2Pythagorean theorem
    3. 5.3Estimating square roots
    4. 5.4Using the pythagorean relationship
    5. 5.5Applications of pythagorean theorem
  6. 6Coordinates, Quadrants, and Transformations
    1. 6.1Cartesian plane
    2. 6.2Draw on coordinate planes
    3. 6.3Introduction to transformations
    4. 6.4Horizontal and vertical distances
  7. 7Surface area of 3D Objects
    1. 7.1Introduction to surface area of 3-dimensional shapes
    2. 7.2Nets of 3-dimensional shapes
    3. 7.3Surface area of prisms
    4. 7.4Surface area of cylinders
  8. 8Volume of 3-dimensional figures
    1. 8.1Introduction to volume
    2. 8.2Volume of prisms
    3. 8.3Volume of cylinders
    4. 8.4Word problems relating volume of prisms and cylinders
  9. 9Symmetry and Surface Area
    1. 9.1Line symmetry
    2. 9.2Rotational symmetry and transformations
    3. 9.3Surface area of 3-dimensional shapes
  10. 10Scale Factors and Similarity
    1. 10.1Enlargements and reductions with scale factors
    2. 10.2Scale diagrams
    3. 10.3Similar triangles
    4. 10.4Similar polygons
  11. 11Solving Linear Equations
    1. 11.1Solving linear equations using multiplication and division
    2. 11.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 11.3Solving linear equations using distributive property: a(x + b) = c
    4. 11.4Solving linear equations with variables on both sides
    5. 11.5Solving literal equations
  12. 12Linear Inequalities
    1. 12.1Express linear inequalities graphically and algebraically
    2. 12.2Solving one-step linear inequalities
    3. 12.3Solving multi-step linear inequalities
    4. 12.4Compound inequalities
  13. 13Introduction to Relations and Functions
    1. 13.1Relationship between two variables
    2. 13.2Understand relations between x- and y-intercepts
    3. 13.3Domain and range of a function
    4. 13.4Identifying functions
    5. 13.5Function notation
  14. 14Functions
    1. 14.1Function notation (Advanced)
    2. 14.2Operations with functions
    3. 14.3Adding functions
    4. 14.4Subtracting functions
    5. 14.5Multiplying functions
    6. 14.6Dividing functions
    7. 14.7Composite functions
    8. 14.8Inequalities of combined functions
    9. 14.9Inverse functions
    10. 14.10One to one functions
    11. 14.11Difference quotient: applications of functions
  15. 15Linear Functions
    1. 15.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 15.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 15.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 15.4Gradient intercept form: y = mx + b
    5. 15.5General form: Ax + By + C = 0
    6. 15.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
    7. 15.7Rate of change
    8. 15.8Graphing linear functions using table of values
    9. 15.9Graphing linear functions using x- and y-intercepts
    10. 15.10Graphing from gradient-intercept form y=mx+b
    11. 15.11Graphing linear functions using a single point and gradient
    12. 15.12Word problems of graphing linear functions
    13. 15.13Parallel and perpendicular lines in linear functions
    14. 15.14Parallel and perpendicular lines in linear functions
  16. 16Solving Simultaneous Equations
    1. 16.1Determining number of solutions to linear equations
    2. 16.2Solving simultaneous equations by graphing
    3. 16.3Solving simultaneous equations by elimination
    4. 16.4Solving simultaneous equations by substitution
    5. 16.5Money related questions in linear equations
    6. 16.6Unknown number related questions in linear equations
    7. 16.7Distance and time related questions in linear equations
    8. 16.8Rectangular shape related questions in linear equations
  17. 17Laws of Indices
    1. 17.1Product rule of exponents
    2. 17.2Quotient rule of exponents
    3. 17.3Power of a product rule
    4. 17.4Power of a quotient rule
    5. 17.5Power of a power rule
    6. 17.6Negative exponent rule
    7. 17.7Combining the exponent rules
    8. 17.8Standard form
    9. 17.9Convert between radicals and rational exponents
    10. 17.10Solving for indices
  18. 18Sequences and Series
    1. 18.1Arithmetic sequences
    2. 18.2Arithmetic series
    3. 18.3Geometric sequences
    4. 18.4Geometric series
    5. 18.5Infinite geometric series
    6. 18.6Sigma notation
    7. 18.7Arithmetic mean vs. Geometric mean
  19. 19Exponential Functions
    1. 19.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
    2. 19.2Exponents: Division rule (a^x / a^y) = a^(x-y)
    3. 19.3Exponents: Power rule (a^x)^y = a^(x * y)
    4. 19.4Exponents: Negative exponents
    5. 19.5Exponents: Zero exponent: a^0 = 1
    6. 19.6Exponents: Rational exponents
    7. 19.7Solving exponential equations using exponent rules
    8. 19.8Graphing exponential functions
    9. 19.9Graphing transformations of exponential functions
    10. 19.10Finding an exponential function given its graph
  20. 20Polynomials
    1. 20.1Characteristics of polynomials
    2. 20.2Equivalent expressions of polynomials
    3. 20.3Adding and subtracting polynomials
  21. 21Multiplication and Division of Polynomials
    1. 21.1Multiplying and dividing monomials
    2. 21.2Multiplying polynomials by monomials
    3. 21.3Dividing polynomials by monomials
  22. 22Factorising Polynomial Expressions
    1. 22.1Common factors of polynomials
    2. 22.2Factorising polynomials by grouping
    3. 22.3Solving polynomials with the unknown "b" from x^2 + bx + c
    4. 22.4Solving polynomials with the unknown "c" from x^2 + bx + c
    5. 22.5Factorising polynomials: x^2 + bx + c
    6. 22.6Applications of polynomials: x^2 + bx + c
    7. 22.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 22.8Factorising polynomials: ax2+bx+cax^2 + bx + c
    9. 22.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    10. 22.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    11. 22.11Evaluating polynomials
    12. 22.12Using algebra tiles to factorise polynomials
    13. 22.13Solving polynomial equations
    14. 22.14Word problems of polynomials
  23. 23Surds
    1. 23.1Square and square roots
    2. 23.2Cubic and cube roots
    3. 23.3Evaluating and simplifying surds
    4. 23.4Operations with surds
    5. 23.5Conversion between entire surds and mixed surds
    6. 23.6Adding and subtracting surds
    7. 23.7Multiplying surds
    8. 23.8Solving surd equations
    9. 23.9Rationalize the denominator
  24. 24Algebraic Fractions
    1. 24.1Simplifying algebraic fractions and restrictions
    2. 24.2Adding and subtracting algebraic fractions
    3. 24.3Multiplying algebraic fractions
    4. 24.4Dividing algebraic fractions
    5. 24.5Solving equations with algebraic fractions
    6. 24.6Applications of equations with algebraic fractions
    7. 24.7Simplifying complex fractions
    8. 24.8Partial fraction decomposition
  25. 25Reciprocal Functions
    1. 25.1Graphing reciprocals of linear functions
    2. 25.2Graphing reciprocals of quadratic functions
  26. 26Direct and Inverse Variation
    1. 26.1Direct variation
  27. 27Set Theory
    1. 27.1Set notation
    2. 27.2Set builder notation
    3. 27.3Intersection and union of 2 sets
    4. 27.4Intersection and union of 3 sets
  28. 28Probability
    1. 28.1Determining probabilities using tree diagrams and tables
    2. 28.2Probability of independent events
    3. 28.3Probability with Venn diagrams
  29. 29Statistics
    1. 29.1Median and mode
    2. 29.2Mean
    3. 29.3Range and outliers
    4. 29.4Application of averages
    5. 29.5Influencing factors in data collection
    6. 29.6Data collection
  30. 30Data and Graphs
    1. 30.1Reading and drawing bar graphs
    2. 30.2Reading and drawing histograms
    3. 30.3Reading and drawing line graphs
    4. 30.4Box-and-whisker plots and scatter plots
    5. 30.5Stem-and-leaf plots
    6. 30.6Reading and drawing Venn diagrams
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  • I'm in year 10 in UK, and I want to also revise KS3 maths to prepare for my GCSE maths exam next year. Which course should I sign up for?

    No worries! Your StudyPug subscription gives you unlimited access to all maths help across all courses. You can not only revise all KS3 maths you learned in year 7, year 8 and year 9 maths, but also KS4 maths in year 10 and year 11. To save your precious study time, you can skip, review and learn any materials anytime based on your needs.

  • What class should I take after year 10 maths?

    The course before year 10 maths is Year 9 Maths. After you have mastered this course, your follow up course should be Year 11 Maths.

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