# 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.

All our lessons are taught by experienced Year 10 Maths tutors. Let's finish your homework in no time, and ACE that test.

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##### 1Number System

##### 2Ratios, Rates, and Proportions

##### 3Percents

##### 4Measuring Systems

##### 5Pythagorean Theorem

##### 6Coordinates, Quadrants, and Transformations

##### 7Surface area of 3D Objects

##### 8Volume of 3-dimensional figures

##### 9Symmetry and Surface Area

##### 10Scale Factors and Similarity

##### 11Solving Linear Equations

##### 12Linear Inequalities

##### 13Introduction to Relations and Functions

##### 14Functions

- 14.1Function notation (Advanced)
- 14.2Operations with functions
- 14.3Adding functions
- 14.4Subtracting functions
- 14.5Multiplying functions
- 14.6Dividing functions
- 14.7Composite functions
- 14.8Inequalities of combined functions
- 14.9Inverse functions
- 14.10One to one functions
- 14.11Difference quotient: applications of functions

- 14.1Function notation (Advanced)
##### 15Linear Functions

- 15.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- 15.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
- 15.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- 15.4Gradient intercept form: y = mx + b
- 15.5General form: Ax + By + C = 0
- 15.6Gradient-point form: $y - y_1 = m (x - x_1)$
- 15.7Rate of change
- 15.8Graphing linear functions using table of values
- 15.9Graphing linear functions using x- and y-intercepts
- 15.10Graphing from gradient-intercept form y=mx+b
- 15.11Graphing linear functions using a single point and gradient
- 15.12Word problems of graphing linear functions
- 15.13Parallel and perpendicular lines in linear functions
- 15.14Parallel and perpendicular lines in linear functions

- 15.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
##### 16Solving Simultaneous Equations

- 16.1Determining number of solutions to linear equations
- 16.2Solving simultaneous equations by graphing
- 16.3Solving simultaneous equations by elimination
- 16.4Solving simultaneous equations by substitution
- 16.5Money related questions in linear equations
- 16.6Unknown number related questions in linear equations
- 16.7Distance and time related questions in linear equations
- 16.8Rectangular shape related questions in linear equations

- 16.1Determining number of solutions to linear equations
##### 17Laws of Indices

##### 18Sequences and Series

##### 19Exponential Functions

- 19.1Exponents: Product rule
*(a^x)(a^y) = a^(x+y)* - 19.2Exponents: Division rule (a^x / a^y) = a^(x-y)
- 19.3Exponents: Power rule
*(a^x)^y = a^(x * y)* - 19.4Exponents: Negative exponents
- 19.5Exponents: Zero exponent:
*a^0 = 1* - 19.6Exponents: Rational exponents
- 19.7Solving exponential equations using exponent rules
- 19.8Graphing exponential functions
- 19.9Graphing transformations of exponential functions
- 19.10Finding an exponential function given its graph

- 19.1Exponents: Product rule
##### 20Polynomials

##### 21Multiplication and Division of Polynomials

##### 22Factorising Polynomial Expressions

- 22.1Common factors of polynomials
- 22.2Factorising polynomials by grouping
- 22.3Solving polynomials with the unknown "b" from
*x^2 + bx + c* - 22.4Solving polynomials with the unknown "c" from
*x^2 + bx + c* - 22.5Factorising polynomials:
*x^2 + bx + c* - 22.6Applications of polynomials:
*x^2 + bx + c* - 22.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$
- 22.8Factorising polynomials: $ax^2 + bx + c$
- 22.9Factorising perfect square trinomials:
*(a + b)^2 = a^2 + 2ab + b^2*or*(a - b)^2 = a^2 - 2ab + b^2* - 22.10Find the difference of squares:
*(a - b)(a + b) = (a^2 - b^2)* - 22.11Evaluating polynomials
- 22.12Using algebra tiles to factorise polynomials
- 22.13Solving polynomial equations
- 22.14Word problems of polynomials

- 22.1Common factors of polynomials
##### 23Surds

##### 24Algebraic Fractions

- 24.1Simplifying algebraic fractions and restrictions
- 24.2Adding and subtracting algebraic fractions
- 24.3Multiplying algebraic fractions
- 24.4Dividing algebraic fractions
- 24.5Solving equations with algebraic fractions
- 24.6Applications of equations with algebraic fractions
- 24.7Simplifying complex fractions
- 24.8Partial fraction decomposition

- 24.1Simplifying algebraic fractions and restrictions
##### 25Reciprocal Functions

##### 26Direct and Inverse Variation

##### 27Set Theory

##### 28Probability

##### 29Statistics

##### 30Data and Graphs