Year 10 Maths made completely easy!

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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Common Questions
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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Year 10 Maths topics

We have plenty of free lessons for you to watch

1Number System

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

2Ratios, Rates, and Proportions

2.1Ratios (free lessons)
2.2Rates
2.3Proportions

3Percents

3.1Representing percents (free lessons)
3.2Percents, fractions, and decimals
3.3Percent of a number
3.4Adding and multiplying percents
3.5Taxes, discounts, tips and more
3.6Simple interest

4Measuring Systems

4.1Metric systems (free lessons)
4.2Imperial systems
4.3Conversions between metric and imperial systems
4.4Conversions involve squares and cubic
4.5Upper and lower bound

5Pythagorean Theorem

5.1Understanding of squares and square roots (free lessons)
5.2Pythagorean theorem (free lessons)
5.3Estimating square roots (free lessons)
5.4Using the pythagorean relationship
5.5Applications of pythagorean theorem

6Coordinates, Quadrants, and Transformations

6.1Cartesian plane
6.2Draw on coordinate planes
6.3Introduction to transformations
6.4Horizontal and vertical distances

7Surface area of 3D Objects

7.1Introduction to surface area of 3-dimensional shapes (free lessons)
7.2Nets of 3-dimensional shapes
7.3Surface area of prisms
7.4Surface area of cylinders

8Volume of 3-dimensional figures

8.1Introduction to volume
8.2Volume of prisms
8.3Volume of cylinders
8.4Word problems relating volume of prisms and cylinders

9Symmetry and Surface Area

9.1Line symmetry (free lessons)
9.2Rotational symmetry and transformations
9.3Surface area of 3-dimensional shapes (free lessons)

10Scale Factors and Similarity

10.1Enlargements and reductions with scale factors (free lessons)
10.2Scale diagrams
10.3Similar triangles
10.4Similar polygons

11Solving Linear Equations

11.1Solving linear equations using multiplication and division (free lessons)
11.2Solving two-step linear equations: ax+b=cax + b = c, xa+b=c{x \over a} + b = c
11.3Solving linear equations using distributive property: a(x+b)=ca(x + b) = c (free lessons)
11.4Solving linear equations with variables on both sides
11.5Solving literal equations

12Linear Inequalities

12.1Express linear inequalities graphically and algebraically (free lessons)
12.2Solving one-step linear inequalities (free lessons)
12.3Solving multi-step linear inequalities (free lessons)
12.4Compound inequalities

13Introduction to Relations and Functions

13.1Relationship between two variables (free lessons)
13.2Understand relations between x- and y-intercepts
13.3Domain and range of a function (free lessons)
13.4Identifying functions
13.5Function notation (free lessons)

14Functions

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

15Linear Functions

15.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} (free lessons)
15.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2) (free lessons)
15.3Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
15.4Gradient intercept form: y = mx + b (free lessons)
15.5General form: Ax + By + C = 0 (free lessons)
15.6Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1) (free lessons)
15.7Rate of change
15.8Graphing linear functions using table of values
15.9Graphing linear functions using x- and y-intercepts (free lessons)
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 (free lessons)
15.14Parallel and perpendicular lines in linear functions

16Solving Simultaneous Equations

16.1Determining number of solutions to linear equations (free lessons)
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 (free lessons)
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

17Laws of Indices

17.1Product rule of exponents (free lessons)
17.2Quotient rule of exponents
17.3Power of a product rule
17.4Power of a quotient rule
17.5Power of a power rule (free lessons)
17.6Negative exponent rule
17.7Combining the exponent rules
17.8Standard form
17.9Convert between radicals and rational exponents (free lessons)
17.10Solving for indices

18Sequences and Series

18.1Arithmetic sequences (free lessons)
18.2Arithmetic series (free lessons)
18.3Geometric sequences
18.4Geometric series
18.5Infinite geometric series
18.6Sigma notation
18.7Arithmetic mean vs. Geometric mean

19Exponential Functions

19.1Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)} (free lessons)
19.2Exponents: Division rule axay=a(x−y){a^x \over a^y}=a^{(x-y)}
19.3Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)} (free lessons)
19.4Exponents: Negative exponents
19.5Exponents: Zero exponent: a0=1 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

20Polynomials

20.1Characteristics of polynomials (free lessons)
20.2Equivalent expressions of polynomials
20.3Adding and subtracting polynomials

21Multiplication and Division of Polynomials

21.1Multiplying and dividing monomials (free lessons)
21.2Multiplying polynomials by monomials
21.3Dividing polynomials by monomials

22Factorising Polynomial Expressions

22.1Common factors of polynomials (free lessons)
22.2Factorising polynomials by grouping
22.3Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
22.4Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
22.5Factorising polynomials: x2+bx+cx^2 + bx + c (free lessons)
22.6Applications of polynomials: x2+bx+cx^2 + bx + c
22.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
22.8Factorising polynomials: ax2+bx+cax^2 + bx + c
22.9Factorising perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2 (free lessons)
22.10Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
22.11Evaluating polynomials
22.12Using algebra tiles to factorise polynomials
22.13Solving polynomial equations (free lessons)
22.14Word problems of polynomials

23Surds

23.1Square and square roots (free lessons)
23.2Cubic and cube roots
23.3Evaluating and simplifying surds
23.4Operations with surds (free lessons)
23.5Conversion between entire surds and mixed surds
23.6Adding and subtracting surds (free lessons)
23.7Multiplying surds
23.8Solving surd equations
23.9Rationalize the denominator

24Algebraic Fractions

24.1Simplifying algebraic fractions and restrictions
24.2Adding and subtracting algebraic fractions (free lessons)
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

25Reciprocal Functions

25.1Graphing reciprocals of linear functions
25.2Graphing reciprocals of quadratic functions

26Direct and Inverse Variation

26.1Direct variation

27Set Theory

27.1Set notation
27.2Set builder notation
27.3Intersection and union of 2 sets
27.4Intersection and union of 3 sets

28Probability

28.1Determining probabilities using tree diagrams and tables (free lessons)
28.2Probability of independent events
28.3Probability with Venn diagrams

29Statistics

29.1Median and mode
29.2Mean
29.3Range and outliers
29.4Application of averages
29.5Influencing factors in data collection (free lessons)
29.6Data collection

30Data and Graphs

30.1Reading and drawing bar graphs
30.2Reading and drawing histograms
30.3Reading and drawing line graphs
30.4Box-and-whisker plots and scatter plots
30.5Stem-and-leaf plots
30.6Reading and drawing Venn diagrams
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