UK Year 10 Maths made completely easy!

Get better maths marks with our complete Year 10 Maths help. We got you covered – whether it’s Key Stage 4 Maths (National Curriculum), or 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 teachers. Let’s finish your homework in no time, and ACE that test.

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Common Questions
I’m in 10th grade in UK, and I want to also revise KS3 maths to prepare for my GCSE maths next year. Which course should I sign up for?

No worries! Your StudyPug subscription gives you unlimited access to all math 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?

A prerequisite for this course is Year 9 Maths, and after you mastered year 10 maths, your follow up course should be Year 11 Maths.

Customer Reviews
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Leon Ward

Been nervous about my GCSE maths last year and now that I’m in year 10 maths, I’m more anxious than ever. I’m so happy to have access to StudyPug since that’s how I get my regular maths homework done. I now use it to help me with GCSE maths revision and it feels good to have StudyPug to turn to when I’m stuck.

Zachary Parkes

I help tutor children who are getting ready for their GCSE maths test. I use StudyPug to help me assign homework and also I take a leaf out of their book to help me explain difficult concepts in an easy-to-understand manner.

Dominic Kelly

This site is very useful for year 10 maths pupils. My daughter was doing poorly in maths and we thought for sure she’d have to repeat a year or something. We got her StudyPug to just help her with understanding concepts through the video instructors on things she didn’t understand from class. Turns out it is also amazing for GCSE maths revision!

Eloise Jenkins

Lots of practical material on the site that helps me get my pupils ready for their KS3 maths curriculum.

Jay Yates

I wanted to find help for GCSE maths online and StudyPug was exactly what I was looking for.

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UK Year 10 Maths Topics

We have plenty of free lessons for you to watch

1.Number 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

2.Ratios, Rates, and Proportions

2.1Ratios (free lessons)
2.2Rates
2.3Proportions

3.Percents

3.1Representing percents (free lessons)
3.2Percents, fractions, and decimals
3.3Percent of a number
3.4Adding and multiplying percents

4.Measuring Systems

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

5.Pythagorean 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

6.Coordinates, Quadrants, and Transformations

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

7.Surface 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

8.Volume 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

9.Symmetry and Surface Area

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

10.Scale Factors and Similarity

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

11.Solving 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

12.Linear Inequalities

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

13.Introduction 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)

14.Functions

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)
14.8Inverse functions
14.9One to one functions
14.10Difference quotient: applications of functions

15.Linear 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

16.Solving 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

17.Laws 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
17.8Scientific notation
17.9Convert between radicals and rational exponents (free lessons)

18.Sequences 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

19.Exponential 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
19.7Graphing exponential functions
19.8Graphing transformations of exponential functions
19.9Finding an exponential function given its graph

20.Polynomials

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

21.Multiplication and Division of Polynomials

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

22.Factorising 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 solve polynomials
22.13Solving polynomial equations (free lessons)
22.14Word problems of polynomials

23.Surds

23.1Square and square roots (free lessons)
23.2Cubic and cube roots
23.3Evaluating and simplifying surds
23.4Converting radicals to mixed surds
23.5Converting radicals to entire surds (free lessons)
23.6Adding and subtracting surds
23.7Multiplying and dividing surds
23.8Rationalize the denominator

24.Algebraic 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

25.Probability

25.1Determining probabilities using tree diagrams and tables (free lessons)
25.2Probability of independent events
25.3Probability with Venn diagrams

26.Set Theory

26.1Set builder notation

27.Statistics

27.1Median and mode
27.2Mean
27.3Range and outliers
27.4Application of averages
27.5Influencing factors in data collection (free lessons)
27.6Data collection

28.Data and Graphs

28.1Reading and drawing histograms
28.2Reading and drawing line graphs
28.3Box-and-whisker plots and scatter plots
28.4Stem-and-leaf plots
28.5Reading and drawing Venn diagrams
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