Browse ESHEETS’ self-marking maths worksheets by topic. Each worksheet gives students instant feedback as they practise, making them useful for independent revision, classroom tasks, homework and tutoring. The collection is designed mainly for secondary school and GCSE maths, with topics organised into 6 main content headings.
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- Algebra (immediately below)
- Geometry, shape and measures
- Number
- Ratio and proportion
- Probability
- Statistics
Algebra
Algebra is where many students move from “doing calculations” to working with unknowns, patterns and general rules. These worksheets are designed to help students practise one skill at a time before combining ideas in harder GCSE questions. Start with simplifying and solving equations if confidence is low, then move towards factorising, formulae, sequences and graphs.
Coordinates
- 3D coordinates
- Coordinates in the first quadrant
- Coordinates in 4 quadrants
- Finding an endpoint when given the midpoint (using grid)
- Finding the gradient between two points
- Midpoint of two coordinates on a grid
- Midpoint of two coordinates using a formula
Expanding
- Single brackets - easier
- Expanding single brackets and simplify #1
- Expanding double brackets - easier
- Expanding double brackets - harder
- Triple (three) brackets
Factorising
Functions
Quadratics
- Factorising quadratic expressions
- Solving quadratic equations
- Factorising quadratics (harder)
- Solving harder quadratic equations
- Completing the square
- Turning points
- Quadratic Formula - decimal solutions
- The discriminant
- Solving quadratics using graphs
Sequences
- Fibonacci sequences
- Generating arithmetic / linear sequences
- nth term of an arithmetic / linear sequence
- Generating quadratic sequences
- nth term of a quadratic sequence
Simplifying
Solving equations
- Balancing equations tool
- Unknown values puzzle
- One-step equations
- Two-step equations
- Unknown variables on both sides of the equation
Straight line graphs
- Equation of horizontal and vertical lines
- Equation of a linear (straight line) graph
- Equation of a straight line given two coordinates
- Equation of a parallel line
- Equation of a perpendicular line
- Equation of a tangent
- Gradient
- Negative reciprocals
Substitution
Geometry, shape and measures
Geometry and measures questions often reward careful diagrams, accurate use of formulae and clear reasoning. Students need to recognise which facts apply, whether they are working with lengths, angles, areas or volumes, and how different parts of a shape connect. These worksheets help students practise both the calculation side of geometry and the logical thinking needed for multi-step problems.
3d objects
Area, perimeter and surface area
- Area and perimeter of rectangles and squares
- Perimeter of rectangles with mixed metric units e.g. cm and mm
- Perimeter of compound rectangles
- Area of a triangle
- Area of a trapezium
- Approximating pi tool
- Circumference of a circle (decimal answers)
- Circumference in terms of pi
- Perimeter of a sector
- Area of a circle
- Area of a sector
- Compound area
- Surface area of a cube
- Surface area of a cuboid
- Surface area of a triangular prism
Circle Theorems
Compound measures
Constructions and Loci
Converting units
- Converting units of mass e.g. kg, grams and mg
- Converting capacity e.g. litres, cL and mL
- Converting lengths e.g. metres, cm and mm
- Miles and kilometres
- Converting metric units of area
Pythagoras' Theorem
- Perigal's dissection interactive tool
- Finding the hypotenuse
- Finding a shorter side
- Mixed questions
- Pythagoras in simplified surd form
- Pythagoras and isosceles triangles
Similarity
Trigonometry
- Find missing angles
- Finding missing sides
- Non-calculator trigonometry problems
- Cosine rule - missing sides
- Cosine rule - missing angles
- Sine rule - missing sides
- Sine rule - missing angles
- Sine rule - the ambiguous case
Number
Number skills sit underneath almost every other part of GCSE maths. Students who are confident with calculations, fractions, decimals, percentages and rounding usually find later topics much easier. Use these worksheets to build fluency, spot weak basics, and practise the skills that often decide whether a longer exam question falls apart or becomes manageable.
Converting fractions, decimals and percentages - FDP
- Decimals to fractions
- Decimals to percentages
- Fractions to decimals
- Fractions to percentages
- Percentages to decimals
- Percentages to fractions
Decimals
- Converting decimals to fractions
- Ordering decimals
- Adding and subtracting decimals
- Multiplying decimals
- Dividing by a decimal
Division
Fractions
- Equivalent fractions
- Cancelling down fractions to their simplest form
- Convert improper fractions to mixed numbers
- Converting mixed numbers to improper fractions
- Multiplying fractions
- Multiplying and then simplifying
- Multiplying mixed number fractions
- Dividing fractions
- Dividing mixed fractions
- Adding fractions with the same denominator
- Adding and subtracting fractions with the same denominator
- Adding and subtracting fractions with different denominators
- Adding and subtracting mixed number fractions
- Converting percentages to fractions
- Unitary fractions of amounts
- Non-unitary fractions of amounts
Multiplication
- Multiplying by 10, 100 and 1000
- Single digit multiplication
- Multiplication tables 2 to 12
- Place value breakdown - good prep for grid method multiplication
- Multiplication using grid method - increasing levels of difficulty
- 2x1 Multiplication with grid method
- 2x2 Multiplication with grid method
- 3x2 Multiplication with grid method
- Multiplying decimals
Negatives
Order of operations
Percentages
- Calculating 10% of an amount
- Calculating 5% of an amount
- Calculating 1% of an amount
- Finding any percentage of an amount
- Increases and decreases
- Multipliers
- Percentage change
- Simple interest
- Compound interest increases
- Compound depreciation
- Reverse percentage calculations
- Converting percentages to fractions
Place value
Powers, roots, indices and surds
- Positive integer powers
- Positive fractional powers
- Negative integer powers
- Square roots and fractional powers
- Evaluating fractional and negative powers
- Index laws of multiplication
- Index laws of division
- Simplifying surds
- Multiplying surds
- Adding and subtracting surds
- Expanding single brackets with surds
- Expanding double brackets with surds
- Rationalising the denominator (easier)
- Rationalising the denominator (medium)
- Rationalising the denominator (harder)
- Squares and square roots
- Cubes and cube roots
Rounding and accuracy
- Rounding to the nearest integer (whole number)
- Rounding to the nearest hundred
- Rounding to the nearest 1000
- Rounding to one decimal place
- Rounding to two decimal places
- Mixed rounding questions
- Truncation
- Estimation
Significant figures
- Rounding larger numbers to one significant figure
- Rounding larger numbers to two significant figures
- Rounding larger numbers to three significant figures
- Rounding small numbers to one significant figure
- Rounding small numbers to two significant figures
Standard form
- Converting larger numbers from standard form
- Converting smaller numbers from standard form
- Converting large numbers into standard form
- Converting small numbers into standard form
- Multiplying in standard form
- Dividing in standard form
- Adding in standard form
- Subtracting in standard form
Time
Two-way tables
Probability
Probability is about measuring chance and making sense of uncertain events. Students often need practice choosing the right representation, such as a probability scale, sample space, frequency tree, Venn diagram or tree diagram. These worksheets help students build confidence with both simple probability calculations and the more structured reasoning needed for combined events.
- Frequency trees
- Probability as fractions, decimals and percentages
- Visualisation tool - balls in a box
Ratio and proportion
This part of maths is about comparing quantities and understanding how one value changes in relation to another. It appears in many real-life GCSE contexts, including recipes, maps, prices, speed, density, pressure, percentages and growth. These worksheets are useful for students who can often “do the calculation” but need more practice choosing the right method from the wording of a problem.
Ratio
Proportion
- Currency conversion
- Currency conversion graphs
- Direct proportion
- Direct proportion to the square
- Direct proportion to the square root
- Direct proportion to the cube
- Inverse proportion
- Inverse proportion to the square
- Inverse proportion to the square root
- Inverse proportion to the cube
- Recipe problems
- Unitary method
Statistics
Statistics is about collecting, displaying, interpreting and comparing data. In GCSE maths, students need to do more than calculate an average or draw a chart: they also need to explain what the data shows and choose suitable methods. These worksheets help students practise reading information carefully, using diagrams accurately and comparing distributions in a meaningful way.
- Interpreting pictograms
- Composite bar charts
- Calculating angles on pie charts
- Reading or interpreting pie charts
- Frequency trees
- Capture recapture
- Calculating the mean
- Finding a missing value in a dataset using the mean
- Finding the median
- Finding the mode
- Finding the range
- Analysing frequency tables (mean, median , mode and range)
- Analysing grouped frequency tables (mean, median and mode)
- Interquartile range
- Interpreting Stem and Leaf diagrams
- Stratified sampling
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