GCSE maths revision

All the free resources you need for GCSE maths revision: revision guides, diagnostic assessments, GCSE maths papers
(foundation & higher), worksheets, practice, exam questions and more.

GCSE Maths
GCSE Maths

What GCSE maths revision resources are available?

Downloadable GCSE maths worksheets on all major GCSE maths topics: Algebra, Number, Ratio and Proportion, Statistics, Probability, Geometry and Measure.

GCSE maths revision guides with step by step examples, misconceptions, practice and exam style questions.

GCSE maths papers (and mark schemes) closely matched to past papers from AQA, OCR and Edexcel. Also useful for the WJEC and CCEA exam boards and the IGCSE. Foundation tier and higher tier sets available.

GCSE maths revision mats suitable for use with the whole class or in small group tutorials.

All topics Algebra Geometry and Measure Number Probability Ratio and Proportion Statistics Mixed topic

Algebra

Algebraic Expression
Algebraic notation

Algebra

Equivalent expressions

Algebra

Collecting like terms

Algebra

Simplifying algebraic fractions

Algebra

Factorising single bracket

Algebra

Factorising quadratics

Algebra

Difference of two squares

Algebra

Adding and subtracting algebraic fractions

Algebra

Algebraic terms

Algebra

Multiplying and dividing algebraic fractions

Algebra

Algebra

Simplifying Expressions
Algebraic notation

Algebra

Equivalent expressions

Algebra

Collecting like terms

Algebra

Algebraic terms

Algebra

Simplifying algebraic fractions

Algebra

Adding and subtracting algebraic fractions

Algebra

Multiplying and dividing algebraic fractions

Algebra

Algebra

Expanding Brackets

Algebra

Factorising

Algebra

Equations
Equations with fractions

Algebra

Forming and solving equations

Algebra

Iteration maths

Algebra

Solving quadratic equations by factorising

Algebra

Quadratic formula

Algebra

Rearranging equations

Algebra

Make x the subject

Algebra

Quadratic simultaneous equations

Algebra

Solving simultaneous equations graphically

Algebra

Algebra

Solving Equations
Equations with fractions

Algebra

Forming and solving equations

Algebra

Iteration maths

Algebra

Solving quadratic equations by factorising

Algebra

Quadratic formula

Algebra

Algebra

Rearranging Equations
Rearranging equations

Algebra

Make x the subject

Algebra

Algebra

Simultaneous Equations
Quadratic simultaneous equations

Algebra

Solving simultaneous equations graphically

Algebra

Algebra

Maths formulas
Maths formulas

Algebra

Rearranging formulae

Algebra

Changing the subject of a formula

Algebra

Kinematic formulae

Algebra

Algebra

Interpreting graphs
Graph transformations

Algebra

Interpreting graphs

Algebra

Plotting graphs

Algebra

Sketching graphs

Algebra

Algebra

Types of Graphs
Coordinates maths

Algebra

Gradient of a line

Algebra

y=mx+c

Algebra

Linear graph

Algebra

Equation of a line

Algebra

Parallel and perpendicular lines

Algebra

How to find the y intercept and the x intercept

Algebra

How to find the midpoint

Algebra

Intersecting lines

Algebra

Plotting quadratic graphs

Algebra

Solving quadratic equations graphically

Algebra

Sketching quadratic graphs

Algebra

Exponential graph

Algebra

Reciprocal graph

Algebra

Circle graph

Algebra

Distance formula

Algebra

Algebra

Inequalities
Greater than sign

Algebra

Less than sign

Algebra

Inequalities on a number line

Algebra

Solving inequalities

Algebra

Linear inequalities

Algebra

Quadratic inequalities

Algebra

Inequalities on a graph

Algebra

Algebra

Sequences
Arithmetic sequences

Algebra

Geometric sequences

Algebra

Recurrence relation

Algebra

Quadratic sequences

Algebra

Quadratic nth term

Algebra

Algebra

Functions
Function machines

Algebra

Function notation (basic)

Algebra

Composite functions

Algebra

Exponential function

Algebra

Inverse functions

Algebra

Algebra

Laws of Indices
Multiplying indices

Algebra

Dividing indices

Algebra

Negative indices

Algebra

Fractional indices

Algebra

Brackets with indices

Algebra

Index notation

Algebra

Algebra

Proof maths
Mathematical proof

Algebra

Prove algebraically

Algebra

Number

Arithmetic
Calculator skills

Number

Money problems maths

Number

Number

Rounding Numbers
Place value

Number

Rounding to the nearest 10 100 and 1000

Number

Significant figures

Number

Decimal places

Number

Rounding decimals

Number

Truncation

Number

Upper and lower bounds

Number

How to calculate upper and lower bounds

Number

Error intervals

Number

Number

Factors, multiples and primes
Factors, multiples and primes

Number

Factors and multiples

Number

Factors

Number

Multiples

Number

Prime numbers

Number

Prime factors

Number

Factor trees

Number

Lowest common multiple

Number

Highest common factor

Number

HCF and LCM

Number

Number

Negative numbers
Adding and subtracting negative numbers

Number

Multiplying and dividing negative numbers

Number

Number

Fractions, decimals and percentages
Fractions, decimals and percentages

Number

Decimals to Percentages

Number

Converting fractions decimals and percentages

Number

Decimals to fractions

Number

Fractions to decimals

Number

Fractions to percentages

Number

Percentage to decimal

Number

Percentages to fractions

Number

Recurring decimals to fractions

Number

Decimal number line

Number

Decimal place value

Number

Adding and subtracting decimals

Number

Adding decimals

Number

Subtracting decimals

Number

Dividing decimals

Number

Multiplying and dividing decimals

Number

Multiplying decimals

Number

Fractions of amounts

Number

Improper fractions to mixed numbers

Number

Mixed number to improper fraction

Number

Numerator and denominator

Number

Adding and subtracting fractions

Number

Adding fractions

Number

Subtracting fractions

Number

Comparing fractions

Number

Equivalent fractions

Number

Ordering fractions

Number

Simplifying fractions

Number

Dividing fractions

Number

Multiplying and dividing fractions

Number

Multiplying fractions

Number

One number as a percentage of another

Number

Percentage change

Number

Percentage decrease

Number

Percentage increase

Number

Percentage multipliers

Number

Percentage of an amount

Number

Percentage profit

Number

Reverse percentages

Number

Number

Fractions
Fractions of amounts

Number

Improper fractions to mixed numbers

Number

Mixed number to improper fraction

Number

Numerator and denominator

Number

Adding and subtracting fractions

Number

Adding fractions

Number

Subtracting fractions

Number

Comparing fractions

Number

Equivalent fractions

Number

Ordering fractions

Number

Simplifying fractions

Number

Dividing fractions

Number

Multiplying and dividing fractions

Number

Multiplying fractions

Number

Number

Decimals
Decimal number line

Number

Decimal place value

Number

Adding and subtracting decimals

Number

Adding decimals

Number

Subtracting decimals

Number

Dividing decimals

Number

Multiplying and dividing decimals

Number

Multiplying decimals

Number

Number

Percentages
Percentage of an amount

Number

Percentage multipliers

Number

Percentage increase

Number

Percentage decrease

Number

Percentage change

Number

Reverse percentages

Number

One number as a percentage of another

Number

Percentage profit

Number

Number

Converting fractions decimals and percentages
Decimals to Percentages

Number

Converting fractions decimals and percentages

Number

Decimals to fractions

Number

Fractions to decimals

Number

Fractions to percentages

Number

Percentage to decimal

Number

Percentages to fractions

Number

Recurring decimals to fractions

Number

Number

Powers and roots
Square numbers and square roots

Number

Cube numbers and cube roots

Number

To the power of

Number

Negative powers

Number

Fractional powers

Number

Expressing a power with a different base

Number

Number

Standard Form
Converting to and from standard form

Number

Adding standard form and subtracting standard form

Number

Multiplying and dividing in standard form

Number

Number

Simple & Compound Interest
Simple interest and compound interest

Number

Simple interest

Number

Compound interest

Number

Depreciation

Number

Number

Types of numbers
Types of numbers

Number

Triangular numbers

Number

Rational numbers

Number

Irrational numbers

Number

Reciprocal maths

Number

Natural numbers

Number

Number

Surds
Simplifying surds

Number

Adding and subtracting surds

Number

Multiplying and dividing surds

Number

Rationalising surds

Number

Rationalise the denominator

Number

Geometry

2D shapes
Area of a segment

Geometry

Circles, sectors and arcs

Geometry

Equation of a circle

Geometry

Segment of a circle

Geometry

Arc length

Geometry

Arc of a circle

Geometry

Area and circumference of a circle

Geometry

Circumference of a circle

Geometry

Equation of tangent

Geometry

Parts of a circle

Geometry

Area of a sector

Geometry

Perimeter of a sector

Geometry

Sector of a circle

Geometry

Area of a circle

Geometry

Area of a hexagon

Geometry

Area of a parallelogram

Geometry

Area of a pentagon

Geometry

Area of a quadrilateral

Geometry

Area of a rectangle

Geometry

Area of a rhombus

Geometry

Area of a right angled triangle

Geometry

Area of a trapezium

Geometry

Area of a triangle

Geometry

Area of an equilateral triangle

Geometry

Area of an isosceles triangle

Geometry

Area of compound shapes

Geometry

How to work out area

Geometry

Pi r^2 (pi r squared)

Geometry

How to work out perimeter

Geometry

Perimeter of compound shapes

Geometry

Hexagon shape

Geometry

Irregular polygon

Geometry

Regular polygon

Geometry

Types of quadrilaterals

Geometry

Equilateral triangle

Geometry

Isosceles triangle

Geometry

Right angle triangle

Geometry

Scalene triangle

Geometry

Triangles

Geometry

Types of triangles

Geometry

Lines of symmetry

Geometry

Rotational symmetry

Geometry

Symmetry

Geometry

Geometry

Polygons
Irregular polygon

Geometry

Regular polygon

Geometry

Hexagon shape

Geometry

Types of quadrilaterals

Geometry

Equilateral triangle

Geometry

Isosceles triangle

Geometry

Right angle triangle

Geometry

Scalene triangle

Geometry

Triangles

Geometry

Types of triangles

Geometry

Geometry

Symmetry
Symmetry

Geometry

Rotational symmetry

Geometry

Lines of symmetry

Geometry

Geometry

Area
Area

Geometry

How to work out area

Geometry

Area of a triangle

Geometry

Area of a right angled triangle

Geometry

Area of an isosceles triangle

Geometry

Area of an equilateral triangle

Geometry

Area of a quadrilateral

Geometry

Area of a rectangle

Geometry

Area of a parallelogram

Geometry

Area of a rhombus

Geometry

Area of a trapezium

Geometry

Area of a hexagon

Geometry

Area of a pentagon

Geometry

Area of compound shapes

Geometry

Area of a circle

Geometry

Pi r^2 (pi r squared)

Geometry

Geometry

How to work out perimeter
How to work out perimeter

Geometry

Perimeter of compound shapes

Geometry

Geometry

Circles, sectors and arcs
Area of a segment

Geometry

Circles, sectors and arcs

Geometry

Equation of a circle

Geometry

Segment of a circle

Geometry

Arc length

Geometry

Arc of a circle

Geometry

Area and circumference of a circle

Geometry

Circumference of a circle

Geometry

Equation of tangent

Geometry

Parts of a circle

Geometry

Area of a sector

Geometry

Perimeter of a sector

Geometry

Sector of a circle

Geometry

Geometry

Angles
Angles

Geometry

Angles around a point

Geometry

Angles on a straight line

Geometry

Complementary angles

Geometry

Supplementary angles

Geometry

Types of angles

Geometry

Vertically opposite angles

Geometry

Alternate angles

Geometry

Angles in parallel lines

Geometry

Co interior angles

Geometry

Corresponding angles

Geometry

Angles in a hexagon

Geometry

Angles in a pentagon

Geometry

Angles in a quadrilateral

Geometry

Angles in a triangle

Geometry

Angles in polygons

Geometry

Exterior angles of a polygon

Geometry

Interior angles of a polygon

Geometry

Geometry

Angle rules
Types of angles

Geometry

Angles on a straight line

Geometry

Angles around a point

Geometry

Complementary angles

Geometry

Supplementary angles

Geometry

Vertically opposite angles

Geometry

Geometry

Angles in polygons
Angles in polygons

Geometry

Interior angles of a polygon

Geometry

Exterior angles of a polygon

Geometry

Angles in a triangle

Geometry

Angles in a quadrilateral

Geometry

Angles in a hexagon

Geometry

Angles in a pentagon

Geometry

Geometry

Angles in parallel lines
Angles in parallel lines

Geometry

Alternate angles

Geometry

Corresponding angles

Geometry

Co interior angles

Geometry

Geometry

3D shapes
3D shape names

Geometry

Faces, edges and vertices

Geometry

How to calculate surface area

Geometry

Plans and elevations

Geometry

Cone

Geometry

Surface area of a cone

Geometry

Volume of a cone

Geometry

Cuboid

Geometry

Surface area of a cube

Geometry

Surface area of a cuboid

Geometry

Volume of a cube

Geometry

Volume of a cuboid

Geometry

Cylinder

Geometry

Surface area of a cylinder

Geometry

Volume of a cylinder

Geometry

Hemisphere shape

Geometry

Surface area of a hemisphere

Geometry

Volume of a hemisphere

Geometry

How to calculate volume

Geometry

Volume formula

Geometry

Prism

Geometry

Surface area of a prism

Geometry

Volume of a prism

Geometry

Pyramid

Geometry

Surface area of a pyramid

Geometry

Triangular based pyramid

Geometry

Volume of a pyramid

Geometry

Square based pyramid

Geometry

Volume of square based pyramid

Geometry

Sphere

Geometry

Surface area of a sphere

Geometry

Volume of a sphere

Geometry

Surface area of a triangular prism

Geometry

Triangular prism

Geometry

Volume of a triangular prism

Geometry

Geometry

How to calculate volume
How to calculate volume

Geometry

Volume formula

Geometry

Geometry

Prism
Prism

Geometry

Volume of a prism

Geometry

Surface area of a prism

Geometry

Geometry

Cuboid
Cuboid

Geometry

Surface area of a cube

Geometry

Surface area of a cuboid

Geometry

Volume of a cube

Geometry

Volume of a cuboid

Geometry

Geometry

Triangular prism
Triangular prism

Geometry

Volume of a triangular prism

Geometry

Surface area of a triangular prism

Geometry

Geometry

Sphere
Sphere

Geometry

Volume of a sphere

Geometry

Surface area of a sphere

Geometry

Geometry

Hemisphere
Hemisphere shape

Geometry

Volume of a hemisphere

Geometry

Surface area of a hemisphere

Geometry

Geometry

Cone
Cone

Geometry

Volume of a cone

Geometry

Surface area of a cone

Geometry

Geometry

Cylinder
Cylinder

Geometry

Volume of a cylinder

Geometry

Surface area of a cylinder

Geometry

Geometry

Pyramid
Pyramid

Geometry

Surface area of a pyramid

Geometry

Triangular based pyramid

Geometry

Volume of a pyramid

Geometry

Square based pyramid

Geometry

Volume of square based pyramid

Geometry

Geometry

Pythagoras theorem
Pythagoras theorem

Geometry

3D Pythagoras

Geometry

Geometry

Trigonometry
3D trigonometry

Geometry

Hypotenuse

Geometry

Exact trig values

Geometry

Trigonometry table

Geometry

Cos graph

Geometry

Sin cos tan graphs

Geometry

Sin graph

Geometry

Tan graph

Geometry

Trig graphs

Geometry

Area of a triangle trig: 1/2abSinC

Geometry

Cosine rule

Geometry

Sin cos tan

Geometry

Sine rule

Geometry

SOHCAHTOA

Geometry

Trig identities

Geometry

Trigonometric functions

Geometry

Trigonometry formula

Geometry

Geometry

Circle theorems
Circle theorems

Geometry

Alternate segment theorem

Geometry

Angle at the centre is twice the angle at the circumference

Geometry

Angles in the same segment are equal

Geometry

Angle in a semicircle

Geometry

Chord of a circle

Geometry

Tangent of a circle

Geometry

Cyclic quadrilateral

Geometry

Subtended

Geometry

Geometry

Vectors
Vectors

Geometry

Vector notation

Geometry

Column vector

Geometry

Magnitude of a vector

Geometry

Vector addition

Geometry

Vector subtraction

Geometry

Vector multiplication

Geometry

Vector problems

Geometry

Geometry

Loci And Construction
Loci And Construction

Geometry

Loci

Geometry

Bearings

Geometry

Constructions

Geometry

Perpendicular bisector

Geometry

Angle bisector

Geometry

Constructing triangles

Geometry

How to draw a hexagon

Geometry

How to construct a 30, 60, 45, 90 degree angle

Geometry

Constructions between points and lines

Geometry

Geometry

Transformations
Transformations

Geometry

Enlargement

Geometry

Centre of enlargement

Geometry

Scale factor

Geometry

Reflection

Geometry

Rotations

Geometry

Translation

Geometry

Geometry

Congruence and similarity
Congruence and similarity

Geometry

Similar shapes

Geometry

Congruent shapes

Geometry

Congruent triangles

Geometry

Statistics

Types of data
Types of data

Statistics

Statistics

Mean, median, mode
Mean, median, mode

Statistics

Mean

Statistics

Median

Statistics

Mode or modal

Statistics

Range

Statistics

Statistics

Representing data
Bar chart

Statistics

Frequency diagram

Statistics

Frequency graph

Statistics

Frequency polygon

Statistics

Line graph

Statistics

Pictograph

Statistics

Pie chart

Statistics

Representing data

Statistics

Scatter graphs

Statistics

Stem and leaf diagram

Statistics

Tally chart

Statistics

Time series graph

Statistics

Two way tables

Statistics

x and y axis

Statistics

Statistics

Frequency tables
Averages from frequency tables

Statistics

Frequency table

Statistics

Grouped frequency table

Statistics

Mean from a frequency table

Statistics

Median from a frequency table

Statistics

Modal class

Statistics

Mode from a frequency table

Statistics

Statistics

Cumulative frequency
Cumulative frequency

Statistics

Box plot

Statistics

Interquartile range

Statistics

Quartile

Statistics

Statistics

Histograms
Frequency density

Statistics

Frequency density formula

Statistics

Statistics

Types of sampling
Types of sampling methods

Statistics

Collecting data

Statistics

Random sampling

Statistics

Capture recapture

Statistics

Stratified sampling

Statistics

Systematic sampling

Statistics

Probability

Describing probability
Describing probability

Probability

Probability notation

Probability

Probability scale

Probability

Probability symbol

Probability

Probability

Probability distribution
Probability distribution

Probability

Expected frequency

Probability

Theoretical probability

Probability

Relative frequency

Probability

Experimental probability

Probability

Probability

How to calculate probability
How to calculate probability

Probability

Conditional probability

Probability

Frequency trees

Probability

Independent events

Probability

Mutually exclusive events

Probability

Probability formula

Probability

Probability tree diagram

Probability

Constructing venn diagrams

Probability

Set notation

Probability

Venn diagram

Probability

Venn diagram probability

Probability

Venn diagram symbols

Probability

Venn diagram union and intersection

Probability

Probability

Combined events
Combined events probability

Probability

Product rule for counting

Probability

Systematic listing strategies

Probability

Sample space diagram

Probability

Ratio

Ratio
How to work out ratio

Ratio

Simplifying ratios

Ratio

Ratio to fraction

Ratio

Dividing ratios

Ratio

Ratio problem solving

Ratio

Ratio to percentage

Ratio

Ratio scale

Ratio

Ratio

Proportion
Direct and indirect proportion

Ratio

Directly proportional graph / inversely proportional graph

Ratio

Direct proportion

Ratio

Direct proportion formula

Ratio

Inverse proportion

Ratio

Inverse proportion formula

Ratio

Ratio

Compound measures
Compound measures

Ratio

Speed distance time

Ratio

Formula for speed

Ratio

Average speed formula

Ratio

Mass density volume

Ratio

Formula for density

Ratio

How to find mass with density and volume

Ratio

Population density

Ratio

Pressure force area

Ratio

Pressure formula

Ratio

Flow rate

Ratio

Ratio

Best buy
Best buy maths

Ratio

Ratio

Scale
Scale maths

Ratio

Scale diagram

Ratio

Scale drawing

Ratio

Ratio

Units of measurement
Units of measurement

Ratio

Metric units of measurement

Ratio

Converting metric units

Ratio

Conversion of units

Ratio

Converting units of area and volume

Ratio

Converting units of time

Ratio

Ratio

Conversion graphs
Conversion graphs

Ratio

Exchange rates

Ratio

Ratio

Rates of change
Rate of change

Ratio

Speed time graph

Ratio

Distance time graph

Ratio

Mixed topic

Revision lists
GCSE Revision Lists: Foundation & Higher (2023)

Mixed topic

GCSE Maths Exams Advance Information Checklists (2022)

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Mixed topic

Revision mats
Algebra revision mat

Mixed topic

Geometry & Measure revision mat

Mixed topic

Number revision mat

Mixed topic

Probability revision mat

Mixed topic

Ratio & Proportion revision mat

Mixed topic

Statistics revision mat

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Mixed topic

Edexcel past papers
Edexcel Maths Foundation Papers: Set 2

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Edexcel Maths Higher Papers: Set 2

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Edexcel Maths Foundation Papers: Set 1b

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Edexcel Maths Higher Papers: Set 1b

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Edexcel Maths Foundation Papers: Set 1a

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Edexcel Maths Higher Papers: Set 1a

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AQA past papers
AQA Maths Foundation Papers: Set 2

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AQA Maths Higher Papers: Set 2

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AQA Maths Foundation Papers: Set 1a

Mixed topic

AQA Maths Higher Papers: Set 1a

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OCR past papers
OCR Maths Foundation Papers: Set 1a

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OCR Maths Higher Papers: Set 1a

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Formula sheets
GCSE Maths Formula Sheets

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Revision timetables
Printable GCSE Exam Timetable

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Editable GCSE Revision Timetable

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Questions and practice problems
15 Pythagoras Theorem Questions And Practice Problems Worksheet

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15 Venn Diagrams Questions And Practice Problems Worksheet

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15 Trigonometry Questions And Practice Problems Worksheet

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15 Simultaneous Equations Questions And Practice Problems Worksheet

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15 Ratio Questions And Practice Problems Worksheet

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15 Probability Questions And Practice Problems Worksheet

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15 Algebra Questions And Practice Problems Worksheet

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25 GCSE Exam Questions Worksheet

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30 Problem Solving Maths Questions, Solutions & Strategies

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Exemplar Same Surface Different Depth Questions

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Manipulatives
Algebra Tiles Template

Mixed topic

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