DoingMaths - Free maths worksheets
  • Home
  • Algebra
    • Algebraic expressions
    • Algebraic equations
    • Expanding brackets
    • Index notation
    • Inequalities
    • Quadratic equations
    • Sequences
    • Simultaneous equations
    • Straight line graphs
    • Substitution
  • Shapes, space and measures
    • Angles
    • Circles
    • Circle theorems
    • Compound measures
    • Construction
    • Distance/speed-time graphs
    • Length, area and volume
    • Metric and Imperial conversions
    • Metric units of measurement
    • Proof
    • Pythagoras' Theorem
    • Scale factors, similarity and congruence
    • Symmetry and reflection
    • Time
    • Trigonometry
  • Number
    • Primary Addition and Subtraction
    • Addition and subtraction
    • Basic number work
    • BODMAS/PEMDAS/BIDMAS
    • Compound percentage change
    • Decimals
    • Factors and Multiples
    • Fractions
    • Fractions, decimals and percentages
    • Money
    • Multiplication and division
    • Percentages
    • Ratio and Proportion
    • Rounding and estimating
    • Standard form
  • Statistics and Probability
    • Averages and the Range
    • Box plots
    • Collecting data
    • Pie charts
    • Probability
  • More
    • Starters >
      • Puzzles and riddles
      • Maths Wordsearches
      • More Maths Lesson Starter Ideas
    • Christmas Maths Activities
    • Maths Articles >
      • Revision and How-To Guides >
        • How do Scale Factors Work for Area and Volume?
        • Edexcel GCSE Maths 2023 Paper 2: The Final Question
        • How to Find the Average From a Frequency Table
        • What Do the Angles in a Polygon Add Up To?
        • How to Integrate by Parts: Calculus Help
        • How to Use Pythagoras' Theorem
        • How to Calculate Compound Percentage Changes
        • How to Find Equivalent Fractions
        • How to Find the Averages and Range From Grouped Data
        • How to Factorise a Quadratic Algebraic Equation
        • How to Expand a Pair of Brackets
        • How to Complete the Square
        • How to Find the Average of a Group of Numbers
        • Hannah's Sweets - Tricky GCSE Question
        • Why Do We Rationalise the Denominator?
        • How to Add, Subtract, Multiply and Divide Fractions
        • How to Answer the 'Impossible' Question on the Edexcel GCSE Maths Paper 2022
        • How to Draw Pie Charts
        • How to Differentiate From First Principles
        • How to Solve Direct Proportion Questions
        • How to Calculate a Percentage of an Amount Using a Decimal Multiplier
        • How to Find the Lowest Common Multiple and Highest Common Factor of Two Numbers
        • How to Write a Number as a Product of Its Prime Factors
        • How to Solve a Quadratic Equation: 3 Methods
        • How To Solve the GCSE Maths Question That's Leaving Parents Stumped
        • How to Multiply Decimal Numbers Without a Calculator
      • How Many Gifts Do I Get Over the Twelve Days of Christmas?
      • How to Find the Sum of a Geometric Sequence
      • The Maths Behind A4 Paper
      • The Monty Hall Problem
      • Rationalizing the Denominator
      • How Do Binary Numbers Work?
      • Rice on a Chessboard
      • How to Prove Pi Equals 2
      • What is the Maximum Score in Ten-Pin Bowling?
      • The Prisoner's Dilemma
      • How Many Socks Make a Pair?
      • Four Interesting Types of Mathematical Numbers
      • How to Add the Numbers 1-100 Quickly
      • What Is the Sum of the Sequence 1, 1/2, 1/4, 1/8, 1/16, ...?
      • Find the Answer to 8×9×10×11×12 Without Using a Calculator
      • How to Prove that the Square root of 2 is Irrational
      • Three Interesting Fractals From Koch, Sierpinski and Cantor
      • How Many Squares Are on a Chessboard?
      • Different Kinds of Prime Numbers
      • How to Do Long Multiplication Using Napier's Method
      • The Handshake Problem
      • Why You Should Always Order the Large Pizza
      • Maximizing the Area of a Rectangle
      • Speed Arithmetic - How to Multiply by 11 Without a Calculator
      • Speed Arithmetic - How to Multiply and Divide by 5 Without a Calculator
      • Pythagoras' Theorem - A Proof
      • How Large Is Infinity?
      • Interesting Facts About Pascal's Triangle
      • Why Does Time Slow Down as You Approach the Speed of Light?
      • Five of History's Most Influential Women in STEM
      • Five More of History's Most Influential Women in STEM
      • How Likely Are You to Hit the Centre of the Archery Target?
      • Find Four Primes Smaller Than 100 Which Are Factors Of 3^32 − 2^32
      • Bertrand's Paradox: A Problem in Probability Theory
      • What Is an Erdős Number?
      • Three of Isaac Newton's Most Important Contributions to the World
      • Mathematical Numbers: What Is 'e'?
      • Hilbert's Paradox of the Grand Hotel: Another Look at Infinity
      • Decreasing the Circumference of Differently Sized Circles: A Counterintuitive Cricket Problem
      • Zeno's Paradox: Achilles and the Tortoise
      • What Are Hexadecimal Numbers?
      • Why Do We Split a Circle Into 360 Degrees?
      • N-bonacci Sequences - Taking Fibonacci Further
      • Being Careful When You Average an Average: A Basketball Problem
      • What Is a Dudeney Number?
      • Every Prime Number Larger Than 3 Is 1 Away From a Multiple of 6: A Proof
      • Why Do Buses Come in Threes?
      • A Quick Way to Solve 1000^2 − 999^2: The Difference of Two Squares
      • What Are Triangular Numbers?
      • What Is the Collatz Conjecture?
      • How to Make a Mathematical Paper Snowflake
      • What Is the Unexpected Hanging Paradox?
      • What Is Pi?
      • Is There a Biggest Prime Number or Do They Continue Infinitely?
    • A-Level Maths Paper Walkthroughs >
      • A-Level Maths, Edexcel, June 2018, Paper Walkthroughs >
        • A-Level Maths, June 2018, Pure Paper 1 Question Walkthroughs
        • A-Level Maths, June 2018, Pure Paper 2, Question Walkthroughs
        • A-Level Maths, June 2018, Statistics and Mechanics, Question Walkthroughs
      • A-Level Maths, Edexcel, June 2019, Paper Walkthroughs >
        • A-Level Maths, June 2019, Pure Paper 1, Question Walkthroughs
        • A-Level Maths, June 2019, Pure Paper 2, Question Walkthrough
        • A-Level Maths, June 2019, Statistics and Mechanics, Walkthrough answers
      • A-Level Maths, Edexcel, October 2020, Paper Walkthroughs >
        • A-Level Maths, October 2020, Pure Mathematics Paper 1, Question Walkthroughs
        • A-Level Maths, October 2020, Pure Mathematics Paper 2, Question Walkthroughs
        • A-Level Maths, October 2020, Statistics and Mechanics, Walkthrough answers
      • A-Level Maths, Edexcel, October 2021, Paper Walkthroughs >
        • A-Level Maths, October 2021, Pure Mathematics, Paper 1 Walkthroughs
        • A-Level Maths, October 2021, Pure Mathematics Paper 2 Walkthroughs
        • A-Level Maths, October 2021, Statistics and Mechanics, Walkthrough answers
      • A-Level Maths, Edexcel, June 2022, Paper 1 Walkthroughs
    • Mathematician of the Month
    • Tricky Geometry Problems
    • DoingMaths video channel
    • DoingMaths Shop
    • Contact us
    • Privacy policy

Construction and loci - Free maths worksheets and other resources

Free maths worksheets and PowerPoints about construction and loci. There are resources for constructing triangles, bisectors and loci.
Constructing an SSS triangle writing frame

Constructing a sss triangle writing frame

One of my favourite lessons ever. This is a writing frame I created to go along with a video of myself drawing a sss triangle. The pupils watch the video and make notes of what I am doing before writing their own instructions and trying to draw their own triangles.
I recommend making your own video to go with the frame as most children love seeing their own teacher being a bit silly on screen.
constructing_an_sss_triangle_writing_frame.pdf
File Size: 112 kb
File Type: pdf
Download File


SSS triangle construction worksheet

SSS triangle construction worksheet

A worksheet about constructing Side Side Side (SSS) triangles.
triangle_construction_sss.pdf
File Size: 108 kb
File Type: pdf
Download File


SAS triangle construction worksheet

SAS triangle construction worksheet

A worksheet about constructing Side Angle Side (SAS) triangles.
worksheet_sas_triangles.pdf
File Size: 113 kb
File Type: pdf
Download File


Constructing ASA triangles worksheet

Constructing ASA triangles worksheet

A worksheet about constructing Angle Side Angle (ASA) triangles.
worksheet_asa_triangles.pdf
File Size: 101 kb
File Type: pdf
Download File


Constructing triangles extension worksheet

Constructing triangles extension worksheet

Extension work on constructing SSS, SAS and ASA triangles.
triangle_construction_extension.pdf
File Size: 113 kb
File Type: pdf
Download File


Constructing triangles review worksheet

Triangle construction review worksheet

A worksheet with questions on constructing ASA, SSS and SAS triangles.
triangle_construction_review.pdf
File Size: 114 kb
File Type: pdf
Download File


Constructing angle bisectors worksheet

Angle bisectors worksheet

Ready drawn angles for pupils to bisect.
angle_bisectors.pdf
File Size: 88 kb
File Type: pdf
Download File


Constructing a perpendicular line worksheet

Constructing a perpendicular line worksheet

Instructions for constructing a perpendicular line. I use this as an extension for pupils who finish during other construction lessons.
perpendicular_line.pdf
File Size: 93 kb
File Type: pdf
Download File


Constructing perpendicular bisectors worksheet

Constructing perpendicular bisectors worksheet

A worksheet for pupils to practise constructing perpendicular bisectors. There is also a linked extension sheet for finding the reflection of a point in a line using pencil and compasses.
constructing_perpendicular_bisectors.pdf
File Size: 113 kb
File Type: pdf
Download File


Drawing loci worksheet

Drawing loci worksheet

A worksheet about drawing loci. This lesson should be started by taking pupils outside and asking them to create their own loci by walking aroung a partner (or line of pupils) while always remaining exactly an arm's length away.
loci.pdf
File Size: 150 kb
File Type: pdf
Download File

Free construction and loci maths worksheets

Home      Algebra      Shapes, space and measures      Number      Data handling      Starters      Internet articles      DoingMaths Youtube channel
© Copyright DoingMaths free worksheets 2026 - All Rights Reserved
  • Home
  • Algebra
    • Algebraic expressions
    • Algebraic equations
    • Expanding brackets
    • Index notation
    • Inequalities
    • Quadratic equations
    • Sequences
    • Simultaneous equations
    • Straight line graphs
    • Substitution
  • Shapes, space and measures
    • Angles
    • Circles
    • Circle theorems
    • Compound measures
    • Construction
    • Distance/speed-time graphs
    • Length, area and volume
    • Metric and Imperial conversions
    • Metric units of measurement
    • Proof
    • Pythagoras' Theorem
    • Scale factors, similarity and congruence
    • Symmetry and reflection
    • Time
    • Trigonometry
  • Number
    • Primary Addition and Subtraction
    • Addition and subtraction
    • Basic number work
    • BODMAS/PEMDAS/BIDMAS
    • Compound percentage change
    • Decimals
    • Factors and Multiples
    • Fractions
    • Fractions, decimals and percentages
    • Money
    • Multiplication and division
    • Percentages
    • Ratio and Proportion
    • Rounding and estimating
    • Standard form
  • Statistics and Probability
    • Averages and the Range
    • Box plots
    • Collecting data
    • Pie charts
    • Probability
  • More
    • Starters >
      • Puzzles and riddles
      • Maths Wordsearches
      • More Maths Lesson Starter Ideas
    • Christmas Maths Activities
    • Maths Articles >
      • Revision and How-To Guides >
        • How do Scale Factors Work for Area and Volume?
        • Edexcel GCSE Maths 2023 Paper 2: The Final Question
        • How to Find the Average From a Frequency Table
        • What Do the Angles in a Polygon Add Up To?
        • How to Integrate by Parts: Calculus Help
        • How to Use Pythagoras' Theorem
        • How to Calculate Compound Percentage Changes
        • How to Find Equivalent Fractions
        • How to Find the Averages and Range From Grouped Data
        • How to Factorise a Quadratic Algebraic Equation
        • How to Expand a Pair of Brackets
        • How to Complete the Square
        • How to Find the Average of a Group of Numbers
        • Hannah's Sweets - Tricky GCSE Question
        • Why Do We Rationalise the Denominator?
        • How to Add, Subtract, Multiply and Divide Fractions
        • How to Answer the 'Impossible' Question on the Edexcel GCSE Maths Paper 2022
        • How to Draw Pie Charts
        • How to Differentiate From First Principles
        • How to Solve Direct Proportion Questions
        • How to Calculate a Percentage of an Amount Using a Decimal Multiplier
        • How to Find the Lowest Common Multiple and Highest Common Factor of Two Numbers
        • How to Write a Number as a Product of Its Prime Factors
        • How to Solve a Quadratic Equation: 3 Methods
        • How To Solve the GCSE Maths Question That's Leaving Parents Stumped
        • How to Multiply Decimal Numbers Without a Calculator
      • How Many Gifts Do I Get Over the Twelve Days of Christmas?
      • How to Find the Sum of a Geometric Sequence
      • The Maths Behind A4 Paper
      • The Monty Hall Problem
      • Rationalizing the Denominator
      • How Do Binary Numbers Work?
      • Rice on a Chessboard
      • How to Prove Pi Equals 2
      • What is the Maximum Score in Ten-Pin Bowling?
      • The Prisoner's Dilemma
      • How Many Socks Make a Pair?
      • Four Interesting Types of Mathematical Numbers
      • How to Add the Numbers 1-100 Quickly
      • What Is the Sum of the Sequence 1, 1/2, 1/4, 1/8, 1/16, ...?
      • Find the Answer to 8×9×10×11×12 Without Using a Calculator
      • How to Prove that the Square root of 2 is Irrational
      • Three Interesting Fractals From Koch, Sierpinski and Cantor
      • How Many Squares Are on a Chessboard?
      • Different Kinds of Prime Numbers
      • How to Do Long Multiplication Using Napier's Method
      • The Handshake Problem
      • Why You Should Always Order the Large Pizza
      • Maximizing the Area of a Rectangle
      • Speed Arithmetic - How to Multiply by 11 Without a Calculator
      • Speed Arithmetic - How to Multiply and Divide by 5 Without a Calculator
      • Pythagoras' Theorem - A Proof
      • How Large Is Infinity?
      • Interesting Facts About Pascal's Triangle
      • Why Does Time Slow Down as You Approach the Speed of Light?
      • Five of History's Most Influential Women in STEM
      • Five More of History's Most Influential Women in STEM
      • How Likely Are You to Hit the Centre of the Archery Target?
      • Find Four Primes Smaller Than 100 Which Are Factors Of 3^32 − 2^32
      • Bertrand's Paradox: A Problem in Probability Theory
      • What Is an Erdős Number?
      • Three of Isaac Newton's Most Important Contributions to the World
      • Mathematical Numbers: What Is 'e'?
      • Hilbert's Paradox of the Grand Hotel: Another Look at Infinity
      • Decreasing the Circumference of Differently Sized Circles: A Counterintuitive Cricket Problem
      • Zeno's Paradox: Achilles and the Tortoise
      • What Are Hexadecimal Numbers?
      • Why Do We Split a Circle Into 360 Degrees?
      • N-bonacci Sequences - Taking Fibonacci Further
      • Being Careful When You Average an Average: A Basketball Problem
      • What Is a Dudeney Number?
      • Every Prime Number Larger Than 3 Is 1 Away From a Multiple of 6: A Proof
      • Why Do Buses Come in Threes?
      • A Quick Way to Solve 1000^2 − 999^2: The Difference of Two Squares
      • What Are Triangular Numbers?
      • What Is the Collatz Conjecture?
      • How to Make a Mathematical Paper Snowflake
      • What Is the Unexpected Hanging Paradox?
      • What Is Pi?
      • Is There a Biggest Prime Number or Do They Continue Infinitely?
    • A-Level Maths Paper Walkthroughs >
      • A-Level Maths, Edexcel, June 2018, Paper Walkthroughs >
        • A-Level Maths, June 2018, Pure Paper 1 Question Walkthroughs
        • A-Level Maths, June 2018, Pure Paper 2, Question Walkthroughs
        • A-Level Maths, June 2018, Statistics and Mechanics, Question Walkthroughs
      • A-Level Maths, Edexcel, June 2019, Paper Walkthroughs >
        • A-Level Maths, June 2019, Pure Paper 1, Question Walkthroughs
        • A-Level Maths, June 2019, Pure Paper 2, Question Walkthrough
        • A-Level Maths, June 2019, Statistics and Mechanics, Walkthrough answers
      • A-Level Maths, Edexcel, October 2020, Paper Walkthroughs >
        • A-Level Maths, October 2020, Pure Mathematics Paper 1, Question Walkthroughs
        • A-Level Maths, October 2020, Pure Mathematics Paper 2, Question Walkthroughs
        • A-Level Maths, October 2020, Statistics and Mechanics, Walkthrough answers
      • A-Level Maths, Edexcel, October 2021, Paper Walkthroughs >
        • A-Level Maths, October 2021, Pure Mathematics, Paper 1 Walkthroughs
        • A-Level Maths, October 2021, Pure Mathematics Paper 2 Walkthroughs
        • A-Level Maths, October 2021, Statistics and Mechanics, Walkthrough answers
      • A-Level Maths, Edexcel, June 2022, Paper 1 Walkthroughs
    • Mathematician of the Month
    • Tricky Geometry Problems
    • DoingMaths video channel
    • DoingMaths Shop
    • Contact us
    • Privacy policy