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We are a maths GCSE website, helping parents, students and teachers.

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We are a maths GCSE website, helping parents, students and teachers.
Factors and Primes Worksheet + Answers (Higher GCSE)
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Factors and Primes Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Factors and Primes. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: HCF and LCM Product of Primes Skill Questions: List Multiples List Factors Find HCF Find LCM Product of Prime Factors Product of Prime Factors (Index Form) Find HCF From Product Of Primes Find LCM From Product Of Primes Mastery Questions: HCF From Worded Problem LCM From Bus Problem Find Product Of Prime Factors Given Similar Product Of Primes Find Number From HCF and LCM and Other Number Find Number From HCF and LCM Only Find Square Root From Product Of Primes
Expand/Factorise Linear Worksheet + Answers (Foundation GCSE)
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Expand/Factorise Linear Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Expand/Factorise Linear. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Expand and Simplify Linear Factorise Linear Skill Questions: Expand Linear Bracket with Number Expand Linear Bracket with Letter and Number Expand and Simplify Two Linear Brackets Factorise Linear Expression with Letter Factorise Linear Expression with Number Factorise Linear Expression with Letter and Number Mastery Questions: Factorise Linear Expression with Number and Multiple Letters Expression For Area of Rectangle With Algebra Find Length Of Rectangle From Area With Algebra Factorise Linear Expression with Only Letters Finding Missing Numbers In Bracket Identity Factorise Linear Expression with Multiple Letters And Powers
Expand/Factorise Linear Worksheet + Answers (Higher GCSE)
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Expand/Factorise Linear Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Expand/Factorise Linear. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Expand and Simplify Linear Factorise Linear Skill Questions: Expand Linear Bracket with Number Expand Linear Bracket with Letter and Number Expand and Simplify Two Linear Brackets Factorise Linear Expression with Letter Factorise Linear Expression with Number Factorise Linear Expression with Letter and Number Mastery Questions: Factorise Linear Expression with Number and Multiple Letters Expression For Area of Rectangle With Algebra Find Length Of Rectangle From Area With Algebra Factorise Linear Expression with Only Letters Finding Missing Numbers In Bracket Identity Factorise Linear Expression with Multiple Letters And Powers
Decimals Worksheet + Answers (Higher GCSE)
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Decimals Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Decimals. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Decimal Arithmetic Recurring Decimals Skill Questions: Multiply Decimal and Integer Divide Decimal and Integer Convert Fraction to Recurring Decimal Convert One-Digit Recurring Decimal to Fraction Convert Simple Recurring Decimal to Fraction Convert Recurring Decimal to Fraction Mastery Questions: Worded Division By Decimal Convert 3-Digit Recurring Decimal to Fraction Convert 0.axy Recurring Decimal to Fraction With xy Being Recurring Find Recurring Decimal From Fraction List Find Recurring Decimal Given Similar Recurring Decimal Show 0.9 Recurring Equals 1
Cumulative Frequency Worksheet + Answers (Higher GCSE)
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Cumulative Frequency Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Cumulative Frequency. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Boxplots Cumulative Frequency Graphs Skill Questions: Construct Boxplot Find Median From Boxplot Find Interquartile Range From Boxplot Compare Boxplots Draw Cumulative Frequency Graph Estimate Less Than With Cumulative Frequency Graph Estimate More Than With Cumulative Frequency Graph Find Median On Cumulative Frequency Graph Find Upper And Lower Quartiles On Cumulative Frequency Graph Find Inter-Quartile Range On Cumulative Frequency Graph Mastery Questions: Construct Boxplot From IQR and Range Use Cumulative Frequency Graph To Find Probability Create Boxplot From Cumulative Frequency Graph Understanding Consistency Using IQR Estimate Amounts From Boxplot Find Middle Percentage On Cumulative Frequency Graph
Constructions And Loci Worksheet + Answers (Foundation GCSE)
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Constructions And Loci Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Constructions And Loci. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Map Scales Plans And Elevations Constructions And Loci Skill Questions: Create Scale Drawing Find Scaled Length From Map Scale Create Harder Scale Drawing Drawing a Plan Drawing a Front Elevation Drawing a Side Elevation Draw Perpendicular Bisector From a Line Draw Angle Bisector Locus of a Point Shading a Region Mastery Questions: Find Triangle That Cannot Be Constructed Construct A Triangle From ASA Construct A Triangle From SSS Understanding A Drawn Loci Estimate A Height From Estimate Of Man Height Name Shape From Plan and Elevations
Constructions And Loci Worksheet + Answers (Higher GCSE)
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Constructions And Loci Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Constructions And Loci. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Plans And Elevations Constructions And Loci Skill Questions: Drawing a Plan Drawing a Front Elevation Drawing a Side Elevation Draw Perpendicular Bisector From a Line Draw Angle Bisector Locus of a Point Shading a Region Mastery Questions: Find Triangle That Cannot Be Constructed Construct A Triangle From ASA Construct A Triangle From SSS Understanding A Drawn Loci Estimate A Height From Estimate Of Man Height Name Shape From Plan and Elevations
Compound Measures Worksheet + Answers (Foundation GCSE)
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Compound Measures Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Compound Measures. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Speed And Acceleration Density and Pressure Rates Kinematics Formulae Skill Questions: Convert m/s to km/h Calculate Average Speed Calculate Average Speed From m and mins to km/h Finding Density Finding Mass from Density Finding Pressure Finding Force Given Pressure Find Time From Rate Of Pay and Final Money Find Capacity From Rate and Time Find Petrol Rate From Distance and Litres Of Petrol Using Kinematics Formulae (vuat) (u = 0) Using Kinematics Formulae (suta) (u = 0) Using Kinematics Formulae (vuas) (u = 0) Using Kinematics Formulae (vuat) (u > 0) Using Kinematics Formulae (suta) (u > 0) Using Kinematics Formulae (vuas) (u > 0) Mastery Questions: Speed Problem Using Kinematics Formulae (vuas) (u > 0) With Rearranging Problem From Prism And Rate Of Filling Find Smallest Pressure Side From Cuboid Compare Hourly Pay In Terms Of x Find Mass Of Cube B From Cube A
Compound Measures Worksheet + Answers (Higher GCSE)
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Compound Measures Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Compound Measures. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Speed And Acceleration Density and Pressure Rates Kinematics Formulae Skill Questions: Convert m/s to km/h Calculate Average Speed Calculate Average Speed From m and mins to km/h Finding Density Finding Mass from Density Finding Pressure Finding Force Given Pressure Find Time From Rate Of Pay and Final Money Find Capacity From Rate and Time Find Petrol Rate From Distance and Litres Of Petrol Using Kinematics Formulae (vuat) (u = 0) Using Kinematics Formulae (suta) (u = 0) Using Kinematics Formulae (vuas) (u = 0) Using Kinematics Formulae (vuat) (u > 0) Using Kinematics Formulae (suta) (u > 0) Using Kinematics Formulae (vuas) (u > 0) Mastery Questions: Speed Problem Using Kinematics Formulae (vuas) (u > 0) With Rearranging Problem From Prism And Rate Of Filling Find Smallest Pressure Side From Cuboid Compare Hourly Pay In Terms Of x Find Mass Of Cube B From Cube A
Quadratics Worksheet + Answers (Higher GCSE)
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Quadratics Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Quadratics. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Expand/Factorise (x^2 + bx + c) Solve (x^2 + bx + c) Expand/Factorise (ax^2 + bx + c) Solve (ax^2 + bx + c) Quadratic Formula Completing The Square Skill Questions: Expand (x + a)(x + b) Expand (x – a)(x – b) Expand (x + a)(x – b) Expand (x – a)^2 Factorise x^2 + bx + c Factorise x^2 – bx + c Factorise x^2 ± bx – c Factorise x^2 – c (Difference of Two Squares) Solve Basic Quadratic ax^2 = c Solve Basic Quadratic ax^2 + c = d Find Roots (Solve) Difference of Two Squares Algebraically x^2 – c Solve (a = 1) Quadratic Algebraically x^2 + bx + c = 0 Solve (a = 1) Quadratic Algebraically x^2 – bx + c = 0 Solve (a = 1) Quadratic Algebraically x^2 ± bx – c = 0 Expand (cx + a)(dx + b) Expand (cx – a)(dx – b) Expand (cx + a)(dx – b) Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 + bx + c = 0 Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 – bx + c = 0 Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 ± bx – c = 0 Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 + bx + c = 0 Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 – bx + c = 0 Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 ± bx – c = 0 Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 + bx + c = 0 Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 – bx + c = 0 Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 ± bx + c = 0 Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 + bx + c = 0 Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 – bx + c = 0 Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 ± bx – c = 0 Solve ax^2 + bx + c = 0 Solve -ax^2 + bx – c = 0 Solve ax^2 – bx – c = 0 Solve x^2 + bx + c = 0 Solve x^2 – bx + c = 0 Solve x^2 + bx – c = 0 Complete The Square For x^2 + bx + c Complete The Square For x^2 – bx – c Complete The Square For ax^2 + bx + c Complete The Square For ax^2 – bx – c Solve By Completing The Square For x^2 + bx + c (as surd) Solve By Completing The Square For ax^2 – bx – c (as surd) Mastery Questions: Expression For Area of Rectangle With Quadratic Algebra Find x From Area Of Square Involving Forming And Solving Quadratic Find x From Angles In Triangle Involving Forming And Solving Quadratic Use Difference Of Two Squares To Find Numbered Multiplication Find Shaded Area Expression Involving Two Expansions Rearrange And Solve Quadratic
Circles Worksheet + Answers (Foundation GCSE)
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Circles Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Circles. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Circumference of Circle Area of Circle Lengths And Areas In Sectors Skill Questions: Circumference From Diameter Circumference From Radius Circumference From Radius (In Terms Of Pi) Find Diameter Given Circumference Area From Radius Area From Diameter Area From Diameter (In Terms Of Pi) Find Radius Given Area Find Area of Quarter Circle Find Perimeter of Quarter Circle Find Area of Sector Find Length of Arc Perimeter of Sector Mastery Questions: Parts of a Circle Area of Circle In Shaded Trapezium Circle in Square Area Problem Find Number of Revolutions On A Wheel Given Diameter Sector Area Involving Two Sectors and Real Life Find Perimeter of Sector Given Area of Sector and Angle
Circles Worksheet + Answers (Higher GCSE)
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Circles Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Circles. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Area and Circumference of Circle Lengths And Areas In Sectors Skill Questions: Circumference From Diameter Circumference From Radius Circumference From Radius (In Terms Of Pi) Find Diameter Given Circumference Area From Radius Area From Diameter Area From Diameter (In Terms Of Pi) Find Radius Given Area Find Area of Quarter Circle Find Perimeter of Quarter Circle Find Area of Sector Find Length of Arc Perimeter of Sector Mastery Questions: Parts of a Circle Area of Circle In Shaded Trapezium Circle in Square Area Problem Find Number of Revolutions On A Wheel Given Diameter Sector Area Involving Two Sectors and Real Life Find Perimeter of Sector Given Area of Sector and Angle
Circle Theorems Worksheet + Answers (Higher GCSE)
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Circle Theorems Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Circle Theorems. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Identifying Circle Theorems Applying Circle Theorems Skill Questions: Identify Angle at Centre Identify Angle Between Tangent and Radius Identify Angle in a Semicircle Identify Angles from Same Chord Identify Cyclic Quadrilateral Identify Equal Lengths of Tangents Identify Perpendicular From Centre Bisects the Chord Identify Alternate Segment Theorem Isosceles Triangle in Circles Angle At Centre Angles In Cyclic Quadrilateral Angles In Same Segment Bisecting The Chord Using Angles In A Semicircle Using Radius To A Tangent Using Tangents From A Point To A Circle Alternate Segment Theorem Mastery Questions: Multiple Circle Theorems With One Tangent Multiple Circle Theorems With Two Tangents Find Angle Using Circle Theorem With Only Expressions Multiple Circle Theorems Finding Algebraic Expression Proof of Angle In Semi Circle – Circle Theorems
Bearings Worksheet + Answers (Foundation GCSE)
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Bearings Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Bearings. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Finding Bearings Calculating Bearings Skill Questions: Find Which Way Around The Bearing Is Find Simple Bearing Given Angle Find B From A Bearing Given Angle Find A From B Bearing Given Angle Find A From B, Given B From A Find A From B, Given Two Angles Mastery Questions: Find A From B, Given Alternate Angle At A Find A From B, Given B From A Without Diagram Find Bearing For Boats At Sea Find Bearing Given Worded Direction Find Bearing Using Algebra Find Angle Of Turn From Bearings
Bearings Worksheet + Answers (Higher GCSE)
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Bearings Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Bearings. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Finding Bearings Calculating Bearings Skill Questions: Find Which Way Around The Bearing Is Find Simple Bearing Given Angle Find B From A Bearing Given Angle Find A From B Bearing Given Angle Find A From B, Given B From A Find A From B, Given Two Angles Mastery Questions: Find A From B, Given Alternate Angle At A Find A From B, Given B From A Without Diagram Find Bearing For Boats At Sea Find Bearing Given Worded Direction Find Bearing Using Algebra Find Angle Of Turn From Bearings
Basic Algebra Worksheet + Answers (Foundation GCSE)
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Basic Algebra Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Basic Algebra. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Understanding Basic Algebra Substitution Skill Questions: Simplify a x b x c Simplify ax x by Collect Like Terms (1 Term With No Coefficients) Collect Like Terms (1 Term With Coefficients) Collect Like Terms (2 Terms With Coefficients) Collect Like Terms (2 Terms With Coefficients including x^2) Substitute From Written Expression ax + by Substitute Positive Integers into ax + by Substitute Positive And Negative Integers into ax + by Substitute Positive Integers into ax – y^2 Mastery Questions: Simplify -ax x -bx Collect Like Terms (3 Terms With Coefficients) Substitute Negative Integers into xy^2 Substitute Into A Complex Fraction Expression Find if Answer Is Odd Or Even From Expression Substitution Problem Where Values Are Known But Order Is Not
Averages Worksheet + Answers (Foundation GCSE)
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Averages Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Averages. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Averages From A List Averages From Tables Skill Questions: Mode from A List Range from A List Mean from A List Median from A List Mode from A Stem And Leaf Diagram Range from A Stem And Leaf Diagram Median from A Stem And Leaf Diagram Mode from Frequency Table Mean from Frequency Table Median from Frequency Table Modal Class from Grouped Frequency Table Mean from Grouped Frequency Table Median from Grouped Frequency Table Mastery Questions: Find Total Number From Frequency Table Applied Mean from Grouped Frequency Table Find Missing Number From Mean Find Mean From Bar-Line Graph Use All Averages To Find Missing Numbers Finding Mean from Means
Averages Worksheet + Answers (Higher GCSE)
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Averages Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Averages. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Averages From A List Averages From Tables Skill Questions: Mode from A Stem And Leaf Diagram Range from A Stem And Leaf Diagram Median from A Stem And Leaf Diagram Mode from Frequency Table Mean from Frequency Table Median from Frequency Table Modal Class from Grouped Frequency Table Mean from Grouped Frequency Table Median from Grouped Frequency Table Mastery Questions: Find Total Number From Frequency Table Applied Mean from Grouped Frequency Table Find Missing Number From Mean Find Mean From Bar-Line Graph Use All Averages To Find Missing Numbers Finding Mean from Means
Area and Perimeter Worksheet + Answers (Foundation GCSE)
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Area and Perimeter Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Area and Perimeter. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Rectangles, Parallelograms and Triangles Compound Shapes Trapeziums Skill Questions: Perimeter of Rectangle Perimeter of Parallelogram Perimeter of Triangle Area of Rectangle Area of Parallelogram Area of Triangle Perimeter of U-Shape Area Of Compound Rectangle And Triangle Area of U-Shape Area of Trapezium Area of Right-Angled Trapezium Find Height of Trapezium Given Area Find Base of Trapezium Given Area Mastery Questions: Find Square Perimeter From Area Area, Paint and Money Problem Trapezium, Tiles and Money Problem Find Area of Scalene Triangle On cm Grid Algebraic Triangle Area Problem Triangle and Algebra Advanced Problem
Area and Perimeter Worksheet + Answers (Higher GCSE)
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Area and Perimeter Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Area and Perimeter. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Compound Shapes Trapeziums Skill Questions: Perimeter of U-Shape Area of U-Shape Area Of Compound Rectangle And Triangle Area of Trapezium Area of Right-Angled Trapezium Find Height of Trapezium Given Area Find Base of Trapezium Given Area Mastery Questions: Find Square Perimeter From Area Area, Paint and Money Problem Trapezium, Tiles and Money Problem Find Area of Scalene Triangle On cm Grid Algebraic Triangle Area Problem Triangle and Algebra Advanced Problem