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We are a maths GCSE website, helping parents, students and teachers.
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
Angles Worksheet + Answers (Foundation GCSE)
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Angles Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Angles. 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: Basic Angle Properties Angles In Triangles Angles On Parallel Lines Angles With Algebra Skill Questions: Find Angle On A Straight Line Find Angle On A Point Find Vertically Opposite Angle On A Point Find Angle In Simple Triangle Find Angle In Right-Angled Triangle Find Angle In Isosceles Given Exterior Angle Identify Vertically Opposite on a Parallel Line Identify Alternate Angles on a Parallel Line Identify Corresponding Angles on a Parallel Line Identify Interior Angles on a Parallel Line Identify Angle on a Parallel Line With Reason Find Angle In Triangle Using Algebra Find Angle In Isosceles Triangle Using Algebra Find Angle On Parallel Lines Using Algebra Find Angle In Parallelogram Using Algebra Mastery Questions: Find Angle In Rectangle Problem Find Angle In Isosceles Next To Parallelogram Find Angle In On A Point With Expressions Angle In Parallel Lines With Complex Expressions Find Exterior Angle In Equilateral Triangle Triangle Between Parallel Lines Problem Find Angle on a Parallel Line With Algebra Problem
Angles Worksheet + Answers (Higher GCSE)
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Angles Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Angles. 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: Basic Angle Properties Angles With Algebra Skill Questions: Find Angle In Isosceles Given Exterior Angle Identify Vertically Opposite on a Parallel Line Identify Alternate Angles on a Parallel Line Identify Corresponding Angles on a Parallel Line Identify Interior Angles on a Parallel Line Identify Angle on a Parallel Line With Reason Find Angle In Triangle Using Algebra Find Angle In Isosceles Triangle Using Algebra Find Angle On Parallel Lines Using Algebra Find Angle In Parallelogram Using Algebra Mastery Questions: Find Angle In Rectangle Problem Find Angle In Isosceles Next To Parallelogram Find Angle In On A Point With Expressions Angle In Parallel Lines With Complex Expressions Find Exterior Angle In Equilateral Triangle Triangle Between Parallel Lines Problem Find Angle on a Parallel Line With Algebra Problem
Algebraic Indices Worksheet + Answers (Foundation GCSE)
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Algebraic Indices Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Algebraic Indices. 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: Simplifying Algebraic Indices Algebraic Indices Involving Brackets Skill Questions: Multiply Indices Without Coefficients Divide Indices Without Coefficients Indices of 0 Multiply Indices with Coefficients Divide Indices with Coefficients Multiply And Divide Algebraic Indices Without Coefficients Indices in Brackets without Coefficients Indices in Brackets with Coefficients Negative Indices in Brackets with Coefficients Mastery Questions: Find Missing Exponent From Multiplying Indices Multiply Indices with Coefficients And Multiple Variables Find Area Of Square Given Perimeter Using Algebraic Indices Find Missing Exponent With Bracketed Algebraic Indices Problem Algebraic Indices Problem Solving Indices in Two Brackets with Coefficients
Algebraic Indices Worksheet + Answers (Higher GCSE)
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Algebraic Indices Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Algebraic Indices. 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: Simplifying Algebraic Indices Algebraic Indices Involving Brackets Skill Questions: Multiply Indices Without Coefficients Divide Indices Without Coefficients Indices of 0 Multiply Indices with Coefficients Divide Indices with Coefficients Multiply And Divide Algebraic Indices Without Coefficients Indices in Brackets without Coefficients Indices in Brackets with Coefficients Negative Indices in Brackets with Coefficients Brackets with Coefficients and Negative Fraction Index Mastery Questions: Find Missing Exponent From Multiplying Indices Multiply Indices with Coefficients And Multiple Variables Find Area Of Square Given Perimeter Using Algebraic Indices Find Missing Exponent With Bracketed Algebraic Indices Problem Algebraic Indices Problem Solving Indices in Two Brackets with Coefficients
Algebraic Fractions Worksheet + Answers (Higher GCSE)
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Algebraic Fractions Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Algebraic Fractions. 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: Add And Subtract Algebraic Fractions Simplify Algebraic Fractions Solve Algebraic Fractions Skill Questions: Add Algebraic Fractions In Form x/a + x/b Subtract Algebraic Fractions In Form x/a – x/b Add Algebraic Fractions In Form (x+a)/b + (x+c)/d Add Algebraic Fractions In Form a/(x+b) + c/(x+d) Add Algebraic Fractions By Factorising Demoninator Simplifying Single Quadratic Simplifying With Two Quadratics (a=1) Simplifying With Two Quadratics (a>1) Simplifying Quadratic With Diff Of 2 Squares Solve Algebraic Fraction With Simple Quadratic Solve Algebraic Fraction With Single Bracket Quadratic Solve Algebraic Fraction With Double Bracket Quadratic Mastery Questions: Add Algebraic Fractions In Form ax + b/(x+c) Add Algebraic Fractions To Find The Mean Use Algebraic Fractions To Find Height Of Compound Shape From Areas Solve Algebraic Fraction From Worded Problem Use Algebraic Fractions To Rearrange Involving Three Fractions Use Algebraic Fractions To Solve Reciprocal Problem
Accuracy Worksheet + Answers (Foundation GCSE)
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Accuracy Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Accuracy. 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: Rounding Estimation Finding Minimum and Maximum Values Error Intervals Skill Questions: Round to 2 decimal places Round Integer to 3 Significant Figures Round Decimal to 3 Significant Figures Use Fact to Find Answer (Times) Use Fact to Find Answer (Divide) Basic Fraction Sum with Root Find Maximum (Integer) Find Minimum (Integer) Find Minimum (0.1) Find Error Interval (Nearest 10) Find Error Interval (Nearest 0.1) Find Error Interval (Nearest 0.01) Mastery Questions: Maximum Value Of Discrete Data (Nearest 10) Find Error Interval From Truncated Number Find Error Interval (Different Units) Error Interval For 0kg Item Maximum Value Of Discrete Data (Nearest Integer) Error Interval (Nearest Number Not Power Of 10)
Accuracy Worksheet + Answers (Higher GCSE)
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Accuracy Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Accuracy. 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: Estimation Finding Bounds Bounds From Calculations Iteration Skill Questions: Use Fact to Find Answer (Times) Use Fact to Find Answer (Divide) Basic Fraction Sum with Root Find Maximum (Integer) Find Minimum (Integer) Find Minimum (0.1) Find Error Interval (Nearest 10) Find Error Interval (Nearest 0.1) Find Error Interval (Nearest 0.01) Maximum From Calculation (Addition) Minimum From Calculation (Multiplication) Maximum From Calculation (Subtraction) Minimum From Calculation (Division) Create Iteration Formula To Find Quadratic Solution Use Iteration To Find Quadratic Solution Use Iteration To Find Cubic Solution Mastery Questions: Maximum Value Of Discrete Data (Nearest 10) Find Error Interval From Truncated Number Find Error Interval (Different Units) Find Error Interval From Percentage Error Interval For 0kg Item Maximum Value Of Discrete Data (Nearest Integer) Error Interval (Nearest Number Not Power Of 10)
3D Right-Angles Worksheet + Answers (Higher GCSE)
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3D Right-Angles Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on 3D Right-Angles. 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: Using Pythagoras In 3D Using Trigonometry In 3D Skill Questions: Find Diagonal In Cube Using Pythagoras’ Theorem Find Diagonal In Cuboid Using Pythagoras’ Theorem Find Pyramid Height Using Pythagoras’ Theorem Find Simple Angle In Cuboid Using Trigonometry Find Angle In Cuboid Using Trigonometry Find Angle In Pyramid Using Trigonometry Mastery Questions: Find Diagonal In Triangular Prism Using Pythagoras’ Theorem Find Longest Diagonal In Cuboid Using Pythagoras’ Theorem Find Angle Of Apex In Cone Using Trigonometry Find Diagonal In Triangular Prism Using Trigonometry Diagonal Around A Cylinder Using Pythagoras Find Angle In Cube With No Lengths Using Trigonometry