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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.
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
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
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
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
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
Formulae Worksheet + Answers (Higher GCSE)
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Formulae Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Formulae. 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 Formulae Rearranging Formulae Rearranging Advanced Formulae Skill Questions: Identify Equation, Expression, Formula and Identity Substituting into suvat Formulae Writing Formulae Rearranging Simple Formulae in Form x = y + a Rearranging Simple Formulae in Form x = ay + b Rearranging Simple Formulae in Form x = y/a Rearranging Simple Formulae in Form y = (ax/b) + c Rearranging Formulae Involving Simple Factorising Rearranging Formulae Involving Advanced Factorising Rearranging Advanced Formulae in Form y = a√(bx/c) Mastery Questions: Rearranging Simple Formulae in Form x = a – y Rearranging Simple Formulae in Form x = ay + b Where a Is A Fraction Rearranging Simple Formulae in Form x = a(y + b) Rearranging Speed Formula Rearrange v = u + at Rearrange v2 = u2 + 2as
Factors and Primes Worksheet + Answers (Foundation GCSE)
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Factors and Primes Worksheet + Answers (Foundation 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 foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Factors, Multiples, 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
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
Fractions Worksheet + Answers (Foundation GCSE)
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Fractions Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on 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 foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Basic Fractions Fractions of Amounts Add and Subtract Fractions Multiply And Divide Fractions Skill Questions: Shade Fraction Of Squares Find Fraction Of Shaded Squares Find Equivalent Fractions Cancel / Simplify Fractions Identify Larger Fractions Ordering Fractions Find Simple Fraction of Amount Find Fraction of Amount Find Fraction of Amount From Worded Question Add Simple Subtract Simple Add Mixed Subtract Mixed Multiply Simple Multiply Mixed Divide Integer By Simple Fraction Divide Fraction By Integer Divide Simple Divide Mixed Mastery Questions: Add Mixed Fractions From Worded Question Area of Rectangle Involving Mixed Numbers Divide Mixed Fractions From Worded Question Fractions In A Fraction Repeated Worded Fractions Find Value For x By Subtracting Mixed Numbers
Fractions Worksheet + Answers (Higher GCSE)
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Fractions Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on 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 Fractions Multiply And Divide Fractions Skill Questions: Add Simple Subtract Simple Add Mixed Subtract Mixed Multiply Simple Divide Simple Multiply Mixed Divide Mixed Divide Integer By Simple Fraction Divide Fraction By Integer Mastery Questions: Add Mixed Fractions From Worded Question Area of Rectangle Involving Mixed Numbers Divide Mixed Fractions From Worded Question Fractions In A Fraction Repeated Worded Fractions Find Value For x By Subtracting Mixed Numbers
Formulae Worksheet + Answers (Foundation GCSE)
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Formulae Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Formulae. 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: Using Formulae Rearranging Formulae Skill Questions: Identify Equation, Expression, Formula and Identity Substituting into suvat Formulae Writing Formulae Rearranging Simple Formulae in Form x = y + a Rearranging Simple Formulae in Form x = y/a Rearranging Simple Formulae in Form x = ay + b Mastery Questions: Rearranging Simple Formulae in Form x = a – y Rearranging Simple Formulae in Form x = ay + b Where a Is A Fraction Rearranging Simple Formulae in Form x = a(y + b) Rearranging Speed Formula Rearrange v = u + at Rearrange v2 = u2 + 2as
Fractions Decimals Percentages Worksheet + Answers (Foundation GCSE)
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Fractions Decimals Percentages Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Fractions Decimals Percentages. 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: Decimal Arithmetic Fractions and Decimals Fractions and Percentages Skill Questions: Multiply Decimal and Integer Divide Decimal and Integer Convert Fraction To Decimal Convert Decimal To Fraction Ordering Decimals and Fractions Convert Fraction To Percentage (Calculator) Convert Percentage To Fraction Convert Simple Fraction To Percentage Find Percentage Of One Quantity To Another Find Percentage Of One Quantity To Another (Calculator) Ordering Percentages, Decimals and Fractions Mastery Questions: Find Fraction From Written Question Shade a Percentage Of Squares Worded Division By Decimal Find Percentage Difference Between Shaded/Unshaded Squares Ordering Fractions And Percentage From Written Find Missing Number In Fraction And Percentage Comparison
Function Notation Worksheet + Answers (Higher GCSE)
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Function Notation Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Function Notation. 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: Understanding Function Notation Basic, Composite and Inverse Functions Graphic Transformations (Multiplications) Graphic Transformations (Translations) Skill Questions: Solving With A Function Using A Function To Substitute Values Manipulating A Function Substitute With Composite Functions Solve With Composite Functions Work Out Quadratic Composite Functions Find Simple Inverse Function Find Advanced Inverse Function Graphic Transformations Of Cubic af(x) Graphic Transformations Of Cubic -f(x) Graphic Transformations Of Cubic f(ax) Graphic Transformations Of Cubic f(-x) Graphic Transformations Of Quadratic af(x) Graphic Transformations Of Quadratic f(ax) Graphic Transformations Of Quadratic f(x) + a Graphic Transformations Of Quadratic f(x + a) Graphic Transformations Of Cubic f(x) + a Graphic Transformations Of Cubic f(x + a) Mastery Questions: Find Function From fg(x) Find Advanced Inverse Function With Different Notation Find Function From Graphic Transformation f(x+k) Find Composite Of Function And Its Inverse Find fg(x) = gf(x) Find Function From Graphic Transformation kf(x)
Handling Data Worksheet + Answers (Higher GCSE)
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Handling Data Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Handling Data. 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: Stem and Leaf, Pie Charts and Frequency Polygons Time Series Two-Way Tables Sampling Skill Questions: Draw Pie Chart Find Frequency From Pie Chart Draw Stem and Leaf Diagram Draw Stem and Leaf Diagram With Decimals Draw Back-To-Back Stem and Leaf Diagram Draw Frequency Polygon Draw Time Series Graph Time Series Graph Describe Trend Time Series Graph Find Best Quarter Two-Way Tables Completing Simple Two-Way Tables Completing Harder Two-Way Tables Without Table Given Sampling Issues Selecting Random Sample Stratified Sampling Capture-Recapture Mastery Questions: Data Graphs: Find Median From Back-To-Back Stem and Leaf Diagram Find Probability From Frequency Polygon Find Given-That Probability From Two Way Table Find Suitable Diagram For Data Finding Reasons Time Series Graph Is Misleading Comparing Pie Charts If No Frequency Given
Handling Data Worksheet + Answers (Foundation GCSE)
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Handling Data Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Handling Data. 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: Bar Charts and Basic Histograms Frequency Tables And Pictograms Pie Charts Stem and Leaf Diagrams Time Series Two-Way Tables Sampling Skill Questions: Draw Comparative Bar Chart Draw Composite Bar Chart Draw Simple Histogram Draw Frequency Polygon Create Frequency Table Create Grouped Frequency Table Create Grouped Frequency Table From Decimals Interpret Frequency Table Complete Pictogram Find Highest In Pictogram Find Amount From Pictogram Draw Pie Chart Find Frequency From Pie Chart Interpret Pie Chart Draw Stem and Leaf Diagram Draw Back-To-Back Stem and Leaf Diagram Draw Stem and Leaf Diagram With Decimals Draw Time Series Graph Time Series Graph Describe Trend Time Series Graph Find Best Quarter Interpreting a Distance Table Timetables Two-Way Tables Completing Simple Two-Way Tables Completing Harder Two-Way Tables Without Table Given Sampling Issues Selecting Random Sample Stratified Sampling Mastery Questions: Data Graphs: Find Median From Back-To-Back Stem and Leaf Diagram Find Probability From Frequency Polygon Find Given-That Probability From Two Way Table Find Suitable Diagram For Data Finding Reasons Time Series Graph Is Misleading Comparing Pie Charts If No Frequency Given
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
Basic Number Worksheet + Answers (Foundation GCSE)
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Basic Number Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Basic Number. 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: Place Value Selecting Number Type From List Operations Skill Questions: Words to Digits Digits to Words Find Value Of Digit In Number Find Multiple In List Find Prime In List Find Factor In List Order Of Operations (+ and x) Order Of Operations (Indices and Brackets) Order Of Operations (x and + in a fraction) Mastery Questions: Smallest Odd Number From Digits Largest Even Number From Digits Find The Sum And Product Of Numbers Incorrect Cube Number Factors Of Primes Describe Relationship Between Numbers
Basic Geometry Worksheet + Answers (Foundation GCSE)
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Basic Geometry Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Basic Geometry. 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: Properties of 2D Shapes 3D Shapes Skill Questions: Find Angle in Kite Find Angle in Parallelogram Identify Congruent Shapes Identify Quadrilateral Find Property Of 3D Shape Identify 3D Shape Planes Of Symmetry Mastery Questions: Find Faces In Prism Find Edges In Prism Find Vertices In Prism Find Formula For Faces In Prism Find Formula For Edges In Prism Find Formula For Vertices In Prism
Psychological formulation - A-Level Edexcel Psychology
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Psychological formulation - A-Level Edexcel Psychology

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An exploration of psychological formulation as a type of offence analysisfrom an experienced Psychology teacher and examiner. This covers the key concepts and SODA as an evaluation strategy. As well as novel exam questions and mark schemes for practicing with students.