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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
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
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
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
Inequalities Worksheet + Answers (Foundation GCSE)
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Inequalities Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Inequalities. 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: Inequalities On Number Lines Solve Linear Inequalities Skill Questions: Draw Number Line From Inequality (Single) Draw Number Line From Inequality (Double) Find Inequality From Number Line (Single) Find Inequality From Number Line (Double) Find Integers From Double Inequality Solve 3-part Inequality Solve Single Bracket Inequality Solve 4-part Inequality Solve Single Bracket On Both Sides Inequality Solve 3-part Three-Sided Inequality Solve And Find Integers 3-part Negative Three-Sided Inequality Mastery Questions: Find Integers From Two Inequalities Solve 2-part Inequality With Negative x Solve 4-part Inequality From Worded Question Find x From Two Inequality Number Lines Inequalities Comparing Perimeters Solve 3-part Three-Sided Inequality With Negative x
Non-Linear Graphs Worksheet + Answers (Foundation GCSE)
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Non-Linear Graphs Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Non-Linear Graphs. 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: Draw And Interpret Quadratic Graphs Draw and Interpret Cubic and Reciprocal Graphs Skill Questions: Draw Basic Quadratic Graph Draw Quadratic Graph Solve Quadratic From Graph Draw Cubic Graph Draw Factorised Cubic Graph Draw Reciprocal Graph Mastery Questions: Identify Equation From Sketch Find x Given y On Reciprocal Graph Solve Quadratic From Graph Using y=a Line Find Problem With Drawn Quadratic Graph Find Incorrect Coordinate From Cubic Graph Find Turning Point For Quadratic Graph By Inspection
Algebraic Indices Involving Brackets Powerpoint (Foundation GCSE)
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Algebraic Indices Involving Brackets Powerpoint (Foundation GCSE)

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A comprehensive powerpoint that covers the topic of Algebraic Indices Involving Brackets. The Powerpoint models solutions to key questions in the topic, followed by questions for the students to do. The questions all have full working out and answers so students can identify where they have made mistakes. The powerpoint has skill and mastery questions so students can understand the basics whilst also mastering the topic. Suitable for foundation GCSE. The download includes the full powerpoint and you are free to adapt it to suit your needs. Topics included: Algebraic Indices Involving Brackets Skill Questions: Indices in Brackets without Coefficients Indices in Brackets with Coefficients Negative Indices in Brackets with Coefficients Mastery Questions: Find Missing Exponent With Bracketed Algebraic Indices Problem Algebraic Indices Problem Solving Indices in Two Brackets with Coefficients
Algebraic Indices PowerPoints, Worksheets + Answers (Foundation GCSE) Complete Pack
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Algebraic Indices PowerPoints, Worksheets + Answers (Foundation GCSE) Complete Pack

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If you are teaching Algebraic Indices on the Foundation Tier this bundle includes all you need. ⠀ ⠀ PowerPoints include: → model solutions to key questions in the topic, followed by questions for the students to do. → full working out and answers for all questions so students can identify where they have made mistakes. → skill and mastery questions so students can understand the basics whilst also mastering the topic. ⠀ ⠀ Worksheets include: → a double-sided PDF worksheet with questions and answers. → skill and mastery questions to secure initial understanding and then explore deeper understanding. → Full marking grids are included so students have a gap-analysis of what they understand and what they need to improve in each topic area. → Each worksheet can be used for classwork, homework or assessment. ⠀ ⠀ ✰ We have worksheet for all the other parts of the Higher and Foundation GCSE spec. Check out our shop for more information.
Accuracy PowerPoints, Worksheets + Answers (Higher GCSE) Complete Pack
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Accuracy PowerPoints, Worksheets + Answers (Higher GCSE) Complete Pack

5 Resources
If you are teaching Accuracy on the Higher Tier this bundle includes all you need. ⠀ ⠀ PowerPoints include: → model solutions to key questions in the topic, followed by questions for the students to do. → full working out and answers for all questions so students can identify where they have made mistakes. → skill and mastery questions so students can understand the basics whilst also mastering the topic. ⠀ ⠀ Worksheets include: → a double-sided PDF worksheet with questions and answers. → skill and mastery questions to secure initial understanding and then explore deeper understanding. → Full marking grids are included so students have a gap-analysis of what they understand and what they need to improve in each topic area. → Each worksheet can be used for classwork, homework or assessment. ⠀ ⠀ ✰ We have worksheet for all the other parts of the Higher and Foundation GCSE spec. Check out our shop for more information.
Accuracy PowerPoints, Worksheets + Answers (Higher GCSE) Complete Pack
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Accuracy PowerPoints, Worksheets + Answers (Higher GCSE) Complete Pack

5 Resources
If you are teaching Accuracy on the Higher Tier this bundle includes all you need. ⠀ ⠀ PowerPoints include: → model solutions to key questions in the topic, followed by questions for the students to do. → full working out and answers for all questions so students can identify where they have made mistakes. → skill and mastery questions so students can understand the basics whilst also mastering the topic. ⠀ ⠀ Worksheets include: → a double-sided PDF worksheet with questions and answers. → skill and mastery questions to secure initial understanding and then explore deeper understanding. → Full marking grids are included so students have a gap-analysis of what they understand and what they need to improve in each topic area. → Each worksheet can be used for classwork, homework or assessment. ⠀ ⠀ ✰ We have worksheet for all the other parts of the Higher and Foundation GCSE spec. Check out our shop for more information.
Accuracy PowerPoints, Worksheets + Answers (Foundation GCSE) Complete Pack
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Accuracy PowerPoints, Worksheets + Answers (Foundation GCSE) Complete Pack

4 Resources
If you are teaching Accuracy on the Foundation Tier this bundle includes all you need. ⠀ ⠀ PowerPoints include: → model solutions to key questions in the topic, followed by questions for the students to do. → full working out and answers for all questions so students can identify where they have made mistakes. → skill and mastery questions so students can understand the basics whilst also mastering the topic. ⠀ ⠀ Worksheets include: → a double-sided PDF worksheet with questions and answers. → skill and mastery questions to secure initial understanding and then explore deeper understanding. → Full marking grids are included so students have a gap-analysis of what they understand and what they need to improve in each topic area. → Each worksheet can be used for classwork, homework or assessment. ⠀ ⠀ ✰ We have worksheet for all the other parts of the Higher and Foundation GCSE spec. Check out our shop for more information.