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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.
Solving Linear Equations Worksheet + Answers (Foundation GCSE)
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Solving Linear Equations Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Solving Linear Equations. 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: Solve Equations With One Operation Solve Equations With Two Operations Solve with Brackets and 4-Part Skill Questions: Solve Simple Equation with Add or Subtract Solve Simple Equation with Divide Solve Simple Equation with Multiply Simplify And Solve Simple Equation with Multiply Two-Part Function Machine Two-Part Inverse Function Machine Solve Equation in form ax + b = c Solve Equation in form ax / b = c Solve Equation in form x / a + b = c Solve Equation With Linear Bracket Solve Two Linear Brackets 4 Part Equation Mastery Questions: Find x From Angle On A Point Find x From Square Perimeter Formula from Problem Solve From Worded Equation Solve From Worded Problem Solve With Brackets On Both Sides
Solving Linear Equations Worksheet + Answers (Higher GCSE)
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Solving Linear Equations Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Solving Linear Equations. 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: Solve Basic Equations Solve with Brackets, Fractions and 4-Part Skill Questions: Solve Equation in form ax + b = c Solve Equation in form x / a + b = c Solve Equation in form ax / b = c Solve Equation With Linear Bracket 4 Part Equation Solve Two Linear Brackets Letter Under Fraction Mastery Questions: Find x From Angle On A Point Find x From Square Perimeter Formula from Problem Solve From Worded Equation Solve From Worded Problem Solve With Brackets On Both Sides
Simultaneous Equations Worksheet + Answers (Foundation GCSE)
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Simultaneous Equations Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Simultaneous Equations. 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: Same/Similar Coefficients Different Coefficients And Solve Graphically Skill Questions: Same Coefficient (+) Same Coefficient (-) Similar Coefficient (+) With Positive Answers Similar Coefficient (-) With Positive Answers Similar Coefficient (+) With A Negative Answer Similar Coefficient (-) With A Negative Answer Different Coefficient (+) With Positive Answers Different Coefficient (+) With A Negative Answer Different Coefficient (-) With Positive Answers Different Coefficient (-) With A Negative Answer Solve Linear Simultaneous Equations Graphically Mastery Questions: Rearrange Then Solve Compare Sides Of A Rectangle Find Apple And Pear Price Solve Graphically Without A Graph Simple Worded Simultaneous Equations Simultaneous Equations With x having Same Gradient
Simultaneous Equations Worksheet + Answers (Higher GCSE)
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Simultaneous Equations Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Simultaneous Equations. 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: Same/Similar Coefficients Different Coefficients Solve Graphically Quadratic and Linear Simultaneous Equations Skill Questions: Same Coefficient (-) Same Coefficient (+) Similar Coefficient (+) With Positive Answers Similar Coefficient (+) With A Negative Answer Similar Coefficient (-) With Positive Answers Similar Coefficient (-) With A Negative Answer Different Coefficient (+) With Positive Answers Different Coefficient (-) With Positive Answers Different Coefficient (+) With A Negative Answer Different Coefficient (-) With A Negative Answer Different Coefficient (+) With A Decimal Answer Different Coefficient (-) With A Decimal Answer Different Coefficient (+) With A Negative and Decimal Answer Different Coefficient (-) With A Negative and Decimal Answer Solve Linear Simultaneous Equations Graphically Solve Linear And Quadratic Graphically Solve Linear And Circle Graphically Quadratic and Linear With Both y As Subject Quadratic and Simple Linear With Circle Equation Quadratic and Linear With Circle Equation Mastery Questions: Rearrange Then Solve Compare Sides Of A Rectangle Find Apple And Pear Price Solve Graphically Without A Graph Simple Worded Simultaneous Equations Simultaneous Equations With x having Same Gradient
Similarity And Congruence Worksheet + Answers (Foundation GCSE)
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Similarity And Congruence Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Similarity And Congruence. 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: Congruent Triangles Similar Triangles Convert Metric Lengths, Area And Volumes Skill Questions: Find Lengths On Congruent Triangles Prove Triangle Congruence (SSS) Prove Triangle Congruence (ASA) Prove Triangle Congruence (SAS) Prove Triangle Congruence (RHS) Prove Triangle Congruence Simple Similar Triangles (Find Large) Simple Similar Triangles (Find Small) Similar Triangle in Triangle (Find Larger) Similar Triangle in Triangle (Find Smaller) Convert Linear Units (m to cm) Convert Area Units (m2 to cm2) Convert Volume Units (m3 to cm3) Mastery Questions: Similar Triangle in Triangle Give Ratio Scale Factor Convert Area Units In Functional (km2 to m2) Simple Similar Triangle in Triangle Idenitfy Shapes That Are Always Similar Prove Triangles Are Similar Understand Volume Units With No Lengths
Similarity And Congruence Worksheet + Answers (Higher GCSE)
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Similarity And Congruence Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Similarity And Congruence. 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: Congruent Triangles Similar Triangles Area Scale Factors Volume Scale Factors Skill Questions: Find Lengths On Congruent Triangles Prove Triangle Congruence (SSS) Prove Triangle Congruence (ASA) Prove Triangle Congruence (SAS) Prove Triangle Congruence (RHS) Prove Triangle Congruence Simple Similar Triangles (Find Large) Simple Similar Triangles (Find Small) Similar Triangle in Triangle (Find Larger) Similar Triangle in Triangle (Find Smaller) Convert Area Units (m2 to cm2) Find Area Given Linear Scale Factor (Find Larger) Find Area Given Linear Scale Factor (Find Smaller) Find Length Given Areas Find Surface Area Given Linear Scale Factor Convert Volume Units (m3 to cm3) Find Volume Given Linear Scale Factor (Find Larger) Find Volume Given Linear Scale Factor (Find Smaller) Find Length Given Volumes Find Volume Given Area Scale Factor (Find Smaller) Mastery Questions: Similar Triangle in Triangle Give Ratio Scale Factor Convert Area Units In Functional (km2 to m2) Simple Similar Triangle in Triangle Idenitfy Shapes That Are Always Similar Prove Triangles Are Similar Understand Volume Units With No Lengths
Sequences Worksheet + Answers (Foundation GCSE)
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Sequences Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Sequences. 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: Generating Sequences Linear Sequences Skill Questions: Fibonacci- Find Next Term Write Sequence With Term-To-Term Rule Find Next Terms in Linear Sequence Find Term-To-Term Rule From Pattern Find Terms in Exponential Find Term Given Linear nth Term Find Linear nth Term (positive) Find Linear nth Term (negative) Linear nth Term – Find Term Number Mastery Questions: Find Linear nth Term From Pattern Find Common Number From Two nth Terms Linear nth Term – Check If Term Is In Sequence Identify If A Sequence Is Arithmetic Or Geometric Create nth Term To Be In Numbers Times-Table Find Missing Number In Linear nth Term Given Two Terms
Sequences Worksheet + Answers (Higher GCSE)
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Sequences Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Sequences. 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: Linear Sequences Non-Linear Sequences Skill Questions: Find Term Given Linear nth Term Find Linear nth Term (positive) Find Linear nth Term (negative) Linear nth Term – Find Term Number Fibonacci- Find Next Term Find Terms in Exponential Find nth Term For Quadratic (an^2 + b) Find nth Term For Quadratic (an^2 + bn + c) Mastery Questions: Find Linear nth Term From Pattern Find Common Number From Two nth Terms Linear nth Term – Check If Term Is In Sequence Identify If A Sequence Is Arithmetic Or Geometric Create nth Term To Be In Numbers Times-Table Find Missing Number In Linear nth Term Given Two Terms
Scatter Graphs Worksheet + Answers (Foundation GCSE)
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Scatter Graphs Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Scatter 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 Describe Scatter Graphs Estimate With Scatter Graphs Skill Questions: Complete Scatter Graph Scatter Graph Describe Relationship Scatter Graph Type Of Correlation Scatter Graph Draw Line Of Best Fit Scatter Graph Estimate Scatter Graph Reliability Mastery Questions: Find Proportion From Scatter Graph Identify Axis Label On Scatter Graph Find Outlier Identify A Reason For An Outlier Understand that Line Of Best Fit May Be A Curve Correlation and Causation
Scatter Graphs Worksheet + Answers (Higher GCSE)
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Scatter Graphs Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Scatter 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 higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Draw And Describe Scatter Graphs Estimate With Scatter Graphs Skill Questions: Complete Scatter Graph Scatter Graph Describe Relationship Scatter Graph Type Of Correlation Scatter Graph Draw Line Of Best Fit Scatter Graph Estimate Scatter Graph Reliability Mastery Questions: Find Proportion From Scatter Graph Identify Axis Label On Scatter Graph Find Outlier Identify A Reason For An Outlier Understand that Line Of Best Fit May Be A Curve Correlation and Causation
Real-Life Graphs Worksheet + Answers (Foundation GCSE)
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Real-Life Graphs Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Real-Life 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: Distance-Time Graphs Interpreting Real-Life Graphs Skill Questions: Find Speed On Distance-Time Graph Find Average Speed On Distance-Time Graph Complete Distance-Time Graph Given Speed Find Total Distance On Distance-Time Graph Find Acceleration On Velocity-Time Graph Find Acceleration On Velocity-Time Graph From Rest Compares Value On Two Graphs Interpret Gradient Interpret y-Intercept Identify Object From Graph Showing Rates of Change Mastery Questions: Find Highest Point On Graph Name Function To Model Data Find Percentage Increase From Graph Read From A Real-Life Graph Find Fastest Section On Distance-Time Graph Find Average Speed On Distance-Time Graph With Return
Real-Life Graphs Worksheet + Answers (Higher GCSE)
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Real-Life Graphs Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Real-Life 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 higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Distance-Time Graphs Interpreting Real-Life Graphs Skill Questions: Find Average Speed On Distance-Time Graph Complete Distance-Time Graph Given Speed Find Speed On Distance-Time Graph Find Total Distance On Distance-Time Graph Find Acceleration On Velocity-Time Graph Find Acceleration On Velocity-Time Graph From Rest Find Distance (Displacement) On Velocity-Time Graph Compares Value On Two Graphs Interpret Gradient Interpret y-Intercept Identify Object From Graph Showing Rates of Change Mastery Questions: Find Highest Point On Graph Name Function To Model Data Find Percentage Increase From Graph Read From A Real-Life Graph Find Fastest Section On Distance-Time Graph Find Average Speed On Distance-Time Graph With Return
Ratios Worksheet + Answers (Foundation GCSE)
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Ratios Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Ratios. 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: Convert to Fractions and Unit Ratios Sharing Ratios Simplifying and Multiplying Ratios Skill Questions: Find Fraction From 2-Part Ratio Find Fraction From 3-Part Ratio Convert Ratio to Unit Ratio (1:n) Find Amount From 2-Part Ratio and Total Find Amount From 2-Part Ratio and Total (non-calc) Find Amount From 3-Part Ratio and Total Find Amount From 3-Part Ratio and Total (non-calc) Simplify Simple Ratio Simplify Harder Ratio Simplify Decimal Ratio Simplify 3-Part Ratio Multiply Ratio To Find Amount Simplify Different Units (kg) Simplify Different Units (Time) Mastery Questions: Find 2-Part Ratio From Fraction Given amount different between parts Fraction and Ratio Problem (No Quantity) Find Unit Ratio Given Words Not Numbers Find Amount From 3-Part Ratio Given 2-Part Total Find First Amount From 2 Linked Ratios Given Third Amount
Ratios Worksheet + Answers (Higher GCSE)
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Ratios Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Ratios. 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: Convert to Fractions and Unit Ratios Sharing Ratios Simplifying and Multiplying Ratios Skill Questions: Find Fraction From 2-Part Ratio Find Fraction From 3-Part Ratio Convert Ratio to Unit Ratio (1:n) Find Amount From 2-Part Ratio and Total (non-calc) Find Amount From 2-Part Ratio and Total Find Amount From 3-Part Ratio and Total (non-calc) Find Amount From 3-Part Ratio and Total Multiply Ratio To Find Amount Simplify Simple Ratio Simplify Harder Ratio Simplify 3-Part Ratio Simplify Decimal Ratio Simplify Different Units (kg) Simplify Different Units (Time) Mastery Questions: Find 2-Part Ratio From Fraction Given amount different between parts Fraction and Ratio Problem (No Quantity) Find Unit Ratio Given Words Not Numbers Find Amount From 3-Part Ratio Given 2-Part Total Find First Amount From 2 Linked Ratios Given Third Amount
Quadratics Worksheet + Answers (Foundation GCSE)
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Quadratics Worksheet + Answers (Foundation 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 foundation GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Expand (x^2 + bx + c) Factorise (x^2 + bx + c) Solve (x^2 + bx + c) Skill Questions: Expand (x + a)(x + b) Expand (x – a)(x – b) Expand (x + a)(x – b) Expand (x – a)^2 Expand (cx + a)(dx + b) Expand (cx – a)(dx – b) Expand (cx + a)(dx – b) 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 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
Pythagoras’ Theorem Worksheet + Answers (Foundation GCSE)
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Pythagoras’ Theorem Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Pythagoras’ Theorem. 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: From Right-Angled Triangle From Line Segment Skill Questions: Find Hypotenuse Given Hypotenuse Given/Find Hypotenuse Find Length Of Line Segment With Graph Find Length Of Line Segment Without Graph (+ve coords) Find Length Of Line Segment Without Graph (-ve coords) Mastery Questions: Pythagorean Triples Painting Pythagorean Triple Wooden Frame Two Step Problem Find Diagonal of Square Distance of Ladder From Wall Prove a Triangle Is A Right-Angled Triangle
Pythagoras’ Theorem Worksheet + Answers (Higher GCSE)
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Pythagoras’ Theorem Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Pythagoras’ Theorem. 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: From Right-Angled Triangle From Line Segment Skill Questions: Find Hypotenuse Given Hypotenuse Given/Find Hypotenuse Find Length Of Line Segment With Graph Find Length Of Line Segment Without Graph (+ve coords) Find Length Of Line Segment Without Graph (-ve coords) Mastery Questions: Pythagorean Triples Painting Pythagorean Triple Wooden Frame Two Step Problem Find Diagonal of Square Distance of Ladder From Wall Prove a Triangle Is A Right-Angled Triangle
Proportion Worksheet + Answers (Foundation GCSE)
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Proportion Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Proportion. 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: Proportion Problems Direct and Inverse Proportion Skill Questions: Best Value Between Three Items Find Money For x hours if Given Money For y Hours Recipes – Find Required Amounts for x Given Amounts for y (Integer Answer) Recipes – Find Required Amounts for x Given Amounts for y (Decimal Answer) Using Simple Exchange Rate Using Reverse Exchange Rate Identify Direct Proportion From Graph Inverse Proportion – Worded Question (Integer Answer) Inverse Proportion – Worded Question (Decimal Answer) Direct Proportion – Use Equation to find y Direct Proportion – Use Equation to find x Inverse Proportion – Use Equation to find y Inverse Proportion – Use Equation to find x Mastery Questions: Cheapest shop Direct Proportion – Derive Equation Inverse Proportion – Derive Equation Recipes Exchange Rates Problem Price of Grams given Price of Kg
Proportion Worksheet + Answers (Higher GCSE)
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Proportion Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Proportion. 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: Proportion Problems Direct and Inverse Proportion Further Direct and Inverse Proportion Skill Questions: Best Value Between Three Items Find Money For x hours if Given Money For y Hours Recipes – Find Required Amounts for x Given Amounts for y (Decimal Answer) Using Reverse Exchange Rate Identify Direct Proportion From Graph Inverse Proportion – Worded Question (Integer Answer) Inverse Proportion – Worded Question (Decimal Answer) Direct Proportion – Use Equation to find y Direct Proportion – Use Equation to find x Inverse Proportion – Use Equation to find y Inverse Proportion – Use Equation to find x Direct Proportion – Use Equation to Find y With x^2 Direct Proportion – Use Equation to Find x With x^2 Inverse Proportion – Use Equation to Find y With x^2 Inverse Proportion – Use Equation to Find x With x^2 Mastery Questions: Direct Proportion – Derive Equation Inverse Proportion – Derive Equation Inverse Proportion – Derive Equation With x^3 Inverse Proportion – Derive Equation With Cube Root x Recipes Exchange Rates Problem Price of Grams given Price of Kg Inverse Proportion Formula to the Square From Table Of Values
Probability Worksheet + Answers (Foundation GCSE)
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Probability Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Probability. 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: Counting Strategies Probability From Combined Events Probability From Mutually Exclusive Events Experimental Probability Independent And Frequency Tree Diagrams Conditional Probability Tree Diagrams Skill Questions: Listing Outcomes Total Outcomes From Two Spinners Find Probability From Two Outcomes With Sample Space Diagram (X Spinners) Probability From Two Outcomes (Named Outcomes) Sample Space Diagram From Two Outcomes (Spinners) Probability of Mutually Exclusive Events From A Probability Table Probability of NOT From Mutually Exclusive Events Probability Remaining From Mutually Exclusive Events Using P(A or B) = P(A) + P(B) For Mutually Exclusive Events Expected Amount From Calculated Probabilities (Spinner) Expected Amount From Table of Experimental Probabilities Experimental Probability From Table of Frequencies Complete Frequency Tree Diagram Complete Independent Tree Diagram Find Probability (A and A) From Independent Tree Diagram Find Probability (Different) From Independent Tree Diagram Complete Conditional Tree Diagram Find Probability (A and A) From Conditional Tree Diagram Find Probability (Different) From Conditional Tree Diagram Mastery Questions: Probability From A Frequency Tree Diagram Find Probability (A and A) From Independent Without Tree Diagram Find Probability (Different) From Conditional Without Tree Diagram Basic Probability Involving Algebra Understanding Best Estimate Probability With Comparisons Between Amounts