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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.
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
Probability Worksheet + Answers (Higher GCSE)
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Probability Worksheet + Answers (Higher 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 higher 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 Conditional with 3 options Basic Probability Involving Algebra Understanding Best Estimate Probability With Comparisons Between Amounts
Polygons Worksheet + Answers (Foundation GCSE)
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Polygons Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Polygons. 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: Interior Angles Exterior Angles Skill Questions: Interior Angle Of Regular Polygon Interior Angle In Irregular Polygon Find Number Of Sides In Regular Polygon Given Angle Sum Find Number Of Sides In Regular Polygon Given Interior Angle Exterior Angle Of Regular Polygon Using Exterior Angles In Irregular Polygon Find Number Of Sides In Regular Polygon Given Exterior Angle Mastery Questions: Naming A Polygon From Diagram Find Sides From Exterior Angle In Diagram Exterior Angle Between Identical Polygons Exterior Angle Between Polygons Find Angle In Triangle In Polygon Impossible Angle Sum For Polygon
Polygons Worksheet + Answers (Higher GCSE)
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Polygons Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Polygons. 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: Interior Angles Exterior Angles Skill Questions: Interior Angle Of Regular Polygon Find Number Of Sides In Regular Polygon Given Angle Sum Interior Angle In Irregular Polygon Find Number Of Sides In Regular Polygon Given Interior Angle Exterior Angle Of Regular Polygon Find Number Of Sides In Regular Polygon Given Exterior Angle Using Exterior Angles In Irregular Polygon Mastery Questions: Naming A Polygon From Diagram Find Sides From Exterior Angle In Diagram Exterior Angle Between Identical Polygons Exterior Angle Between Polygons Find Angle In Triangle In Polygon Impossible Angle Sum For Polygon
Percentages Worksheet + Answers (Foundation GCSE)
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Percentages Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on 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: Find Percentage Of Amounts Increasing And Decreasing By Percentages Percentage Change and Reverse Percentages Repeated Percentages Skill Questions: Simple Percentage of Amount (Non-Calculator) Percentage of Amount (Non-Calculator) Percentage of Amount (Calculator) Increase By Amount (Non-Calculator) Increase By Amount (Calculator) Decrease By Amount (Non-Calculator) Decrease By Amount (Calculator) Simple Interest Find Percentage Increase Find Percentage Decrease Reverse Percentages No Repeated Rates Basic Compound Interest Basic Depreciation Find Year From Compound Interest Mastery Questions: Compare Pay Rises Find Final Price Given % Increase And Increase Amount Compound Interest Formula Find Percentage Profit Long Term Compound Interest Best Value Compound Interest
Percentages Worksheet + Answers (Higher GCSE)
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Percentages Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on 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 higher GCSE. The download includes the Questions PDF and the Answers PDF. Topics included: Increasing And Decreasing By Percentages Percentage Change and Reverse Percentages Repeated Percentages Skill Questions: Increase By Amount (Non-Calculator) Increase By Amount (Calculator) Decrease By Amount (Non-Calculator) Decrease By Amount (Calculator) Simple Interest Find Percentage Increase Find Percentage Decrease Reverse Percentages No Repeated Rates Basic Compound Interest Basic Depreciation Find Year From Compound Interest Compound Interest No Quanities Two Percentages No Quantities Depreciation No Quantities Mastery Questions: Compare Pay Rises Find Final Price Given % Increase And Increase Amount Compound Interest Formula Find Percentage Profit Long Term Compound Interest Best Value Compound Interest
Number Indices Worksheet + Answers (Foundation GCSE)
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Number Indices Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Number 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: Squares, Roots and Cubes Indices Calculations Brackets and Negatives Indices Skill Questions: Cube Root Without Calculator Square Decimal On Calculator Cube Decimal On Calculator Adding Squares Without Calculator Convert Product To Single Power Convert Product To Two Powers Multiply Indices Divide Indices Indices in Fractions Indices in Brackets Simple Negative Negative on a Fraction Mastery Questions: Find Odd/Even Square/Cube Indices in Brackets With Negatives Indices in Fractions And Brackets Find A Power Of 2 Find Integers From Indices Power of Zero
Number Indices Worksheet + Answers (Higher GCSE)
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Number Indices Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Number 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: Indices Calculations Negative and Fractional Indices Skill Questions: Multiply Indices Divide Indices Indices in Brackets Indices in Fractions Negative on a Fraction Simple Negative Simple Fraction Fraction on a Fraction Negative Fraction on a Fraction Mastery Questions: Indices in Brackets With Negatives Indices in Fractions And Brackets Find the Index From Fraction Find Integers From Indices Power of Zero Combining Base with Root
Iteration Powerpoint (Higher GCSE)
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Iteration Powerpoint (Higher GCSE)

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A comprehensive powerpoint that covers the topic of Iteration. 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 questions so students can understand the basics whilst also mastering the topic. Suitable for higher GCSE. The download includes the full powerpoint and you are free to adapt it to suit your needs. Topics included: Iteration Skill Questions: Create Iteration Formula To Find Quadratic Solution Use Iteration To Find Quadratic Solution Use Iteration To Find Cubic Solution
Bounds From Calculations Powerpoint (Higher GCSE)
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Bounds From Calculations Powerpoint (Higher GCSE)

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A comprehensive powerpoint that covers the topic of Bounds From Calculations. 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 questions so students can understand the basics whilst also mastering the topic. Suitable for higher GCSE. The download includes the full powerpoint and you are free to adapt it to suit your needs. Topics included: Bounds From Calculations Skill Questions: Maximum From Calculation (Addition) Minimum From Calculation (Multiplication) Maximum From Calculation (Subtraction) Minimum From Calculation (Division)
Minimum and Maximum Values Powerpoint (Higher GCSE)
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Minimum and Maximum Values Powerpoint (Higher GCSE)

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A comprehensive powerpoint that covers the topic of Minimum and Maximum Values. 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 higher GCSE. The download includes the full powerpoint and you are free to adapt it to suit your needs. Topics included: Finding Bounds Skill Questions: Find Maximum (Integer) Find Minimum (0.1) Find Minimum (Integer) 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)
Minimum and Maximum Values Powerpoint (Foundation GCSE)
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Minimum and Maximum Values Powerpoint (Foundation GCSE)

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A comprehensive powerpoint that covers the topic of Minimum and Maximum Values. 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: Finding Minimum and Maximum Values Error Intervals Skill Questions: Find Maximum (Integer) Find Minimum (0.1) Find Minimum (Integer) 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)