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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.
Fractions Worksheet + Answers (KS2 - Year 4)
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Fractions Worksheet + Answers (KS2 - Year 4)

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A double-sided PDF worksheet with questions and answers on Fractions. The worksheet has preparation questions for the student to complete before the topic is taught and topic questions to complete afterwards. Also included is a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for Year 4 Students. The download includes the Questions PDF and the Answers PDF. Strands included: 3F2 recognise and show, using diagrams, equivalent fractions with small denominators 3F3 compare and order unit fractions and fractions with the same denominators 3F4 add and subtract fractions with the same denominator within one whole [e.g. 5/7 + 1/7 = 6/7] 4F2 recognise and show, using diagrams, families of common equivalent fractions 4F4 add and subtract fractions with the same denominator 4F10a solve problems involving increasingly harder fractions to calculate quantities and fractions to divide quantities, including non-unit fractions where the answer is a whole number Preparation Questions: Shade a fraction of diagrams Find the equivalent fractions using a fraction bar Shade equivalent fractions on diagram given equivalent diagram Order fractions with same denominators Order unit fractions with different denominators Find smallest child from worded statement of the fractions of heights Add / Subtract Fractions: Subtract Proper Fractions With Same Denominator Add / Subtract Fractions: Add Proper Fractions With Same Denominator Add / Subtract Fractions: Add Proper Fractions With Same Denominator (find missing number) Topic Questions: Find equivalent fractions from diagrams Find shapes that are 3/4 shaded Find equivalent fractions without diagrams Add / Subtract Fractions: Add Fractions With Same Denominator And Improper Answer Add / Subtract Fractions: Subtract Fractions With Denominators of 100 Add / Subtract Fractions: Add Fractions With Same Denominator with mixed number Find unit fraction of larger amount Find non-unit fraction of larger amount Find amount remaining given total amount of book pages and fraction read
Length and Perimeter Worksheet + Answers (KS2 - Year 3)
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Length and Perimeter Worksheet + Answers (KS2 - Year 3)

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A double-sided PDF worksheet with questions and answers on Length and Perimeter. The worksheet has SATs-like questions for the student to complete. Also included is a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for Year 3 Students. The download includes the Questions PDF and the Answers PDF. Strands included: 3M1a compare lengths (m/ cm/mm) 3M2a measure lengths (m/ cm/mm) 3M7 measure the perimeter of simple 2–D shapes 3M9b add and subtract lengths (m/ cm/mm) Questions: Compare cm and m Order lengths in different units Draw a line given length in cm with decimal Measure line using a ruler (cm) Measure line using a ruler (mm) Perimeter of Triangle Perimeter of Rectangle Add lengths of different units Subtract lengths of different units
Advanced Fractions Worksheet + Answers (KS2 - Year 3)
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Advanced Fractions Worksheet + Answers (KS2 - Year 3)

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A double-sided PDF worksheet with questions and answers on Advanced Fractions. The worksheet has SATs-like questions for the student to complete. Also included is a full marking grid so students have a gap-analysis of what they understand and what they need to improve. Suitable for Year 3 Students. The download includes the Questions PDF and the Answers PDF. Strands included: 3F2 recognise and show, using diagrams, equivalent fractions with small denominators 3F3 compare and order unit fractions and fractions with the same denominators 3F4 add and subtract fractions with the same denominator within one whole [e.g. 5/7 + 1/7 = 6/7] Questions: Shade a fraction of diagrams Find the equivalent fractions using a fraction bar Shade equivalent fractions on diagram given equivalent diagram Order fractions with same denominators Order unit fractions with different denominators Find smallest child from worded statement of the fractions of heights Add / Subtract Fractions: Subtract Proper Fractions With Same Denominator Add / Subtract Fractions: Add Proper Fractions With Same Denominator Add / Subtract Fractions: Add Proper Fractions With Same Denominator (find missing number)
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
Straight-Line Graphs Worksheet + Answers (Foundation GCSE)
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Straight-Line Graphs Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Straight-Line 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: Coordinates Draw Straight-Line Graphs Gradients Line Segments Find Equations Of Lines Skill Questions: Find Coordinates In 4 Quadrants Find Point With Coordinates In 4 Quadrants Draw Using A Table (m = 1) Draw Using A Table (m = 2) Draw Using A Table (m = 0.5) Draw Using A Table (m = -2) Draw Without Using A Table (m = 1) Draw Without Using A Table (m = 2) Draw Without Using A Table (m = 0.5) Draw Without Using A Table (m = -2) Draw ax + by = c Find Gradient From Graph (m = Positive) Find Gradient From Graph (m = Negative) Find Gradient From Graph (m = Fraction) Find Gradient From Coordinates (m = Integer) Find Gradient From Coordinates (m = Fraction) Find Midpoint Given Line On Graph (Integer Coordinates) Find Midpoint Given Line On Graph (Decimal Coordinates) Find Midpoint With No Graph (Positive Decimal Coordinates) Find Midpoint With No Graph (Negative Decimal Coordinates) Find Equation of Line y = a or x = a; Find Equation From Graph (m = Positive) Find Equation From Graph (m = Negative) Find Equation From Graph (m = Fraction) Find Equation From Coordinates (m = Integer) Find Equation From Coordinates (m = Fraction) Find Equation Of Parallel Line Mastery Questions: Create Equation Parallel To Given Line Find Gradient From ax + by = c Find Coordinate From Coordinate And Gradient Find Difficult Gradient From Graph Find Ratio Point Given Line On Graph Find Equation From Graph With y Scale Greater Than 1
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
Standard Form Worksheet + Answers (Higher GCSE)
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Standard Form Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Standard Form. 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: Converting Standard Form Calculations With Standard Form Skill Questions: Converting From (Positive) Converting From (Negative) Converting To (Positive) Converting To (Negative) Multiplying Multiplying With Answer Not Standard Form Dividing Mastery Questions: Add On A Calculator Subtract On A Calculator Dividing Requiring Bus Stop Convert Worded Number To Standard Form Complex Standard Form Calculator Question Compare Sun And Earth Masses
Standard Form Worksheet + Answers (Foundation GCSE)
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Standard Form Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Standard Form. 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: Converting Standard Form Calculations With Standard Form Skill Questions: Converting From (Positive) Converting From (Negative) Converting To (Positive) Converting To (Negative) Multiplying Dividing Multiplying With Answer Not Standard Form Mastery Questions: Add On A Calculator Subtract On A Calculator Dividing Requiring Bus Stop Convert Worded Number To Standard Form Complex Standard Form Calculator Question Compare Sun And Earth Masses
Surds Worksheet + Answers (Higher GCSE)
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Surds Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Surds. 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: Simplify and Rationalise Simple Simplify and Rationalise Advanced Skill Questions: Multiply Simple Rooted Fractions Simplify Simple Rationalise the Denominator Simple Rationalise the Denominator Basic Simplify Rationalise the Denominator and Simplify Expand Double Bracket (Both Positive) Expand Double Bracket (Both Negative) Expand Double Bracket (Positive And Negative) Expand Squared Bracket Rationalise the Denominator And Simplify Expression On Top Rationalise the Denominator Complex Mastery Questions: Find Rectangle Length Given Area And Surd Length Rationalise the Denominator To Add Fractions Rationalise the Denominator Complex Written As Division Rationalise the Denominator With Only Letters Expand Double Bracket With a and b (Positive And Negative) Fraction Inside A Fraction
Transformations Worksheet + Answers (Higher GCSE)
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Transformations Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Transformations. 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 Reflections Draw And Describe Translations Draw And Describe Rotations Draw And Describe Enlargements Skill Questions: Describe Reflection Draw Reflection Describe Translation Draw Translation Describe Rotations Draw Rotations Describe Enlargements (Positive Integer) Describe Enlargements (Positive Fraction) Describe Enlargements (Negative Integer) Draw Enlargements (Positive Integer) Draw Enlargements (Positive Fraction) Draw Enlargements (Negative Integer) Mastery Questions: Draw Diagonal Reflection Draw Translation By Adding Vectors Find Incorrect Coordinate From Enlargement Find Incorrect Coordinate From Reflection Describe Transformation After Two Reflections Draw Translation From Operations With Vectors
Transformations Worksheet + Answers (Foundation GCSE)
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Transformations Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Transformations. 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 Reflections Draw And Describe Translations Draw And Describe Rotations Draw And Describe Enlargements Skill Questions: Describe Reflection Draw Reflection Describe Translation Draw Translation Describe Rotations Draw Rotations Describe Enlargements (Positive Integer) Describe Enlargements (Positive Fraction) Draw Enlargements (Positive Integer) Draw Enlargements (Positive Fraction) Mastery Questions: Draw Diagonal Reflection Draw Translation By Adding Vectors Find Incorrect Coordinate From Enlargement Find Incorrect Coordinate From Reflection Describe Transformation After Two Reflections Draw Translation From Operations With Vectors
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
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
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
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
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
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
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