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We are a maths GCSE website, helping parents, students and teachers.
Area and Perimeter Worksheet + Answers (Foundation GCSE)
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Area and Perimeter Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Area and Perimeter. 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: Rectangles, Parallelograms and Triangles Compound Shapes Trapeziums Skill Questions: Perimeter of Rectangle Perimeter of Parallelogram Perimeter of Triangle Area of Rectangle Area of Parallelogram Area of Triangle Perimeter of U-Shape Area Of Compound Rectangle And Triangle Area of U-Shape Area of Trapezium Area of Right-Angled Trapezium Find Height of Trapezium Given Area Find Base of Trapezium Given Area Mastery Questions: Find Square Perimeter From Area Area, Paint and Money Problem Trapezium, Tiles and Money Problem Find Area of Scalene Triangle On cm Grid Algebraic Triangle Area Problem Triangle and Algebra Advanced Problem
Bearings Worksheet + Answers (Foundation GCSE)
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Bearings Worksheet + Answers (Foundation GCSE)

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A double-sided PDF worksheet with questions and answers on Bearings. 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: Finding Bearings Calculating Bearings Skill Questions: Find Which Way Around The Bearing Is Find Simple Bearing Given Angle Find B From A Bearing Given Angle Find A From B Bearing Given Angle Find A From B, Given B From A Find A From B, Given Two Angles Mastery Questions: Find A From B, Given Alternate Angle At A Find A From B, Given B From A Without Diagram Find Bearing For Boats At Sea Find Bearing Given Worded Direction Find Bearing Using Algebra Find Angle Of Turn From Bearings
Bearings Worksheet + Answers (Higher GCSE)
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Bearings Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Bearings. 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: Finding Bearings Calculating Bearings Skill Questions: Find Which Way Around The Bearing Is Find Simple Bearing Given Angle Find B From A Bearing Given Angle Find A From B Bearing Given Angle Find A From B, Given B From A Find A From B, Given Two Angles Mastery Questions: Find A From B, Given Alternate Angle At A Find A From B, Given B From A Without Diagram Find Bearing For Boats At Sea Find Bearing Given Worded Direction Find Bearing Using Algebra Find Angle Of Turn From Bearings
Further Trigonometry Worksheet + Answers (Higher GCSE)
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Further Trigonometry Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Further Trigonometry. 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: Cosine Rule Sine Rule Trigonometric Area of Triangle Trigonometric Graphs Trigonometric Transformations Skill Questions: Cosine Rule Find Angle Cosine Rule Find Length Sine Rule Find Angle Sine Rule Find Length Find Area of Triangle Find Length From Area of Triangle Find Area of Segment Draw Trigonometric Graph Find Coordinate On Trigonometric Graph Use Graph to Find Solutions to y = cos x Use Graph to Find Solutions to y = sin x Use Graph to Find Solutions to y = tan x Transform Trigonometric Graph y = f(x) + a Transform Trigonometric Graph y = af(x) Transform Trigonometric Graph y = -f(x) Transform Trigonometric Graph y = f(x + a) Transform Trigonometric Graph y = f(ax) Transform Trigonometric Graph y = f(-x) Mastery Questions: Cosine Rule Find Perimeter Find Area of Equilateral Triangle Transform Trigonometric Graph y = -af(x) Find Multiple Angles Given Triangle Area And Two Lengths Transform Trigonometric Graph y = af(ax) Cosine Rule Find Other Diagonal Length in Parallelogram
Histograms Worksheet + Answers (Higher GCSE)
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Histograms Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Histograms. 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: Drawing Histograms Interpreting Histograms Skill Questions: Complete Histogram From Frequency Table (With FD Labels) Complete Histogram From Frequency Table (No FD Labels) Complete Table From Histogram (With FD Labels) Complete Table From Histogram (No FD Labels) Estimate Median From Histogram (With FD Labels) Estimate Frequency ‘Less/More Than’ From Histogram (With FD Labels) Estimate Proportions From Histogram (With FD Labels) Estimate Proportions From Histogram (No FD Labels) Mastery Questions: Estimate Proportion Between From Histogram (No FD Labels) Estimate Mean From Histogram (With FD Labels) Find ‘Percentage Over’ From Histogram (With FD Labels) Complete Histogram Given Fractions Of Amounts (No FD Labels) Understand Why Frequency ‘Less/More Than’ From Histogram Is An Estimate Estimate Lower Quartile From Histogram (With FD Labels)
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
Addition and Subtraction Worksheet + Answers (KS2 - Year 4)
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Addition and Subtraction Worksheet + Answers (KS2 - Year 4)

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A double-sided PDF worksheet with questions and answers on Addition and Subtraction. 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: 3C1 add and subtract numbers mentally, including: (1) a three-digit number and ones (2) a three-digit number and tens (3) a three-digit number and hundreds 3C2 add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction 3C3 estimate the answer to a calculation and use inverse operations to check answers 3C4 solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction 4C2 add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate 4C4 solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why Preparation Questions: Add / Subtract Mentally: Subtract Multiple of 10 From Three Digit Number Find missing numbers in arithmetic sequence Given increase amount Add / Subtract Using Written Methods: Add Three Digit To Three Digit With Carries And Answer = Add / Subtract Using Written Methods: Subtract Two Digit From Two Digit Number With No Borrow And Answer = Find missing digits to make 3-digit addition work whilst shown in grid Check a subtraction with an addition Add / Subtract To Solve Problems: Subtract One Digit From Three Digit With Single Borrow When Written As An Addition Find One Digit Subtraction From Three Digit To Find Three Digit Fill in digits to make addition work Topic Questions: Add / Subtract Using Written Methods: Add Three Digit Number To Four Digit Number With Carries Add / Subtract Using Written Methods: Add Four Digit Number To Three Digit Number With Carries And Answer = Add / Subtract Using Written Methods: Subtract Three Digit From Four Digit Number With Double Borrow Add / Subtract Using Written Methods: Subtract Three Digit From Four Digit Number With Double Borrow And Answer = Add / Subtract Using Written Methods: Add Four Digit Number To Two Digit Number With Carries And Answer = Find remaining points to target Compare heights of underwater mountains
Algebra Worksheet + Answers (KS2 - Year 6)
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Algebra Worksheet + Answers (KS2 - Year 6)

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A double-sided PDF worksheet with questions and answers on Algebra. 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 6 Students. The download includes the Questions PDF and the Answers PDF. Strands included: 5C5a identify multiples and factors, including fnding all factor pairs of a number and common factors of two numbers 5C5c establish whether a number up to 100 is prime and recall prime numbers up to 19 5C5d recognise and use square numbers and cube numbers, and the notation for squared and cubed 5C6b multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000 5C8a solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes 6A1 express missing number problems algebraically 6A2 use simple formulae 6A3 generate and describe linear number sequences 6A4 find pairs of numbers that satisfy an equation with two unknowns 6A5 enumerate possibilities of combinations of two variables Preparation Questions: Tick common factors of two numbers Identify prime number and give a reason why a number is not prime Find a square and prime that have a given sum Sort numbers in triple Venn diagram by prime, even and square Order Of Operations: Add a Squares Number To 10 Properties Of Number (multiples, Factors, Primes, Squares And Cubes): Find Cube Numbers From 2-5 Circle number ten times greater than written number Find number to make division work with answer = Find how many oranges given boxes sold and oranges per box Topic Questions: Write expression for subtraction Find a distance on a diagram involving rectangles of given or not given lengths Use formula to find cost of printing on T shirt and use inverse Substitute algebra and solve equation Find value of shapes given totals of combinations of shapes Find missing numbers from rule including inverse Find value of shapes given value of two amounts of shapes find missing number from rule formula given sequence Find colour combinations for football shirt
Area Worksheet + Answers (KS2 - Year 4)
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Area Worksheet + Answers (KS2 - Year 4)

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A double-sided PDF worksheet with questions and answers on Area. 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: 4M7b find the area of rectilinear shapes by counting squares Preparation Questions: Mentally Multiply 2-12 With 2-12 Topic Questions: Find area of a square by counting squares Find area of a rectangle by counting squares Find area of rectilinear shape by counting squares
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
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
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
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
Trigonometry Worksheet + Answers (Higher GCSE)
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Trigonometry Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Trigonometry. 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 Using Exact Values (Non-Calculator) Skill Questions: Basic Find Length A (cos) Basic Find Length A (sin) Basic Find Length A (tan) Basic Find Length B (cos) Basic Find Length B (sin) Basic Find Length B (tan) Basic Find Angle (cos) Basic Find Angle (sin) Basic Find Angle (tan) Find exact value of written trigonometric ratio Find Length Using Trigonometric Exact Values Find Angle Using Trigonometric Exact Values Mastery Questions: Find Angle Of Elevation Use Trigonometry To Find Bearing Two Step Trigonometry Find Side Length In Rectangle Given Diagonal Angle Use Angle Of Depression Two Triangles
Venn Diagrams Worksheet + Answers (Higher GCSE)
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Venn Diagrams Worksheet + Answers (Higher GCSE)

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A double-sided PDF worksheet with questions and answers on Venn Diagrams. 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: Drawing Venn Diagrams Interpreting Venn Diagrams Skill Questions: Complete Full Complete Partial Sort Numbers With Venn Diagram Sort Numbers From Set Notation Find Basic Probability Find Intersection Find Union Find Not Probability Mastery Questions: Find Probability In Three-Way Venn Interpret Without Venn Diagram Interpret Without Venn Diagram Given Proportion Between A and B Identify Shape From Venn Diagram Find Value In Venn Diagram Using Algebra Find Outside Number From Written Three-Way Venn Diagram