A double-sided PDF worksheet with questions and answers on Decimals. 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:
Decimal Arithmetic
Recurring Decimals
Skill Questions:
Multiply Decimal and Integer
Divide Decimal and Integer
Convert Fraction to Recurring Decimal
Convert One-Digit Recurring Decimal to Fraction
Convert Simple Recurring Decimal to Fraction
Convert Recurring Decimal to Fraction
Mastery Questions:
Worded Division By Decimal
Convert 3-Digit Recurring Decimal to Fraction
Convert 0.axy Recurring Decimal to Fraction With xy Being Recurring
Find Recurring Decimal From Fraction List
Find Recurring Decimal Given Similar Recurring Decimal
Show 0.9 Recurring Equals 1
A double-sided PDF worksheet with questions and answers on Cumulative Frequency. 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:
Boxplots
Cumulative Frequency Graphs
Skill Questions:
Construct Boxplot
Find Median From Boxplot
Find Interquartile Range From Boxplot
Compare Boxplots
Draw Cumulative Frequency Graph
Estimate Less Than With Cumulative Frequency Graph
Estimate More Than With Cumulative Frequency Graph
Find Median On Cumulative Frequency Graph
Find Upper And Lower Quartiles On Cumulative Frequency Graph
Find Inter-Quartile Range On Cumulative Frequency Graph
Mastery Questions:
Construct Boxplot From IQR and Range
Use Cumulative Frequency Graph To Find Probability
Create Boxplot From Cumulative Frequency Graph
Understanding Consistency Using IQR
Estimate Amounts From Boxplot
Find Middle Percentage On Cumulative Frequency Graph
A double-sided PDF worksheet with questions and answers on Circle Theorems. 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:
Identifying Circle Theorems
Applying Circle Theorems
Skill Questions:
Identify Angle at Centre
Identify Angle Between Tangent and Radius
Identify Angle in a Semicircle
Identify Angles from Same Chord
Identify Cyclic Quadrilateral
Identify Equal Lengths of Tangents
Identify Perpendicular From Centre Bisects the Chord
Identify Alternate Segment Theorem
Isosceles Triangle in Circles
Angle At Centre
Angles In Cyclic Quadrilateral
Angles In Same Segment
Bisecting The Chord
Using Angles In A Semicircle
Using Radius To A Tangent
Using Tangents From A Point To A Circle
Alternate Segment Theorem
Mastery Questions:
Multiple Circle Theorems With One Tangent
Multiple Circle Theorems With Two Tangents
Find Angle Using Circle Theorem With Only Expressions
Multiple Circle Theorems Finding Algebraic Expression
Proof of Angle In Semi Circle – Circle Theorems
A double-sided PDF worksheet with questions and answers on Averages. 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:
Averages From A List
Averages From Tables
Skill Questions:
Mode from A List
Range from A List
Mean from A List
Median from A List
Mode from A Stem And Leaf Diagram
Range from A Stem And Leaf Diagram
Median from A Stem And Leaf Diagram
Mode from Frequency Table
Mean from Frequency Table
Median from Frequency Table
Modal Class from Grouped Frequency Table
Mean from Grouped Frequency Table
Median from Grouped Frequency Table
Mastery Questions:
Find Total Number From Frequency Table
Applied Mean from Grouped Frequency Table
Find Missing Number From Mean
Find Mean From Bar-Line Graph
Use All Averages To Find Missing Numbers
Finding Mean from Means
A double-sided PDF worksheet with questions and answers on Circles. 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:
Circumference of Circle
Area of Circle
Lengths And Areas In Sectors
Skill Questions:
Circumference From Diameter
Circumference From Radius
Circumference From Radius (In Terms Of Pi)
Find Diameter Given Circumference
Area From Radius
Area From Diameter
Area From Diameter (In Terms Of Pi)
Find Radius Given Area
Find Area of Quarter Circle
Find Perimeter of Quarter Circle
Find Area of Sector
Find Length of Arc
Perimeter of Sector
Mastery Questions:
Parts of a Circle
Area of Circle In Shaded Trapezium
Circle in Square Area Problem
Find Number of Revolutions On A Wheel Given Diameter
Sector Area Involving Two Sectors and Real Life
Find Perimeter of Sector Given Area of Sector and Angle
A double-sided PDF worksheet with questions and answers on Circles. 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:
Area and Circumference of Circle
Lengths And Areas In Sectors
Skill Questions:
Circumference From Diameter
Circumference From Radius
Circumference From Radius (In Terms Of Pi)
Find Diameter Given Circumference
Area From Radius
Area From Diameter
Area From Diameter (In Terms Of Pi)
Find Radius Given Area
Find Area of Quarter Circle
Find Perimeter of Quarter Circle
Find Area of Sector
Find Length of Arc
Perimeter of Sector
Mastery Questions:
Parts of a Circle
Area of Circle In Shaded Trapezium
Circle in Square Area Problem
Find Number of Revolutions On A Wheel Given Diameter
Sector Area Involving Two Sectors and Real Life
Find Perimeter of Sector Given Area of Sector and Angle
A double-sided PDF worksheet with questions and answers on Quadratics. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Expand/Factorise (x^2 + bx + c)
Solve (x^2 + bx + c)
Expand/Factorise (ax^2 + bx + c)
Solve (ax^2 + bx + c)
Quadratic Formula
Completing The Square
Skill Questions:
Expand (x + a)(x + b)
Expand (x – a)(x – b)
Expand (x + a)(x – b)
Expand (x – a)^2
Factorise x^2 + bx + c
Factorise x^2 – bx + c
Factorise x^2 ± bx – c
Factorise x^2 – c (Difference of Two Squares)
Solve Basic Quadratic ax^2 = c
Solve Basic Quadratic ax^2 + c = d
Find Roots (Solve) Difference of Two Squares Algebraically x^2 – c
Solve (a = 1) Quadratic Algebraically x^2 + bx + c = 0
Solve (a = 1) Quadratic Algebraically x^2 – bx + c = 0
Solve (a = 1) Quadratic Algebraically x^2 ± bx – c = 0
Expand (cx + a)(dx + b)
Expand (cx – a)(dx – b)
Expand (cx + a)(dx – b)
Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 + bx + c = 0
Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 – bx + c = 0
Factorise (a > 1 and a = prime) Quadratic Algebraically ax^2 ± bx – c = 0
Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 + bx + c = 0
Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 – bx + c = 0
Factorise (a > 1 and a not prime) Quadratic Algebraically ax^2 ± bx – c = 0
Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 + bx + c = 0
Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 – bx + c = 0
Solve (a > 1 and a = prime) Quadratic Algebraically ax^2 ± bx + c = 0
Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 + bx + c = 0
Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 – bx + c = 0
Solve (a > 1 and a not prime) Quadratic Algebraically ax^2 ± bx – c = 0
Solve ax^2 + bx + c = 0
Solve -ax^2 + bx – c = 0
Solve ax^2 – bx – c = 0
Solve x^2 + bx + c = 0
Solve x^2 – bx + c = 0
Solve x^2 + bx – c = 0
Complete The Square For x^2 + bx + c
Complete The Square For x^2 – bx – c
Complete The Square For ax^2 + bx + c
Complete The Square For ax^2 – bx – c
Solve By Completing The Square For x^2 + bx + c (as surd)
Solve By Completing The Square For ax^2 – bx – c (as surd)
Mastery Questions:
Expression For Area of Rectangle With Quadratic Algebra
Find x From Area Of Square Involving Forming And Solving Quadratic
Find x From Angles In Triangle Involving Forming And Solving Quadratic
Use Difference Of Two Squares To Find Numbered Multiplication
Find Shaded Area Expression Involving Two Expansions
Rearrange And Solve Quadratic
A double-sided PDF worksheet with questions and answers on Formulae. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Using Formulae
Rearranging Formulae
Rearranging Advanced Formulae
Skill Questions:
Identify Equation, Expression, Formula and Identity
Substituting into suvat Formulae
Writing Formulae
Rearranging Simple Formulae in Form x = y + a
Rearranging Simple Formulae in Form x = ay + b
Rearranging Simple Formulae in Form x = y/a
Rearranging Simple Formulae in Form y = (ax/b) + c
Rearranging Formulae Involving Simple Factorising
Rearranging Formulae Involving Advanced Factorising
Rearranging Advanced Formulae in Form y = a√(bx/c)
Mastery Questions:
Rearranging Simple Formulae in Form x = a – y
Rearranging Simple Formulae in Form x = ay + b Where a Is A Fraction
Rearranging Simple Formulae in Form x = a(y + b)
Rearranging Speed Formula
Rearrange v = u + at
Rearrange v2 = u2 + 2as
A double-sided PDF worksheet with questions and answers on Factors and Primes. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for foundation GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Factors, Multiples, HCF and LCM
Product of Primes
Skill Questions:
List Multiples
List Factors
Find HCF
Find LCM
Product of Prime Factors
Product of Prime Factors (Index Form)
Find HCF From Product Of Primes
Find LCM From Product Of Primes
Mastery Questions:
HCF From Worded Problem
LCM From Bus Problem
Find Product Of Prime Factors Given Similar Product Of Primes
Find Number From HCF and LCM and Other Number
Find Number From HCF and LCM Only
Find Square Root From Product Of Primes
A double-sided PDF worksheet with questions and answers on Factors and Primes. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
HCF and LCM
Product of Primes
Skill Questions:
List Multiples
List Factors
Find HCF
Find LCM
Product of Prime Factors
Product of Prime Factors (Index Form)
Find HCF From Product Of Primes
Find LCM From Product Of Primes
Mastery Questions:
HCF From Worded Problem
LCM From Bus Problem
Find Product Of Prime Factors Given Similar Product Of Primes
Find Number From HCF and LCM and Other Number
Find Number From HCF and LCM Only
Find Square Root From Product Of Primes
A double-sided PDF worksheet with questions and answers on Fractions. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Add and Subtract Fractions
Multiply And Divide Fractions
Skill Questions:
Add Simple
Subtract Simple
Add Mixed
Subtract Mixed
Multiply Simple
Divide Simple
Multiply Mixed
Divide Mixed
Divide Integer By Simple Fraction
Divide Fraction By Integer
Mastery Questions:
Add Mixed Fractions From Worded Question
Area of Rectangle Involving Mixed Numbers
Divide Mixed Fractions From Worded Question
Fractions In A Fraction
Repeated Worded Fractions
Find Value For x By Subtracting Mixed Numbers
A double-sided PDF worksheet with questions and answers on Formulae. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for foundation GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Using Formulae
Rearranging Formulae
Skill Questions:
Identify Equation, Expression, Formula and Identity
Substituting into suvat Formulae
Writing Formulae
Rearranging Simple Formulae in Form x = y + a
Rearranging Simple Formulae in Form x = y/a
Rearranging Simple Formulae in Form x = ay + b
Mastery Questions:
Rearranging Simple Formulae in Form x = a – y
Rearranging Simple Formulae in Form x = ay + b Where a Is A Fraction
Rearranging Simple Formulae in Form x = a(y + b)
Rearranging Speed Formula
Rearrange v = u + at
Rearrange v2 = u2 + 2as
A double-sided PDF worksheet with questions and answers on Fractions Decimals Percentages. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for foundation GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Decimal Arithmetic
Fractions and Decimals
Fractions and Percentages
Skill Questions:
Multiply Decimal and Integer
Divide Decimal and Integer
Convert Fraction To Decimal
Convert Decimal To Fraction
Ordering Decimals and Fractions
Convert Fraction To Percentage (Calculator)
Convert Percentage To Fraction
Convert Simple Fraction To Percentage
Find Percentage Of One Quantity To Another
Find Percentage Of One Quantity To Another (Calculator)
Ordering Percentages, Decimals and Fractions
Mastery Questions:
Find Fraction From Written Question
Shade a Percentage Of Squares
Worded Division By Decimal
Find Percentage Difference Between Shaded/Unshaded Squares
Ordering Fractions And Percentage From Written
Find Missing Number In Fraction And Percentage Comparison
A double-sided PDF worksheet with questions and answers on Function Notation. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Understanding Function Notation
Basic, Composite and Inverse Functions
Graphic Transformations (Multiplications)
Graphic Transformations (Translations)
Skill Questions:
Solving With A Function
Using A Function To Substitute Values
Manipulating A Function
Substitute With Composite Functions
Solve With Composite Functions
Work Out Quadratic Composite Functions
Find Simple Inverse Function
Find Advanced Inverse Function
Graphic Transformations Of Cubic af(x)
Graphic Transformations Of Cubic -f(x)
Graphic Transformations Of Cubic f(ax)
Graphic Transformations Of Cubic f(-x)
Graphic Transformations Of Quadratic af(x)
Graphic Transformations Of Quadratic f(ax)
Graphic Transformations Of Quadratic f(x) + a
Graphic Transformations Of Quadratic f(x + a)
Graphic Transformations Of Cubic f(x) + a
Graphic Transformations Of Cubic f(x + a)
Mastery Questions:
Find Function From fg(x)
Find Advanced Inverse Function With Different Notation
Find Function From Graphic Transformation f(x+k)
Find Composite Of Function And Its Inverse
Find fg(x) = gf(x)
Find Function From Graphic Transformation kf(x)
A double-sided PDF worksheet with questions and answers on Handling Data. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Stem and Leaf, Pie Charts and Frequency Polygons
Time Series
Two-Way Tables
Sampling
Skill Questions:
Draw Pie Chart
Find Frequency From Pie Chart
Draw Stem and Leaf Diagram
Draw Stem and Leaf Diagram With Decimals
Draw Back-To-Back Stem and Leaf Diagram
Draw Frequency Polygon
Draw Time Series Graph
Time Series Graph Describe Trend
Time Series Graph Find Best Quarter
Two-Way Tables Completing Simple
Two-Way Tables Completing Harder
Two-Way Tables Without Table Given
Sampling Issues
Selecting Random Sample
Stratified Sampling
Capture-Recapture
Mastery Questions:
Data Graphs: Find Median From Back-To-Back Stem and Leaf Diagram
Find Probability From Frequency Polygon
Find Given-That Probability From Two Way Table
Find Suitable Diagram For Data
Finding Reasons Time Series Graph Is Misleading
Comparing Pie Charts If No Frequency Given
A double-sided PDF worksheet with questions and answers on Handling Data. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for foundation GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Bar Charts and Basic Histograms
Frequency Tables And Pictograms
Pie Charts
Stem and Leaf Diagrams
Time Series
Two-Way Tables
Sampling
Skill Questions:
Draw Comparative Bar Chart
Draw Composite Bar Chart
Draw Simple Histogram
Draw Frequency Polygon
Create Frequency Table
Create Grouped Frequency Table
Create Grouped Frequency Table From Decimals
Interpret Frequency Table
Complete Pictogram
Find Highest In Pictogram
Find Amount From Pictogram
Draw Pie Chart
Find Frequency From Pie Chart
Interpret Pie Chart
Draw Stem and Leaf Diagram
Draw Back-To-Back Stem and Leaf Diagram
Draw Stem and Leaf Diagram With Decimals
Draw Time Series Graph
Time Series Graph Describe Trend
Time Series Graph Find Best Quarter
Interpreting a Distance Table
Timetables
Two-Way Tables Completing Simple
Two-Way Tables Completing Harder
Two-Way Tables Without Table Given
Sampling Issues
Selecting Random Sample
Stratified Sampling
Mastery Questions:
Data Graphs: Find Median From Back-To-Back Stem and Leaf Diagram
Find Probability From Frequency Polygon
Find Given-That Probability From Two Way Table
Find Suitable Diagram For Data
Finding Reasons Time Series Graph Is Misleading
Comparing Pie Charts If No Frequency Given
A double-sided PDF worksheet with questions and answers on Algebraic Fractions. The worksheet has skill and mastery questions and a full marking grid so students have a gap-analysis of what they understand and what they need to improve.
Suitable for higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Add And Subtract Algebraic Fractions
Simplify Algebraic Fractions
Solve Algebraic Fractions
Skill Questions:
Add Algebraic Fractions In Form x/a + x/b
Subtract Algebraic Fractions In Form x/a – x/b
Add Algebraic Fractions In Form (x+a)/b + (x+c)/d
Add Algebraic Fractions In Form a/(x+b) + c/(x+d)
Add Algebraic Fractions By Factorising Demoninator
Simplifying Single Quadratic
Simplifying With Two Quadratics (a=1)
Simplifying With Two Quadratics (a>1)
Simplifying Quadratic With Diff Of 2 Squares
Solve Algebraic Fraction With Simple Quadratic
Solve Algebraic Fraction With Single Bracket Quadratic
Solve Algebraic Fraction With Double Bracket Quadratic
Mastery Questions:
Add Algebraic Fractions In Form ax + b/(x+c)
Add Algebraic Fractions To Find The Mean
Use Algebraic Fractions To Find Height Of Compound Shape From Areas
Solve Algebraic Fraction From Worded Problem
Use Algebraic Fractions To Rearrange Involving Three Fractions
Use Algebraic Fractions To Solve Reciprocal Problem
A double-sided PDF worksheet with questions and answers on Basic Number. 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:
Place Value
Selecting Number Type From List
Operations
Skill Questions:
Words to Digits
Digits to Words
Find Value Of Digit In Number
Find Multiple In List
Find Prime In List
Find Factor In List
Order Of Operations (+ and x)
Order Of Operations (Indices and Brackets)
Order Of Operations (x and + in a fraction)
Mastery Questions:
Smallest Odd Number From Digits
Largest Even Number From Digits
Find The Sum And Product Of Numbers
Incorrect Cube Number
Factors Of Primes
Describe Relationship Between Numbers
A double-sided PDF worksheet with questions and answers on Basic Geometry. 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:
Properties of 2D Shapes
3D Shapes
Skill Questions:
Find Angle in Kite
Find Angle in Parallelogram
Identify Congruent Shapes
Identify Quadrilateral
Find Property Of 3D Shape
Identify 3D Shape
Planes Of Symmetry
Mastery Questions:
Find Faces In Prism
Find Edges In Prism
Find Vertices In Prism
Find Formula For Faces In Prism
Find Formula For Edges In Prism
Find Formula For Vertices In Prism
An exploration of psychological formulation as a type of offence analysisfrom an experienced Psychology teacher and examiner. This covers the key concepts and SODA as an evaluation strategy. As well as novel exam questions and mark schemes for practicing with students.