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These papers have been created from the 2023 Summer maths GCSE.
This bundle includes all 3 papers.
This purchase includes:
PDF versions of the famous ‘onmaths predictions’
Full question and answer papers
The answer papers include full working out
The original paper (which is used in the youtube walkthrough)
NINE variants which allow teachers to give the same test 9 different times with different numbers. This could be used for homework once a week for nine weeks!
The questions are exam-style but are unique to onmaths.
A double-sided PDF worksheet with questions and answers on Algebraic 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:
Simplifying Algebraic Indices
Algebraic Indices Involving Brackets
Skill Questions:
Multiply Indices Without Coefficients
Divide Indices Without Coefficients
Indices of 0
Multiply Indices with Coefficients
Divide Indices with Coefficients
Multiply And Divide Algebraic Indices Without Coefficients
Indices in Brackets without Coefficients
Indices in Brackets with Coefficients
Negative Indices in Brackets with Coefficients
Mastery Questions:
Find Missing Exponent From Multiplying Indices
Multiply Indices with Coefficients And Multiple Variables
Find Area Of Square Given Perimeter Using Algebraic Indices
Find Missing Exponent With Bracketed Algebraic Indices Problem
Algebraic Indices Problem Solving
Indices in Two Brackets with Coefficients
A double-sided PDF worksheet with questions and answers on Algebraic 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:
Simplifying Algebraic Indices
Algebraic Indices Involving Brackets
Skill Questions:
Multiply Indices Without Coefficients
Divide Indices Without Coefficients
Indices of 0
Multiply Indices with Coefficients
Divide Indices with Coefficients
Multiply And Divide Algebraic Indices Without Coefficients
Indices in Brackets without Coefficients
Indices in Brackets with Coefficients
Negative Indices in Brackets with Coefficients
Brackets with Coefficients and Negative Fraction Index
Mastery Questions:
Find Missing Exponent From Multiplying Indices
Multiply Indices with Coefficients And Multiple Variables
Find Area Of Square Given Perimeter Using Algebraic Indices
Find Missing Exponent With Bracketed Algebraic Indices Problem
Algebraic Indices Problem Solving
Indices in Two Brackets with Coefficients
A double-sided PDF worksheet with questions and answers on Accuracy. 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:
Rounding
Estimation
Finding Minimum and Maximum Values
Error Intervals
Skill Questions:
Round to 2 decimal places
Round Integer to 3 Significant Figures
Round Decimal to 3 Significant Figures
Use Fact to Find Answer (Times)
Use Fact to Find Answer (Divide)
Basic Fraction
Sum with Root
Find Maximum (Integer)
Find Minimum (Integer)
Find Minimum (0.1)
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)
A double-sided PDF worksheet with questions and answers on 3D Right-Angles. 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 Pythagoras In 3D
Using Trigonometry In 3D
Skill Questions:
Find Diagonal In Cube Using Pythagoras’ Theorem
Find Diagonal In Cuboid Using Pythagoras’ Theorem
Find Pyramid Height Using Pythagoras’ Theorem
Find Simple Angle In Cuboid Using Trigonometry
Find Angle In Cuboid Using Trigonometry
Find Angle In Pyramid Using Trigonometry
Mastery Questions:
Find Diagonal In Triangular Prism Using Pythagoras’ Theorem
Find Longest Diagonal In Cuboid Using Pythagoras’ Theorem
Find Angle Of Apex In Cone Using Trigonometry
Find Diagonal In Triangular Prism Using Trigonometry
Diagonal Around A Cylinder Using Pythagoras
Find Angle In Cube With No Lengths Using Trigonometry
A double-sided PDF worksheet with questions and answers on Accuracy. 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:
Estimation
Finding Bounds
Bounds From Calculations
Iteration
Skill Questions:
Use Fact to Find Answer (Times)
Use Fact to Find Answer (Divide)
Basic Fraction
Sum with Root
Find Maximum (Integer)
Find Minimum (Integer)
Find Minimum (0.1)
Find Error Interval (Nearest 10)
Find Error Interval (Nearest 0.1)
Find Error Interval (Nearest 0.01)
Maximum From Calculation (Addition)
Minimum From Calculation (Multiplication)
Maximum From Calculation (Subtraction)
Minimum From Calculation (Division)
Create Iteration Formula To Find Quadratic Solution
Use Iteration To Find Quadratic Solution
Use Iteration To Find Cubic Solution
Mastery Questions:
Maximum Value Of Discrete Data (Nearest 10)
Find Error Interval From Truncated Number
Find Error Interval (Different Units)
Find Error Interval From Percentage
Error Interval For 0kg Item
Maximum Value Of Discrete Data (Nearest Integer)
Error Interval (Nearest Number Not Power Of 10)
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 higher 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 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 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 higher GCSE.
The download includes the Questions PDF and the Answers PDF.
Topics included:
Compound Shapes
Trapeziums
Skill Questions:
Perimeter of U-Shape
Area of U-Shape
Area Of Compound Rectangle And Triangle
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
A double-sided PDF worksheet with questions and answers on Constructions And Loci. 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:
Map Scales
Plans And Elevations
Constructions And Loci
Skill Questions:
Create Scale Drawing
Find Scaled Length From Map Scale
Create Harder Scale Drawing
Drawing a Plan
Drawing a Front Elevation
Drawing a Side Elevation
Draw Perpendicular Bisector From a Line
Draw Angle Bisector
Locus of a Point
Shading a Region
Mastery Questions:
Find Triangle That Cannot Be Constructed
Construct A Triangle From ASA
Construct A Triangle From SSS
Understanding A Drawn Loci
Estimate A Height From Estimate Of Man Height
Name Shape From Plan and Elevations
A double-sided PDF worksheet with questions and answers on Constructions And Loci. 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:
Plans And Elevations
Constructions And Loci
Skill Questions:
Drawing a Plan
Drawing a Front Elevation
Drawing a Side Elevation
Draw Perpendicular Bisector From a Line
Draw Angle Bisector
Locus of a Point
Shading a Region
Mastery Questions:
Find Triangle That Cannot Be Constructed
Construct A Triangle From ASA
Construct A Triangle From SSS
Understanding A Drawn Loci
Estimate A Height From Estimate Of Man Height
Name Shape From Plan and Elevations
A double-sided PDF worksheet with questions and answers on Expand/Factorise Linear. 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 and Simplify Linear
Factorise Linear
Skill Questions:
Expand Linear Bracket with Number
Expand Linear Bracket with Letter and Number
Expand and Simplify Two Linear Brackets
Factorise Linear Expression with Letter
Factorise Linear Expression with Number
Factorise Linear Expression with Letter and Number
Mastery Questions:
Factorise Linear Expression with Number and Multiple Letters
Expression For Area of Rectangle With Algebra
Find Length Of Rectangle From Area With Algebra
Factorise Linear Expression with Only Letters
Finding Missing Numbers In Bracket Identity
Factorise Linear Expression with Multiple Letters And Powers
A double-sided PDF worksheet with questions and answers on Expand/Factorise Linear. 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 and Simplify Linear
Factorise Linear
Skill Questions:
Expand Linear Bracket with Number
Expand Linear Bracket with Letter and Number
Expand and Simplify Two Linear Brackets
Factorise Linear Expression with Letter
Factorise Linear Expression with Number
Factorise Linear Expression with Letter and Number
Mastery Questions:
Factorise Linear Expression with Number and Multiple Letters
Expression For Area of Rectangle With Algebra
Find Length Of Rectangle From Area With Algebra
Factorise Linear Expression with Only Letters
Finding Missing Numbers In Bracket Identity
Factorise Linear Expression with Multiple Letters And Powers
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 Basic Algebra. 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:
Understanding Basic Algebra
Substitution
Skill Questions:
Simplify a x b x c
Simplify ax x by
Collect Like Terms (1 Term With No Coefficients)
Collect Like Terms (1 Term With Coefficients)
Collect Like Terms (2 Terms With Coefficients)
Collect Like Terms (2 Terms With Coefficients including x^2)
Substitute From Written Expression ax + by
Substitute Positive Integers into ax + by
Substitute Positive And Negative Integers into ax + by
Substitute Positive Integers into ax – y^2
Mastery Questions:
Simplify -ax x -bx
Collect Like Terms (3 Terms With Coefficients)
Substitute Negative Integers into xy^2
Substitute Into A Complex Fraction Expression
Find if Answer Is Odd Or Even From Expression
Substitution Problem Where Values Are Known But Order Is Not
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