A double-sided PDF worksheet with questions and answers on Time. 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:
3M4a tell and write the time from an analogue clock; 12-hour clocks
3M4b tell and write the time from an analogue clock; 24-hour clocks
3M4c tell and write the time from an analogue clock, including using Roman numerals from I to XII
3M4d estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock / a.m. / p.m., morning, afternoon, noon and midnight
3M4e know the number of seconds in a minute and the number of days in each month, year and leap year
3M4f compare durations of events, [e.g. to calculate the time taken by particular events or tasks]
4M4a read, write and convert time between analogue and digital 12-hour clocks
4M4b read, write and convert time between analogue and digital 24-hour clocks
4M4c solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days
Preparation Questions:
Select correct 12-hour clock time from clock
Select correct 24-hour clock time from clock
Select correct 12-hour clock time from roman numeral clock
Find time with minutes before noon/midnight
Convert 24 hour digital time to written time
Counting days in multiple months
Write date a week after date in late February in a leap year
Find time after x hours and minutes on digital clock
Find time between analogue clock and digital clock
Topic Questions:
Find two digital time from analogue clock and time of day
Find two digital times from analogue clock
Convert hours and a half into minutes
Convert minutes into seconds
Order times given in hours and minutes.
Convert weeks to days
Convert years into months
Convert between months, years, hours, days and weeks
Convert minutes to hours and minutes
A double-sided PDF worksheet with questions and answers on Volume. 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 5 Students.
The download includes the Questions PDF and the Answers PDF.
Strands included:
5M8 estimate volume [e.g. using 1cm3 blocks to build cuboids (including cubes)] and capacity [e.g. using water]
Preparation Questions:
Mentally Multiply 2-12 With 2-12 And 2
Topic Questions:
Find volume of cuboid made of cubes with depth 2
Find volume of cuboid made of cubes with depth 3
Find volume of stairs-shape made of cubes
Find volume of U-shape made of cubes
Find volume of odd shapes made of cubes
Find volume of non-prism shape made of cubes with depth 2
Find volume of non-prism shape made of cubes with depth 3
Find capacity of hole in shape made of cubes
A double-sided PDF worksheet with questions and answers on Properties of Shapes. 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 5 Students.
The download includes the Questions PDF and the Answers PDF.
Strands included:
4G2a compare and classify geometric shapes, including quadrilaterals and triangles based on their properties and sizes
4G2b identify lines of symmetry in 2-D shapes presented in different orientations
4G2c complete a simple symmetric figure with respect to a specific line of symmetry
4G4 identify acute and obtuse angles and compare and order angles up to two right angles by size
5G2a use the properties of rectangles to deduce related facts and find missing lengths and angles
5G3b identify 3-D shapes including cubes and other cuboids, from 2-D representations
5G4a know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
5G4b identify: (1) angles at a point and one whole turn (total 360o) (2) angles at a point on a straight line and 1 2 a turn (total 180o) (3) other multiples of 90o
Preparation Questions:
Identify Triangle
Identify Quadrilateral
Draw lines of symmetry onto shape
Identify lines of symmetry from written shape
Draw reflection across a vertical mirror line with shape touching mirror
Draw reflection of complex shape with no squares under shape, but around sides
Identify acute and obtuse from written angle
Understanding acute and obtuse angles
Find obtuse and acute angles from diagram
Topic Questions:
Find missing coordinates given rectangle, one point on vertex and one at centre
Finding missing dice faces given that opposites add to 7
Identify 3D Shape
Circle type of angle
Circle approximation of angle
Converting divers turns into degrees
Find Angle On A Straight Line
Find Angle On A Point
Find Vertically Opposite Angle On A Point
A double-sided PDF worksheet with questions and answers on Position and Direction. 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:
5P2 identify, describe and represent the position of a shape following a refection or translation, using the appropriate language, and know that the shape has not changed
6P2 draw and translate simple shapes on the co-ordinate plane, and reflect them in the axes
6P3 describe positions on the full co-ordinate grid (all four quadrants)
Preparation Questions:
Draw reflection across a vertical mirror line
Draw reflection across a horizontal mirror line
Draw reflection across a horizontal and vertical mirror line with shape touching line
Draw reflection across a horizontal and vertical mirror line with shape not touching line
Draw shape translated right and up
Draw shape translated right and down
Draw shape translated left and down
Draw shape translated left and up
Describe shape translated right and down
Topic Questions:
Translate a shape on one quadrant graph given new coordinate
Translate a shape on four quadrants graph given right and up
Find missing coordinate of reflected shape on graph, with no grid lines
Draw Translation With negatives
Find Coordinates In 4 Quadrants
Find Point With Coordinates In 4 Quadrants
Draw coordinates on graph and translate a shape
Find missing coordinate to make a square
Plot missing coordinates to make quadrilateral
A double-sided PDF worksheet with questions and answers on Statistics. 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:
3S1 interpret and present data using bar charts, pictograms and tables
3S2 solve one-step and twostep questions [e.g. ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts, pictograms and tables
4S1 interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
4S2 solve comparison, sum and diference problems using information presented in bar charts, pictograms, tables and other graphs
Preparation Questions:
Create Frequency Table From Tally Table
Create Frequency Table
Read a basic Bar Chart
Draw Bar Chart
Find Amount From Pictogram
Complete Pictogram
Compare values from frequency table
Compare bars in bar chart
Find Difference From Pictogram
Topic Questions:
Read Table with day vs person vs wake-up time
Complete Bar Chart Given Total and One Bar
Find Highest In Pictogram
Draw Time Graph (year vs sales)
Find number of times student woke after time given table
Interpret dual bar chart
Read single pictogram with a quarter
Find distance from time graph (distance vs time)
Interpret time graph (water level vs time)
A double-sided PDF worksheet with questions and answers on Ratio. 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:
5C7a multiply numbers up to 4 digits by a oneor two-digit number using a formal written method, including long multiplication for two digit numbers
5C7b divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
5C8b solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
5C8c solve problems involving multiplication and division including scaling by simple fractions and problems involving simple rates
5M9a use all four operations to solve problems involving measures [money] using decimal notation, including scaling
6R1 solve problems involving the relative sizes of two quantities, where missing values can be found by using integer multiplication and division facts
6R3 solve problem involving similar shapes where the scale factor is known or can be found
6R4 solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Preparation Questions:
Multiply / Divide Using Written Methods: Multiply Two Digit And Two Digit Given Numbers In Long Multiplication Grid
Finding missing numbers in long multiplication grid
Multiply / Divide Using Written Methods: Short Division With Three Digit Divided By 3 – 9 With Carries No Remainders
Find the amount of eggs that will fit into boxes and remainders
Multiply / Divide Using Written Methods: Short Division With Four Digit Divided By 3 – 9 With Carries No Remainders
Sharing leaflets between three people
Find number of time turbine spun given number that are working and total number of spins
Find amounts from a recipe
Compare buying a pack of stickers to individual stickers
Topic Questions:
Understanding that you need to count all parts in a ratio
Use rule to estimate total length of alligators
Find cost of pineapple given mango cost and comparison cost
Find new height of stack given some boxes removed knowing total height
Convert lengths on scale model given scale
Making a scale model of a statue
Find distance ratio between two similar triangles
Use written ratio of seeds planted to grown to find how many planted from grown
Find large brick weight given equal weights of small and large bricks and small weight
A double-sided PDF worksheet with questions and answers on Converting Units. 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 5 Students.
The download includes the Questions PDF and the Answers PDF.
Strands included:
4M4a read, write and convert time between analogue and digital 12-hour clocks
4M4b read, write and convert time between analogue and digital 24-hour clocks
4M4c solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days
4M5 convert between diferent units of measurement [e.g. kilometre to metre; hour to minute]
5M4 solve problems involving converting between units of time
5M5 convert between different units of metric measure [e.g. kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]
5M6 understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
5M9c use all four operations to solve problems involving measure [e.g. mass] using decimal notation, including scaling
5M9d use all four operations to solve problems involving measure [e.g. volume] using decimal notation, including scaling
Preparation Questions:
Find two digital time from analogue clock and time of day
Find two digital times from analogue clock
Convert hours and a half into minutes
Convert minutes into seconds
Order times given in hours and minutes.
Convert weeks to days
Convert years into months
Convert between months, years, hours, days and weeks
Convert minutes to hours and minutes
Find remaining milk given start amount and amount poured
Topic Questions:
Find time before and after time in a race
Find correct time given current time on watch and minutes fast
Find the amount of washes from box of washing powder – division
Convert degrees C temperature to degrees F with a thermometer scale
Circle Approximation to 1 foot in cm
Find change given given fraction weights of two purchases and price per weight
Find how many days a box of oats will last given daily consumption
Find total volume of three in litres given volume of one in ml
Find how much juice left over after giving ml to children from x litre jug
A double-sided PDF worksheet with questions and answers on Decimals. 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:
5F6a read and write decimal numbers as fractions [e.g. 0.71 = 7 / 100]
5F8 read, write, order and compare numbers with up to three decimal places
5F10 solve problems involving numbers up to three decimal places
6F9a identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to three decimal places
6F9b multiply one-digit numbers with up to two decimal places by whole numbers
6F10 solve problems which require answers to be rounded to specified degrees of accuracy
Preparation Questions:
Select inequality for fraction and decimal comparisons
Compare And Order Decimals: Add Two Digit And 2 D.P. Decimal To Two Digit And 3 D.P. Decimal
Compare And Order Decimals: Subtract Three Digit And 2 D.P. Decimal To Two Digit And 1 D.P. Decimal With Simple Borrow
Compare And Order Decimals: Add One Digit And 1 D.P. Decimal To One Digit And 3 D.P. Decimal No Carries
Compare And Order Decimals: Subtract Two Digit And 1 D.P. Decimal To Two Digit And 3 D.P. Decimal With Simple Borrow
Subtract One Digit Number To One Digit And 3 D.P. Decimal
Order four decimals
Circle pair of decimals that add to a decimal
Find starting number from long list of operations (divide, add, divide) and answer
Topic Questions:
Multiply / Divide Decimals: Divide 0.X By 10
Multiply / Divide Decimals: Divide 0.X By 100
Multiply XX.XX By 10
Use multiplication fact to answer similar questions
Multiply / Divide Decimals: Multiply Two Digit And One Digit With 1 D.P.
Multiply / Divide Decimals: Multiply 0.X And Multiple Of 100
Multiply / Divide Decimals: Multiply 0.5 And Two Digit Even Number
Multiply One Digit With 1 D.P. And Multiple Of Ten
Find starting money from long list of operations (subtract,subtract) and fraction left
A double-sided PDF worksheet with questions and answers on Decimals. 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 5 Students.
The download includes the Questions PDF and the Answers PDF.
Strands included:
4F1 count up and down in hundredths; recognise that hundredths arise when dividing an object by a hundred and dividing tenths by ten
4F6a recognise and write decimal equivalents to 1/4, 1/2, 3/4
4F6b recognise and write decimal equivalents of any number of tenths or hundredths
5F6a read and write decimal numbers as fractions [e.g. 0.71 = 7 / 100]
5F8 read, write, order and compare numbers with up to three decimal places
5F10 solve problems involving numbers up to three decimal places
Preparation Questions:
Write next number in sequence going down in 100ths
Find missing division of 100 from integer and decimals
Find missing division of 10 from two decimals
Convert a fraction quarter to a decimal
Convert an improper fraction quarter to a decimal
Find decimals and fraction same as fraction
Convert a fraction tenth to a decimal
Convert a fraction hundredth to a decimal
Convert an improper fraction tenth to a decimal
Topic Questions:
Select inequality for fraction and decimal comparisons
Compare And Order Decimals: Add Two Digit And 2 D.P. Decimal To Two Digit And 3 D.P. Decimal
Compare And Order Decimals: Subtract Three Digit And 2 D.P. Decimal To Two Digit And 1 D.P. Decimal With Simple Borrow
Compare And Order Decimals: Add One Digit And 1 D.P. Decimal To One Digit And 3 D.P. Decimal No Carries
Compare And Order Decimals: Subtract Two Digit And 1 D.P. Decimal To Two Digit And 3 D.P. Decimal With Simple Borrow
Subtract One Digit Number To One Digit And 3 D.P. Decimal
Order four decimals
Circle pair of decimals that add to a decimal
Find starting number from long list of operations (divide, add, divide) and answer
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 6 Students.
The download includes the Questions PDF and the Answers PDF.
Strands included:
5F2a recognise mixed numbers and improper fractions and convert from one form to the other; write mathematical statements >1 as a mixed number [e.g. 2/5 + 4/5 = 6/5 = 1 1/5 ]
5F3 compare and order fractions whose denominators are all multiples of the same number
5F4 add and subtract fractions with the same denominator and denominators that are multiples of the same number
5F5 multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
6F2 use common factors to simplify fractions; use common multiples to express fractions in the same denomination
6F3 compare and order fractions, including fractions >1
6F4 add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
6F5a multiply simple pairs of proper fractions, writing the answer in its simplest form [e.g. 1/4 × 1/2 = 1/8]
6F5b divide proper fractions by whole numbers [e.g. 1/ 3 ÷ 2 = 1/ 6]
Preparation Questions:
Circle improper fraction equivalent to mixed number
Find fractions less than a fraction
Add / Subtract Fractions: Subtract Fractions Where Second Denominator is First Multiplied By 2
Add / Subtract Fractions: Add Fractions Where Second Denominator is First Multiplied By 3
Multiply / Divide Fractions: Multiply Fraction And Large Whole Number
Multiply / Divide Fractions: Find 1 And A Half Of Two Digit Odd Number
Multiply / Divide Fractions: Multiply Simple Fractions And 100 Or 1000
Find 1 And Three Quarters Of Multiple Of Ten
Find the length of a day on another planet
Topic Questions:
Fill in gaps to make equivalent fractions
Order fractions with same and different denominators
Add / Subtract Fractions: Add Fraction And Fraction With Numerators 2-4 and 1 And Different Denominators
Add Mixed Number And Mixed Number With Numerators 1 And Similar Denominators
Find remaining fraction of garden given two fractions with different denominators
Find unshaded fraction in pie chart given two other fractions
Find missing numbers in fraction sequence
Multiply Fractions With Non-1 Numerators and Different Denominators
Multiply / Divide Fractions: Divide Proper Fraction By Whole Number
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 5 Students.
The download includes the Questions PDF and the Answers PDF.
Strands included:
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
5F2a recognise mixed numbers and improper fractions and convert from one form to the other; write mathematical statements >1 as a mixed number [e.g. 2/5 + 4/5 = 6/5 = 1 1/5 ]
5F3 compare and order fractions whose denominators are all multiples of the same number
5F4 add and subtract fractions with the same denominator and denominators that are multiples of the same number
5F5 multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Preparation 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
Topic Questions:
Circle improper fraction equivalent to mixed number
Find fractions less than a fraction
Add / Subtract Fractions: Subtract Fractions Where Second Denominator is First Multiplied By 2
Add / Subtract Fractions: Add Fractions Where Second Denominator is First Multiplied By 3
Multiply / Divide Fractions: Multiply Fraction And Large Whole Number
Multiply / Divide Fractions: Find 1 And A Half Of Two Digit Odd Number
Multiply / Divide Fractions: Multiply Simple Fractions And 100 Or 1000
Find 1 And Three Quarters Of Multiple Of Ten
Find the length of a day on another planet
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 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 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 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 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 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