Compound Measures GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Compound Measures GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Speed, density and pressure practice, including unit conversions and multi-stage problems. What’s included • Foundation Tier practice booklet: 30 questions, 70 marks (13 pages) • Higher Tier practice booklet: 30 questions, 104 marks (20 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Speed, distance and time • Density, mass and volume • Converting between m/s and km/h Higher Tier covers • Average speed over multi-part journeys • Pressure, force and area • Density of mixtures • Converting km/h to m/s Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Growth & Decay GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Growth & Decay GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Compound growth and decay in real contexts, from multipliers to finding the original value. What’s included • Foundation Tier practice booklet: 30 questions, 107 marks (21 pages) • Higher Tier practice booklet: 30 questions, 134 marks (26 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Decimal multipliers for percentage change • Compound growth and depreciation • Changes at different rates in different years • Comparing investments Higher Tier covers • Repeated percentage change • Finding the original value • Finding the rate of growth or decay • Changes at different rates over several years • Finding the smallest number of years to pass a target Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Direct & Inverse Proportion GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Direct & Inverse Proportion GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Proportion from the unitary method and best buys through to proportionality equations. What’s included • Foundation Tier practice booklet: 30 questions, 75 marks (15 pages) • Higher Tier practice booklet: 30 questions, 115 marks (21 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • The unitary method • Scaling recipes • Best-buy comparisons • Inverse proportion (e.g. workers and days, taps filling a tank) Higher Tier covers • Forming equations for direct and inverse proportion • Proportion with x², x³, 1/x and 1/x² • Matching proportion graphs to their relationships • Percentage change problems in proportion Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Averages & Range GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Averages & Range GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Mean, median, mode and range practice, from simple lists to grouped frequency tables. What’s included • Foundation Tier practice booklet: 30 questions, 66 marks (15 pages) • Higher Tier practice booklet: 30 questions, 98 marks (18 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Mean, median, mode and range • Finding a missing value from the mean • Mean from a frequency table Higher Tier covers • Median and mean from frequency tables • Estimating the mean from grouped data • Combined means Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Ratio GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Ratio GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Ratio from simplifying and sharing through to algebraic ratio problems. What’s included • Foundation Tier practice booklet: 30 questions, 94 marks (16 pages) • Higher Tier practice booklet: 30 questions, 112 marks (20 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Simplifying ratios • Sharing an amount in a given ratio • Using a ratio to find an unknown quantity • Recipe problems • Three-part ratios Higher Tier covers • Converting ratios to fractions and percentages • Solving algebraic ratio equations • Problems where the ratio changes • Using the difference between parts • Three-part ratio problems Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Data Representation GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Data Representation GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Reading and drawing bar charts and pie charts. What’s included • Foundation Tier practice booklet: 30 questions, 68 marks (16 pages) • Higher Tier practice booklet: 30 questions, 91 marks (16 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Reading bar charts • Reading pie charts • Working out pie chart angles from a table • Finding missing angles and frequencies Higher Tier covers • Completing pie chart tables • Finding totals from bar charts • Working backwards from pie charts • Pie chart angles given in terms of x Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Cumulative Frequency & Box Plots GCSE Maths Higher Booklet + Mark SchemeQuick View
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Cumulative Frequency & Box Plots GCSE Maths Higher Booklet + Mark Scheme

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A Higher Tier booklet on cumulative frequency and box plots, with graphs printed on grids. What’s included • Higher Tier practice booklet: 30 questions, 81 marks (30 pages) • Full mark scheme for the booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Topics covered • Completing cumulative frequency tables • Drawing and reading cumulative frequency graphs • Estimating the median and interquartile range • Reading box plots • Comparing distributions using box plots Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Scatter Graphs & Correlation GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Scatter Graphs & Correlation GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Scatter graph practice with printed graphs for every question. What’s included • Foundation Tier practice booklet: 30 questions, 55 marks (27 pages) • Higher Tier practice booklet: 30 questions, 76 marks (27 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Describing correlation • Identifying outliers • Drawing and using a line of best fit • Judging how reliable an estimate is Higher Tier covers • Correlation and outliers • Using a line of best fit for estimates • Finding the equation of a line of best fit • Judging how reliable an estimate is Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Histograms GCSE Maths Higher Booklet + Mark SchemeQuick View
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Histograms GCSE Maths Higher Booklet + Mark Scheme

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A Higher Tier booklet on histograms with unequal class widths, with axes printed for drawing. What’s included • Higher Tier practice booklet: 30 questions, 88 marks (29 pages) • Full mark scheme for the booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Topics covered • Calculating frequency density • Drawing histograms • Reading frequencies from a histogram • Completing a table and histogram together Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Standard Form GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Standard Form GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Converting and calculating in standard form, including problems set in scientific contexts. What’s included • Foundation Tier practice booklet: 30 questions, 80 marks (15 pages) • Higher Tier practice booklet: 30 questions, 110 marks (16 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Converting between standard form and ordinary numbers • Multiplying, dividing, adding and subtracting in standard form • Standard form in context (e.g. the speed of light and the mass of cells) Higher Tier covers • Calculations with negative powers • Powers of numbers in standard form • Answers to significant figures • Speed problems in standard form • Finding an unknown power Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Fractions, Decimals & Percentages GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Fractions, Decimals & Percentages GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Calculating with fractions and percentages, from fractions of amounts to reverse percentages and recurring decimals. What’s included • Foundation Tier practice booklet: 30 questions, 80 marks (15 pages) • Higher Tier practice booklet: 30 questions, 117 marks (17 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Fractions of amounts • Converting between fractions, decimals and percentages • Adding, subtracting, multiplying and dividing fractions • Percentage increase and decrease • Percentage change Higher Tier covers • Calculating with mixed numbers • Reverse percentages • Compound interest and depreciation • Successive percentage changes • Converting recurring decimals to fractions Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Surds GCSE Maths Higher Booklet + Mark SchemeQuick View
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Surds GCSE Maths Higher Booklet + Mark Scheme

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A Higher Tier surds booklet covering simplifying, expanding and rationalising. What’s included • Higher Tier practice booklet: 30 questions, 103 marks (16 pages) • Full mark scheme for the booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Topics covered • Simplifying surds • Expanding single and double brackets with surds • Rationalising denominators, including binomial denominators • Simplifying fractions involving surds • Perimeter problems with surd lengths Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Product Rule for Counting GCSE Maths Higher Booklet + Mark SchemeQuick View
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Product Rule for Counting GCSE Maths Higher Booklet + Mark Scheme

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A Higher Tier booklet on the product rule for counting, with plenty of arrangement and code problems. What’s included • Higher Tier practice booklet: 30 questions, 124 marks (21 pages) • Full mark scheme for the booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Topics covered • Counting combinations of choices • Codes made of letters and digits • Ways of awarding 1st, 2nd and 3rd place • Arranging people in a row with restrictions • Codes with no repeated digits Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Tree Diagrams & Conditional Probability GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Tree Diagrams & Conditional Probability GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Completing and using tree diagrams for independent and dependent events, with tree diagram frames provided. What’s included • Foundation Tier practice booklet: 30 questions, 83 marks (17 pages) • Higher Tier practice booklet: 30 questions, 99 marks (19 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Completing tree diagrams for two independent events • Coins, dice and spinners • With and without replacement • Calculating combined probabilities from a tree Higher Tier covers • Taking items without replacement • Three-stage tree diagrams • Conditional probability • Tree diagrams in real-life contexts Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Probability Basics GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Probability Basics GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Core probability from single events to combined and dependent events. What’s included • Foundation Tier practice booklet: 30 questions, 63 marks (15 pages) • Higher Tier practice booklet: 30 questions, 97 marks (24 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Probability of a single event • Probability that an event does not happen • Relative frequency • Expected outcomes • Missing probabilities in tables that sum to 1 Higher Tier covers • Independent events: P(A and B) • Picking two items without replacement • Two-way tables • Probability problems where items fall into two categories • Repeated independent trials Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Venn Diagrams & Set Notation GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Venn Diagrams & Set Notation GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Venn diagrams and set notation, from sorting numbers into sets to three-set problems. What’s included • Foundation Tier practice booklet: 30 questions, 64 marks (16 pages) • Higher Tier practice booklet: 30 questions, 86 marks (16 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Completing Venn diagrams from lists and descriptions • Set notation: ξ, ∩, ∪ and A′ • Shading regions of a Venn diagram • Probabilities from Venn diagrams Higher Tier covers • Listing members of sets • Shading complex regions such as (A ∪ B)′ and A′ ∪ B • Using n(A′ ∩ B) notation • Completing two-set and three-set Venn diagrams • Probabilities from Venn diagrams Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Factors, Multiples, Primes & Indices GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Factors, Multiples, Primes & Indices GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Number fundamentals and index laws in one place, from prime factor decomposition to fractional and negative indices. What’s included • Foundation Tier practice booklet: 30 questions, 61 marks (13 pages) • Higher Tier practice booklet: 30 questions, 100 marks (16 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • HCF and LCM • Writing a number as a product of prime factors • Using prime factorisations to find the LCM • Powers and roots • Index laws, including negative indices Higher Tier covers • Fractional and negative indices • Index laws with powers of powers • Writing answers in the form k × 2ⁿ • HCF and LCM worded problems • HCF and LCM in prime factor form Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Solving Quadratic Equations GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Solving Quadratic Equations GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Practise every GCSE method for solving quadratics, from simple square roots to the quadratic formula and completing the square. What’s included • Foundation Tier practice booklet: 30 questions, 86 marks (15 pages) • Higher Tier practice booklet: 30 questions, 122 marks (16 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Solving equations of the form x² = k and x² + c = k • Solving by factorising (a = 1), including x² + bx = 0 • Solving quadratics using a graph Higher Tier covers • Factorising where a > 1 • The quadratic formula, with answers to 2 decimal places • Completing the square, with answers in surd form • Forming and solving quadratics from area problems Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Circle Theorems GCSE Maths Higher Booklet + Mark SchemeQuick View
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Circle Theorems GCSE Maths Higher Booklet + Mark Scheme

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A Higher Tier booklet on circle theorems, with a diagram for every question and an emphasis on giving correct reasons. What’s included • Higher Tier practice booklet: 30 questions, 89 marks (31 pages) • Full mark scheme for the booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Topics covered • Angle at the centre is twice the angle at the circumference • Angles in the same segment • Opposite angles in a cyclic quadrilateral • Isosceles triangles formed by radii • Tangent and radius, and two tangents from an external point • Stating geometric reasons for each step Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Straight-Line Graphs GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Straight-Line Graphs GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Everything on y = mx + c, from plotting lines to perpendicular bisectors. Graph questions include printed grids for students to draw on. What’s included • Foundation Tier practice booklet: 30 questions, 81 marks (23 pages) • Higher Tier practice booklet: 30 questions, 93 marks (21 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Plotting straight-line graphs from tables of values • Gradient and y-intercept from y = mx + c • Finding the gradient between two points and the midpoint of a line segment • Equation of a line through two points and of a parallel line • Reading values and intersections from a graph Higher Tier covers • Equation of a line through two points • Plotting lines of the form ax + by = c • Perpendicular gradients and equations of perpendicular lines • Length of a line segment • Intersections found algebraically and graphically • Equation of a perpendicular bisector Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.
Angles & Parallel Lines GCSE Maths Booklets | Foundation & Higher + Mark SchemesQuick View
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Angles & Parallel Lines GCSE Maths Booklets | Foundation & Higher + Mark Schemes

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Angle facts practice with clear diagrams for every question. Students work out missing angles and, at Higher, form and solve equations from angle facts. What’s included • Foundation Tier practice booklet: 30 questions, 64 marks (30 pages) • Higher Tier practice booklet: 30 questions, 110 marks (31 pages) • Full mark scheme for each booklet, giving the answer and worked method for every question Questions are grouped into three difficulty bands (Developing, Secure and Greater Depth), so students move from fluency to exam-style problem solving. Each question shows its mark allocation and has working space underneath. Foundation Tier covers • Angles around a point and on a straight line • Vertically opposite angles • Alternate and co-interior angles in parallel lines • Interior and exterior angles of regular polygons Higher Tier covers • Forming and solving equations from angle facts • Angles in parallel lines with algebraic expressions • Finding the number of sides of a regular polygon from its interior angle • Exterior angles given as algebraic expressions Use it for revision, homework, intervention groups, cover lessons or independent practice. Suitable for AQA, Edexcel and OCR GCSE (9–1) Maths. Print-ready PDFs.