Writing and simplifying ratios U687

Using equivalent ratios to find unknown amounts U753

Converting between ratios, fractions and percentages U176

Sharing amounts in a given ratio U577

Problem solving: Sharing amounts in a given ratio U595

Combining ratios U921

Ordering fractions U746

Adding and subtracting fractions U736

Converting between mixed numbers and improper fractions U692

Adding and subtracting mixed numbers U793

Ordering fractions and mixed numbers U439

Multiplying fractions U475

Multiplying with mixed numbers U224

Dividing fractions U544

Dividing with mixed numbers U538

Substituting into expressions U201

Substituting into algebraic formulae U585

Substituting into real-life formulae U144

Simplifying expressions by collecting like terms U105

Simplifying expressions using index laws U662

Changing the subjects of formulae with one step U675

Changing the subjects of formulae with two or more steps U181

Changing the subject when the subject appears more than once U191

Solving equations with one step U755

Solving equations with two or more steps U325

Solving equations with the unknown on both sides U870

Solving equations with the unknown in the denominator U505

Constructing and solving equations U599

Finding the lowest common multiple (LCM) U751

Finding the highest common factor (HCF) U529

Problem solving: Finding the HCF and LCM U125

Finding prime numbers U236

Prime factor decomposition U739

Finding the HCF and LCM using prime factor decomposition U250

Multiplying and dividing surds U633

Simplifying surds U338

Adding and subtracting surds U872

Expanding brackets with surds U499

Rationalising denominators containing a single term U707

Rationalising denominators containing two terms U281

Index rules with positive indices U235

Index rules with negative indices U694

Fractional and negative indices U985, U772

Using standard form with positive indices U330

Using standard form with negative indices U534

Multiplying and dividing numbers in standard form U264

Adding and subtracting numbers in standard form U290

Standard form with a calculator U161

Term-to-term rules U213

Substituting into position-to-term rules U530

Position-to-term rules for arithmetic sequences U498

Position-to-term rules for sequences of patterns U978

Position-to-term rules for quadratic sequences U206

Special sequences U680

Position-to-term rules for geometric sequences U958

Finding equations of straight line graphs U315

Interpreting equations of straight line graphs U669

Finding the equation of a straight line from its gradient and a point U477

Finding the equation of a straight line from two points on the line U848

Equations of parallel lines U377

Equations of parallel and perpendicular lines U898

Plotting graphs of quadratic functions U989

Interpreting graphs of quadratic functions U667

Sketching quadratic graphs U310

Finding the turning point of a quadratic graph by completing the square U769

Expanding single brackets U179

Expanding double brackets U768

Expanding triple brackets U606

Factorising into one bracket U365

Factorising quadratic expressions of the form x^2+bx+c U178

Factorising quadratic expressions of the form ax^2+bx+c U858

Factorising the difference of two squares U963

Completing the square U397

Solving simultaneous equations using elimination U760

Solving simultaneous equations using substitution U757

Solving simultaneous equations involving quadratics  U547

Solving simultaneous equations graphically U836

Solving simultaneous equations involving quadratics graphically U875

Constructing and solving linear simultaneous equations U137

Constructing and solving linear and quadratic simultaneous equations U269

Percentage change without a calculator U773

Percentage change with a calculator U671

Finding original values in percentage calculations U286

Finding the percentage an amount has been changed by U278

Simple interest calculations U533

Compound interest calculations U332

Growth and decay U988

Using probability phrases U803

Writing probabilities as fractions U408

Writing probabilities as fractions, decimals and percentages U510

Probabilities of mutually exclusive events U683

Expected results from repeated experiments U166

Sample space diagrams U104

Venn diagrams U476

Venn diagrams with set notation U748

Using set notation U296

Frequency trees U280

Tree diagrams for independent events U558

Tree diagrams for dependent events U729

Calculating experimental probabilities U580

Using the product rule for counting U369

Conditional probabilities from tables U246

Conditional probabilities from Venn diagrams U699

Using the conditional probability formula U821

Conditional probabilities from tree diagrams U806

Translation U196

Reflection U799

Rotation U696

Enlargement by a positive scale factor U519

Enlargement by a positive or negative scale factor U134

Combining transformations U766

Estimating calculations U225

Finding error intervals U657

Finding bounds for calculations U587

Truncating decimals U108

Finding error intervals for truncated numbers U301

Identifying parts of circles U767

Finding the circumference of circles U604

Finding the area of circles U950

Finding the arc length of sectors U221

Finding the area of sectors U373

Equations of circles and tangents U567

Nets of 3D shapes U761

Plans and elevations U743

Finding the surface area of cubes and cuboids U929

Finding the surface area of prisms U259

Finding the surface area of pyramids U871

Mixed problems: surface area of cuboids, prisms and pyramids U142

Finding the surface area of cylinders U464

Finding the surface area of cones U523

Finding the surface area of spheres U893

Mixed problems: surface area of cones and spheres U771

Finding the surface area of frustums U334

Finding the surface area of composite shapes U561

Finding the volume of cubes and cuboids U786

Finding the volume of prisms U174

Finding the volume of pyramids U484

Finding the volume of cylinders U915

Finding the volume of cones U116

Finding the volume of spheres U617

Mixed problems: volume of cones and spheres U426

Finding the volume of frustums U350

Calculating with speed U151

Calculating with rates U256

Calculating with density U910

Calculating with pressure U527

Mixed problems: Calculating density and pressure U842

Solving direct proportion word problems U721

Solving inverse proportion word problems U357

Currency conversion U610

Interpreting direct proportion equations U640

Constructing direct proportion equations U407

Interpreting inverse proportion equations U364

Constructing inverse proportion equations U138

Understanding sin, cos and tan U605

Finding unknown sides in right-angled triangles U283

Finding unknown angles in right-angled triangles U545

Using the exact values of trigonometric ratios U627

Using the exact values of trigonometric ratios (Higher) U319

Angles of elevation and depression U967

Trigonometry in 3D shapes U170

The sine rule U952

The cosine rule U591

The area rule U592

Understanding congruence U790

Understanding similarity U551

Mixed problems: Understanding similarity and congruence U112

Congruent triangles U866

Finding unknown sides in similar shapes U578

Finding the perimeter and area of similar shapes U630

Finding the surface area and volume of similar shapes U110

Using Pythagoras' theorem in 2D U385

Applying Pythagoras' theorem in 2D U828

Using Pythagoras' theorem in 3D U541

Calculating the range U526

Calculating the median U456

Finding the mode U260

Calculating the mean U291

Finding averages from frequency tables U569

Finding averages from diagrams U854

Finding averages from grouped data U877

Choosing suitable averages and solving problems U717

Interpreting scatter graphs U277

Using lines of best fit U128

Drawing stem-and-leaf diagrams U200

Interpreting stem-and-leaf diagrams U909

Capture recapture U328

Sampling and bias U162

Plotting scatter graphs U199

Interpreting scatter graphs U277

Using lines of best fit U128

Drawing histograms with equal class widths U185

Drawing histograms with unequal class widths U814

Interpreting histograms U983

Calculating averages from histograms U267

Drawing and interpreting frequency polygons U840

Drawing cumulative frequency graphs U182

Interpreting cumulative frequency graphs U642

Drawing box plots U879

Interpreting box plots U837

Comparing populations using box plots and cumulative frequency graphs U507

Drawing and interpreting frequency polygons U840

Drawing cumulative frequency graphs U182

Interpreting cumulative frequency graphs U642

Understanding column vectors U632

Solving geometric problems using vectors U781

Adding and subtracting column vectors U903

Identifying parallel vectors U660

Multiplying column vectors by a scalar U564

Geometric proofs with vectors U560

Combining angle facts U655

Using quadrilateral properties to find angles U329

Angles on parallel lines U826

Angles in polygons U427

Angles subtended at the centre or circumference of a circle U459

Alternate segment theorem U130

Angles in segments and cyclic quadrilaterals U251

Mixed problems: Circle theorems U808

Circle theorems for chords and tangents U489

Proving the circle theorems U807

Measuring and drawing bearings U525

Understanding congruence U790

Calculating bearings U107

Understanding similarity U551

Geometric proofs with angle facts U471

Mixed problems: Understanding similarity and congruence U112

Geometric proofs with congruence and similarity U887

Congruent triangles U866

Finding unknown sides in similar shapes U578

Constructing perpendicular bisectors and lines U245

Using a pair of compasses U678

Mixed problems: Constructing bisectors and perpendicular lines U979

Constructing triangles U184

Constructing loci U820

Constructing bisectors of angles U787

Solving single inequalities U759

Constructing and solving inequalities U337

Solving inequalities with the unknown on both sides U738

Graphs of linear inequalities U747

Solving double inequalities U145

Solving quadratic inequalities U133

Calculating midpoints U933

Finding the equation of a straight line from its gradient and a point U477

Plotting straight line graphs U741

Finding the equation of a straight line from two points on the line U848

Finding equations of straight line graphs U315

Equations of parallel lines U377

Interpreting equations of straight line graphs U669

Equations of parallel and perpendicular lines U898

Plotting linear real-life graphs U652

Using and finding equations of linear real-life graphs U862

Plotting distance-time graphs U403

Plotting distance-time graphs using speeds U966

Interpreting distance-time graphs U914

Plotting velocity-time graphs U937

Calculating speed from distance-time graphs U462

Calculating acceleration from velocity-time graphs U562

Calculating distances from velocity-time graphs U611

Graphs of reciprocal functions U593

Graphs of cubic functions U980

Graphs of exponential functions U229

Properties of trigonometric graphs U156

Using trigonometric graphs U450

Simplifying algebraic fractions by cancelling common factors U103

Adding and subtracting algebraic fractions U685

Simplifying algebraic fractions by factorising into one bracket U437

Multiplying algebraic fractions U457

Simplifying algebraic fractions by factorising into two brackets U294

Dividing algebraic fractions U824

Writing algebraic proofs U582

Using recurrence relations U171

Substituting into functions U637

Finding composite functions U448

Substituting into composite functions U895

Finding inverse functions U996

Translating graphs U598

Estimating gradients of non-linear graphs using tangents U800

Reflecting graphs U487

Estimating areas under non-linear graphs U882

Transforming graphs U455

Equations of circles and tangents U567

Substituting into iterative formulae U434

Finding approximate solutions to equations using iteration U168