Writing and simplifying ratios U687

Converting between ratios, fractions and percentages U176

Problem solving: Sharing amounts in a given ratio U595

Ordering fractions U746

Converting between mixed numbers and improper fractions U692

Ordering fractions and mixed numbers U439

Multiplying with mixed numbers U224

Dividing with mixed numbers U538

Using equivalent ratios to find unknown amounts U753

Sharing amounts in a given ratio U577

Combining ratios U921

Adding and subtracting fractions U736

Adding and subtracting mixed numbers U793

Multiplying fractions U475

Dividing fractions U544

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

Interpreting equations of straight line graphs U669

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

Equations of parallel and perpendicular lines U898

Interpreting graphs of quadratic functions U667

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

Finding equations of straight line graphs U315

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

Equations of parallel lines U377

Plotting graphs of quadratic functions U989

Sketching quadratic graphs U310

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 substitution U757

Solving simultaneous equations involving quadratics  U547

Solving simultaneous equations using elimination U760

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

Writing probabilities as fractions U408

Probabilities of mutually exclusive events U683

Sample space diagrams U104

Venn diagrams with set notation U748

Frequency trees U280

Tree diagrams for dependent events U729

Using the product rule for counting U369

Conditional probabilities from Venn diagrams U699

Conditional probabilities from tree diagrams U806

Using probability phrases U803

Writing probabilities as fractions, decimals and percentages U510

Expected results from repeated experiments U166

Venn diagrams U476

Using set notation U296

Tree diagrams for independent events U558

Calculating experimental probabilities U580

Conditional probabilities from tables U246

Using the conditional probability formula U821

Reflection U799

Enlargement by a positive scale factor U519

Combining transformations U766

Translation U196

Rotation U696

Enlargement by a positive or negative scale factor U134

Finding error intervals U657

Truncating decimals U108

Identifying parts of circles U767

Finding the area of circles U950

Finding the area of sectors U373

Estimating calculations U225

Finding bounds for calculations U587

Finding error intervals for truncated numbers U301

Finding the circumference of circles U604

Finding the arc length of sectors U221

Equations of circles and tangents U567

Nets of 3D shapes U761

Finding the surface area of cubes and cuboids U929

Finding the surface area of pyramids U871

Finding the surface area of cylinders U464

Finding the surface area of spheres U893

Finding the surface area of frustums U334

Finding the volume of cubes and cuboids U786

Finding the volume of pyramids U484

Finding the volume of cones U116

Mixed problems: volume of cones and spheres U426

Plans and elevations U743

Finding the surface area of prisms U259

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

Finding the surface area of cones U523

Mixed problems: surface area of cones and spheres U771

Finding the surface area of composite shapes U561

Finding the volume of prisms U174

Finding the volume of cylinders U915

Finding the volume of spheres U617

Finding the volume of frustums U350

Calculating with speed U151

Calculating with density U910

Mixed problems: Calculating density and pressure U842

Solving inverse proportion word problems U357

Interpreting direct proportion equations U640

Interpreting inverse proportion equations U364

Calculating with rates U256

Calculating with pressure U527

Solving direct proportion word problems U721

Currency conversion U610

Constructing direct proportion equations U407

Constructing inverse proportion equations U138

Understanding sin, cos and tan U605

Finding unknown angles in right-angled triangles U545

Using the exact values of trigonometric ratios U319

Trigonometry in 3D shapes U170

The cosine rule U591

Understanding congruence U790

Mixed problems: Understanding similarity and congruence U112

Finding unknown sides in similar shapes U578

Finding the surface area and volume of similar shapes U110

Applying Pythagoras' theorem in 2D U828

Finding unknown sides in right-angled triangles U283

Using the exact values of trigonometric ratios U627

Angles of elevation and depression U967

The sine rule U952

The area rule U592

Understanding similarity U551

Congruent triangles U866

Finding the perimeter and area of similar shapes U630

Using Pythagoras' theorem in 2D U385

Using Pythagoras' theorem in 3D U541

Calculating the range U526

Finding the mode U260

Finding averages from frequency tables U569

Finding averages from grouped data U877

Interpreting scatter graphs U277

Drawing stem-and-leaf diagrams U200

Calculating the median U456

Calculating the mean U291

Finding averages from diagrams U854

Choosing suitable averages and solving problems U717

Using lines of best fit U128

Interpreting stem-and-leaf diagrams U909