Formula sheets and quick references

Formula and reference sheets

One-page summaries of formulas, rules and key facts with a worked example each, ready to print.

Mathematics

• Arithmetic · Formula sheet · Kindergarten to Grade 2
• Arithmetic · Formula sheet · Grades 3 to 5
• Geometry · Formula sheet · Grades 6 to 8
• Geometry · Formula sheet · Grades 9 to 10
• Algebra · Formula sheet · Grades 6 to 8
• Algebra · Formula sheet · Grades 9 to 10
• Coordinate geometry · Formula sheet · Grades 6 to 8
• Coordinate geometry · Formula sheet · Grades 9 to 10
• Quadratic equations · Formula sheet · Grades 9 to 10
• Quadratic equations · Formula sheet · Grades 11 to 12
• Sequences & series · Formula sheet · Grades 9 to 10
• Sequences & series · Formula sheet · Grades 11 to 12
• Introductory calculus · Formula sheet · Grades 11 to 12
• Statistics & probability · Formula sheet · Grades 6 to 8
• Statistics & probability · Formula sheet · Grades 9 to 10
• Statistics & probability · Formula sheet · Grades 11 to 12
• Fractions: the essential rules
• Percentages and proportions
• Quadratics: solving and graphing
• Trigonometry: identities and ratios
• Find the mistake: number sense · revision card
• Find the mistake: fractions and percentages · revision card
• Find the mistake: algebra · revision card
• Functions: domains and transformations · revision card
• Calculus: meaning, conditions and checks · revision card
• Probability: what a result does and does not show · revision card
• Geometry: units and dimensions · revision card
• Data tables and fair summaries · revision card
• Fraction, decimal and percent benchmarks
• Units: conversion and dimension checks

Life skills

• Money & planning · Formula sheet · Grades 6 to 8
• Budgets and comparing options · revision card
• Timetables, durations and buffer time · revision card

Science

• Motion & energy · Formula sheet · Grades 7 to 8
• Motion & energy · Formula sheet · Grades 9 to 10
• Motion & energy · Formula sheet · Grades 11 to 12
• Electricity & circuits · Formula sheet · Grades 9 to 10
• Electricity & circuits · Formula sheet · Grades 11 to 12
• Chemistry · Formula sheet · Grades 9 to 10
• Chemistry · Formula sheet · Grades 11 to 12
• Living things and their needs · quick reference
• Cells and cell structures · quick reference
• Ecosystems and interactions · quick reference
• Genetics and inheritance · quick reference
• Matter and changes · quick reference
• Atomic structure and chemical language · quick reference
• Earth systems · quick reference
• Space and the solar system · quick reference
• Motion, forces and energy · quick reference
• Waves and electric circuits · quick reference
• Materials and everyday changes · revision card
• Growing plants: questions and evidence · revision card
• Food webs and ecosystem reasoning · revision card
• Particle models of matter · revision card
• Chemical equations: atom bookkeeping · revision card
• Concentration and dilution: avoid common errors · revision card
• Genetics: models and probability · revision card
• Enzymes and interpreting rate data · revision card
• Designing tests and judging conclusions · revision card
• Motion graphs and force reasoning · revision card
• Circuits: series and parallel reasoning · revision card
• Measurement, units and observations · revision card
• Pushes, pulls and simple machines · revision card

Computer science

• Digital literacy · Formula sheet · Grades 6 to 8
• Digital literacy · Formula sheet · Grades 9 to 10
• Computing foundations · quick reference
• Advanced computing concepts · quick reference
• Algorithms without a computer · revision card
• Python-style code tracing · revision card
• Digital information and responsible use · revision card
• Algorithms & logic · Quick reference 1

Geography

• Maps and geographical features · quick reference
• People and places · quick reference
• Maps, keys and route choices · revision card
• Population data and settlement models · revision card
• Maps & places · Quick reference

History

• Historical thinking and evidence · quick reference
• Societies and historical change · quick reference
• Historical sources: purpose and corroboration · revision card
• Continuity, change and historical explanations · revision card
• Timelines & evidence · Quick reference 1
• Timelines & evidence · Quick reference 2

Reading & writing

• English grammar essentials · quick reference
• Reading and literary analysis · quick reference
• Writing and argument · quick reference
• Subject–verb agreement in context · revision card
• Punctuation and sentence editing · revision card
• Prefixes, suffixes and word meanings · revision card
• Figurative language and precise interpretation · revision card
• Claims, evidence and counterarguments · revision card
• Reading numerical claims critically · revision card
• Nouns, verbs and adjectives in sentences · revision card
• Text structure and main ideas · revision card
• Sounds, words and early sentence sense · revision card
• Reading and source analysis: evidence before certainty

Social studies

• Community and civic reasoning · quick reference
• Shared spaces and fair decisions · revision card
• Economics basics · Quick reference
• Government & citizenship · Quick reference
• Messages & sources · Quick reference

Art & music

• Art and visual language · quick reference
• Music vocabulary · quick reference
• Art and design: observation and choices · revision card
• Rhythm, metre and musical symbols · revision card
• Rhythm & musical structure · Quick reference
• Visual design · Quick reference

Study & wellbeing

• Study strategies and clear thinking · quick reference
• Study plans and checking understanding · revision card
• Planning · Quick reference
• Study · Quick reference

Early learning

• Sorting, positions and simple patterns · revision card

Chemistry

• Aldehydes and ketones · Revision sheet
• General chemistry · Formula reference
• Analytical chemistry · Formula reference 1
• Analytical chemistry · Formula reference 2
• Physical chemistry · Formula reference 1
• Physical chemistry · Formula reference 2
• Organic chemistry · Formula reference 1
• Chemical reactions · Quick reference
• General chemistry · Quick reference

Physics

• Motion & graphs · Formula reference 1
• Motion & graphs · Formula reference 2
• Forces & equilibrium · Formula reference 1
• Momentum & collisions · Formula reference
• Energy, work & power · Formula reference 1
• Thermal physics · Formula reference
• Light & optics · Formula reference
• Electricity & circuits · Formula reference
• Magnetism & induction · Formula reference
• Rotational kinetic energy · formula reference
• Gauss-law electric flux · formula reference
• Magnetism & induction · Quick reference
• Waves & sound · Quick reference
• Forces & equilibrium · Quick reference
• Motion & graphs · Quick reference

Biology

• Cells & microscopy · Formula reference
• Ecology & populations · Formula reference
• Genetics & inheritance · Formula reference
• Living things · Quick reference · Grades 1 to 4
• Genetics & inheritance · Quick reference

Engineering & design

• Linear thermal expansion · formula reference

Language learning

• Grammar & vocabulary · Quick reference

Astronomy & space

• Solar system · Quick reference
• Sky observation · Quick reference