PrepYodhaClass Notes · Chemistry
Chemistry · Chapter 01

Matter: States & Classification

Matter is anything that occupies space and has mass, and everything around us — from the air we breathe to the rocks underfoot — is a form of matter. These notes move from the definition of matter and its states, through the changes of state and the chemical classification of matter, to atoms and molecules and the techniques used to separate mixtures.

🧊 17 topics🎯 158+ points📝 self-test
🧊
Topic 01

What is Matter?

📄
HANDWRITTEN PDF NOTES
Matter: States & Classification — downloadable PDF
Open PDF ↗Download

Matter is the physical substance of the universe, defined by two simple tests — does it take up room, and does it weigh something.

Key Point
Matter is anything that occupies space and has mass.
  • Matter is made up of tiny particles called atoms and molecules.
  • The particles of matter have spaces between them and are in constant motion.
  • The particles attract one another with a force called the force of attraction (cohesion).
  • Matter can be classified physically (by state) and chemically (by composition).
📝 Quick self-test 2 MCQs · 2 fill-ups

Matter is defined as anything that:

  1. Has colour and taste
  2. Occupies space and has mass
  3. Can be seen
  4. Conducts electricity
B. Occupies space and has mass — Matter is anything that occupies space and has mass.

Matter is made up of tiny particles called:

  1. Cells
  2. Atoms and molecules
  3. Ions only
  4. Compounds
B. Atoms and molecules — Matter is made up of tiny particles called atoms and molecules.

The particles of matter have spaces between them and are in constant .

✔ motion

The particles of matter attract one another with a force of .

✔ attraction
🧊
Topic 02

States of Matter

Matter exists in different states depending on how strongly its particles are held together and how freely they move; the three common states are solid, liquid and gas, with plasma and Bose–Einstein condensate as two extra states.

Key Point
Solid, liquid and gas are the three common states of matter.
  • Plasma and Bose–Einstein condensate (BEC) are the fourth and fifth states of matter.
  • The state of a substance depends on temperature and pressure.
  • Inter-particle force is strongest in solids and weakest in gases.
The five states compared
PropertySolidLiquidGasPlasmaBEC
Shapedefinite shapeno fixed shapeno fixed shapeno fixed shapeno fixed shape
Volumedefinite volumedefinite volumeno definite volumeno definite volumedefinite (tiny) volume
Particle spacingvery closeclosefar apartfar apart (ionised)overlapping
Force of attractionstrongestmoderateweakestweakquantum-coherent
Compressibilityalmost incompressiblenearly incompressiblehighly compressiblecompressible
Fluidity / flowdoes not flowflowsflows & diffusesflowsflows (superfluid-like)
📝 Quick self-test 2 MCQs · 2 fill-ups

Plasma and Bose–Einstein condensate are the:

  1. First and second states
  2. Third and fourth states
  3. Fourth and fifth states
  4. Only two states
C. Fourth and fifth states — Plasma and BEC are the fourth and fifth states of matter.

The inter-particle force of attraction is strongest in:

  1. Gases
  2. Liquids
  3. Solids
  4. Plasma
C. Solids — Inter-particle force is strongest in solids and weakest in gases.

The three common states of matter are solid, liquid and .

✔ gas

The state of a substance depends on temperature and .

✔ pressure
📘
Topic 03

Solids

In a solid the particles are packed tightly in a fixed pattern and can only vibrate about fixed positions, which gives a solid its rigidity.

Key Point
Solids have a definite shape and a definite volume.
  • The particles are packed very closely in a regular arrangement.
  • Solids are rigid and almost incompressible.
  • The particles can only vibrate about their fixed mean positions.
  • The force of attraction between particles is the strongest in solids.
  • Examples: ice, iron, wood, stone, salt and sugar.
📝 Quick self-test 2 MCQs · 2 fill-ups

Solids have:

  1. No fixed shape or volume
  2. A definite shape and a definite volume
  3. A definite shape but no volume
  4. A definite volume but no shape
B. A definite shape and a definite volume — Solids have a definite shape and a definite volume.

In a solid, the particles can only:

  1. Move freely at high speed
  2. Slide past one another
  3. Vibrate about fixed positions
  4. Escape the container
C. Vibrate about fixed positions — In a solid the particles can only vibrate about their fixed mean positions.

Solids are rigid and almost .

✔ incompressible

The force of attraction between particles is the in solids.

✔ strongest
📘
Topic 04

Liquids

A liquid keeps its volume but takes the shape of its container, because its particles are close but free to slide past one another.

Key Point
Liquids have a definite volume but no definite shape.
  • A liquid takes the shape of the container it is poured into.
  • The particles are close together but can move and slide past one another.
  • Liquids can flow and are only slightly compressible.
  • Liquids diffuse more slowly than gases.
  • Examples: water, milk, oil, mercury and alcohol.
📝 Quick self-test 2 MCQs · 2 fill-ups

Liquids have:

  1. A definite volume but no definite shape
  2. A definite shape but no volume
  3. Neither shape nor volume
  4. Both fixed shape and volume
A. A definite volume but no definite shape — Liquids have a definite volume but no definite shape.

Which is an example of a liquid?

  1. Ice
  2. Iron
  3. Mercury
  4. Oxygen
C. Mercury — Mercury is a liquid (also water, milk, oil, alcohol).

A liquid takes the shape of the it is poured into.

✔ container

Liquids diffuse more than gases.

✔ slowly
💨
Topic 05

Gases

In a gas the particles are far apart and move freely at high speed, so a gas fills whatever space it is given and can be squeezed easily.

Key Point
Gases have neither a definite shape nor a definite volume.
  • A gas fills the entire container available to it.
  • The particles are far apart and move randomly at high speed.
  • Gases are highly compressible and have the lowest density.
  • The force of attraction between particles is the weakest in gases.
  • Gases diffuse rapidly and exert pressure on the walls of the container.
  • Examples: oxygen, hydrogen, carbon dioxide, air and nitrogen.
📝 Quick self-test 2 MCQs · 2 fill-ups

Gases have:

  1. A definite shape only
  2. A definite volume only
  3. Neither a definite shape nor volume
  4. Both fixed shape and volume
C. Neither a definite shape nor volume — Gases have neither a definite shape nor a definite volume.

Compared with solids and liquids, gases are:

  1. Incompressible
  2. Highly compressible
  3. The densest
  4. Rigid
B. Highly compressible — Gases are highly compressible and have the lowest density.

A gas fills the entire available to it.

✔ container

The force of attraction between particles is the in gases.

✔ weakest
📘
Topic 06

Plasma & Bose–Einstein Condensate

Beyond the three common states lie two extreme states — plasma, formed at very high temperatures, and BEC, formed at temperatures near absolute zero.

Key Point
Plasma is a hot, ionised gas made of free electrons and positive ions.
Plasma (fourth state)
  • Plasma is formed at very high temperatures or in strong electric fields.
  • Plasma is electrically conducting and is affected by magnetic fields.
  • Plasma is the most abundant state of matter in the universe — stars and the Sun are made of plasma.
  • Everyday examples: fluorescent tubes, neon signs and lightning.
Bose–Einstein Condensate (fifth state)
  • BEC forms at temperatures very near absolute zero (0 K).
  • It was predicted by Satyendra Nath Bose and Albert Einstein.
  • BEC was first produced in 1995 by Cornell, Wieman and Ketterle (who won the 2001 Nobel Prize).
  • In a BEC the atoms lose their individual identity and behave as a single quantum entity.
📝 Quick self-test 2 MCQs · 2 fill-ups

Plasma is:

  1. A cold solid
  2. A hot, ionised gas
  3. A liquid near 0 K
  4. A pure element
B. A hot, ionised gas — Plasma is a hot, ionised gas of free electrons and positive ions.

Bose–Einstein condensate forms at temperatures very near:

  1. 100°C
  2. Absolute zero (0 K)
  3. Room temperature
  4. 1000°C
B. Absolute zero (0 K) — BEC forms at temperatures very near absolute zero (0 K).

Plasma is the most abundant state of matter in the .

✔ universe

BEC was predicted by Satyendra Nath Bose and Albert .

✔ Einstein
📘
Topic 07

Changes of State (Interconversion)

Matter can be changed from one state to another by changing the temperature or pressure; each named change describes one specific transition between solid, liquid and gas.

Key Point
Changes of state are physical changes — no new substance is formed.
  • Heating usually moves matter from solid → liquid → gas; cooling reverses it.
  • During a change of state the temperature stays constant while latent heat is absorbed or released.
The seven changes of state
ChangeTransitionDefinition
Melting (fusion)solid → liquida solid changes to a liquid on heating at its melting point
Freezing (solidification)liquid → solida liquid changes to a solid on cooling at its freezing point
Boiling (vaporisation)liquid → gasa liquid changes to gas throughout its bulk at its boiling point
Evaporationliquid → gasa liquid changes to gas only at its surface, below boiling point
Condensation (liquefaction)gas → liquida gas changes to a liquid on cooling
Sublimationsolid → gas directlya solid changes straight to gas without becoming liquid
Depositiongas → solid directlya gas changes straight to solid without becoming liquid
📝 Quick self-test 2 MCQs · 2 fill-ups

The direct change of a solid into a gas is called:

  1. Melting
  2. Condensation
  3. Sublimation
  4. Deposition
C. Sublimation — Sublimation is the direct change of a solid to a gas.

The change of a gas into a liquid on cooling is called:

  1. Freezing
  2. Condensation
  3. Sublimation
  4. Evaporation
B. Condensation — Condensation (liquefaction) is the change of a gas to a liquid on cooling.

Changes of state are changes, since no new substance is formed.

✔ physical

Deposition is the direct change of a gas into a .

✔ solid
📘
Topic 08

Melting, Boiling, Freezing

The fixed temperatures at which a pure substance changes state are characteristic of that substance and are key exam values for water.

Key Point
Melting point is the temperature at which a solid turns into a liquid.
  • Boiling point is the temperature at which a liquid turns into a gas throughout its bulk.
  • For water: melting/freezing point = 0°C and boiling point = 100°C (at normal pressure).
  • Freezing point and melting point of a pure substance are the same temperature.
  • Latent heat is the heat absorbed or released during a change of state at constant temperature.
📝 Quick self-test 2 MCQs · 2 fill-ups

The boiling point of water at normal pressure is:

  1. 0°C
  2. 50°C
  3. 100°C
  4. 212°C
C. 100°C — The boiling point of water is 100°C at normal pressure.

For a pure substance, the freezing point and melting point are:

  1. The same
  2. Always different
  3. Zero
  4. Unrelated
A. The same — Freezing point and melting point of a pure substance are the same temperature.

The melting/freezing point of water is °C.

✔ 0

heat is the heat absorbed or released during a change of state at constant temperature.

✔ Latent
📘
Topic 09

Evaporation vs Boiling

Both evaporation and boiling turn a liquid into vapour, but they differ in where it happens and at what temperature — a common exam comparison.

Key Point
Evaporation is a surface phenomenon; boiling occurs throughout the liquid.
FeatureEvaporationBoiling
Where it occursonly at the surface of the liquidthroughout the bulk of the liquid
Temperatureat any temperature below boiling pointonly at the boiling point
Speedslow and quietrapid with bubbles
Energy sourcefrom the surroundingsfrom continuous external heating
  • Evaporation causes cooling because the fastest molecules escape and leave the liquid cooler.
  • Evaporation increases with higher temperature, larger surface area, lower humidity and more wind.
📝 Quick self-test 2 MCQs · 2 fill-ups

Evaporation occurs:

  1. Throughout the bulk of the liquid
  2. Only at the surface
  3. Only at the boiling point
  4. Only in gases
B. Only at the surface — Evaporation is a surface phenomenon; boiling occurs throughout the bulk.

Evaporation causes:

  1. Heating
  2. Cooling
  3. No temperature change
  4. Freezing
B. Cooling — Evaporation causes cooling because the fastest molecules escape.

Boiling occurs only at the point, while evaporation occurs at any temperature.

✔ boiling

Evaporation increases with higher temperature, larger surface area, lower humidity and more .

✔ wind
🌫️
Topic 10

Sublimation, Condensation, Deposition

Some substances bypass the liquid state entirely, while gases can return to liquid or solid form on cooling.

Key Point
Sublimation is the direct change of a solid into a gas without passing through the liquid state.
  • Sublimation examples: camphor, naphthalene (mothballs), iodine, dry ice (solid CO₂) and ammonium chloride.
  • Deposition is the direct change of a gas into a solid (the reverse of sublimation).
  • Formation of frost on a cold surface is an example of deposition.
  • Condensation is the change of a gas (vapour) into a liquid on cooling.
  • Dew and the fogging of a cold mirror are examples of condensation.
📝 Quick self-test 2 MCQs · 2 fill-ups

Which substance sublimes (solid directly to gas)?

  1. Water
  2. Camphor
  3. Iron
  4. Salt
B. Camphor — Camphor, naphthalene, iodine and dry ice sublime.

The formation of frost on a cold surface is an example of:

  1. Sublimation
  2. Deposition
  3. Condensation
  4. Evaporation
B. Deposition — Frost formation is deposition — gas directly to solid.

Dew and the fogging of a cold mirror are examples of .

✔ condensation

Deposition is the reverse of .

✔ sublimation
🧊
Topic 11

Classification of Matter (Chemical)

Chemically, matter is divided into pure substances and mixtures; pure substances have a fixed composition, while mixtures are physical combinations in any proportion.

Key Point
Matter is chemically classified into pure substances and mixtures.
  • A pure substance has a fixed composition throughout.
  • Pure substances are of two types — elements and compounds.
  • Mixtures are of two types — homogeneous and heterogeneous.
  • Pure substances cannot be separated by physical methods; mixtures can be.
The classification tree
  • Matter → Pure Substances (Elements, Compounds) and Mixtures (Homogeneous, Heterogeneous).
📝 Quick self-test 2 MCQs · 2 fill-ups

Matter is chemically classified into pure substances and:

  1. Elements
  2. Mixtures
  3. Compounds
  4. Ions
B. Mixtures — Matter is chemically classified into pure substances and mixtures.

Pure substances are of two types:

  1. Homogeneous and heterogeneous
  2. Elements and compounds
  3. Metals and non-metals
  4. Solids and liquids
B. Elements and compounds — Pure substances are of two types — elements and compounds.

A pure substance has a fixed throughout.

✔ composition

Pure substances cannot be separated by methods; mixtures can be.

✔ physical
🧪
Topic 12

Pure Substances — Elements & Compounds

A pure substance is made of only one kind of particle; it is either an element, made of one kind of atom, or a compound, made of atoms chemically combined.

Key Point
An element is made of only one kind of atom.
Elements
  • An element cannot be broken down into simpler substances by chemical means.
  • There are about 118 known elements in the periodic table.
  • Examples: hydrogen, oxygen, gold, iron, carbon and copper.
Compounds
  • A compound is formed when two or more elements combine chemically in a fixed ratio.
  • A compound has a fixed ratio of elements by mass.
  • A compound has properties different from its constituent elements.
  • A compound can be split into elements only by chemical methods, not physical ones.
  • Examples: water (H₂O), carbon dioxide (CO₂), common salt (NaCl) and sugar.
📝 Quick self-test 2 MCQs · 2 fill-ups

An element is made of:

  1. Two kinds of atoms
  2. Only one kind of atom
  3. Molecules of compounds
  4. Ions only
B. Only one kind of atom — An element is made of only one kind of atom.

A compound has properties that are:

  1. Same as its elements
  2. Different from its constituent elements
  3. Always metallic
  4. Always gaseous
B. Different from its constituent elements — A compound has properties different from its constituent elements.

There are about known elements in the periodic table.

✔ 118

A compound is formed when two or more elements combine in a fixed ratio.

✔ chemically
🧊
Topic 13

Mixtures — Homogeneous & Heterogeneous

A mixture contains two or more substances physically mixed in any proportion, keeping their own properties; it is uniform (homogeneous) or non-uniform (heterogeneous).

Key Point
A mixture is a physical combination of two or more substances in any ratio.
  • The components of a mixture keep their own properties.
  • Mixtures can be separated by physical methods.
Homogeneous mixtures
  • A homogeneous mixture has a uniform composition throughout with no visible boundaries.
  • Solutions are homogeneous mixtures.
  • Examples: salt water, sugar solution, air, and brass (alloy).
Heterogeneous mixtures
  • A heterogeneous mixture has a non-uniform composition with visible separate parts.
  • Examples: sand and water, oil and water, a mixture of sand and iron filings.
📝 Quick self-test 2 MCQs · 2 fill-ups

A homogeneous mixture has:

  1. A non-uniform composition
  2. A uniform composition throughout
  3. Visible separate parts
  4. A fixed ratio like a compound
B. A uniform composition throughout — A homogeneous mixture has a uniform composition throughout.

Which is an example of a heterogeneous mixture?

  1. Salt water
  2. Air
  3. Brass
  4. Sand and water
D. Sand and water — Sand and water is a heterogeneous mixture with visible separate parts.

Solutions are mixtures.

✔ homogeneous

The components of a mixture keep their own .

✔ properties
🧪
Topic 14

Mixture vs Compound

Telling a mixture apart from a compound is a frequent exam question; the difference lies in how the components combine and whether the composition is fixed.

FeatureMixtureCompound
Formationphysical combinationchemical combination
Compositionno fixed ratio (any proportion)fixed ratio of elements
Propertiescomponents keep their own propertiesnew properties, different from elements
Separationseparated by physical methodsseparated only by chemical methods
Energy changeusually no energy changeheat/light is usually absorbed or released
Exampleair, salt water, brasswater (H₂O), salt (NaCl)
📝 Quick self-test 2 MCQs · 2 fill-ups

A compound is formed by a chemical combination, whereas a mixture is formed by a:

  1. Nuclear reaction
  2. Physical combination
  3. Radioactive decay
  4. Chemical combination
B. Physical combination — A mixture is a physical combination; a compound is a chemical combination.

A compound has a fixed ratio of elements, while a mixture has:

  1. A fixed ratio too
  2. No fixed ratio (any proportion)
  3. No elements
  4. Only metals
B. No fixed ratio (any proportion) — A mixture has no fixed ratio; a compound has a fixed ratio.

A compound can be separated only by methods.

✔ chemical

In forming a compound, heat or light is usually absorbed or .

✔ released
🔩
Topic 15

Types of Elements — Metals, Non-metals, Metalloids

Elements are grouped by their properties into metals, non-metals and metalloids, which sit between the two with mixed character.

Key Point
Elements are classified as metals, non-metals and metalloids.
  • Most elements are metals.
Metals
  • Metals are lustrous, malleable, ductile and good conductors of heat and electricity.
  • Metals are usually solid at room temperature — except mercury, which is a liquid metal.
  • Examples: iron, copper, gold, aluminium, silver.
Non-metals
  • Non-metals are dull, brittle and poor conductors of heat and electricity (except graphite).
  • Non-metals exist as solids, liquids or gases.
  • Examples: oxygen, hydrogen, carbon, sulphur, nitrogen (bromine is a liquid non-metal).
Metalloids
  • Metalloids show properties of both metals and non-metals.
  • Examples: silicon, boron, germanium, arsenic, antimony.
  • Silicon and germanium are used as semiconductors.
📝 Quick self-test 2 MCQs · 2 fill-ups

Which element is a liquid metal at room temperature?

  1. Iron
  2. Mercury
  3. Copper
  4. Gold
B. Mercury — Mercury is a liquid metal at room temperature.

Silicon and germanium are used as:

  1. Insulators
  2. Semiconductors
  3. Fuels
  4. Fertilisers
B. Semiconductors — Silicon and germanium (metalloids) are used as semiconductors.

Metals are lustrous, malleable, ductile and good of heat and electricity.

✔ conductors

show properties of both metals and non-metals, e.g. silicon and boron.

✔ Metalloids
⚛️
Topic 16

Atom vs Molecule

The atom is the smallest unit of an element, while a molecule is the smallest unit of a substance that can exist freely — a basic distinction tested in exams.

Key Point
An atom is the smallest particle of an element that takes part in a chemical reaction.
  • A molecule is the smallest particle of a substance that can exist independently.
  • A molecule is formed when two or more atoms combine.
  • The term atom was coined by John Dalton; the word means "indivisible".
FeatureAtomMolecule
Definitionsmallest unit of an elementsmallest unit able to exist freely
Independent existenceusually cannot exist alonecan exist independently
Made ofprotons, neutrons, electronstwo or more atoms joined
ExampleH, O, NaH₂, O₂, H₂O, CO₂
  • A molecule of an element has the same kind of atoms (e.g. O₂).
  • A molecule of a compound has different kinds of atoms (e.g. H₂O).
📝 Quick self-test 2 MCQs · 2 fill-ups

The smallest particle of a substance that can exist independently is a:

  1. Atom
  2. Molecule
  3. Proton
  4. Ion
B. Molecule — A molecule is the smallest particle of a substance that can exist independently.

A molecule of a compound contains:

  1. The same kind of atoms
  2. Different kinds of atoms
  3. No atoms
  4. Only protons
B. Different kinds of atoms — A molecule of a compound has different kinds of atoms, e.g. H₂O.

The term atom was coined by John .

✔ Dalton

A molecule of an element has the same kind of atoms, e.g. .

✔ O₂
⚗️
Topic 17

Separation Techniques

The components of a mixture are separated by physical methods chosen according to differences in their properties — size, boiling point, magnetism, density or solubility.

Key Point
The method of separation depends on the difference in properties of the components.
  • Filtration separates by particle size; distillation by boiling point; magnetic separation by magnetism.
Technique and what it separates
TechniqueSeparatesBased on
Filtrationinsoluble solid from a liquid (sand from water)difference in particle size
Evaporationdissolved soluble solid from a liquid (salt from salt water)the liquid evaporates, solid is left behind
Distillationa soluble solid's solvent, or two miscible liquidsdifference in boiling points, by boiling then condensing
Fractional distillationtwo or more miscible liquids with close boiling points (petroleum, air)small differences in boiling points
Sublimationa sublimable solid from a non-sublimable one (camphor from salt)one component sublimes on heating
Chromatographydissolved coloured components of a mixture (dyes in ink)different rates of movement on an absorbing medium
Centrifugationsuspended particles from a liquid (cream from milk, blood)difference in density, using fast spinning
Magnetic separationa magnetic solid from a non-magnetic one (iron filings from sulphur)one component is attracted by a magnet
  • Filtration separates an insoluble solid from a liquid using filter paper.
  • Evaporation recovers a dissolved solid by driving off the liquid.
  • Distillation separates miscible liquids by their difference in boiling points — the liquid is boiled to vapour and then condensed back.
  • Fractional distillation separates miscible liquids with close boiling points, as in refining petroleum and separating air's gases.
  • Chromatography separates the components of a mixture by their different speeds through an absorbing medium.
  • Centrifugation separates denser particles by spinning the mixture at high speed.
📝 Quick self-test 2 MCQs · 2 fill-ups

Which technique separates an insoluble solid from a liquid?

  1. Distillation
  2. Filtration
  3. Chromatography
  4. Centrifugation
B. Filtration — Filtration separates an insoluble solid from a liquid by particle size.

Which technique separates two miscible liquids with close boiling points, as in petroleum refining?

  1. Simple distillation
  2. Fractional distillation
  3. Evaporation
  4. Magnetic separation
B. Fractional distillation — Fractional distillation separates miscible liquids with close boiling points.

separates the coloured components of a mixture by their different rates of movement.

✔ Chromatography

Centrifugation separates denser particles by the mixture at high speed.

✔ spinning
🎯
Recap

Quick Revision

Key Point
Matter occupies space and has mass, and is made of tiny moving particles.
  • Three common states: solid, liquid, gas; plus plasma (4th) and Bose–Einstein condensate (5th).
  • Solids have fixed shape and volume; liquids fixed volume only; gases neither.
  • Inter-particle force is strongest in solids and weakest in gases.
  • Plasma is the most abundant state in the universe (stars, the Sun); BEC forms near 0 K.
  • Melting = solid→liquid, freezing = liquid→solid, boiling/evaporation = liquid→gas, condensation = gas→liquid.
  • Sublimation = solid→gas directly; deposition = gas→solid directly (camphor, naphthalene, dry ice sublime).
  • For water, freezing/melting = 0°C and boiling = 100°C.
  • Evaporation is a surface phenomenon at any temperature and causes cooling; boiling occurs throughout at the boiling point.
  • Matter → pure substances (elements, compounds) and mixtures (homogeneous, heterogeneous).
  • A compound has a fixed ratio of elements and new properties; a mixture has any ratio and keeps its components' properties.
  • Elements are metals, non-metals or metalloids; mercury is a liquid metal, silicon is a metalloid semiconductor.
  • An atom is the smallest unit of an element; a molecule can exist freely (H₂, H₂O).
  • Filtration → size; distillation → boiling point; chromatography → solubility/movement; magnetic separation → magnetism; centrifugation → density.
  • Distillation separates miscible liquids by boiling point; fractional distillation when their boiling points are close.

Test Yourself

Take 5 questions at a time — tap an option to check. After each round, revise the notes above and take the retest for 5 fresh questions, until you've mastered the whole chapter.