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UPCAT ChemistryMatter, Mixtures & MeasurementCheat Sheet

A printable cheat sheet for Matter, Mixtures & Measurement, built for UPCAT reviewers who want one go-to reference in the final stretch. Covers formulas, key definitions, common question types, and the University of the Philippines-specific twists you will see on UPCAT day.

Exam context

On the UPCAT 2026, the Chemistry subtest carries a "Core" weight in University of the Philippines's pattern. Matter, Mixtures & Measurement lands at position 1st out of 7 in the standard review order. Target score is UPG ≤ 2.2 typical, and roughly 20 items come from Chemistry on a typical UPCAT paper.

Matter, Mixtures & Measurement - Cheat sheet

Your last-minute revision companion for Matter, Mixtures & Measurement - covering all essential concepts, formulas, and definitions for UPCAT and other college entrance exams.

Sections

Section Title

Matter Classification

Important Facts

  • Elements cannot be broken down by chemical means
  • Compounds have fixed ratios of elements
  • Mixtures have variable compositions
  • Pure substances have constant properties throughout

Key Definitions

Term

Matter

Example

Water, air, rocks, living organisms

Definition

Anything that has mass and occupies space (volume)

Term

Pure Substance

Example

Pure water (H₂O), pure gold (Au)

Definition

Matter with definite composition and distinct properties

Term

Element

Example

Hydrogen (H), Carbon (C), Oxygen (O)

Definition

Pure substance composed of the same type of atoms; cannot be broken down chemically

Term

Compound

Example

Water (H₂O), Carbon dioxide (CO₂)

Definition

Pure substance made of two or more different elements chemically combined

Term

Mixture

Example

Salt water, air, concrete

Definition

Combination of two or more substances physically combined; can be separated mechanically

Diagrams To Know

  • Classification tree of matter
  • Particle arrangement in elements vs compounds

Section Title

Types of Mixtures

Important Facts

  • Solutions are transparent and do not scatter light
  • Colloids scatter light (Tyndall Effect) but do not settle
  • Suspensions settle over time and can be filtered
  • Particle size: Solution < Colloid < Suspension

Key Definitions

Term

Homogeneous Mixture

Example

Salt water, air, brass

Definition

Uniform mixture where components are evenly distributed

Term

Heterogeneous Mixture

Example

Oil and water, sand and water

Definition

Non-uniform mixture where components are not evenly distributed

Term

Solution

Example

Sugar in water, vinegar

Definition

Homogeneous mixture where solute dissolves in solvent

Term

Colloid

Example

Milk, mayonnaise, fog

Definition

Mixture with particles too large to dissolve but too small to settle; shows Tyndall Effect

Term

Suspension

Example

Sand in water, muddy water

Definition

Mixture with large particles that settle at the bottom

Term

Tyndall Effect

Example

Light beam through milk or fog

Definition

Scattering of light by colloidal particles

Diagrams To Know

  • Particle size comparison diagram
  • Tyndall Effect demonstration

Section Title

States of Matter

Important Facts

  • All states have definite mass
  • Solids are incompressible and have strong intermolecular forces
  • Liquids are slightly compressible with moderate intermolecular forces
  • Gases are highly compressible with weak intermolecular forces
  • Plasma is the most abundant state in the universe

Key Definitions

Term

Solid

Example

Ice, metals, crystals

Definition

State with definite shape and volume; molecules vibrate in fixed positions

Term

Liquid

Example

Water, oil, mercury

Definition

State with definite volume but indefinite shape; molecules move past each other

Term

Gas

Example

Air, steam, carbon dioxide

Definition

State with indefinite shape and volume; molecules move freely

Term

Plasma

Example

Stars, lightning, neon signs

Definition

Superheated matter containing charged ions and electrons

Diagrams To Know

  • Particle arrangement in different states
  • Phase transition diagram

Common Values

Value

0°C or 273.15 K

Symbol

mp

Quantity

Melting point of ice

Value

100°C or 373.15 K at 1 atm

Symbol

bp

Quantity

Boiling point of water

Section Title

Phase Transitions

Important Facts

  • All phase transitions are physical changes
  • Energy is absorbed during melting, evaporation, and sublimation
  • Energy is released during freezing, condensation, and deposition
  • Phase transitions occur at specific temperatures and pressures

Key Definitions

Term

Melting

Example

Ice melting to water

Definition

Solid to liquid transition

Term

Freezing

Example

Water freezing to ice

Definition

Liquid to solid transition

Term

Evaporation

Example

Water evaporating from a puddle

Definition

Liquid to gas transition at surface

Term

Boiling

Example

Water boiling at 100°C

Definition

Liquid to gas transition throughout the liquid

Term

Condensation

Example

Steam condensing on a cold surface

Definition

Gas to liquid transition

Term

Sublimation

Example

Dry ice subliming to CO₂ gas

Definition

Direct solid to gas transition

Term

Deposition

Example

Frost formation

Definition

Direct gas to solid transition

Diagrams To Know

  • Phase transition diagram with arrows
  • Heating/cooling curve

Section Title

Chemical vs Physical Changes

Important Facts

  • Physical changes are usually reversible
  • Chemical changes often involve energy changes
  • Signs of chemical change: color change, gas production, heat/light emission
  • Mass is conserved in both physical and chemical changes

Key Definitions

Term

Physical Change

Example

Melting ice, cutting paper

Definition

Change in form without altering chemical composition

Term

Chemical Change

Example

Burning wood, rusting iron

Definition

Change where new substances with different properties are formed

Term

Physical Property

Example

Color, density, melting point

Definition

Property observed without changing chemical composition

Term

Chemical Property

Example

Flammability, reactivity with acids

Definition

Property related to ability to undergo chemical reactions

Diagrams To Know

  • Examples of physical vs chemical changes

Section Title

Separation Techniques

Important Facts

  • Choose method based on physical properties of components
  • Filtration works for insoluble solids in liquids
  • Distillation requires significant boiling point differences
  • Chromatography separates based on solubility and molecular size

Key Definitions

Term

Filtration

Example

Separating sand from water

Definition

Separates solids from liquids using filter paper

Term

Distillation

Example

Separating water from salt solution

Definition

Separates liquids based on different boiling points

Term

Decantation

Example

Separating oil from water

Definition

Separates liquids with different densities by pouring off top layer

Term

Chromatography

Example

Separating ink dyes

Definition

Separates components based on different travel speeds through medium

Term

Magnetism

Example

Separating iron filings from sand

Definition

Separates magnetic materials from non-magnetic ones

Diagrams To Know

  • Simple distillation setup
  • Filtration apparatus
  • Chromatography setup

Section Title

Laws of Chemical Combination

Important Facts

  • These laws led to atomic theory development
  • Mass ratios are always constant for pure compounds
  • Laws apply to all chemical reactions and compounds

Key Definitions

Term

Law of Conservation of Mass

Example

Total mass of reactants = Total mass of products

Definition

Mass cannot be created or destroyed in chemical reactions

Term

Law of Definite Composition

Example

Water always contains H and O in 1:8 mass ratio

Definition

Chemical compounds contain elements in fixed mass ratios

Term

Law of Multiple Proportions

Example

CO and CO₂ have C:O ratios of 1:1 and 1:2

Definition

When elements form multiple compounds, mass ratios are simple whole numbers

Formulas

Formula

Density = mass/volume or ρ = m/V

Meaning

ρ = density, m = mass, V = volume

Watch Out

Units must be consistent (g/mL or kg/m³)

When To Use

When calculating density from mass and volume measurements

Common Values

Value

1.00 g/mL or 1000 kg/m³

Symbol

ρ

Quantity

Density of water

Section Title

Measurement and Significant Figures

Important Facts

  • All non-zero digits are significant
  • Zeros between non-zero digits are significant
  • Leading zeros are not significant
  • Trailing zeros after decimal point are significant
  • In calculations, round to least precise measurement

Key Definitions

Term

Significant Figures

Example

12.30 has 4 significant figures

Definition

Digits in a measurement that carry meaningful information

Term

Accuracy

Example

Measuring 9.8 m/s² for gravity (true = 9.81)

Definition

How close a measurement is to the true value

Term

Precision

Example

Three measurements: 9.7, 9.8, 9.7 m/s²

Definition

How close repeated measurements are to each other

Diagrams To Know

  • Accuracy vs precision target diagrams

Must Remember

  • Matter = anything with mass and volume
  • Pure substances have fixed composition; mixtures have variable composition
  • Elements cannot be broken down chemically; compounds can be
  • Homogeneous mixtures are uniform; heterogeneous are not uniform
  • Tyndall Effect distinguishes colloids from solutions
  • Phase transitions are physical changes, not chemical
  • Law of Conservation of Mass: mass is neither created nor destroyed
  • Density = mass/volume (ρ = m/V)
  • Significant figures rules for measurements and calculations
  • Separation methods depend on physical property differences

Last Minute Tips

  • Remember the particle size order: Solution < Colloid < Suspension
  • For phase transitions, energy is absorbed going up (solid→liquid→gas), released going down
  • In density problems, watch your units - convert to match before calculating
  • Tyndall Effect = light scattering = colloid (think of car headlights in fog)
  • Law of Definite Composition means same compound always has same mass ratios everywhere

Comparison Tables

Rows

Values

  • Fixed/Definite
  • Variable

Property

Composition

Values

  • Constant throughout
  • May vary in different parts

Property

Properties

Values

  • Only by chemical means
  • By physical means

Property

Separation

Values

  • H₂O, NaCl, Au
  • Salt water, air, soil

Property

Examples

Columns

  • Property
  • Pure Substance
  • Mixture

Table Title

Pure Substances vs Mixtures

Rows

Values

  • Definite
  • Indefinite
  • Indefinite

Property

Shape

Values

  • Definite
  • Definite
  • Indefinite

Property

Volume

Values

  • Incompressible
  • Slightly compressible
  • Highly compressible

Property

Compressibility

Values

  • Vibration only
  • Move past each other
  • Free movement

Property

Molecular Motion

Columns

  • Property
  • Solid
  • Liquid
  • Gas

Table Title

States of Matter Properties

Rows

Values

  • < 1 nm
  • 1-1000 nm
  • > 1000 nm

Property

Particle Size

Values

  • No
  • Yes
  • Yes

Property

Tyndall Effect

Values

  • No
  • No
  • Yes

Property

Settling

Values

  • Cannot filter
  • Cannot filter
  • Can filter

Property

Filtration

Columns

  • Property
  • Solution
  • Colloid
  • Suspension

Table Title

Solution vs Colloid vs Suspension

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