Državna Matura Geography study materials
Državna Matura Geography study resources

Državna Matura Geography cheat sheet

Državna Matura Geography · Keep the key ideas within reach.

Quick reference

Physical Geography

  • Endogenic processes (tectonics, volcanism, earthquakes) build relief; exogenic processes (weathering, erosion, transport, deposition) destroy it; the balance of uplift and denudation shapes landforms.

  • Fluvial landforms: V-shaped valleys and waterfalls in the upper course, meanders and floodplains in the middle course, deltas and alluvial fans at deposition sites where gradient or current velocity drops.

  • Karst forms by chemical dissolution of limestone: surface features are karst polje, sinkhole (dolina), karst field and blind valley; underground features are caves, pits and stalactites/stalagmites.

  • Glacial landforms: cirque, arête and horn in the accumulation zone; U-shaped valley, hanging valley and moraines in the transport/deposition zone; drumlins and erratics mark former ice flow.

  • Climatic controls: latitude (insolation angle), altitude (lapse rate about 6.5 °C/km), distance from sea (continentality), ocean currents, prevailing winds and relief.

  • Köppen classification letters: A tropical, B dry, C temperate, D continental, E polar; second letter f = no dry season, s = dry summer, w = dry winter, m = monsoon.

  • Hydrology: a drainage basin is bounded by a watershed; regime depends on precipitation, snowmelt, evapotranspiration, geology and land cover; specific runoff = discharge / basin area.

  • Soil profile horizons: O organic litter, A humus-rich topsoil, B illuvial accumulation, C weathered parent material, R bedrock; soil type depends on climate, parent rock, relief, organisms and time.

Quick reference

Human Geography

  • Demographic transition stages: high stationary (high birth and death rates), early expanding, late expanding (death rate falls first), low stationary; natural increase = birth rate − death rate.

  • Population pyramid shapes: expansive (broad base, high fertility), stationary (straight sides), constrictive (narrow base, ageing population); dependency ratio = (0–14 + 65+) / 15–64 × 100.

  • Push factors include poverty, unemployment, conflict and environmental disaster; pull factors include jobs, wages, services and political stability; net migration = immigration − emigration.

  • Settlement hierarchy follows population size and service range: hamlet, village, small town, town, city, metropolis, megalopolis; higher-order centres offer rarer, more specialised services.

  • Urban models: Burgess concentric zones, Hoyt sectors, Harris–Ullman multiple nuclei; CBD is characterised by high land value, accessibility and vertical development.

  • Agriculture types: subsistence (shifting cultivation, pastoral nomadism), commercial (mixed farming, plantation, ranching), intensive (rice paddies, market gardening); von Thünen rings depend on distance and perishability.

  • Industrial location factors: raw materials, energy, water, labour, transport, market and agglomeration; Weber's least-cost location minimises transport plus labour cost.

  • Transport and tourism: nodes–links model; accessibility drives tourism demand; carrying capacity limits sustainable visitor numbers at a destination.

Quick reference

Regional Geography of the World

  • Africa: the Great Rift Valley runs north–south in the east; the Sahara and Kalahari are the main deserts; the Nile and Congo are the largest river systems; climate is symmetric about the Equator.

  • Asia: the Himalayas and Tibetan Plateau form the main watershed; monsoons dominate South and East Asia; the Ganges, Yangtze and Mekong support dense populations.

  • Europe: relief is dominated by the Alps, Pyrenees, Carpathians and the North European Plain; the Rhine, Danube and Volga are key navigable rivers; the Gulf Stream moderates the west coast.

  • North America: the Rocky Mountains, Great Plains, Mississippi–Missouri system, Great Lakes and the St. Lawrence Seaway; climate ranges from arctic to subtropical.

  • South America: the Andes, Amazon Basin, Orinoco and Paraná–Plata systems; the Amazon rainforest is the largest tropical forest; El Niño affects the Pacific coast.

  • Australia and Oceania: the Great Dividing Range, Murray–Darling Basin, Great Artesian Basin and the arid interior; most population is concentrated on the humid east and south-east coasts.

  • Polar regions: Antarctica is a continent covered by ice and governed by the Antarctic Treaty; the Arctic is an ocean surrounded by land with permafrost and tundra.

  • Country profiles: compare population, capital, dominant relief, climate type and main economic sectors; use the correct continent and macroregion for each country.

Quick reference

Geography of Croatia

  • Relief zones: the Pannonian lowland (east), the Dinaric mountain belt (karst, Lika, Gorski kotar) and the Adriatic coast with islands; the Dinaric belt runs NW–SE.

  • Climate: continental climate inland, mountain climate at high altitude, and Mediterranean climate on the coast; the bora (bura) is a cold, gusty NE wind, and the sirocco (jugo) is a warm, humid SE wind.

  • Rivers: the Sava, Drava, Danube and Kupa belong to the Black Sea basin; the Krka, Cetina and Neretva (partly) belong to the Adriatic basin; the Plitvice Lakes are a karst lake system.

  • Croatia has 1,244 islands, islets and rocks; the largest islands are Krk and Cres; the highest peak is Dinara (Sinjal, 1,831 m).

  • Population: about 3.9 million (2021 census); negative natural increase and emigration cause depopulation of rural and eastern areas; Zagreb is the largest city and capital.

  • Economy: services and tourism dominate; shipbuilding, food processing, oil and petrochemicals, and agriculture (Slavonia, Baranja, Srijem) are important; tourism is concentrated on the coast.

  • Regions: Slavonia, Baranja and Srijem (east), central Croatia, Hrvatsko zagorje, Lika and Gorski kotar, Istria, Dalmatia and Dubrovnik littoral; each has distinct relief and economy.

  • Protected areas include Plitvice Lakes, Krka, Paklenica, Risnjak, Northern Velebit and Brijuni national parks; karst poljes and caves are characteristic landforms.

Quick reference

Cartography, GIS and Remote Sensing

  • Map scale = map distance / ground distance; a 1:50,000 map means 1 cm on the map equals 500 m on the ground; large scale shows more detail over a smaller area.

  • Map projections distort shape, area, distance or direction; conformal preserves angles, equal-area preserves area, equidistant preserves distance from a point or line.

  • Topographic map symbols: contour lines connect points of equal elevation; closer contours mean steeper slope; hachures and spot heights supplement elevation data.

  • GIS layers are thematic datasets (relief, roads, land use) referenced to coordinates; overlay, buffer, clip, dissolve and spatial join are core analysis operations.

  • Raster data are grid cells (pixels) suited to continuous surfaces; vector data are points, lines and polygons suited to discrete objects; each has different storage and analysis trade-offs.

  • Remote sensing: passive sensors record reflected solar or emitted energy; active sensors (radar, lidar) emit their own signal; resolution types are spatial, spectral, temporal and radiometric.

  • NDVI = (NIR − Red) / (NIR + Red); values near 1 indicate dense healthy vegetation; values near 0 or negative indicate bare soil, water or built-up surfaces.

  • GPS/GNSS uses satellite signals to determine position; accuracy depends on satellite geometry, atmospheric effects and correction services (e.g. differential GNSS).

Quick reference

Geographical Research Methods, Fieldwork and Data Interpretation

  • Research design: define the problem, formulate a hypothesis, choose methods, collect data, analyse, interpret and report; a hypothesis must be testable against evidence.

  • Sampling: random, systematic and stratified sampling reduce bias; sample size affects reliability; a pilot study tests instruments before the main survey.

  • Fieldwork instruments: clinometer (slope angle), compass (bearing), GPS (location), flow meter (discharge), thermometer and pH meter (water quality), quadrat (vegetation cover).

  • Data types: nominal, ordinal, interval and ratio; choose mean/median/mode and appropriate graphs (bar, line, scatter, histogram) according to data type.

  • Central tendency and dispersion: mean, median and mode describe the centre; range and standard deviation describe spread; correlation describes the strength of a relationship, not causation.

  • Cartographic interpretation: read legend, scale and orientation first; use contour spacing for slope, drainage patterns for lithology, and settlement patterns for human activity.

  • Statistical tests: chi-square for association between categorical variables; Spearman rank correlation for monotonic relationships between ranked data; significance level commonly 0.05.

  • Presenting results: label axes and units, include a title and legend, and state limitations such as sample size, measurement error and seasonal bias.

Quick reference

Environment, Sustainable Development and Globalisation

  • Sustainable development balances economic growth, social equity and environmental protection; the Brundtland definition is development that meets present needs without compromising future generations.

  • Climate change: greenhouse gases (CO2, CH4, N2O, water vapour) trap outgoing long-wave radiation; the enhanced greenhouse effect raises global mean temperature and sea level.

  • Consequences include glacier retreat, ocean acidification, extreme weather, shifting biomes and coastal flooding; mitigation reduces emissions, adaptation reduces vulnerability.

  • Renewable energy sources include solar, wind, hydro, geothermal and biomass; non-renewable sources include coal, oil, gas and nuclear fuel; energy mix reflects resource endowment.

  • Environmental problems: air pollution (particulate matter, acid rain), water pollution (eutrophication, nitrates), soil degradation (erosion, salinisation), deforestation and biodiversity loss.

  • Waste management follows the hierarchy: prevent, reuse, recycle, recover energy, dispose; circular economy closes material loops; protected areas conserve habitats and species.

  • Globalisation: growth of trade, capital, information and labour flows; indicators include trade-to-GDP ratio, FDI and internet penetration; effects include outsourcing and regional inequality.

  • International frameworks: UN Sustainable Development Goals (17 goals), Paris Agreement (limit warming well below 2 °C), Kyoto Protocol and national protected-area networks.

Quick reference

Physical Geography

  • Endogenic processes (tectonics, volcanism, earthquakes) build relief; exogenic processes (weathering, erosion, transport, deposition) destroy it; the balance of uplift and denudation shapes landforms.

  • Fluvial landforms: V-shaped valleys and waterfalls in the upper course, meanders and floodplains in the middle course, deltas and alluvial fans at deposition sites where gradient or current velocity drops.

  • Karst forms by chemical dissolution of limestone: surface features are karst polje, sinkhole (dolina), karst field and blind valley; underground features are caves, pits and stalactites/stalagmites.

  • Glacial landforms: cirque, arête and horn in the accumulation zone; U-shaped valley, hanging valley and moraines in the transport/deposition zone; drumlins and erratics mark former ice flow.

  • Climatic controls: latitude (insolation angle), altitude (lapse rate about 6.5 °C/km), distance from sea (continentality), ocean currents, prevailing winds and relief.

  • Köppen classification letters: A tropical, B dry, C temperate, D continental, E polar; second letter f = no dry season, s = dry summer, w = dry winter, m = monsoon.

  • Hydrology: a drainage basin is bounded by a watershed; regime depends on precipitation, snowmelt, evapotranspiration, geology and land cover; specific runoff = discharge / basin area.

  • Soil profile horizons: O organic litter, A humus-rich topsoil, B illuvial accumulation, C weathered parent material, R bedrock; soil type depends on climate, parent rock, relief, organisms and time.

Quick reference

Human Geography

  • Demographic transition stages: high stationary (high birth and death rates), early expanding, late expanding (death rate falls first), low stationary; natural increase = birth rate − death rate.

  • Population pyramid shapes: expansive (broad base, high fertility), stationary (straight sides), constrictive (narrow base, ageing population); dependency ratio = (0–14 + 65+) / 15–64 × 100.

  • Push factors include poverty, unemployment, conflict and environmental disaster; pull factors include jobs, wages, services and political stability; net migration = immigration − emigration.

  • Settlement hierarchy follows population size and service range: hamlet, village, small town, town, city, metropolis, megalopolis; higher-order centres offer rarer, more specialised services.

  • Urban models: Burgess concentric zones, Hoyt sectors, Harris–Ullman multiple nuclei; CBD is characterised by high land value, accessibility and vertical development.

  • Agriculture types: subsistence (shifting cultivation, pastoral nomadism), commercial (mixed farming, plantation, ranching), intensive (rice paddies, market gardening); von Thünen rings depend on distance and perishability.

  • Industrial location factors: raw materials, energy, water, labour, transport, market and agglomeration; Weber's least-cost location minimises transport plus labour cost.

  • Transport and tourism: nodes–links model; accessibility drives tourism demand; carrying capacity limits sustainable visitor numbers at a destination.

Quick reference

Regional Geography of the World

  • Africa: the Great Rift Valley runs north–south in the east; the Sahara and Kalahari are the main deserts; the Nile and Congo are the largest river systems; climate is symmetric about the Equator.

  • Asia: the Himalayas and Tibetan Plateau form the main watershed; monsoons dominate South and East Asia; the Ganges, Yangtze and Mekong support dense populations.

  • Europe: relief is dominated by the Alps, Pyrenees, Carpathians and North European Plain; the Rhine, Danube and Volga are key navigable rivers; the Gulf Stream moderates the west coast.

  • North America: the Rocky Mountains, Great Plains, Mississippi–Missouri system, Great Lakes and the St. Lawrence Seaway; climate ranges from arctic to subtropical.

  • South America: the Andes, Amazon Basin, Orinoco and Paraná–Plata systems; the Amazon rainforest is the largest tropical forest; El Niño affects the Pacific coast.

  • Australia and Oceania: the Great Dividing Range, Murray–Darling Basin, Great Artesian Basin and the arid interior; most population is concentrated on the humid east and south-east coasts.

  • Polar regions: Antarctica is a continent covered by ice and governed by the Antarctic Treaty; the Arctic is an ocean surrounded by land with permafrost and tundra.

  • Country profiles: compare population, capital, dominant relief, climate type and main economic sectors; use the correct continent and macroregion for each country.

Quick reference

Geography of Croatia

  • Relief zones: the Pannonian lowland (east), the Dinaric mountain belt (karst, Lika, Gorski kotar) and the Adriatic coast with islands; the Dinaric belt runs NW–SE.

  • Climate: continental climate inland, mountain climate at high altitude, and Mediterranean climate on the coast; the bora (bura) is a cold, gusty NE wind, and the sirocco (jugo) is a warm, humid SE wind.

  • Rivers: the Sava, Drava, Danube and Kupa belong to the Black Sea basin; the Krka, Cetina and Neretva (partly) belong to the Adriatic basin; the Plitvice Lakes are a karst lake system.

  • Croatia has 1,244 islands, islets and rocks; the largest islands are Krk and Cres; the highest peak is Dinara (Sinjal, 1,831 m).

  • Population: about 3.9 million (2021 census); negative natural increase and emigration cause depopulation of rural and eastern areas; Zagreb is the largest city and capital.

  • Economy: services and tourism dominate; shipbuilding, food processing, oil and petrochemicals, and agriculture (Slavonia, Baranja, Srijem) are important; tourism is concentrated on the coast.

  • Regions: Slavonia, Baranja and Srijem (east), central Croatia, Hrvatsko zagorje, Lika and Gorski kotar, Istria, Dalmatia and Dubrovnik littoral; each has distinct relief and economy.

  • Protected areas include Plitvice Lakes, Krka, Paklenica, Risnjak, Northern Velebit and Brijuni national parks; karst poljes and caves are characteristic landforms.

Quick reference

Cartography, GIS and Remote Sensing

  • Map scale = map distance / ground distance; a 1:50,000 map means 1 cm on the map equals 500 m on the ground; large scale shows more detail over a smaller area.

  • Map projections distort shape, area, distance or direction; conformal preserves angles, equal-area preserves area, equidistant preserves distance from a point or line.

  • Topographic map symbols: contour lines connect points of equal elevation; closer contours mean steeper slope; hachures and spot heights supplement elevation data.

  • GIS layers are thematic datasets (relief, roads, land use) referenced to coordinates; overlay, buffer, clip, dissolve and spatial join are core analysis operations.

  • Raster data are grid cells (pixels) suited to continuous surfaces; vector data are points, lines and polygons suited to discrete objects; each has different storage and analysis trade-offs.

  • Remote sensing: passive sensors record reflected solar or emitted energy; active sensors (radar, lidar) emit their own signal; resolution types are spatial, spectral, temporal and radiometric.

  • NDVI = (NIR − Red) / (NIR + Red); values near 1 indicate dense healthy vegetation; values near 0 or negative indicate bare soil, water or built-up surfaces.

  • GPS/GNSS uses satellite signals to determine position; accuracy depends on satellite geometry, atmospheric effects and correction services (e.g. differential GNSS).

Quick reference

Geographical Research Methods, Fieldwork and Data Interpretation

  • Research design: define the problem, formulate a hypothesis, choose methods, collect data, analyse, interpret and report; a hypothesis must be testable against evidence.

  • Sampling: random, systematic and stratified sampling reduce bias; sample size affects reliability; a pilot study tests instruments before the main survey.

  • Fieldwork instruments: clinometer (slope angle), compass (bearing), GPS (location), flow meter (discharge), thermometer and pH meter (water quality), quadrat (vegetation cover).

  • Data types: nominal, ordinal, interval and ratio; choose mean/median/mode and appropriate graphs (bar, line, scatter, histogram) according to data type.

  • Central tendency and dispersion: mean, median and mode describe the centre; range and standard deviation describe spread; correlation describes the strength of a relationship, not causation.

  • Cartographic interpretation: read legend, scale and orientation first; use contour spacing for slope, drainage patterns for lithology, and settlement patterns for human activity.

  • Statistical tests: chi-square for association between categorical variables; Spearman rank correlation for monotonic relationships between ranked data; significance level commonly 0.05.

  • Presenting results: label axes and units, include a title and legend, and state limitations such as sample size, measurement error and seasonal bias.

Quick reference

Environment, Sustainable Development and Globalisation

  • Sustainable development balances economic growth, social equity and environmental protection; the Brundtland definition is development that meets present needs without compromising future generations.

  • Climate change: greenhouse gases (CO2, CH4, N2O, water vapour) trap outgoing long-wave radiation; the enhanced greenhouse effect raises global mean temperature and sea level.

  • Consequences include glacier retreat, ocean acidification, extreme weather, shifting biomes and coastal flooding; mitigation reduces emissions, adaptation reduces vulnerability.

  • Renewable energy sources include solar, wind, hydro, geothermal and biomass; non-renewable sources include coal, oil, gas and nuclear fuel; energy mix reflects resource endowment.

  • Environmental problems: air pollution (particulate matter, acid rain), water pollution (eutrophication, nitrates), soil degradation (erosion, salinisation), deforestation and biodiversity loss.

  • Waste management follows the hierarchy: prevent, reuse, recycle, recover energy, dispose; circular economy closes material loops; protected areas conserve habitats and species.

  • Globalisation: growth of trade, capital, information and labour flows; indicators include trade-to-GDP ratio, FDI and internet penetration; effects include outsourcing and regional inequality.

  • International frameworks: UN Sustainable Development Goals (17 goals), Paris Agreement (limit warming well below 2 °C), Kyoto Protocol and national protected-area networks.