North Macedonia State Vocational Matura (Државна стручна матура)

In standard Macedonian orthography, what is the default position of stress (акцент) in polysyllabic words?

• AOn the third syllable from the end (antepenultimate)
• BOn the second syllable from the end (penultimate)
• COn the final syllable (ultimate)
• DOn the initial syllable regardless of word length

Which of the following documents is the most appropriate formal written communication for requesting information or an official permit from an administrative institution in North Macedonia?

• AБарање (Formal Request / Application)
• BЖалба (Formal Appeal / Grievance)
• CПисмена опомена (Written Warning)
• DЗаписник (Minutes of Meeting)

In formal Macedonian business correspondence, which salutation and capitalized polite pronoun should be used when addressing an individual director?

• AПочитуван директоре, Ви се обраќам со цел...
• BЗдраво директоре, ти пишувам за да...
• CДраг директоре, сакам да ве прашам...
• DПочитувани, ти се обраќам за...

Which definite article form in Macedonian indicates that the modified noun is spatially or psychologically close to the speaker (проксимална определеност)?

• A-ов / -ва / -во / -ве
• B-от / -та / -то / -те
• C-он / -на / -но / -не
• D-ин / -на / -но / -ни

In professional and technical reporting, what is the primary communicative objective of an executive summary (извршно резиме)?

• ATo provide busy decision-makers with a concise overview of the problem, key findings, con…
• BTo list all bibliographic sources and citations in alphabetical order
• CTo detail the complete raw data tables and sensor logs gathered during field testing
• DTo introduce personal autobiographical anecdotes of the technical team

What is the key functional distinction between an objective technical description and an advertising text (пропаганден/маркетиншки текст)?

• ATechnical description relies on neutral, verifiable specifications and operational facts,…
• BTechnical description is always spoken, whereas advertising is always written in formal p…
• CAdvertising requires exact metric dimensions and tolerance limits, whereas technical desc…
• DTechnical description avoids passive verbs, whereas advertising consists exclusively of m…

In standard Macedonian syntax, which clitic pronoun structure represents correct object doubling (удвојување на предметот) for a feminine direct object?

• AМарија ја прочита новата книга.
• BМарија прочита неа новата книга.
• CМарија му ја прочита на новата книга.
• DМарија го прочита новата книга.

Which section of a Curriculum Vitae (CV / Работна биографија) in Europass format should list technical competencies, machine certifications, and software tools?

• ASkills and competences (Вештини и компетенции)
• BPersonal identification and contact details (Лични податоци)
• CRecreational hobbies and personal opinions (Хоби и лични ставови)
• DFormal grievance registry (Регистар на поплаки)

Which punctuation rule applies when listing multiple technical specifications in a bulleted vertical list where each item is a complete sentence?

• AEach bullet begins with a capital letter and concludes with a period (full stop)
• BEach bullet must begin with a lowercase letter and end with a comma
• CBullets cannot contain punctuation marks under any circumstance
• DBullets must be separated by question marks and enclosed in brackets

Read the following sentence from an industrial user manual: 'Before operating the CNC lathe, the technician must inspect the hydraulic fluid reservoir and verify that the emergency stop button is disengaged.' What is the primary illocutionary function of this sentence?

• APrescriptive safety instruction
• BAesthetic emotional expression
• CHistorical narrative reflection
• DSpeculative theoretical hypothesis

Which of the following statements represents an empirical fact rather than an opinion in a technical workshop evaluation?

• AThe newly installed air compressor operates at a sound pressure level of 68 decibels.
• BThe newly installed air compressor sounds much more pleasant than the old unit.
• CThe blue color of the compressor casing gives workers greater peace of mind.
• DThe workshop manager probably prefers European equipment over Asian models.

In standard Macedonian lexicology, what term describes a word borrowed from a foreign language that is adapted to Macedonian phonological and morphological patterns (e.g., 'шрафцигер', 'фајл')?

• AЗаемка (Loanword / Borrowing)
• BАрхаизам (Archaism)
• CНеологизам (Neologism)
• DФразеологизам (Idiom / Phraseologism)

Which of the following compound words in standard Macedonian is correctly written as a single word without a hyphen?

• AАвтомеханичар (Auto-mechanic)
• BАвто-механичар
• CАвто механичар
• DАвто,механичар

In a formal technical presentation, what is the role of rhetorical signposts (дискурсни маркери) such as 'Прво', 'Од друга страна', and 'Како заклучок'?

• ATo guide the audience through the logical progression and transitions of the presentation
• BTo demonstrate that the presenter possesses a large vocabulary of archaic words
• CTo replace the need for visual technical diagrams and slides
• DTo indicate that the presenter is expressing personal frustration

What syntactic relationship is established by the conjunction 'бидејќи' in a complex Macedonian sentence?

• ACausal relationship (причинска зависносложена реченица)
• BTemporal relationship (временска зависносложена реченица)
• CConditional relationship (условна зависносложена реченица)
• DConcessive relationship (допусна зависносложена реченица)

Which of the following extracts from a workshop incident report demonstrates an objective, non-accusatory administrative tone?

• AAt 10:15, circuit breaker Q2 tripped due to an overload on motor branch line B; power was…
• BThe irresponsible shift operator carelessly caused breaker Q2 to trip and ruined the morn…
• CA terrible and frightening explosion happened because someone forgot how to wire a simple…
• DNobody knows why the breaker failed, but the maintenance crew is certainly to blame.

In Macedonian verbal aspect (глаголски вид), what is the aspectual pair relationship between 'поправа' and 'поправи'?

• A'Поправа' is imperfective (несвршен) and 'поправи' is perfective (свршен)
• B'Поправа' is perfective (свршен) and 'поправи' is imperfective (несвршен)
• CBoth verbs are exclusively perfective (свршени)
• DBoth verbs are biaspectual loan verbs (двовидски глаголи)

In his seminal 1903 work 'За македонцките работи', what primary principle did Krste Petkov Misirkov advocate for establishing the standard literary language?

• AAdopting the central dialects (Veles, Prilep, Bitola) as the phonetic foundation for the…
• BAdopting Old Church Slavonic as the sole official written language across the Balkans
• CUsing the Latin alphabet exclusively for all publications
• DAdopting archaic Russian syntax for administrative documents

Which social class and working-life themes are centrally depicted in Kočo Racin's groundbreaking 1939 poetry collection 'Бели Мугри' (e.g., 'Денови', 'Тутуноберачите', 'Печал')?

• AThe exploitation, grueling labor, and resilience of Macedonian tobacco workers, seasonal…
• BThe court life and chivalric tournaments of medieval European knights
• CFuturistic visions of interplanetary colonization and robotic automation
• DSatirical mockery of pastoral shepherd romances

What literary device is employed in the phrase 'челичен стисок на машината' (the machine's steel grip) when describing industrial equipment in an expressive text?

• AМетафора (Metaphor / Personification)
• BОксиморон (Oxymoron)
• CХипербола (Hyperbole)
• DОноматопеја (Onomatopoeia)

In Anton Panov's canonical drama 'Печалбари' (Migrant Workers), what cultural institution and monetary custom drives the tragic conflict leading to Kostadin's migration?

• AThe custom of paying an exorbitant bride-price (прикуп / бабалак) demanded by the bride's…
• BAn unpaid debt from a speculative stock market investment in Vienna
• CA legal dispute over the copyright of a theatrical play
• DA government tax penalty for operating an unregistered digital printing shop

Which of the following describes the grammatical function of the verbal noun (глаголска именка) ending in '-ње' (e.g., 'заварување', 'мерење') in Macedonian technical communication?

• AIt names an ongoing technical action or process in an abstract nominal form
• BIt expresses the past completed action of a specific technician
• CIt serves as a conditional imperative ordering immediate action
• DIt acts as a comparative adjective describing tool sharpness

A technical architectural blueprint has a scale of 1:50. If a machine foundation measures 12.0 centimeters on the drawing, what is its actual physical length in meters?

• A6.0 meters
• B2.4 meters
• C60.0 meters
• D0.24 meters

In a precision lathe workshop, 15% of the total raw steel bar mass is lost as swarf (metal turnings and scrap). How many kilograms of raw steel are required to manufacture finished parts with a net combined mass of 340 kg?

• A400 kg
• B391 kg
• C450 kg
• D355 kg

Four identical CNC milling machines produce 480 precision gear blanks in 6 hours of continuous operation. At the same individual production rate, how many hours will it take 6 such CNC machines to produce 720 gear blanks?

• A6 hours
• B4 hours
• C8 hours
• D9 hours

An electric motor shaft with a 24-tooth drive gear rotates at 1,500 rpm and meshes directly with a driven gear having 72 teeth. What is the rotational speed of the driven gear shaft?

• A500 rpm
• B4,500 rpm
• C750 rpm
• D300 rpm

An industrial electric heating coil has a resistance of 20 ohms and is connected to a specified 220 V AC supply. What electrical power is dissipated by the heating coil?

• A2,420 W
• B4,400 W
• C1,100 W
• D484 W

A technical drawing specifies a machine pin diameter as 50.00 mm with upper deviation +0.05 mm and lower deviation -0.02 mm. What is the total tolerance zone width for this dimension?

• A0.07 mm
• B0.03 mm
• C0.05 mm
• D0.02 mm

On a cadastral site plan drawn at a scale of 1:2,500, a rectangular industrial property boundary measures 8.0 cm in length and 4.0 cm in width. What is the actual land area of the property in square meters?

• A20,000 m²
• B8,000 m²
• C32,000 m²
• D2,000 m²

A vehicle cooling system requires 60 liters of a 25% antifreeze solution. The workshop technician has pure water (0% concentration) and concentrated 75% glycol antifreeze. How many liters of the 75% concentrate must be mixed with water to prepare the solution?

• A20 liters of concentrate and 40 liters of water
• B15 liters of concentrate and 45 liters of water
• C25 liters of concentrate and 35 liters of water
• D30 liters of concentrate and 30 liters of water

A cylindrical industrial storage tank has an internal diameter of 2.0 meters and a height of 3.5 meters. Taking π ≈ 3.14, what is the maximum storage volume of this tank in liters (where 1 m³ = 1,000 liters)?

• A10,990 liters
• B43,960 liters
• C21,980 liters
• D7,330 liters

A straight ventilation duct (open at both ends) has a rectangular cross-section of 0.4 meters by 0.6 meters and a total length of 5.0 meters. What is the total surface area of sheet metal required to fabricate the four side walls of the duct (excluding seams and waste)?

• A10.0 m²
• B1.2 m²
• C20.0 m²
• D5.0 m²

A conical hopper for grain feed has a top circular radius of 1.5 meters and a vertical depth (height) of 4.0 meters. Taking π ≈ 3.14, what is the internal volume of the hopper?

• A9.42 m³
• B28.26 m³
• C18.84 m³
• D6.28 m³

In a hydraulic workshop lift operating according to Pascal's principle, the small input piston has an area of 10 cm² and the large lifting piston has an area of 250 cm². If a technician applies a downward force of 400 N to the small piston, what vertical lifting force is exerted by the large piston?

• A10,000 N
• B1,600 N
• C2,500 N
• D40,000 N

A water distribution pipe has an internal diameter of 0.10 meters (100 mm). Water flows through the pipe with a steady mean velocity of 2.0 m/s. Taking π ≈ 3.14, what is the volumetric flow rate Q through the pipe in cubic meters per second (m³/s)?

• A0.0157 m³/s
• B0.0628 m³/s
• C0.0314 m³/s
• D0.157 m³/s

A symmetrical triangular roof truss has an overall horizontal span of 12.0 meters and a central vertical height (king post) of 4.5 meters. By the Pythagorean theorem, what is the length of each sloping rafter from eaves to ridge?

• A7.5 meters
• B8.5 meters
• C6.8 meters
• D12.8 meters

A continuous steel rail section has an initial length of 25.0 meters at 0 °C. The coefficient of linear thermal expansion for steel is α = 1.2 × 10⁻⁵ / °C. How much will the rail expand in millimeters when heated by solar radiation to 40 °C?

• A12.0 mm
• B1.2 mm
• C120.0 mm
• D0.48 mm

A ramp design calls for a slope no steeper than 1:12 and must bridge a vertical height of 1.20 meters. What minimum horizontal run satisfies that design requirement?

• A14.4 meters
• B10.0 meters
• C12.0 meters
• D15.6 meters

A telecommunications technician stands 50.0 meters away from the base of a vertical antenna mast on horizontal ground. Using a theodolite at ground level, the angle of elevation to the mast top is measured as 30°. Given tan 30° ≈ 0.577, what is the calculated height of the mast?

• A28.85 meters
• B43.30 meters
• C25.00 meters
• D57.70 meters

A tension cable exerts a pulling force of 500 N at an angle of 60° above the horizontal ground. Given cos 60° = 0.500 and sin 60° ≈ 0.866, what are the horizontal (Fx) and vertical (Fy) component forces?

• AFx = 250 N and Fy = 433 N
• BFx = 433 N and Fy = 250 N
• CFx = 350 N and Fy = 350 N
• DFx = 500 N and Fy = 250 N

A circular belt drive pulley has an effective radius of 0.20 meters and rotates at an angular velocity of ω = 50 radians per second. What is the linear tangential speed of the drive belt?

• A10.0 m/s
• B250.0 m/s
• C2.5 m/s
• D25.0 m/s

In a structural triangular frame, two steel struts have lengths of 2.0 meters and 3.0 meters and join at an internal angle of 60°. Given cos 60° = 0.5, what is the exact length of the third strut connecting their opposite ends?

• A√7 meters (≈ 2.65 m)
• B√19 meters (≈ 4.36 m)
• C√13 meters (≈ 3.61 m)
• D√5 meters (≈ 2.24 m)

A commercial CNC milling machine is purchased by an engineering firm for 1,200,000 MKD. The machine has an estimated service life of 10 years and an anticipated residual salvage value of 200,000 MKD. Using the straight-line depreciation method (линеарна амортизација), what is the annual depreciation expense?

• A100,000 MKD per year
• B120,000 MKD per year
• C140,000 MKD per year
• D80,000 MKD per year

A vocational manufacturing enterprise produces custom electrical distribution boxes with fixed monthly overhead costs of 180,000 MKD. The variable production cost per unit is 700 MKD, and the selling price is set at 1,300 MKD. How many units must be produced and sold monthly to reach the break-even point (точка на рентабилност)?

• A300 units
• B257 units
• C138 units
• D600 units

A supplier issues an invoice for industrial spare parts with a net subtotal of 45,000 MKD. If this invoice applies VAT (ДДВ) at 18%, what is the gross total?

• A53,100 MKD
• B51,500 MKD
• C48,100 MKD
• D55,000 MKD

A small business obtains an equipment modernization loan of 500,000 MKD at an annual compound interest rate of 6.0%, compounded annually. What is the total compound balance payable at the end of 2 years?

• A561,800 MKD
• B560,000 MKD
• C530,000 MKD
• D620,000 MKD