Croatia Master Mariner study materials
Croatia Master Mariner study resources

Croatia Master Mariner common mistakes

Croatia Master Mariner · Understand the traps and how to avoid them.

Mistake 1

When calculating a great-circle route, the candidate uses the mean of the two latitudes as the mid-latitude for the departure and arrival points, ignoring the fact that the great circle bulges poleward, so the mid-latitude is not the arithmetic mean.

This error occurs because the candidate applies the simple mid-latitude formula, which is only valid for a rhumb line or for short distances, to a great-circle problem. It often stems from not distinguishing between great-circle and rhumb-line sailing and from not visualizing the track on a gnomonic chart.

What to do instead

Use the great-circle formula with the vertex latitude: find the vertex using the relationship cos(vertex lat) = cos(lat1) * sin(initial course), then compute the latitude at any longitude using the great-circle equation. Alternatively, use Napier's rules or spherical trigonometry to find intermediate points. Always verify the result by plotting on a gnomonic chart or using a great-circle calculator. Practice with routes that cross the equator or have large longitude differences.

Mistake 2

In cargo stowage, the candidate calculates the ship's initial stability (GM) but forgets to correct for the free surface effect of partially filled tanks or holds, leading to an overestimation of GM and an unsafe stowage plan.

Candidates often treat tanks as either full or empty, ignoring that during a voyage, ballast or fuel tanks may be partially filled, creating a free surface that reduces effective GM. This happens because the free surface correction (FSC) is sometimes omitted in simplified stability calculations, and candidates may not appreciate that the free surface effect is independent of the amount of liquid and depends only on the tank dimensions.

What to do instead

Always calculate the free surface correction for each tank that is not completely full, using FSC = (ρ_liquid / ρ_ship) * (I / Δ), where I is the second moment of area of the free surface about the longitudinal axis. Sum the corrections for all tanks and subtract from the solid GM. Use the ship's stability booklet to obtain tank dimensions and remember that the correction is applied to the initial KG or GM. In the exam, explicitly state the assumption that tanks are full or empty; if not, include FSC.

Mistake 3

When answering questions on the International Regulations for Preventing Collisions at Sea (COLREGs), the candidate misapplies Rule 13 (overtaking) by stating that the overtaking vessel must keep out of the way only until it is past the other vessel's beam, rather than until it is finally past and clear.

This mistake arises from a common misconception that the overtaking situation ends when the vessels are abeam. Candidates may confuse the definition of overtaking with the crossing rule (Rule 15) and forget that the overtaking vessel must keep clear until it is finally past and clear, as per Rule 13(b). It often happens because candidates memorize simplified versions of the rules without reading the exact text.

What to do instead

Memorize Rule 13 verbatim: 'Any vessel overtaking any other shall keep out of the way of the vessel being overtaken.' And 'A vessel shall be deemed to be overtaking when coming up with another vessel from a direction more than 22.5 degrees abaft her beam...' The overtaking vessel must keep clear until it is finally past and clear. Practice with scenario-based questions that test the transition from overtaking to crossing or meeting. Use the COLREGs text as the primary reference, not summaries.

Mistake 4

In meteorology, the candidate uses the geostrophic wind approximation to explain surface wind direction in the tropics, neglecting the Coriolis effect's dependence on latitude and the presence of friction and pressure gradient forces near the equator.

Candidates often learn the geostrophic wind concept in mid-latitudes and apply it universally, forgetting that the Coriolis force is zero at the equator and that surface winds are affected by friction and local effects. This leads to incorrect answers about trade wind direction and tropical cyclone rotation.

What to do instead

Understand that geostrophic balance applies only in free atmosphere away from the equator and above the friction layer. For surface winds, use the concept of the Ekman spiral and consider friction: wind crosses isobars toward low pressure. In the tropics, the Coriolis force is weak, so other forces (pressure gradient, friction, and local thermal effects) dominate. Study the general circulation: trade winds blow from subtropical highs toward the equatorial trough, deflected by Coriolis (northeast in NH, southeast in SH). For tropical cyclones, remember they do not form within 5° of the equator due to insufficient Coriolis force. Use real weather maps to practice wind interpretation.

Mistake 5

When calculating the ship's squat, the candidate uses the block coefficient (Cb) instead of the block coefficient corrected for the water depth-to-draft ratio, or forgets that squat increases significantly in shallow water and is affected by the ship's speed and trim.

Many candidates apply a simple squat formula (e.g., squat = Cb * V^2 / 100) without considering the depth-to-draft ratio (H/T). The standard formula is for open water; in confined or shallow water, squat increases. Candidates often overlook the effect of blockage and the fact that squat is also influenced by the ship's trim and the presence of a mud layer.

What to do instead

Use the appropriate squat formula for the water depth: for open water, squat = (Cb * S^2 / 100) * (2 * B / (B + H))? Actually, a common formula is squat = (Cb * V^2 / 100) * (B / (H - T))? Better to refer to standard references. In the exam, state the formula you use and the conditions. For shallow water, use the Barrass formula: squat = (Cb * V^2 / 100) * (B / (H - T))? I need to be accurate. The Barrass formula: Squat = (Cb * V^2 / 100) * (B / (H - T))? Not sure. Let's use the general approach: squat is proportional to speed squared and block coefficient, and inversely proportional to under-keel clearance. The formula often used: squat = (Cb * V^2 / 100) * (B / (H - T))? Actually, the Barrass formula is: Squat = (Cb * V^2 / 100) * (B / (H - T))? I recall: Squat = (Cb * V^2 / 100) * (2 * B / (B + H))? I'm not confident. To avoid inaccuracy, I'll phrase the fix to emphasize understanding the factors and using the ship's squat tables or the formula provided in the exam. The fix: Always check the depth-to-draft ratio; if H/T < 2.5, squat increases. Use the formula provided in the ship's maneuvering booklet or standard texts like Barrass. Remember that squat is maximum when the ship is at even keel and increases with speed. In the exam, show the formula and the correction for shallow water. Practice with numerical problems.

Mistake 6

In maritime law, the candidate confuses the concepts of 'general average' and 'particular average' when analyzing a casualty, incorrectly stating that damage to the ship's engine caused by fire is a general average sacrifice because it was for the common safety.

Candidates often memorize definitions without understanding the distinction: general average requires an intentional and reasonable sacrifice or expenditure for the common safety, whereas particular average is accidental damage not intentionally incurred. The fire itself is not a general average act; only the damage from extinguishing the fire (e.g., water damage) might be general average if intentionally used to save the ship. Engine damage from fire is particular average.

What to do instead

Learn the York-Antwerp Rules definition: General average act is any extraordinary sacrifice or expenditure intentionally and reasonably made or incurred for the common safety for the purpose of preserving from peril the property involved in a common maritime adventure. Particular average is damage to a particular interest not intentionally caused. In the exam, identify whether the act was intentional and for the common safety. Use case studies: e.g., jettison of cargo is general average; damage to cargo by sweat is particular average. Practice classifying scenarios: fire damage to engine (particular), water damage to cargo from firefighting (general average if used to save ship), salvage remuneration (general average if property saved).

Mistake 7

When answering questions on the International Convention for the Safety of Life at Sea (SOLAS), the candidate states that the ISM Code applies to all ships of 500 gross tonnage and upwards, but forgets that it also applies to passenger ships and tankers regardless of tonnage, and that it applies to all ships engaged on international voyages.

Candidates often remember the 500 GT threshold from other conventions (like MARPOL) and apply it to ISM. They may not have read SOLAS Chapter IX carefully. The ISM Code applies to all passenger ships, oil tankers, chemical tankers, gas carriers, bulk carriers, and cargo high-speed craft of 500 GT and above, but also to other cargo ships and mobile offshore drilling units of 500 GT and above. However, it does not apply to ships of less than 500 GT unless the Administration decides otherwise. The mistake is often overgeneralizing or missing the passenger ship inclusion.

What to do instead

Memorize SOLAS Chapter IX, Regulation 2: The ISM Code applies to all passenger ships, and to all cargo ships and mobile offshore drilling units of 500 gross tonnage and upwards. Note that passenger ships are included regardless of tonnage. Also, the Code applies to all ships on international voyages. In the exam, read the question carefully: if it asks 'which ships must comply with the ISM Code?', list passenger ships, and cargo ships of 500 GT and above. Use the SOLAS text as reference and create a table of conventions and their applicability thresholds.

Mistake 8

In stability calculations for a ship with a negative metacentric height (GM), the candidate states that the ship will capsize immediately, rather than recognizing that the ship will list to an angle where the righting moment is zero (angle of loll) and may be stable in that condition if the GZ curve has a positive range.

Candidates often confuse negative GM with unstable equilibrium and assume immediate capsize. They may not understand the concept of the angle of loll, where the ship is in unstable equilibrium at upright and finds a stable equilibrium at a small angle of heel. This mistake stems from not studying the GZ curve for negative GM and not visualizing the shift of the center of buoyancy.

What to do instead

Understand that with negative GM, the ship is initially unstable at upright and will heel to an angle of loll where GZ = 0 and the slope of the GZ curve is positive (stable). The ship may remain afloat at that angle, but is vulnerable to further heeling. To correct, lower G or add weight at the centerline, or fill low tanks to reduce free surface. In the exam, sketch the GZ curve for negative GM, showing the angle of loll. Practice problems: given KG and KM, determine if GM is negative, find the angle of loll using the wall-sided formula, and recommend corrective action. Never state the ship capsizes unless the GZ curve has no positive range.

Mistake 9

When describing emergency procedures for a fire in the engine room, the candidate states that the fixed CO2 system should be released immediately upon detection of fire, without ensuring that all personnel are accounted for and that the space is sealed.

Candidates may memorize the steps of the CO2 system but forget the critical safety prerequisites: mustering all personnel, accounting for everyone, and sealing the space to prevent CO2 leakage and to maintain the required concentration. This mistake often arises from focusing on the extinguishing action rather than the safety procedure and the need to avoid asphyxiation.

What to do instead

Follow the established procedure: On detection of fire, sound the alarm, muster crew, and take a head count. Ensure the engine room is evacuated and sealed (close all openings, stop ventilation). Only then release CO2, after confirming no one is inside. Remember that CO2 reduces oxygen and is lethal; also, the space must be kept sealed for a specified period (e.g., 24 hours) to allow cooling. In the exam, list the steps in order: alarm, muster, account for personnel, isolate space, release CO2, monitor boundaries, and do not open until cooled. Practice with SOLAS and FSS Code requirements for fixed CO2 systems.

Mistake 10

In electronic navigation, the candidate uses the range from a single GPS satellite or a single terrestrial fix without cross-checking with an independent position source, and fails to account for the limitations of the system, such as selective availability (historical) or ionospheric errors, leading to an overconfident position.

Candidates often trust a single electronic fix because it is displayed on the ECDIS or GPS, without understanding that GPS accuracy can be degraded by atmospheric conditions, multipath, or jamming, and that a single range does not provide a fix. They may also forget that terrestrial systems like Loran-C are obsolete in many areas. This mistake stems from not applying the principle of using at least two independent position sources and not monitoring the quality indicators (HDOP, satellite count).

What to do instead

Always use at least two independent position fixing methods: e.g., GPS plus visual bearings, or GPS plus radar. On ECDIS, monitor the GPS quality: number of satellites, HDOP, and any warnings. Understand that a single range from a satellite is not a fix; you need at least four satellites for a 3D fix. For terrestrial systems, know their limitations. In the exam, when asked about position fixing, state the method, the expected accuracy, and the cross-check. Practice with ECDIS simulation and learn to interpret the quality indicators. Remember that the master must ensure the accuracy of the position, especially in confined waters.