Angola Naval Academy Entrance Exam flashcards
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- Quadratic formula
- For ax² + bx + c = 0 with a ≠ 0, the solutions are x = (-b ± √(b² - 4ac)) / 2a. The discriminant b² - 4ac determines how many real roots exist.
- Pythagorean theorem
- In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs: a² + b² = c². It applies only to right triangles.
- Arithmetic progression sum
- For an arithmetic sequence with first term a₁ and common difference d, the nth term is a₁ + (n-1)d and the sum of n terms is n(a₁ + aₙ)/2.
- Probability complement rule
- The probability that an event does not occur equals 1 minus the probability that it occurs: P(not A) = 1 - P(A). Probabilities always lie between 0 and 1.
- Proparoxítona accent rule
- In Portuguese, every proparoxítona word - one stressed on the antepenultimate syllable, such as 'lâmpada' or 'médico' - is always written with an accent.
- Crase usage
- Crase (à) marks the contraction of preposition 'a' with article 'a' before feminine nouns, as in 'vou à escola'. It is not used before masculine nouns or most verbs.
- Os Lusíadas
- Epic poem by Luís de Camões, published in 1572, in ten cantos. It celebrates Vasco da Gama's sea route to India and is Portugal's national epic.
- Fernando Pessoa heteronyms
- Distinct authorial personas created by Fernando Pessoa, chiefly Alberto Caeiro, Ricardo Reis and Álvaro de Campos. Each has its own style, biography and worldview, separate from the orthonym Pessoa.
- Newton's second law
- The net force acting on a body equals its mass times its acceleration: F = m·a. Force is measured in newtons, mass in kilograms, acceleration in m/s².
- Ohm's law
- For a conductor at constant temperature, voltage equals current times resistance: V = I·R. Voltage is in volts, current in amperes, resistance in ohms.
- Kinetic energy
- The energy a body possesses due to its motion, given by Eₖ = ½mv², where m is mass and v is speed. Doubling speed quadruples kinetic energy.
- Wave equation
- For any periodic wave, speed equals frequency times wavelength: v = f·λ. Frequency is in hertz and wavelength in metres.
- Mole and Avogadro's number
- One mole of any substance contains 6.022 × 10²³ elementary particles and has a mass in grams numerically equal to its molar mass.
- pH scale
- pH = -log[H⁺]. At 25 °C a solution with pH below 7 is acidic, pH equal to 7 is neutral, and pH above 7 is basic.
- Ionic versus covalent bonds
- Ionic bonds form by transfer of electrons, typically between a metal and a non-metal. Covalent bonds form by sharing electron pairs, typically between non-metals.
- Oxidation and reduction
- Oxidation is loss of electrons and an increase in oxidation number. Reduction is gain of electrons and a decrease in oxidation number; both occur together in redox reactions.
- Photosynthesis equation
- Green plants convert carbon dioxide and water into glucose and oxygen using light energy: 6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂. It occurs in chloroplasts.
- Prokaryotic versus eukaryotic cells
- Prokaryotic cells have no membrane-bound nucleus or organelles and include bacteria. Eukaryotic cells have a true nucleus and membrane-bound organelles and include plants and animals.
- DNA base pairing
- In DNA, adenine pairs with thymine and guanine with cytosine. In RNA, uracil replaces thymine. The molecule is a double helix of nucleotides.
- Mendel's law of segregation
- Each organism carries two alleles for each gene; during gamete formation they separate so each gamete receives only one allele, randomly chosen.
- Angolan independence date
- Angola became independent from Portugal on 11 November 1975. Agostinho Neto proclaimed the People's Republic of Angola and became its first President.
- Berlin Conference
- A meeting of European powers held in 1884-1885 that set rules for the colonisation and partition of Africa, including free navigation and effective occupation principles.
- Angola's borders
- Angola borders the Democratic Republic of the Congo to the north and northeast, Zambia to the east, Namibia to the south, and the Atlantic Ocean to the west.
- Lines of latitude
- Imaginary horizontal circles: the Equator at 0°, the Tropics of Cancer and Capricorn at 23.5° north and south, and the polar circles at 66.5° north and south.
- Angolan Constitution supremacy
- The Constitution of the Republic of Angola, adopted in 2010, is the supreme law. Any law or act contrary to its provisions is invalid.
- Chain of command
- The military principle by which orders pass downward from superior to subordinate through each rank level, while accountability and responsibility flow upward.
- Military discipline
- Strict obedience to lawful orders, punctuality, correct wearing of uniform and respect for superiors. It sustains unit cohesion and operational effectiveness.
- Duties of the armed forces
- Angola's armed forces defend national sovereignty, territorial integrity and the constitutional order, and may support civil protection and humanitarian tasks.
- Present perfect tense
- Formed with have or has plus the past participle, as in 'she has finished'. It links a past action to the present or refers to time not specified.
- Passive voice formation
- The passive is formed with the correct tense of 'be' plus the past participle, as in 'the order was given'. The original object becomes the subject.
- Third conditional
- Used for unreal past situations: if + past perfect, then would have + past participle, as in 'If he had studied, he would have passed'.
- Prepositions of time
- Use 'in' with months, years and seasons; 'on' with days and dates; 'at' with clock times and fixed expressions such as 'at night'.