Mathematics
Factor completely the given: x³ - 5x² - 48x + 108 = 0
(x+6)(x-9)(x-2)
Which layer of Earth is primarily responsible for generating Earth's magnetic field?
A. Crust
B. Mantle
C. Outer core
D. Inner core
C. Outer core
What figure of speech is used in “The stars danced across the sky”?
A. Simile
B. Personification
C. Hyperbole
D. Irony
B. Personification
Which country experienced a major volcanic eruption at Mount Fuego in August 2026?
A. Guatemala
B. Chile
C. Indonesia
D. Iceland
A. Guatemala
What is the central theme of Filipino Christian Living according to the FCL paradigm?
A. Academic excellence
B. Christ-centered living
C. Political leadership
D. Economic development
B. Christ-centered living
Fyang is 24 years old. Fyang is twice as old as Jas was when Fyang was as old as Jas is now. How old is Jas?
16
What process converts glucose into usable cellular energy in the presence of oxygen?
A. Photosynthesis
B. Cellular respiration
C. Transpiration
D. Fermentation
B. Cellular respiration
Which sentence uses the correct form of “their,” “there,” or “they're”?
A. Their going to the library.
B. The students left they're books outside.
C. They're planning to visit their grandparents.
D. Put the books over they're.
C. They're planning to visit their grandparents.
Which organization reported record-breaking land and sea temperatures, heat, drought, fires, and floods during July and early August 2026?
A. UNESCO
B. WHO
C. World Meteorological Organization
D. International Monetary Fund
C. World Meteorological Organization
Aside from the Trinity, the triangle also represents which important institution in Filipino Christian Living?
A. The government
B. The school
C. The Holy Family
D. The parish
C. The Holy Family
If an alloy containing 30% silver is mixed with 55% silver alloy to get 800 pounds of 40% silver alloy, how much of the 30% silver alloy must be used?
480 lb
What is the smallest unit of an element that retains its chemical properties?
atom
Which sentence is written in the passive voice?
A. The scientist conducted the experiment.
B. The students analyzed the results.
C. The experiment was conducted by the scientist.
D. The scientist is conducting the experiment.
C. The experiment was conducted by the scientist.
Which Philippine government official announced plans to expand the country's military drone capabilities?
A. Gilberto Teodoro
B. Ralph Recto
C. Jonvic Remulla
D. Sonny Angara
A. Gilberto Teodoro
What nickname was given to Dr. Jose G. Tamayo because of his service in rural areas?
A. Doctor of the Poor
B. Doctor to the Barrio
C. Doctor of the People
D. Doctor of the Nation
B. Doctor to the Barrio
How many minutes after 7'oclock will the hands of the clock be together?
a. 5.45 min
b. 54. 55 min
c. 21.82 min
d. 38.18 min
d. 38.18 min
What phenomenon allows astronomers to estimate the distance to nearby stars by observing their apparent shift in position as Earth moves around the Sun?
A. Doppler effect
B. Stellar parallax
C. Gravitational lensing
D. Stellar aberration
B. Stellar parallax
What literary device involves placing contradictory terms together, such as “deafening silence”?
A. Paradox
B. Oxymoron
C. Euphemism
D. Metonymy
B. Oxymoron
What Philippine government agency recently raised its key interest rate to 5.00% in August 2026?
A. Department of Finance
B. Philippine Statistics Authority
C. Bangko Sentral ng Pilipinas
D. Bureau of the Treasury
C. Bangko Sentral ng Pilipinas
What does the small mouth of Mary symbolize in the icon the Mother of Perpetual Help?
A. Silence and recollection
B. Fear and suffering
C. Authority and leadership
D. Joy and celebration
A. Silence and recollection
If 3 is subtracted from the numerator of a certain fraction, the value of the fraction becomes 3/5. If one is subtracted from the denominator, the fraction becomes 2/3. Find the original fraction.
a. 35/55
b. 36/55
c. 3/7
d. 32/41
b. 36/55
What is the oxidation state of sulfur in H₂SO₄?
+6
Which sentence demonstrates correct parallel structure?
A. She enjoys reading, to write, and painting.
B. She enjoys reading, writing, and painting.
C. She enjoys to read, writing, and to paint.
D. She enjoys reading, to write, and to paint.
B. She enjoys reading, writing, and painting.
What Philippine defense capability is the government seeking to expand as part of military modernization?
A. Nuclear submarines
B. Unmanned aerial systems and drones
C. Aircraft carriers
D. Space stations
B. Unmanned aerial systems and drones
A student knows that helping the community is important but never acts on that belief. Which dimension of formation is most clearly lacking?
A. Head
B. Heart
C. Hand
D. Doctrine
C. Hand