All practice questions

A marine biologist conducted an experiment to evaluate how water flow velocity affects the peak bioluminescence intensity produced by the dinoflagellate *Pyrocystis fusiformis*. In four separate experimental trials, cell cultures were exposed to flow velocities of $0.1\text{ m/s}$, $0.5\text{ m/s}$, $1.0\text{ m/s}$, and $2.0\text{ m/s}$. In each trial, the cell density ($1{}000\text{ cells/mL}$), water temperature ($20^\circ\text{C}$), and ambient light intensity ($0\text{ lux}$) were kept constant.

Match each experimental variable category on the left with its corresponding component from the experiment on the right.

A circular section of a community park is bounded by two straight footpaths meeting at the park's center at a $75^\circ$ angle, and an outer curved walking trail. If the length of the outer curved walking trail is $5\pi$ meters, what is the area, in square meters, of this section of the park?

The following passage is adapted from an essay on the history of early twentieth-century pharmacology:

In 1915, chemist Alice Ball at the College of Hawaii developed a groundbreaking treatment for Hansen's disease (leprosy). Prior to her research, oil extracted from the seeds of the chaulmoogra tree (*Hydnocarpus wightianus*) was known to possess therapeutic properties, but it presented severe administration challenges. When ingested orally, the raw oil induced debilitating gastrointestinal nausea, causing patients to vomit before the medication could be absorbed. Subcutaneous injections of the unmodified oil were equally problematic; due to its extreme viscosity and insolubility in water, the oil pooled under the skin, creating painful lesions and sterile abscesses that refused to heal.

Recognizing that the active therapeutic agents were specific fatty acids within the oil—namely chaulmoogric acid and hydnocarpic acid—Ball sought a chemical technique to alter their physical properties without destroying their antibacterial efficacy. Working in a small laboratory equipped with a reflux apparatus and vacuum distillation units, she subjected the raw fatty acids to esterification. By reacting the fatty acids with ethyl alcohol in the presence of an acid catalyst, she converted the heavy, viscous triglycerides into lightweight ethyl esters.

However, a major chemical obstacle remained: separating the therapeutic ethyl esters from unreacted fatty acids and undesirable lipid byproducts. Ball discovered that by cooling the reaction mixture to exactly $5^\circ\text{C}$ in an ice-salt bath, the unreacted saturated fatty acids crystallized into solid precipitates, whereas the desired ethyl esters remained in liquid form. She then utilized a suction filtration assembly fitted with a Büchner funnel to isolate the liquid filtrate. Subsequent vacuum distillation yielded a purified, water-soluble ethyl ester derivative that could be safely injected into muscular tissue without causing subcutaneous clumping or systemic toxicity.

Despite her sudden illness and untimely death in December 1916 at age 24, Ball's supervisor, Dr. Arthur L. Dean, continued testing the derivative. However, Dean initially published the findings without crediting her discovery—a technique later coined the "Ball Method." It was not until 1922, when Dr. Harry T. Hollmann published a paper explicitly identifying Ball as the sole originator of the ethyl ester isolation procedure, that her contribution received formal scientific recognition. The Ball Method remained the primary treatment for Hansen's disease worldwide until the introduction of sulfone antibiotics in the 1940s.

According to the passage, what specific technique did Alice Ball use to isolate the liquid ethyl esters from the unreacted saturated fatty acids?

In right triangle $JKM$, the right angle is at vertex $K$. Leg $JK$ has a length of $16$ centimeters. If $\sin(\angle M) = \frac{8}{17}$, what is the length, in centimeters, of leg $KM$?

Read the passage below and fill in the blank with the correct form of the verb in parentheses to maintain consistent verb tense and temporal sequence throughout the text.

Architects designing modern skyscrapers often incorporate self-healing concrete, a novel material embedded with bacterial spores that produce limestone when exposed to moisture. Due to the fact that this biological process occurs automatically by itself, structural repair costs for micro-cracks are drastically reduced over time.

Which choice best eliminates unnecessary redundancy while maintaining the grammatical correctness of the sentence?

A rotary lawn sprinkler sweeps out a sector-shaped region of a yard with a central angle of $150^\circ$. If the area of the irrigated sector is $60\pi$ square feet, what is the perimeter, in feet, of the irrigated lawn sector?

Read the passage below:

This passage is adapted from an essay on twentieth-century linguistics and classical archaeology.

In October 1936, a fourteen-year-old British student named Michael Ventris attended an exhibition at Burlington House in London marking the anniversary of the British School at Athens. The keynote speaker was Sir Arthur Evans, the renowned archaeologist who had spent decades excavating the Bronze Age complex at Knossos on the island of Crete. Evans showcased several sun-dried clay tablets covered in mysterious, stylized markings. Evans categorized these inscriptions into three distinct phases: a hieroglyphic script, an earlier linear script he termed Linear A, and a later, more pervasive script he designated Linear B. Evans firmly believed that Linear B represented a non-Greek language spoken by the indigenous Minoans, a hypothesis that dominated Aegean archaeology for nearly half a century.

Intrigued by Evans’s presentation, Ventris resolved to decipher Linear B. Rather than pursuing classical studies professionally, however, Ventris trained as an architect, earning his diploma from the Architectural Association School of Architecture in 1942. Throughout the late 1940s, he pursued his linguistic research in his spare time. He constructed intricate comparative grids, meticulously analyzing the distribution and frequency of eighty-eight distinct syllabic characters recorded on published casts of the tablets. Ventris operated under the methodological assumption that Linear B was a purely syllabic script—where each symbol represented a consonant followed by a vowel—rather than an alphabetic or purely ideographic system.

The prevailing scientific consensus continued to reject any connection between Linear B and early Greek. Historians argued that the Mycenaeans of mainland Greece had merely absorbed Minoan cultural artifacts without adopting Greek as a written medium during the Late Bronze Age. A turning point occurred in 1952 when American archaeologist Carl Blegen published a fresh corpus of hundreds of clay tablets recovered from the mainland palace of Pylos. Blegen’s discovery demonstrated that Linear B was not confined to Crete but was extensively utilized across mainland Mycenaean strongholds.

Using Blegen’s new transcriptions, Ventris noticed specific recurring groups of characters that appeared on the Cretan tablets but were entirely absent from the Pylos tablets. He hypothesized that these localized character clusters represented geographic place names unique to Crete. In May 1952, Ventris successfully decoded one such cluster as Ko-no-so (Knossos) and another as A-mi-ni-so (Amnisos), the port town serving Knossos. When he applied the phonetic values derived from these place names to other vocabulary on the tablets, recognizable Greek words began to emerge. For example, the character combination for 'corselet' aligned with archaic Greek terminology for armor.

On June 18, 1952, Ventris delivered a radio broadcast on the BBC Third Programme, cautiously announcing that Linear B appeared to be an archaic dialect of Greek, predating the epics of Homer by roughly five hundred years. Shortly thereafter, classical philologist John Chadwick of Cambridge University joined Ventris to rigorously test the decipherment against additional tablets. In 1953, Ventris and Chadwick published their landmark paper, 'Evidence for Greek Dialects in the Mycenaean Archives,' in the Journal of Hellenic Studies. Their work conclusively established that Mycenaean Greek was the oldest recorded written dialect of the Indo-European language family.

Based on the information in the passage, is the following statement True or False?

Statement: Michael Ventris learned of Carl Blegen’s newly published clay tablets from Pylos before he completed his architectural diploma in 1942.

A marine geochemist conducted an experiment to evaluate the effect of ocean depth on the dissolution rate of calcium carbonate ($\text{CaCO}_3$). Four sealed pressure vessels were filled with seawater kept at a constant temperature of $2^\circ\text{C}$ and a fixed salinity of $35\text{ psu}$. The hydrostatic pressure in each vessel was set to a different specific level: $100\text{ atm}$, $200\text{ atm}$, $300\text{ atm}$, or $400\text{ atm}$. A synthetic calcite pellet with an initial mass of $5.00\text{ g}$ was placed in each vessel. After $48\text{ hours}$, the pellet was removed and weighed to determine the total mass of dissolved $\text{CaCO}_3$ (in milligrams). Which of the following correctly identifies the independent variable and one of the controlled variables in this experiment?

A 25-foot ladder leans against a vertical wall on flat, horizontal ground. The base of the ladder is positioned 7 feet away from the wall. If $\theta$ represents the measure of the angle formed between the ladder and the ground, what is the value of $\sin(\theta) + \cos(\theta)$?

While analyzing seismic data from the subduction zone, the geophysicist tracked the frequent, subtle tremors, recorded changes in groundwater levels, and mapped the fault line's stress points.

Which choice provides the correct punctuation and structure for the underlined portion?

Ancient Roman harbor structures built from volcanic ash concrete have survived immersion in seawater for over two millennia. Modern materials scientists discovered that when seawater interacts with the concrete's minerals, rare crystalline structures grow within the matrix and reinforce it. This unique chemical process enables the ancient piers to handle centuries of wave action and mechanical stress.

Which choice best maintains the formal academic tone of the passage and most precisely describes the concrete's ability to resist physical forces?

Researchers analyzing microfossils of starch grains on ancient grinding stones have identified early agricultural practices in the Andean highlands. These microscopic plant residues provide direct evidence of crop processing, however, establishing precise radiocarbon dates for the artifacts themselves remains a technical challenge. Soil contamination often skews isotope measurements.

Which of the following alternatives to the underlined portion would be MOST acceptable?

An architect is designing a triangular solar panel frame with side lengths measuring $15$ feet, $24$ feet, and $21$ feet. What is the measure, in degrees, of the interior angle opposite the side measuring $21$ feet?

A botanist conducted an experiment to measure the rate of transpiration in *Arabidopsis thaliana* when exposed to varying concentrations of exogenous abscisic acid (ABA) under constant ambient conditions ($22^\circ\text{C}$ and $30\%$ relative humidity). Four groups of 15 plants each were treated as follows:

- Group 1: Sprayed with an equal volume of distilled water containing $0\ \mu\text{M}$ ABA.
- Group 2: Sprayed with a $10\ \mu\text{M}$ ABA solution.
- Group 3: Sprayed with a $50\ \mu\text{M}$ ABA solution.
- Group 4: Sprayed with a $100\ \mu\text{M}$ ABA solution.

All groups were maintained under identical lighting and temperature conditions, and transpiration rates were recorded 2 hours post-treatment. Which group served as the control group in this experiment, and what was its primary purpose?

Atmospheric scientists measured the mixing ratio of methane ($\text{CH}_4$, in $\text{ppm}$) and carbon monoxide ($\text{CO}$, in $\text{ppb}$) at various altitudes above sea level ($\text{km}$) during an atmospheric survey, as shown in the table below:

Statement: If these tabular data are translated into a line graph plotting atmospheric concentration versus altitude ($0$ to $12\text{ km}$), both gases will be represented by curves with negative slopes, and carbon monoxide will show a larger overall percentage decrease than methane across the altitude range.

A retail clothing store applies successive markdowns to a coat during a seasonal clearance sale. In the first week, the original price of the coat is discounted by $30\%$. In the second week, the price is reduced by an additional $\frac{1}{5}$ of the first-week sale price. Finally, a customer uses a promotional code at checkout to receive an extra $15\%$ off the second-week sale price. If the customer pays a final price of $\$119.00$ before tax, what was the original price of the coat, in dollars?

A team of atmospheric chemists investigated photochemical smog formation by measuring ozone ($O_3$) production in a sealed $10\text{ m}^3$ environmental chamber. Across five experimental trials, the researchers systematically varied the ultraviolet (UV) light irradiance level ($20$, $40$, $60$, $80$, and $100\text{ W/m}^2$). In all trials, chamber temperature ($25^\circ\text{C}$), relative humidity ($50\%$), and initial concentrations of nitrogen dioxide ($NO_2$, $0.5\text{ ppm}$) and volatile organic compounds ($VOCs$, $2.0\text{ ppm}$) were held constant. The rate of $O_3$ concentration accumulation was recorded over a 60-minute period.

Match each experimental component to its correct variable classification.

In the passage below, consider the underlined word:

To calculate longitude at sea, eighteenth-century navigators needed a clock that could keep accurate time despite the constant motion of a ship. Traditional pendulum clocks were rendered useless by rolling ocean waves, which disrupted their delicate mechanisms. Watchmaker John Harrison devoted decades to engineering a solution, eventually creating a compact timepiece that could perpetuate precise timekeeping across months of ocean travel.

Which choice best completes the sentence with the most precise and contextually appropriate word?

During their expedition through the Sonoran Desert, botanists documented several rare, heat-resistant cacti, gathered soil samples, and mapped the local flora. Which of the following options provides the grammatically correct punctuation for the underlined portion?