All practice questions

Evaluate the mathematical expressions below and arrange them in order from least to greatest value.

Simplify each of the following expressions and arrange them in order of their value from least to greatest.

The following sentences are from a paragraph about the invention of the windshield wiper. Arrange the sentences in the most logical order to create a cohesive paragraph that begins with the most effective introduction and ends with the most effective conclusion.

Four distinct quantities are defined by different exponential, radical, or scientific notation expressions. What is the correct order of these quantities from the smallest value to the largest value?

The following sentences are from a paragraph about nurse logs in temperate rainforests. In what order should these sentences be arranged to create the most logical and cohesive paragraph?

In 1912, German meteorologist Alfred Wegener proposed the theory of continental drift, arguing that Earth’s continents were once joined in a single landmass called Pangaea before drifting apart. To support this radical claim, Wegener constructed a multi-layered argument, sequencing distinct categories of geological and biological evidence.

Wegener began his argument with a simple, visual observation: the puzzle-like fit of continental coastlines. He pointed out that the eastern coast of South America and the western coast of Africa appeared as if they could lock together. Recognizing that coastal erosion made this fit imperfect, he refined his observation by comparing the edges of the stable continental shelves rather than the shoreline boundaries, revealing an even more precise match.

To demonstrate that this fit was not coincidental, Wegener next introduced geological evidence. He identified identical rock sequences, mountain ranges, and coal deposits on opposite sides of the Atlantic Ocean. For instance, the Appalachian mountain system of North America lined up perfectly with the Caledonian mountains of Scotland and Scandinavia. Wegener argued that these structures could only have formed continuously if the landmasses were connected.

Wegener then bolstered his theory by citing paleontological data. He pointed to fossil remains of identical species found in locations separated by vast oceans. The Mesosaurus, a freshwater reptile incapable of swimming across saltwater, was found only in eastern South America and western Africa. Wegener argued that these distributions proved the existence of land bridges or, more likely, contiguous continents, as the species could not have crossed the modern Atlantic.

Finally, Wegener incorporated paleoclimatic data, showing that ancient glacial deposits and tropical coal beds lay in regions that currently have incompatible climates. By showing that equatorial regions once experienced glaciation while northern regions were tropical, he argued that the continents had shifted relative to the equator. Although Wegener’s theory was initially rejected because he could not identify the physical mechanism driving the movement, his careful sequencing of diverse evidence laid the groundwork for modern plate tectonics.

Based on the passage, arrange the pieces of evidence Alfred Wegener uses to support his theory of continental drift in the order they are introduced to develop his argument.

Passage

In the summer of 1884, the Scottish meteorologist Clement Wragge began ascending Ben Nevis daily to establish a weather observatory at its summit. Decades before the automated stations of the twentieth century, Wragge's grueling climbs laid the groundwork for modern mountain meteorology. However, his work was only made possible by the trial observations conducted three years earlier by the Meteorological Society. In 1881, the society had erected a temporary shelter on the peak, testing whether instruments could survive the harsh winter. Wragge himself had not been involved in that initial pilot; he was then concluding a meteorological survey in the Australian outback. It was only after his return to Great Britain in late 1882 that the society approached him with the proposal to lead the permanent station. By the time the observatory officially closed in 1904 due to a lack of government funding, Wragge had long since departed for Queensland, where he would go on to name tropical cyclones after local politicians.

Based on the passage, what is the correct chronological order of the following events, from earliest to latest?

Passage

The Settlement Movement and the Foundations of Hull House

In the late nineteenth century, rapid industrialization and urbanization in the United States led to overcrowded cities and widespread poverty among working-class immigrant populations. In Chicago, Illinois, this reality was particularly acute, as thousands of new arrivals sought work in the city's factories and meatpacking plants. It was against this backdrop of social inequality that Jane Addams, a young woman from a wealthy Illinois family, embarked on a mission to bridge the gap between different social classes.

Addams’s journey toward social reform began in earnest in 1883 during a tour of Europe. During her travels, she witnessed the stark contrast between the lives of the wealthy elite and the urban poor. However, the pivotal moment of her journey occurred in 1887 when she visited Toynbee Hall in London's East End. Toynbee Hall was the world's first university settlement house, a place where wealthy university graduates lived and worked alongside local residents in an effort to alleviate poverty and share cultural resources. Inspired by this model, Addams resolved to establish a similar institution in the United States.

Upon returning to Chicago in 1889, Addams and her close friend Ellen Gates Starr began searching for a suitable location in the city's crowded West Side. They eventually located a large, run-down mansion that had been built in 1856 by a wealthy real estate developer named Charles Hull. The mansion, located at the corner of Halsted and Polk Streets, was surrounded by tenements, factories, and saloons, making it the ideal location for a settlement project. Addams and Starr leased the home, which they named Hull House in honor of its original owner, and moved in to begin their work.

In September 1889, Hull House officially opened its doors to the public. Initially, Addams and Starr focused on addressing the immediate practical needs of the neighborhood's immigrant residents. They established a nursery and a kindergarten to care for the young children of working mothers, and they organized social clubs and reading groups for older children and adults. The response from the community was overwhelming, and the house quickly became a bustling center of neighborhood life.

As the needs of the neighborhood grew, so did the facilities of Hull House. In 1891, the settlement house expanded its physical footprint with the construction of the Butler Art Gallery, which provided local residents with access to art exhibitions and lectures. A few years later, in 1893, Hull House added a public playground, which was the first of its kind in the city of Chicago. By 1895, the complex had grown to include a cooperative residence for young working women, known as the Jane Club, which offered affordable housing and a supportive community.

Through its rapid growth, Hull House demonstrated the effectiveness of the settlement house model. Addams and her colleagues did not merely provide charity; they lived as neighbors to those they served, working together to advocate for child labor laws, housing reform, and sanitation improvements. By the early twentieth century, Hull House had evolved from a single rented mansion into a sprawling thirteen-building complex, serving as a national model for social reform and community empowerment.

Based on the passage, arrange the following events in the chronological order in which they occurred, from the earliest to the latest.

Passage

The evolution of the modern bicycle is a story of iterative mechanical improvements designed to increase speed, stability, and rider comfort. The journey began in 1817 when German baron Karl von Drais built a steerable, two-wheeled wooden vehicle. Patented in 1818 as the 'draisienne' (and often called the 'running machine' or 'dandy horse'), this device lacked pedals. Instead, riders sat astride a wooden frame and propelled themselves by pushing their feet against the ground in a walking motion. Although it demonstrated that a rider could balance on two wheels, the physical exertion required to operate it on rough carriage roads limited its widespread adoption.

For decades, the design remained a novelty until the early 1860s in Paris. Carriage makers Pierre and Ernest Michaux modified the design by attaching cranks and pedals directly to the front wheel's axle. This machine, called the 'velocipede,' allowed riders to propel themselves without touching the ground. However, because its frame was made of wrought iron and its wheels were wooden with iron bands, the vehicle transmitted every bump in the road directly to the rider. The resulting rough ride earned the velocipede the popular nickname of the 'boneshaker.'

In the 1870s, British engineers sought to make the bicycle faster. Because the pedals were still directly attached to the wheel axle, the only way to increase speed was to make the drive wheel larger. This led to the creation of the 'ordinary bicycle,' commonly known as the 'high-wheeler' or 'penny-farthing' because its wheels resembled the large penny and small farthing coins of the era. The front wheel grew to diameters of up to five feet, while the rear wheel shrank to a fraction of that size. These bicycles featured solid rubber tires and wire-spoked wheels, which slightly cushioned the ride. However, their high center of gravity made them extremely dangerous; hitting a stone could throw the rider forward over the handlebars in a crash known as a 'header.'

Recognizing the need for a safer design, English inventor John Kemp Starley introduced the Rover Safety Bicycle in 1885. The Rover featured two wheels of nearly equal size and a chain drive mechanism that connected the pedals to the rear wheel. This meant the bicycle could travel fast without requiring a dangerously large front wheel. The final major improvement came in 1888 when Scottish inventor John Boyd Dunlop patented the pneumatic (air-filled) rubber tire for bicycles. Dunlop’s invention replaced the jarring solid rubber tires, providing a smooth ride and securing the bicycle's place as a practical mode of daily transportation.

Based on the passage, in what chronological order did the following developments in bicycle design occur, from earliest to latest?

Read the following passage:

"The morning mist had barely cleared from the valley when Dr. Aris paused beside the sandstone ledge. He brushed away a layer of dried pine needles, revealing the faint, circular indentation he had spent three winters searching for. It was smaller than the footprints described in the expedition's journals, but the deep pressure mark at the heel suggested the creature had been moving at a run. Taking a small brass caliper from his pocket, Aris measured the width across the toe impression, noting the measurements in his leather ledger before applying a thin coat of plaster. As he waited for the mixture to set in the cool air, he looked up at the gathering storm clouds, knowing he would have to work quickly. Only after the plaster had completely dried and was safely wrapped in canvas did he begin the steep climb back to the ridge camp, his pack heavy but his mind finally at ease."

Based on the passage, arrange the following events in the order they occurred, from first to last.

The passage details the conservation and study of an ancient scroll. Based on the implicit chronological cues in the passage, in what order did the events of the scroll's preservation and analysis occur, from first to last?

"The preservation of the ancient Alexandria scroll was a delicate, multi-stage endeavor that required extreme patience from the museum staff. Before the fragile fibers could even be examined under a high-powered microscope, the conservation team spent several days stabilizing the humidity in the vault to prevent the brittle papyrus from crumbling upon contact with the dry air. Once this microclimate was secure, the chief archivist carefully applied a mild, specialized solvent to loosen the hardened ancient adhesive binding the papyrus layers together, which allowed the scroll to be slowly and safely unrolled. Only after the document lay completely flat and chemically stable did the linguistic scholars begin the painstaking process of translating the faint ink inscriptions. The subsequent publication of their translations in a major academic journal finally brought the long-forgotten historical accounts to the attention of the general public, sparking a wave of renewed interest in the ancient library. Throughout each of these phases, the team had to ensure that no step was rushed, as a single miscalculation could have destroyed the artifact forever."

The following passage is adapted from a scientific article on subarctic marine ecosystems.

In the subarctic Pacific, the rise in atmospheric carbon dioxide levels has initiated a subtle but destructive marine cascade. As the ocean absorbs excess carbon dioxide, the pH of the water drops, leading to ocean acidification. This decrease in pH reduces the availability of carbonate ions, which are essential building blocks for calcifying organisms. Consequently, the marine snail *Limacina helicina*, commonly known as the pteropod, struggles to construct and maintain its delicate aragonite shell, leading to widespread shell dissolution and high mortality rates within its populations. Because pteropods are a primary dietary staple for juvenile pink salmon (*Oncorhynchus gorbuscha*), the decline in pteropod density directly limits the nutritional intake of these young fish during their critical early marine residency. Deprived of their primary energy source, juvenile pink salmon suffer from stunted growth and lower survival rates, reducing the overall cohort size that returns to spawn. Ultimately, this depletion of the pink salmon population disrupts the terrestrial ecosystems of the Pacific Northwest, as riparian predators like grizzly bears receive fewer marine-derived nutrients, thereby impairing the nutrient cycle of the surrounding temperate rainforests.

Based on the passage, what is the correct causal sequence of events showing how atmospheric carbon dioxide accumulation ultimately impairs the nutrient cycle of temperate rainforests?

For decades, the standard paradigm in evolutionary biology placed the origins of terrestrial life in shallow, sunlit tidal pools, where solar energy drove the synthesis of prebiotic molecules. However, the discovery of hydrothermal vents in the late twentieth century challenged this view, suggesting that life's inception could have occurred in the deep ocean, far removed from solar radiation. Initially, researchers focused on black smokers—highly acidic vents spewing superheated water rich in sulfides—hypothesizing that the massive thermal gradients could power early biochemical reactions. Yet, critics quickly pointed out that the extreme temperatures (often exceeding 350°C) and high acidity of black smokers would degrade, rather than synthesize, fragile organic molecules like RNA.

This thermodynamic hurdle led to a crucial refinement in the hydrothermal origin theory: the exploration of alkaline hydrothermal vents, such as the Lost City field. Unlike their acidic counterparts, alkaline vents operate at much cooler temperatures (40° to 90°C) and release fluids rich in hydrogen and methane into an acidic, carbon-dioxide-rich ancient ocean. The porous carbonate structures of these vents, honeycombed with microscopic cavities, act as natural inorganic membranes. The physical chemistry of these micro-cavities establishes a proton gradient similar to the electrochemical gradients that power modern cellular respiration. Consequently, the thesis has shifted from a focus on sheer thermal energy to a focus on electrochemical gradients as the primary drivers of prebiotic synthesis, positioning these alkaline structures not just as hosts, but as the active templates for the first metabolic systems.

Based on the passage, arrange the milestones in the structural development of the author's central argument in the order they are introduced and developed, from first to last.

During the Devonian period, the colonization of continental landmasses by early vascular plants dramatically altered the Earth's geosphere. Prior to this botanical invasion, terrestrial surfaces consisted largely of barren rock and primitive microbial crusts, which exerted minimal chemical influence on their substrates. The advent of deep, complex root systems, particularly those of progymnosperms like Archaeopteris, fundamentally changed this dynamic. These extensive root networks physically shattered bedrock and secreted organic acids, which vastly accelerated the rate of silicate weathering. Because the chemical weathering of silicate minerals consumes carbon dioxide from the atmosphere, this biological acceleration precipitated a significant drawdown of global carbon dioxide levels. Consequently, the greenhouse effect weakened, plunging the planet into a series of intense glacial episodes. At the same time, the massive influx of weathered nutrients and organic debris washed into marine environments, triggering widespread eutrophication. This nutrient overload fueled massive algal blooms, the subsequent decomposition of which depleted dissolved oxygen, culminating in catastrophic marine anoxia and the Late Devonian extinction event.

Based on the passage, in what order do the events occurring during the Devonian period causally lead to the onset of global cooling?

The passage details several events in Dr. Harrison's career and research. Read the passage and arrange the events below in chronological order from earliest to latest:

"It was not until the summer of 1994, when Dr. Harrison first unearthed the obsidian seal in the ruins of Carchemish, that the fragmented timeline of the Hittite scribe began to cohere. Years later, in a draft of his memoirs completed just before his retirement in 2018, he recalled the cold autumn evening of 2002 when he had finally decoded the third register of the seal. That evening, as rain lashed against his study window, Harrison was reminded of a warning his mentor, Professor Vance, had delivered during their first joint survey of the Euphrates valley in 1985. Vance had cautioned that the 'scribe of the seals' often recorded events decades after they occurred, muddying the chronological waters. This warning proved prophetic when, in 2012, carbon dating of the organic layer overlying the seal's original strata forced researchers to revise their estimates of the scribe’s active period, placing it much earlier than the 1994 excavation reports had hypothesized."

Passage

When Dr. Julian Thorne first looked at the ice core sample recovered from the Amundsen Sea, he was searching for the telltale ash layers of the 1815 Tambora eruption. However, the unexpected presence of micro-particles of cobalt at the deeper three-hundred-meter mark shifted his focus entirely. This depth corresponded to a period long before industrialization, suggesting an ancient cosmic impact event. To verify this, Julian sent an aliquot of the melted ice to the mass spectrometry lab in Denver. He had only been permitted to access these rare cores after securing the highly competitive polar research fellowship the previous autumn. Now, as he waited for the spectral readouts, Julian pulled up the digitized logbooks of the HMS Challenger from the late nineteenth century. Those early oceanographers had recorded strange, metallic sediment in their dredge buckets, a detail Julian had dismissed as contamination when he first read their reports during his graduate studies. The Denver lab’s automated notification chimed, interrupting his thoughts; the isotopic ratio of the cobalt was indeed non-terrestrial.

Based on the implicit chronological cues in the passage, arrange the following events in the order in which they occurred, from earliest to latest.

Historically, historians believed that the ancient Silk Road was solely a commercial highway for luxury goods like silk and spices. However, recent archaeological findings suggest that its most significant impact was actually the transmission of agricultural technologies.

Initially, excavations revealed that eastern crops, such as rice and peaches, began appearing in western markets much earlier than previously recorded. This discovery challenged the traditional view of the route as a simple merchant path, indicating a deeper ecological exchange. Furthermore, research showed that these crops did not just travel as cargo; instead, farming techniques and irrigation methods were systematically adopted by local communities along the route. Ultimately, this agricultural exchange permanently transformed the diets and farming landscapes of both East Asia and the Mediterranean, establishing the Silk Road as a catalyst for global environmental change rather than a mere trade route.

Based on the passage, what is the correct order of the steps of the author's central argument, from the initial premise to the final conclusion?

In April 1815, Mount Tambora, a volcano in present-day Indonesia, erupted in one of the most powerful volcanic events in recorded history. The cataclysmic blast ejected massive quantities of volcanic ash and sulfur dioxide gas high into the stratosphere. Once in the upper atmosphere, the sulfur dioxide reacted with water vapor to form highly reflective sulfate aerosols. These microscopic aerosols acted like a giant mirror, reflecting incoming solar radiation back into space instead of allowing it to warm the Earth's surface. Consequently, global temperatures plummeted, leading to a phenomenon known as the 'Year Without a Summer' in 1816. The sudden drop in temperature disrupted weather patterns worldwide, causing severe frost and snow in parts of North America and Europe during the summer months. This extreme weather ruined agricultural crops, which ultimately triggered widespread food shortages and economic distress across the Northern Hemisphere. Ultimately, the eruption showed how geological events in one part of the world can trigger a devastating chain of ecological and social consequences across the entire globe.

Based on the passage, in what order do these events occur in the causal chain, starting with the initiating cause and ending with the final consequence?

The following passage explores the scientific origin of homochirality in biological molecules.

For decades, the homochirality of biological molecules—the fact that all living organisms use exclusively left-handed amino acids and right-handed sugars—was considered an insolvable biological mystery, often attributed to mere evolutionary chance. However, contemporary astrobiological research has shifted this paradigm by locating the origins of homochirality in interstellar space.

The foundation of this theory rests on the detection of enantiomeric excesses in carbonaceous meteorites, such as the Murchison meteorite. Organic compounds within these meteorites exhibit a slight excess of left-handed amino acids, suggesting that a bias was established prior to the emergence of life on Earth. Researchers hypothesize that this initial asymmetry was induced by circular polarized light (CPL) from nearby neutron stars in the presolar nebula, which selectively destroyed right-handed molecular precursors.

As these meteorites bombarded the early Earth during the Late Heavy Bombardment, they delivered this prebiotic organic material to the planet's surface. In terrestrial environments, particularly within hydrothermal vents or shallow pools, mineral catalysts like quartz or clays selectively adsorbed these molecules, amplifying the initial microscopic imbalance. Through these autocatalytic chemical networks, the slight asymmetry was driven to completion, culminating in the exclusive homochirality observed in the first self-replicating protocells.

Thus, the molecular preference of terrestrial life is not an arbitrary product of early Earth chemistry, but a legacy of cosmic radiation that shaped prebiotic matter long before Earth itself coalesced.

Based on the passage, in what order does the author develop the central argument that biological homochirality originated in cosmic space rather than on Earth?

Based on the following passage, in what order did the cause-and-effect relationships occur that led to the mass extinction of anaerobic organisms, starting with the earliest cause?

Approximately 2.4 billion years ago, a group of microscopic organisms known as cyanobacteria evolved a novel method of generating energy: oxygenic photosynthesis. Using sunlight, water, and carbon dioxide, these bacteria produced energy along with a new byproduct—molecular oxygen. At the time, Earth's atmosphere was almost entirely devoid of free oxygen, and the oceans were rich in dissolved iron. Initially, the oxygen produced by cyanobacteria reacted immediately with the iron in the water, precipitating out of solution as iron oxide. This process created massive, striped rock formations known as banded iron formations. Eventually, however, the dissolved iron was completely depleted. With no iron left to capture the gas, oxygen began to accumulate in the oceans and subsequently escape into the atmosphere. This sudden rise in atmospheric oxygen, known as the Great Oxidation Event, proved toxic to the dominant anaerobic organisms of the era, leading to one of the Earth's first mass extinctions while simultaneously paving the way for the evolution of complex, oxygen-breathing life.