SAT Practice Test #5 Definitive Study Guide

General Test Overview and Composition

The SAT Practice Test #5 is a comprehensive study resource designed for students preparing for the digital version of the SAT. It consists of four primary modules: two Reading and Writing modules and two Math modules. Each module has specific timing and content requirements designed to assess a student's readiness for university-level academics. The Reading and Writing modules each contain 33 questions with a 39-minute time limit per module. The Math modules consist of 27 questions each, with 43 minutes allotted per module. A mandatory 10-minute break is scheduled between the Reading and Writing and Math sections. Calculations are permitted throughout the Math section as specified by the College Board.

Reading and Writing Module 1: Literary Analysis and Vocabulary

The first module begins with context-dependent vocabulary and literary purpose questions. Notable texts include "The King's Coin" (1913) by Emily Pauline Johnson ($Tekahionwake$), where the term "trace" describes evidence left by fur traders guided by a young Ojibwe man named Fox-Foot. In ancient sculpture, the term "fragile" is used to describe the delicate nature of noses on stone heads. Scientific passages discuss the Sun’s corona and "impending" solar flares, as researched by K.D. Leka, and the "exploiting" of internal magnetic fields in metal pipes by engineer Aroba Saleem to monitor structural stress.

Social science passages address behavioral psychology's reliance on unrepresentative student pools, a situation researchers seek to "ameliorate" through diverse recruitment. Main purpose questions involve Jean Webster’s 1912 novel "Daddy-Long-Legs," where the narrator explains her basketball potential, and a historical account of Spanish-language journalism in Texas, highlighting El Paso's production of twenty-two newspapers between 1890 and 1900. Additionally, Mary Beth Wilhelm’s research in the Atacama Desert is highlighted for its role in identifying clues for life on Mars due to the desert's extreme environment.

Reading and Writing Module 1: Scientific Research and Evidence

This section includes complex data analysis and logic problems. Erick Guerra et al. are cited for their research on Mexico City’s transit system, arguing that ridership is influenced by an "irreducibly contextual dimension" including population density and job distribution, rather than just low fares. Research by Chukwuebuka Okolo on Ethiopian soil found that while human activity impacts carbon and nitrogen levels in topsoil (0–30\,\t{cm}), these levels decrease to comparably low levels beyond that depth regardless of land use. Seismic data from NASA’s InSight lander revealed that all marsquakes originated from the same location, suggesting active magma flows rather than global cooling effects.

Historical and literary evidence questions utilize Anton Chekhov’s 1889 story "The Bet," focusing on a banker’s emotional distress, and Charlotte Perkins Gilman’s 1892 story "The Yellow Wallpaper," regarding the narrator's mixed feelings about her room. De-extinction studies are discussed using a species table including the Huia ($Heteralocha\,acutirostris$, extinct 1907), Caribbean monk seal ($Monachus\,tropicalis$, extinct 1952), Passenger pigeon ($Ectopistes\,migratorius$, extinct 1914), Saber-toothed cat ($Smilodon$, extinct 11,000 years ago), and Woolly mammoth ($Mammuthus\,primigenius$, extinct 6,400 years ago). The research of Rodrigo da Costa Portilho-Ramos suggests that ocean oxygenation (measured by the manganese-to-calcium ratio) influenced the decline of coral ($Lophelia\,pertusa$) in the Alboran Sea 9,000 years ago but not near the Mauritanian coast 11,000 years ago.

Reading and Writing Module 1: Grammar, Synthesis, and Transitions

Standard English conventions are tested through various contexts. Examples include transitions like "Conversely" to distinguish Duverger’s law (two-party systems) from multi-partyism in proportional-representation systems. Synthesis questions involve Maria Martinez’s reduction firing technique for all-black pottery and the discovery that the painting "Marie Joséphine Charlotte du Val d’Ognes" was by Marie-Denise Villers ($1774–1821$), not Jacques-Louis David. Research notes cover the "freeze-thaw" battery using molten salt to retain $92\%$ of its charge after twelve weeks and the US Fish and Wildlife Service (FWS) classification of the California red-legged frog ($Rana\,draytonii$) as a threatened species.

Reading and Writing Module 2: Vocabulary and Narrative Structure

The second module explores nuance in language, such as the phrase "reaching across to" in Elizabeth von Arnim’s "The Enchanted April" (1922) and the ability to "obtain" information from fossils in Gulgong, Australia. Neuroeconomic studies from the University of Zurich suggest choice speed is linked to information flow between the prefrontal and parietal cortex. Historical analysis notes the "tenuous" place of the War of 1812 in British memory. Jerome K. Jerome’s "Three Men in a Boat" (1889) is used to illustrate character boasting through Harris’s anecdotes of seafaring resilience.

Research methodology is scrutinized through Evelyne Huebscher’s work on fiscal austerity, where researchers suggest governments strategically implement cuts to avoid electoral costs. Literary theory is explored via Mikhail Bakhtin’s critique of the terms "fabula" (narrative content) and "syuzhet" (arrangement of events), using "The Godfather Part II" as an example. Further scientific data involves Mariana Nery’s 2023 study on whale evolution and body size genes, and Julia Alvarez’s novel "In the Time of the Butterflies," which depicts the Mirabal sisters under dictator Rafael Trujillo.

Reading and Writing Module 2: Data Synthesis and Environmental Studies

Students must interpret complex tables and graphs, such as Geeta Persad’s simulations on precipitation concentration and aquifer input, where baseline concentration dictates sensitivity to irrigation needs. Forest research by Inés Ibáñez shows that moderate anthropogenic nitrogen deposition could offset the negative growth impacts of climate change on sugar maple trees. Historical scholarship mentions Abu Rayhan al-Biruni, who theorized in 1037\,\t{CE} that a landmass existed between Europe and Asia. Physical science notes contrast first-class and second-class levers and compare seismic primary waves (P\,\t{waves}) and secondary waves (S\,\t{waves}) which both cause ground movement despite different speeds and directions.

Math Module 1: Linear and Nonlinear Systems

Math Module 1 covers algebraic foundations and geometry. Problem types include systems of equations, such as finding the solution for $s + 7r = 27$ when $r = 3$, resulting in $(3, 6)$. A nonlinear system involves $y = 4x$ and $y = x^2 - 12$, requiring the solution for $x > 0$. Geometric tasks include calculating the volume of a right circular cylinder with a base diameter of 22\,\t{cm} and a height of 6\,\t{cm}. The radius $r$ is 11\,\t{cm}, and the volume $V$ is given by:

V = \pi \times (11)^2 \times 6 = 726\pi\,\t{cm}^3

Trigonometric evaluations include $\tan(\frac{29\pi}{3})$, which simplifies through the periodicity of the tangent function to $\tan(\frac{5\pi}{3})$, yielding $\sqrt{3}$. Coordinate geometry problems include finding a point on a circle defined by $(x + 4)^2 + (y - 19)^2 = 121$. The radius is $11$, so the x-coordinates must fall within the range $[-15, 7]$.

Math Module 1: Modeling and Advanced Algebra

Advanced problems include function definition and interpretation. For example, a right rectangular prism has a height of 9\,\t{inches} and a base length $x$ that is 7\,\t{inches} more than the width ($w = x - 7$). The volume function is:

$V(x) = 9 \times x \times (x - 7)$

Percentage problems involve finding the original value $x$ when increasing it by $400\%$ results in $60$. This is expressed as $x + 4.00x = 5x = 60$, meaning $x = 12$. Polynomial analysis includes function $g(x) = x(x - 2)(x + 6)^2$. If $g(7 - w) = 0$, the possible values for $(7 - w)$ are the roots $0$, $2$, and $-6$. Solving for $w$:

$7 - w = 0 \rightarrow w = 7$

$7 - w = 2 \rightarrow w = 5$

$7 - w = -6 \rightarrow w = 13$

The sum of those values is $7 + 5 + 13 = 25$.

Math Module 2: Applied Problem Solving

Module 2 emphasizes practical math application. Questions include interpreting $\text{x-intercepts}$ in projectile motion, such as a diver hitting the water at 1.6\,\t{seconds}. Kinetic energy is modeled by $K(v) = \frac{9}{2}v^2$, where $K(34) = 5202$ means an object at 34\,\t{m/s} has 5202\,\t{Joules} of energy. Geometry problems involve calculating surface area of containers without lids, such as a cubic box with edges of 29\,\t{inches}. Since it has no lid, there are 5 faces:

\text{Area} = 5 \times (29)^2 = 5 \times 841 = 4205\,\t{sq\,in}

Statistical comparisons involve the mean of turtle egg data sets when a new outlier (121\,\t{eggs}) is added to an original set (Nests A-E: $149, 144, 148, 136, 139$). The original mean is $\frac{716}{5} = 143.2$, and the new mean is $\frac{837}{6} = 139.5$, showing the original mean is greater.

Math Module 2: Complex Geometry and Modeling

Final challenges involve coordinate geometry and physics-based modeling. A city population model $P(t) = 260(1.04)^{\frac{6}{4}t}$ predicts a $4\%$ increase every $n$ months. The exponent represents the number of compounding periods. Setting the exponent to $1$ for a $4\%$ increase:

$\frac{6}{4}t = 1 \rightarrow t = \frac{4}{6}\,\text{years}$

$n = \frac{4}{6} \times 12 = 8\,\text{months}$

Electric flux calculations involve a surface of two adjacent squares. If the large square's side length is three times the small square's, its area is $3^2 = 9$ times larger. Given total flux is $4640\,\text{volts}\cdot\text{m}$, let the small flux be $x$ and large flux be $9x$:

$x + 9x = 10x = 4640$

$x = 464$

$\text{Flux through large square} = 9 \times 464 = 4176\,\text{volts}\cdot\text{m}$