Score Leak Diagnostic.

Two 40-minute SAT-style modules. Choose which section to start with.

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Before You Begin

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Read the instructions carefully before starting the diagnostic.

1
Use a quiet place and complete the diagnostic in one sitting.
2
Do not use Desmos for the math section. A normal handheld calculator is enough.
3
Answer based on your current ability so we can find your real score leaks.

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Student Information

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Diagnostic Modules

The diagnostic is structured like the SAT, but shortened into one Math module and one English module. You can start with either section. Try to finish each module as quickly and accurately as possible.

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Choose either module to begin. After submitting one module, you will return here to complete the other.
Module Option

Math

34 medium-hard and hard questions covering algebra, functions, geometry, statistics, probability, percentages, and rates. Try to finish as fast as possible while staying accurate.

Stopwatch timed34 questionsNo Desmos

English

27 typed Reading & Writing questions ordered like a real module: vocabulary, reading, conventions, transitions, and synthesis.

Stopwatch timed27 questions

Math Module

34 questions · Stopwatch tracks your completion time · No Desmos

Time Elapsed00:00
Work through the math questions in order and enter or select your answer under each question.
Please answer every question before submitting this module.
Math Question 1
Equivalent expressions
ID: c81b6c57
Math question 1 from SAT question bank
Math Question 2
Equivalent expressions
ID: 137cc6fd
Math question 2 from SAT question bank
Math Question 3
Equivalent expressions
ID: d8789a4c
Math question 3 from SAT question bank
Math Question 4
Linear equations in one variable
ID: ac472881
Math question 4 from SAT question bank
Math Question 5
Linear equations in one variable
ID: 2937ef4f
Math question 5 from SAT question bank
Math Question 6
Linear equations in one variable
ID: 38bf4e04
Question

A factory makes 9-inch, 7-inch, and 4-inch concrete screws. During a certain day, the number of 9-inch concrete screws that the factory makes is 5 times the number n of 7-inch concrete screws, and the number of 4-inch concrete screws is 22. During this day, the factory makes 100 concrete screws total. Which equation represents this situation?

Math Question 7
Percentages
ID: 1baffbcf
Math question 7 from SAT question bank
Math Question 8
Percentages
ID: 993000da
Math question 8 from SAT question bank
Math Question 9
Probability and conditional probability
ID: d4413871
Math question 9 from SAT question bank
Math Question 10
Probability and conditional probability
ID: 585de39a
Math question 10 from SAT question bank
Math Question 11
Systems of two linear equations in two variables
ID: edc1b7b7
Math question 11 from SAT question bank
Math Question 12
Systems of two linear equations in two variables
ID: 571174f3
Math question 12 from SAT question bank
Math Question 13
One-variable data: Distributions and measures of center and spread
ID: 241f1db7
Math question 13 from SAT question bank
Math Question 14
One-variable data: Distributions and measures of center and spread
ID: bf47ad54
Question

Each of the following frequency tables represents a data set. Which data set has the greatest mean?

Math Question 15
Linear equations in two variables
ID: 686b7244
Math question 15 from SAT question bank
Math Question 16
Linear equations in two variables
ID: 1a1a95de
Math question 16 from SAT question bank
Math Question 17
Linear inequalities in one or two variables
ID: 45cfb9de
Math question 17 from SAT question bank
Math Question 18
Linear inequalities in one or two variables
ID: ee2f611f
Math question 18 from SAT question bank
Math Question 19
Linear functions
ID: 2b15d65f
Math question 19 from SAT question bank
Math Question 20
Two-variable data: Models and scatterplots
ID: e821a26d
Math question 20 from SAT question bank
Math Question 21
Math
ID: 7d721177
Math question 21 from SAT question bank
Math Question 22
Inference from sample statistics and margin of error
ID: 85939da5
Math question 22 from SAT question bank
Math Question 23
Evaluating statistical claims: Observational studies and experiments
ID: 1ea09200
Question

A sample of 40 fourth-grade students was selected at random from a certain school. The 40 students completed a survey about the morning announcements, and 32 thought the announcements were helpful. Which of the following is the largest population to which the results of the survey can be applied?

Math Question 24
Lines, angles, and triangles
ID: 6d99b141
Math question 24 from SAT question bank
Math Question 25
Lines, angles, and triangles
ID: 901c3215
Math question 25 from SAT question bank
Math Question 26
Lines, angles, and triangles
ID: b1e1c2f5
Question

In right triangle ABC, angle C is the right angle and BC = 162. Point D on side AB is connected by a line segment with point E on side AC such that line segment DE is parallel to side BC and CE = 2AE. What is the length of line segment DE?

Math Question 27
Area and volume
ID: 9966235e
Question

A cube has an edge length of 68 inches. A solid sphere with a radius of 34 inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?

Math Question 28
Area and volume
ID: b2528e6b
Math question 28 from SAT question bank
Math Question 29
Area and volume
ID: 1be8b6b2
Question

A right circular cone has a volume of 71,148π cubic centimeters and the area of its base is 5,929π square centimeters. What is the slant height, in centimeters, of this cone?

Math Question 30
Right triangles and trigonometry
ID: 58c26db8
Math question 30 from SAT question bank
Math Question 31
Right triangles and trigonometry
ID: 4c95c7d4
Question
Logo figure for math question 31

A graphic designer is creating a logo for a company. The logo is shown in the figure above. The logo is in the shape of a trapezoid and consists of three congruent equilateral triangles. If the perimeter of the logo is 20 centimeters, what is the combined area of the shaded regions, in square centimeters, of the logo?

Math Question 32
Right triangles and trigonometry
ID: 92eb236a
Math question 32 from SAT question bank
Math Question 33
Circles
ID: 981275d2
Math question 33 from SAT question bank
Math Question 34
Circles
ID: 89661424
Question

A circle in the xy-plane has its center at (−5, 2) and has a radius of 9. An equation of this circle is x² + y² + ax + by + c = 0, where a, b, and c are constants. What is the value of c?

English Module

40 minutes · 27 questions · Ordered like the SAT Reading & Writing module

Time Elapsed00:00
Work through the English questions in order and select one answer for each question.
Please answer every question before submitting this module.
English Question 1
Words in Context
ID: 22a41819
Text
Rejecting the premise that the literary magazine Ebony and Topaz (1927) should present a unified vision of Black American identity, editor Charles S. Johnson fostered his contributors’ diverse perspectives by promoting their authorial autonomy. Johnson’s self-effacement diverged from the editorial stances of W.E.B. Du Bois and Alain Locke, whose decisions for their publications were more ______.
Question

Which choice completes the text with the most logical and precise word or phrase?

English Question 2
Words in Context
ID: 84ece3f6
Text
The following text is adapted from Nathaniel Hawthorne’s 1844 short story “Drowne’s Wooden Image. ”
Drowne, a young man, is carving a wooden figure to decorate the front of a ship. Day by day, the work assumed greater precision, and settled its irregular and misty outline into distincter grace and beauty. The general design was now obvious to the common eye.
Question

As used in the text, what does the word “assumed” most nearly mean?

English Question 3
Words in Context
ID: 1c7fe9be
Text
At the turn of the twentieth century, Black residents of Richmond, Virginia, had few formal options for banking and other financial services. To ______ this situation, Maggie Lena Walker chartered the St. Luke Penny Savings Bank in 1903. The bank went on to provide home loans and savings opportunities to thousands of Black families over the following decades.
Question

Which choice completes the text with the most logical and precise word or phrase?

English Question 4
Central Ideas and Details
ID: d73a908a
Text
Believing that living in an impractical space can heighten awareness and even improve health, conceptual artists Madeline Gins and Shusaku Arakawa designed an apartment building in Japan to be more fanciful than functional. A kitchen counter is chest-high on one side and knee-high on the other; a ceiling has a door to nowhere. The effect is disorienting but invigorating: after four years there, filmmaker Nobu Yamaoka reported significant health benefits.
Question

Which choice best states the main idea of the text?

English Question 5
Central Ideas and Details
ID: 1a2b29c9
Text
The following text is adapted from María Cristina Mena’s 1914 short story “The Vine-Leaf. ”
It is a saying in the capital of Mexico that Dr. Malsufrido carries more family secrets under his hat than any archbishop. The doctor’s hat is, appropriately enough, uncommonly capacious, rising very high, and sinking so low that it seems to be supported by his ears and eyebrows, and it has a furry look, as if it had been brushed the wrong way, which is perhaps what happens to it if it is ever brushed at all. When the doctor takes it off, the family secrets do not fly out like a flock of parrots, but remain nicely bottled up beneath a dome of old and highly polished ivory.
Question

Based on the text, how do people in the capital of Mexico most likely regard Dr. Malsufrido?

English Question 6
Central Ideas and Details
ID: 2fdfe002
Text
The following text is adapted from Countee Cullen’s 1926 poem “Thoughts in a Zoo. ”
They in their cruel traps, and we in ours, Survey each other’s rage, and pass the hours Commiserating each the other’s woe, To mitigate his own pain’s fiery glow. Man could but little proffer in exchange Save that his cages have a larger range. That lion with his lordly, untamed heart Has in some man his human counterpart, Some lofty soul in dreams and visions wrapped, But in the stifling flesh securely trapped.
Question

Based on the text, what challenge do humans sometimes experience?

English Question 7
Command of Evidence
ID: 1f3be847
Text
“Loon Point” is a 1912 poem by Amy Lowell. In the poem, which presents a nighttime scene on a body of water, Lowell describes an element of nature as an active participant in the experience, writing, ______
Question

Which quotation from “Loon Point” most effectively illustrates the claim?

English Question 8
Command of Evidence
ID: ccb1ab92
Graph

Fur Seal REM Sleep on Land after an Extended Period in Water

REM sleep as % of baseline. The mean difference from baseline was not statistically significant.

SealDay 1Day 2
Seal Babout 160%about 90%
Seal Aabout 165%about 160%
Seal Cabout 95%about 110%
Text
Research suggests that REM sleep in animals is homeostatically regulated: animals compensate for periods of REM sleep deprivation by increasing subsequent REM sleep. When on land, fur seals get enough REM sleep, but during the weeks they’re in the water, they get almost none. In a study of fur seals’ sleep habits, researchers recorded the REM sleep (as a percentage of baseline) of fur seals once they had returned to land. They concluded that REM sleep may not be homeostatically regulated in fur seals, citing as evidence the fact that the seals in the study ______
Question

Which choice most effectively uses data from the graph to complete the text?

English Question 9
Inferences
ID: 3cc2eacc
Text
In a study of the mechanisms underlying associative memory—or the ability to learn and remember connections between inherently unrelated things—neuroscientists Kei Igarashi, Jasmine Chavez, and others presented mice with memory tests. The team discovered that fan cells, a type of cell found in the medial temporal lobe of the brain, are necessary for the acquisition of new associative memories. They also found that fan cell activity requires dopamine, a chemical the brain produces in response to pleasure and rewards. Consequently, receiving a reward should likely help to ______
Question

Which choice most logically completes the text?

English Question 10
Inferences
ID: 08395130
Text
The Hubble Space Telescope (HST) is projected to maintain operation until at least 2030, but it has already revolutionized high-resolution imaging of solar-system bodies in visible and ultraviolet (UV) light wavelengths, notwithstanding that only about 6% of the bodies imaged by the HST are within the solar system. NASA researcher Cindy L. Young and colleagues asser t that a new space telescope dedicated exclusively to solar-system observations would permit an extensive survey of minor solar-system bodies and long-term UV observation to discern how solar- system bodies change over time. Young and colleagues’ recommendation therefore implies that the HST ______
Question

Which choice most logically completes the text?

English Question 11
Text Structure and Purpose
ID: 190857f0
Text
Why do sand cats purr but lions roar? Researchers hypothesize that this difference between the two feline species may be partly due to a U- shaped bone in their throats called the hyoid. Sand cats, which are much smaller than lions, have a rigid hyoid that rumbles when the cat’s larynx vibrates, resulting in a purr. By contrast, lions have a somewhat flexible hyoid, and the bone is attached to the skull with a stretchy ligament that sand cats lack. These traits allow lions and most other species of big cats to produce powerful roars. The same traits may also prevent most big cats from purring.
Question

Which choice best describes the overall structure of the text?

English Question 12
Text Structure and Purpose
ID: f61c22f3
Text
Changes to vegetation cover and other human activities influence carbon and nitrogen levels in soil, though how deep these effects extend is unclear. Hypothesizing that differences in land use lead to differences in carbon and nitrogen levels that are not restricted to the topsoil layer (0– 30 cm deep), Chukwuebuka Okolo and colleagues sampled soils across multiple land-use types (e.g., grazing land, cropland, forest) within each of several Ethiopian locations. They found, though, that across land-use types, carbon and nitrogen decreased to comparably low levels beyond depths of 30 cm.
Question

Which choice best describes the overall structure of the text?

English Question 13
Text Structure and Purpose
ID: cf9a00e0
Text
Chile’s Atacama Deser t is one of the driest places on Earth. Mary Beth Wilhelm and other astrobiologists search for life, or its remains, in this harsh place because the desert closely mirrors the extreme environment on Mars. The algae and bacteria found in Atacama’s driest regions may offer clues about Martian life. By studying how these and other microorganisms survive such extreme conditions on Earth, Wilhelm’s team hopes to determine whether similar life might have existed on Mars and to develop the best tools to look for evidence of it.
Question

Which choice best describes the function of the underlined sentence in the text as a whole?

English Question 14
Cross-Text Connections
ID: faee8ec7
Texts
Text 1
It seems clearthat emotional contagion (the unintentional transfer of an emotional state from one person to another) requires physical interaction and the observation of body language. After all, research shows that talking to someone who is smiling and expressing positive feelings often causes people to respond in a comparably positive way. Similarly, displays of nervous fidgeting have been found to prompt others to begin behaving more nervously, too.
Text 2
In an experiment using a social networking service, Zeyao Yang and Emilio Ferrara found evidence of emotional contagion in text-based online interactions. The researchers discovered that reading social media posts that expressed a positive outlook led people to make more positive posts themselves, while posts with a negative emotional tone led people to make more negative posts.
Question

Based on the texts, what would the researchers in Text 2 most likely say about the claim underlined in Text 1?

English Question 15
Cross-Text Connections
ID: c885c38b
Texts
Text 1
Conventional wisdom long held that human social systems evolved in stages, beginning with hunter-gatherers forming small bands of members with roughly equal status. The shift to agriculture about 12,000 years ago sparked population growth that led to the emergence of groups with hierarchical structures: associations of clans first, then chiefdoms, and finally, bureaucratic states.
Text 2
In a 2021 book, anthropologist David Graeber and archaeologist David Wengrow maintain that humans have always been socially flexible, alternately forming systems based on hierarchy and collective ones with decentralized leadership. The authors point to evidence that as far back as 50,000 years ago some hunter-gatherers adjusted their social structures seasonally, at times dispersing in small groups but also assembling into communities that included esteemed individuals.
Question

Based on the texts, how would Graeber and Wengrow (Text 2) most likely respond to the “conventional wisdom” presented in Text 1?

English Question 16
Boundaries
ID: a9e5b788
Text
In discussing Mary Shelley’s 1818 epistolary novel Frankenstein, literary theorist Gayatri Spivak directs the reader’s attention to the character of Margaret Saville. As Spivak points out, Saville is not the protagonist of Shelley’s ______ as the recipient of the letters that frame the book’s narrative, she’s the “occasion” of it.
Question

Which choice completes the text so that it conforms to the conventions of Standard English?

English Question 17
Boundaries
ID: a3e87535
Text
Julia Alvarez’s 1994 novel In the Time of the Butterflies, a fictionalized account of the lives of the Mirabal ______ can serve as a starting point for those wanting to explore how the rule of dictator Rafael Trujillo has been represented in Dominican American literature.
Question

Which choice completes the text so that it conforms to the conventions of Standard English?

English Question 18
Boundaries
ID: 13fcf575
Text
Roughly 300 nights a year, when the cold air descending from the Andes Mountains meets the warm air rising from Venezuela’s coastal Lake Maracaibo, the result is a spectacular lightning storm, its strikes so bright, so localized, and so ______ that it has become known as “Maracaibo’s Lighthouse. ”
Question

Which choice completes the text so that it conforms to the conventions of Standard English?

English Question 19
Form, Structure, and Sense
ID: 37e5c794
Text
Despite being cheap, versatile, and easy to produce, ______ they are made from nonrenewable petroleum, and most do not biodegrade in landfills.
Question

Which choice completes the text so that it conforms to the conventions of Standard English?

English Question 20
Form, Structure, and Sense
ID: 2c49940e
Text
French philosopher René Descartes doubted whether he could prove his own existence. Eventually, he found proof in his famous phrase “I think, therefore I am. ” The ______ complexity: only those who exist would be able to ponder their existence.
Question

Which choice completes the text so that it conforms to the conventions of Standard English?

English Question 21
Form, Structure, and Sense
ID: 908a76b8
Text
When a given industry—water and electricity are two well-known examples—carries high infrastructural start-up costs and other barriers that discourage competition, ______ of just one or two suppliers per municipality. Such industries are known as natural monopolies.
Question

Which choice completes the text so that it conforms to the conventions of Standard English?

English Question 22
Form, Structure, and Sense
ID: ae439895
Text
In her 1983 book The Managed Heart: Commercialization of Human Feeling, sociologist Arlie Russell Hochschild first explored at length her conception of a “sociology of emotions”—the idea that the various cultural and ideological frameworks a person has internalized (class, gender, political affiliation, etc.) ______ each emotional reaction that person has within a situation.
Question

Which choice completes the text so that it conforms to the conventions of Standard English?

English Question 23
Transitions
ID: 3fd0ab63
Text
Voting members of the 2002 Latin Grammys were impressed by Banda Cuisillos’s album Puras Rancheras Con Cuisillos and its contribution to the banda genre, a form of regional Mexican music featuring large ensembles of wind instruments and drums that first developed in southern and central Mexico in the mid-nineteenth century. ______ they awarded the group the Best Banda Album award. Which choice completes the text with the most logical transition?
Question

Which choice best answers the question?

English Question 24
Transitions
ID: 29ae4d48
Text
In the early 1970s, Alber t Popa took up graffiti art, spraying his work onto what was at the time an unconventional surface: concrete. ______ Alber t’s son David has chosen an unusual canvas for his new art project, Fractured. In this remarkable work, the artist draws charcoal faces onto fragmented ice floes in Finland, creating the visual effect of a face slowly fracturing. Which choice completes the text with the most logical transition?
Question

Which choice best answers the question?

English Question 25
Transitions
ID: 9dc4e640
Text
The mineral mtorolite is most commonly found in Zimbabwe. Mtorolite is cryptocrystalline, meaning that its crystalline structure is so fine that the individual crystals cannot be distinguished by the naked eye or even under a microscope. The crystals in microcrystalline minerals are also not visible to the naked eye; ______ they can usually be seen under a microscope. Which choice completes the text with the most logical transition?
Question

Which choice best answers the question?

English Question 26
Rhetorical Synthesis
ID: 23da9791
Student Notes
While researching a topic, a student has taken the following notes:
  • Scientists have long sought to determine the origin of glass in Chile’s Atacama Deser t.
  • A 2017 study concluded that ancient grass fires had melted the area’s sandy soil into glass.
  • In 2021, a different study revealed that the mineral signatures of glass samples were consistent with the mineral signatures of comet samples collected by NASA.
  • That study concluded that the glass had formed as a result of a cometary explosion close to the desert’s surface.
Question

The student wants to describe how scientific understanding about the glass’s origin has evolved. Which choice most effectively uses relevant information from the notes to accomplish this goal?

English Question 27
Rhetorical Synthesis
ID: 2c61e0b9
Student Notes
While researching a topic, a student has taken the following notes:
  • British musicians John Lennon and Paul McCartney shared writing credit for numerous Beatles songs.
  • Many Lennon-McCartney songs were actually written by either Lennon or McCartney, not by both.
  • The exact authorship of specific parts of many Beatles songs, such as the verse for “In My Life, ” is disputed.
  • Mark Glickman, Jason Brown, and Ryan Song used statistical methods to analyze the musical content of Beatles songs.
  • They concluded that there is 18.9% probability that McCartney wrote the verse for “In My Life, ” stating that the verse is “consistent with Lennon’s songwriting style.
Question

The student wants to make a generalization about the kind of study conducted by Glickman, Brown, and Song. Which choice most effectively uses relevant information from the notes to accomplish this goal?

Diagnostic Results

Your diagnostic has been graded. Use this as the starting point for finding your main score leaks before the advanced course begins.

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Estimated Diagnostic Score
Score estimate based on this custom diagnostic.
English Score
Math Score

Score Leak Summary

Questions Missed
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Completion
A full solution recording will be uploaded for review.
Time taken: Math — · English —
How this was scored: Each section is converted to an estimated 200–800 score using your percentage correct on that module, then rounded to the nearest 10. Your total is English + Math out of 1600.

Missed Question Review

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