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SAT Diagnostic
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Question 1 of 15
| Information and Ideas
· Level 1
Which choice best describes the narrator's view of his expedition to the North Pole?
A
Immoral but inevitable
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B
Absurd but necessary
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C
Socially beneficial but misunderstood
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D
Scientifically important but hazardous
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Question 2 of 15
| Statistics
· Level 1
Nick surveyed a random sample of the freshman class of his high school to determine whether the Fall Festival should be held in October or November. Of the \(90\) students surveyed, \(25.6%\) preferred October. Based on this information, about how many students in the entire \(225\)-person class would be expected to prefer having the Fall Festival in October?
A
\(50\)
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B
\(60\)
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C
\(75\)
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D
\(80\)
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Question 3 of 15
| Algebra
· Level 2
Student-produced response directions
If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
Answer
Acceptable entry
3.5
3.5 · 3.50 · 7/2
2/3
2/3 · .6666 · .6667 · 0.666 · 0.667
-1/3
-1/3 · -.3333 · -0.333
\(f(x) = 7x + 1\)
The function gives the total number of people on a company retreat with \(x\) managers. What is the total number of people on a company retreat with 7 managers?
Answer:
Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.
Question 4 of 15
| Algebra
· Level 2
The system of equations \(\dfrac{1}{2}y = 4x - 1\) and \(\dfrac{1}{2}y = 2\) has solution \((x, y)\). What is the value of \(x\) ?
A
\(3\)
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B
\(\dfrac{7}{2}\)
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C
\(4\)
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D
\(6\)
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Question 5 of 15
| Algebra
· Level 3
In the equation \(\dfrac{a}{b} = \dfrac{a}{c}\) above, if \(a\) is negative and \(b\) is positive, which of the following must be true?
A
\(c > 1\)
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B
\(c = 1\)
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C
\(c = -1\)
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D
\(c < -1\)
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Question 6 of 15
| Ratios, Rates and Percentages
· Level 3
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table gives the growth factors for eight species of trees: Red maple \(4.5\), River birch \(3.5\), Cottonwood \(2.0\), Black walnut \(4.5\), White birch \(5.0\), American elm \(4.0\), Pin oak \(3.0\), Shagbark hickory \(7.5\). According to the information in the table, what is the approximate age of an American elm tree with a diameter of \(12\) inches?
A
\(24\) years
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B
\(36\) years
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C
\(40\) years
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D
\(48\) years
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Question 7 of 15
| Craft and Structure
· Level 3
As used in line 4, “state” most nearly refers to a
A
style of living.
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B
position in life.
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C
temporary condition.
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D
political entity.
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Question 8 of 15
| Information and Ideas
· Level 3
"The Young Girl" is a 1920 short story by Katherine Mansfield. In the story, the narrator takes an unnamed seventeen-year-old girl and her younger brother out for a meal. In describing the teenager, Mansfield frequently contrasts the character's pleasant appearance with her unpleasant attitude, as when Mansfield writes of the teenager, ______
Which quotation from "The Young Girl" most effectively illustrates the claim?
A
"I heard her murmur, 'I can't bear flowers on a table.' They had evidently been giving her intense pain, for she positively closed her eyes as I moved them away."
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B
"While we waited she took out a little, gold powder-box with a mirror in the lid, shook the poor little puff as though she loathed it, and dabbed her lovely nose."
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C
"I saw, after that, she couldn't stand this place a moment longer, and, indeed, she jumped up and turned away while I went through the vulgar act of paying for the tea."
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D
"She didn't even take her gloves off. She lowered her eyes and drummed on the table. When a faint violin sounded she winced and bit her lip again. Silence."
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Question 9 of 15
| Craft and Structure
· Level 4
Which choice best describes how Burke would most likely have reacted to Paine’s remarks in the final paragraph of Passage 2?
A
With approval, because adapting to new events may enhance existing partnerships.
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B
With resignation, because changing circumstances are an inevitable aspect of life.
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C
With skepticism, because Paine does not substantiate his claim with examples of governments changed for the better.
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D
With disapproval, because changing conditions are insufficient justification for changing the form of government.
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Question 10 of 15
| Advanced Math
· Level 4
\(\dfrac{14x}{7y} = 2 \sqrt{w + 19}\)
The given equation relates the distinct positive real numbers \(w\), \(x\), and \(y\). Which equation correctly expresses \(w\) in terms of \(x\) and \(y\)?
A
\(w = \sqrt{\dfrac{x}{y}} - 19\)
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B
\(w = \sqrt{\dfrac{28x}{14y}} - 19\)
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C
\(w = \left(\dfrac{x}{y}\right)^2 - 19\)
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D
\(w = \left(\dfrac{28x}{14y}\right)^2 - 19\)
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Question 11 of 15
| Advanced Math
· Level 4
\(f(x) = 5470(0.64)^{\dfrac{x}{12}}\)
The function \(f\) gives the value, in dollars, of a certain piece of equipment after \(x\) months of use. If the value of the equipment decreases each year by \(p\)% of its value the preceding year, what is the value of \(p\)?
A
4
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B
5
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C
36
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D
64
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Question 12 of 15
| Geometry
· Level 5
Two identical rectangular prisms each have a height of 90 centimeters (cm). The base of each prism is a square, and the surface area of each prism is \(K\) cm\({}^2\). If the prisms are glued together along a square base, the resulting prism has a surface area of \(\dfrac{92}{47} K\) cm\({}^2\). What is the side length, in cm, of each square base?
A
4
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B
8
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C
9
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D
16
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Question 13 of 15
| Information and Ideas
· Level 5
Which choice best supports the claim that Quilotoa was not responsible for the Little Ice Age?
A
Lines 3-4 ("Identifying . . . tricky")
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B
Lines 26-28 ("Such a . . . cooling")
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C
Lines 43-46 ("The researchers . . . atop the volcano")
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D
Lines 71-75 ("But . . . closer match")
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Question 14 of 15
| Expression of Ideas
· Level 5
While researching a topic, a student has taken the following notes:
- The *Atlantic Monthly* magazine was first published in 1857.
- The magazine focused on politics, art, and literature.
- In 2019, historian Cathryn Halverson published the book *Faraway Women and the "Atlantic Monthly."*
- Its subject is female authors whose autobiographies appeared in the magazine in the early 1900s.
- One of the authors discussed is Juanita Harrison.
The student wants to introduce Cathryn Halverson's book to an audience already familiar with the *Atlantic Monthly*. Which choice most effectively uses relevant information from the notes to accomplish this goal?
A
Cathryn Halverson's *Faraway Women and the "Atlantic Monthly"* discusses female authors whose autobiographies appeared in the magazine in the early 1900s.
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B
A magazine called the *Atlantic Monthly*, referred to in Cathryn Halverson's book title, was first published in 1857.
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C
*Faraway Women and the "Atlantic Monthly"* features contributors to the *Atlantic Monthly*, first published in 1857 as a magazine focusing on politics, art, and literature.
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D
An author discussed by Cathryn Halverson is Juanita Harrison, whose autobiography appeared in the *Atlantic Monthly* in the early 1900s.
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Question 15 of 15
| Information and Ideas
· Level 5
According to figure 1, in 2017, the cost of which of the following fuels is projected to be closest to the 2009 US average electricity cost shown in figure 2?
A
Natural gas
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B
Wind (onshore)
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C
Conventional coal
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D
Advanced nuclear
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Graphing Calculator
Reference Sheet
Area & Circumference
Circle$A = \pi r^2$, $C = 2\pi r$
Rectangle$A = lw$
Triangle$A = \tfrac{1}{2}bh$
Trapezoid$A = \tfrac{1}{2}(b_1+b_2)h$
Volume
Box$V = lwh$
Cylinder$V = \pi r^2 h$
Sphere$V = \tfrac{4}{3}\pi r^3$
Cone$V = \tfrac{1}{3}\pi r^2 h$
Pyramid$V = \tfrac{1}{3}lwh$
Triangles
Pythagorean Thm$a^2 + b^2 = c^2$
30-60-90sides: $1,\, \sqrt{3},\, 2$
45-45-90sides: $1,\, 1,\, \sqrt{2}$
Triangle Anglessum $= 180°$
Other Facts
Circle Degrees$360° = 2\pi \text{ rad}$
Exterior Angle= sum of non-adjacent interior angles
The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is $2\pi$.
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