Reading & Writing Questions
Questions 1–5
Photosynthesis is the process by which green plants facilitate the conversion of light energy into chemical energy. Using sunlight, water, and carbon dioxide, chlorophyll-containing cells produce glucose and oxygen. This fundamental process sustains virtually all life on Earth by providing the organic compounds that form the base of most food chains.
As used in line 1, "facilitate" most nearly means:
hinder
enable
complicate
observe
Explanation
The correct answer is B) enable. In context, photosynthesis is described as a productive process that converts light into chemical energy — a positive function. "Facilitate" means to make something possible or easier. "Enable" is the closest synonym. Choice A ("hinder") and C ("complicate") are opposite in meaning — they describe obstacles, not assistance. Choice D ("observe") describes watching something happen, which does not fit the idea of a process actively producing a result.
The researchers designed the study expecting the results to confirm their original hypothesis about sleep duration and memory retention. ______, the data revealed an unexpected correlation between nap frequency and cognitive flexibility — a finding that redirected the entire research program.
Which choice completes the text with the most logical transition?
Therefore
Similarly
However
Moreover
Explanation
The correct answer is C) However. The first sentence sets up an expectation (results confirming the hypothesis). The second sentence presents an outcome that contradicts that expectation (an unexpected finding). This is a contrast relationship, and "however" is the correct transition for contrast. Choice A ("Therefore") signals a conclusion or result — the unexpected finding is not a logical result of expecting confirmation. Choice B ("Similarly") signals addition of a parallel point. Choice D ("Moreover") signals adding more supporting evidence in the same direction. Both B and D would imply the second sentence agrees with or continues the first, which is the opposite of what happens here.
Urban planners have long argued that increasing tree canopy coverage in cities can meaningfully reduce ambient temperatures in built-up areas, thereby lowering energy consumption and improving public health outcomes.
| City | Tree Canopy Coverage | Avg. Temp. Reduction vs. No-Canopy Areas |
|---|---|---|
| City A | 8% | 0.6°F |
| City B | 22% | 3.1°F |
| City C | 35% | 5.2°F |
| City D | 41% | 6.8°F |
Which choice best uses data from the table to support the urban planners' argument?
City A, which has 8% canopy coverage, shows a temperature reduction of 0.6°F.
City D, with 41% canopy coverage, achieves a 6.8°F reduction — the largest in the dataset — compared to areas with no canopy.
The four cities in the study have canopy coverages ranging from 8% to 41%.
City C and City D both show temperature reductions above 5°F.
Explanation
The correct answer is B. The planners' argument is that higher tree canopy coverage meaningfully reduces city temperatures. The best evidence directly links a high canopy percentage to a large temperature reduction. Choice B highlights City D (41% coverage → 6.8°F reduction), which is the strongest single data point in the table and directly supports the claim. Choice A is the weakest case in the data — it shows a minimal effect. Choice C describes the range of coverages but does not address temperature outcomes at all. Choice D mentions two cities with high reductions but does not connect them to their coverage percentages, weakening the support for the coverage-temperature link.
The experiment lasted three days, [BLANK] the team recorded observations every six hours to track the progression of the reaction under varying temperature conditions.
Which choice completes the text so that it conforms to the conventions of Standard English?
days; during which
days, during which
days. During which
days — during which
Explanation
The correct answer is B) days, during which. The phrase "during which the team recorded observations..." is a relative clause — it is dependent and cannot stand alone as a sentence. Because it is a non-restrictive (additional information) clause, it is introduced with a comma. A semicolon (Choice A) must be followed by an independent clause, but "during which the team recorded..." is not independent. A period (Choice C) creates a fragment — "During which the team recorded observations..." is not a complete sentence. A dash (Choice D) is used for emphasis or an abrupt interruption; a comma is the conventional choice for a relative clause that adds supplementary information.
Early maps were not primarily tools for navigation. In many cultures, they served as political documents, asserting territorial claims and demonstrating the cartographer's patron's power and reach. The act of naming geographic features — rivers, mountains, coastlines — was an act of ownership, embedding cultural authority into the landscape itself. Understanding this political function helps historians interpret why early maps so often distorted distances and relative sizes: accuracy was secondary to representation of power.
Which choice best states the main purpose of the text?
To explain why early cartographers lacked the technology to produce accurate maps.
To argue that all maps are inherently unreliable sources of geographic information.
To describe how early maps functioned as instruments of political authority rather than navigational accuracy.
To compare the mapmaking traditions of different ancient cultures.
Explanation
The correct answer is C. The passage's central argument is introduced in the first sentence ("Early maps were not primarily tools for navigation") and developed throughout: maps as political documents, naming as an act of ownership, and distortion as a result of prioritizing power over accuracy. Choice A is incorrect because the passage never mentions technology — it says accuracy was intentionally secondary. Choice B is too broad and absolute — the passage is about early maps specifically and does not claim all maps are unreliable. Choice D is incorrect because the passage does not compare cultures; it generalizes across cultures to make a point about function.
Math Questions
Questions 6–10
If 3x + 7 = 22, what is the value of 6x?
Student-Produced Response
3x + 7 = 22
3x = 22 − 7
3x = 15
x = 5
6x = 6 × 5 = 30
Explanation
Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5. The question asks for 6x, not x — a common SAT trick. Since x = 5, we have 6x = 6 × 5 = 30. Alternatively, note that 6x = 2(3x) = 2(15) = 30, which avoids solving for x directly.
Consider the following system of equations:
y = 2x + 3
y = −x + 9
What is the value of x + y?
Student-Produced Response
Set equal (both = y):
2x + 3 = −x + 9
3x = 6
x = 2
y = 2(2) + 3 = 7
x + y = 2 + 7 = 9
Explanation
Since both equations are solved for y, set them equal: 2x + 3 = −x + 9. Solving gives 3x = 6, so x = 2. Substitute back: y = 2(2) + 3 = 7. Therefore x + y = 2 + 7 = 9. Always verify: −x + 9 = −2 + 9 = 7. Both equations give y = 7 when x = 2, confirming the solution.
What are the solutions to x² − 5x + 6 = 0?
x = 1 and x = 6
x = −2 and x = −3
x = 2 and x = 3
x = −1 and x = 6
Explanation
The correct answer is C) x = 2 and x = 3.
Factor the quadratic by finding two numbers that multiply to +6 (the constant term) and add to −5 (the coefficient of x). Those numbers are −2 and −3.
x² − 5x + 6 = 0
(x − 2)(x − 3) = 0
x − 2 = 0 → x = 2
x − 3 = 0 → x = 3
Verify: (2)² − 5(2) + 6 = 4 − 10 + 6 = 0 ✓ and (3)² − 5(3) + 6 = 9 − 15 + 6 = 0 ✓
A survey of 200 students found that 45% prefer online learning. How many of the surveyed students prefer in-person learning?
Student-Produced Response
Prefer online = 45% of 200
= 0.45 × 200 = 90 students
Prefer in-person = 200 − 90
= 110 students
(Alternatively: 100% − 45% = 55%; 0.55 × 200 = 110)
Explanation
If 45% prefer online learning, then 100% − 45% = 55% prefer in-person learning. 55% of 200 = 0.55 × 200 = 110 students. Alternatively, 45% of 200 = 90 students prefer online, so 200 − 90 = 110 prefer in-person. Both methods give the same answer.
A circle has a radius of 5. What is its area? (Leave your answer in terms of π, or give the decimal approximation to the nearest hundredth.)
Student-Produced Response
Formula: A = πr²
r = 5
A = π × 5²
A = π × 25
A = 25π ≈ 78.54
Explanation
The area of a circle is A = πr². With r = 5: A = π(5²) = 25π. The SAT provides the formula A = πr² on the reference sheet included with every math module. As a decimal, 25π ≈ 25 × 3.14159 ≈ 78.54. The SAT accepts either exact form (25π) or a rounded decimal. Note: do not confuse area (πr²) with circumference (2πr = 10π ≈ 31.42) — a common mistake when working quickly.
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