Scholar Tests · Set 3
ACT practice test, Grade 11
Name ______________________ Date ____________
English
Circle the letter of the best answer. About 7 minutes.
The Woman Who Measured the Stars
In the 1890s, a young woman named Henrietta Swan Leavitt began working at the Harvard College Observatory, where she first came as an unpaid volunteer. She joined a group of women known as "computers," whose job was to examine glass photographic plates of the night sky. Each of the women were [1] expected to record the position and brightness of the many stars on a single plate. [2] The pay was low, but Leavitt had the patience and the sharp eye that the work demanded.
Leavitt was assigned to study variable stars, which brighten and dim over time. Many of the stars she examined lay [3] in the Small Magellanic Cloud, a hazy patch of sky best seen from the Southern Hemisphere. The plates had been taken at a Harvard station in Peru. [4] Comparing plate after plate, often checking a single star on dozens of them, she cataloged more than a thousand variable stars.
Among these stars was a group now called Cepheid variables. The brightness of a Cepheid rises and falls in a steady rhythm, repeating every few days or weeks. Leavitt noticed a striking pattern: the [5] brighter a Cepheid appeared, the longer it took to complete one cycle of brightening and dimming. Because the stars in the Small Magellanic Cloud are all roughly the same distance from Earth. Leavitt [6] reasoned that the brighter ones truly gave off more light. In 1912, she published her findings, and they were a really big deal [7].
Leavitt's discovery gave astronomers a way to measure distances, which are how far apart things are, [8] across space. If a Cepheid's cycle reveals how bright it truly is, then comparing that with how bright it looks from Earth shows how far away it must be. Cepheids could serve, in effect, as mileposts scattered across the sky. Instead, [9] in the 1920s, Edwin Hubble used Cepheids in the Andromeda galaxy to show that it lay far outside our own Milky Way. Hubble went on to have a long and celebrated career. [10]
1.Underlined part [1]: Each of the women were
Which choice makes the sentence grammatically acceptable?- ANO CHANGE
- BEach of the women was
- CEach of the women have been
- DAll of the women was
- 2.
At [2] in the essay:
The writer is considering adding the following sentence here: "On many plates, the stars appeared as tiny dark dots, some barely larger than a speck of dust." Should the writer make this addition here?- AYes, because it explains why the women were called computers.
- BNo, because it distracts from the paragraph's focus on how much the women were paid.
- CNo, because it repeats the information that the plates were made of glass.
- DYes, because it helps show why the work demanded a sharp eye.
- 3.
Underlined part [3]: lay
Which choice makes the sentence grammatically acceptable?- ANO CHANGE
- Blaid
- Clayed
- Dlied
- 4.
Underlined part [4]: The plates had been taken at a Harvard station in Peru.
The writer is considering deleting the underlined sentence. Should the writer make this deletion?- ANo, because it explains how a scientist in Massachusetts could study stars best seen from the Southern Hemisphere.
- BNo, because it explains why the women at the observatory were paid so little.
- CYes, because it adds information about Peru that has nothing to do with Leavitt's work.
- DYes, because it contradicts the earlier statement that Leavitt worked at Harvard.
- 5.
Underlined part [5]: pattern: the
Which choice makes the sentence grammatically acceptable?- ANO CHANGE
- Bpattern; that the
- Cpattern, the
- Dpattern the
- 6.
Underlined part [6]: Earth. Leavitt
Which choice makes the sentence grammatically acceptable?- ANO CHANGE
- BEarth, and Leavitt
- CEarth; Leavitt
- DEarth, Leavitt
- 7.
Underlined part [7]: and they were a really big deal
Which choice best maintains the formal tone of the essay?- ANO CHANGE
- Band boy, were they ever important
- Cwhich described what astronomers now call the period-luminosity relation
- Dwhich were pretty much a game changer
- 8.
Underlined part [8]: distances, which are how far apart things are,
Which choice is the most concise without losing meaning?- ANO CHANGE
- Bdistances
- Cdistances, meaning how far away things are,
- Ddistances, or how far things lie from each other,
- 9.
Underlined part [9]: Instead,
Which transition is most logical here?- ANO CHANGE
- BBuilding on her work,
- CEven so,
- DIn contrast,
- 10.
Underlined part [10]: Hubble went on to have a long and celebrated career.
Which choice most effectively concludes the essay by returning to its main subject?- ANO CHANGE
- BLeavitt died in 1921, a few years before her careful work helped reveal how vast the universe is.
- CTelescopes have grown much larger since the 1920s.
- DThe Andromeda galaxy can be seen without a telescope on very dark nights.
Math
Circle the letter of the best answer. About 11 minutes.
- 1.
How is 0.00012 written in scientific notation?
- A1.2 × 10⁻³
- B1.2 × 10⁻⁵
- C1.2 × 10⁻⁴
- D12 × 10⁻⁵
- 2.
A deli sells almonds for $12 per pound. How much do 20 ounces of almonds cost? (1 pound = 16 ounces)
- A$9.60
- B$15.00
- C$20.00
- D$240.00
- 3.
Each list shows the points of a function. Which function is linear?
- A(0, −3), (1, −2), (2, 1), (3, 6)
- B(0, −3), (1, 1), (2, −1), (3, 3)
- C(0, −3), (1, 0), (2, 3), (3, 6)
- D(0, −2), (1, −1), (2, 1), (3, 5)
- 4.
Vectors u = ⟨−4, −3⟩ and v = ⟨−5, 6⟩. What is 4u + v?
- A⟨−21, −6⟩
- B⟨−9, 3⟩
- C⟨−11, −18⟩
- D⟨−36, 12⟩
- 5.
Write 160° in radians, correct to 3 significant digits.
- A1.40 radians
- B2.79 radians
- C91.7 radians
- D9170 radians
- 6.
The numbers of minutes 5 students took to walk to school were 7, 28, 20, 10, 24. Find the standard deviation, correct to 3 significant digits.
- A8.06
- B9.01
- C21
- D65.0
- 7.
−2x − 4y = 10
5x − 2y = −13
If (x, y) is the solution of the system of equations above, what is the value of x?- A−4
- B−3
- C−1
- D3
- 8.
Which set of side lengths makes a right triangle?
- A7 yd, 24 yd, 26 yd
- B8 yd, 24 yd, 25 yd
- C7 yd, 24 yd, 30 yd
- D7 yd, 24 yd, 25 yd
- 9.
If f(x) = x² − 5, what is the value of f(f(4))?
- A11
- B22
- C116
- D121
- 10.
The ratio of adults to children is 2:3. There are 3 more children than adults. How many people are at the show in all?
- A6
- B8
- C9
- D15
Reading
Circle the letter of the best answer. About 11 minutes.
The Piano on Alder Street
LITERARY NARRATIVE: This passage is from a story about a teenager who spends a Saturday with her grandfather while he prepares his old piano to be given away.
Nadia had expected the piano to be the easy part of the weekend. Her grandfather had sold the house on Alder Street in March, the movers would come on Monday, and everything that would not fit in his new apartment had already been sorted into boxes marked KEEP, GIVE, and DUMP in her mother's square capitals. The piano was going to a church across town. All Nadia had to do, her mother said, was sit with Grandpa Ivo while he got it ready, because he would not let anyone else touch it.
"Ready" turned out to mean tuning it. When Nadia came in from the car, her grandfather was already kneeling at the open front of the upright, his gray head halfway inside it, a felt wedge in one hand and a steel lever in the other. The piano's lid leaned against the wall like a door taken off its hinges.
"They have a tuner at the church," Nadia said. "Mom said they'd take care of it."
"They will take care of it after," he said, without coming out. "I am taking care of it before."
She sat on the arm of the sofa, which was the only furniture left in the room, and looked at her phone. For a while the only sound was a single note, struck again and again, and then the soft creak of the lever turning a pin a fraction at a time. The note wavered, a faint wah-wah-wah like a fan that needs oiling, and the wavering slowed as he worked until it disappeared. Then he moved to the next string and began again.
"How long does this take?" she asked after twenty minutes.
"For the whole piano? Three hours, when I was fast. Now, I don't know." He struck the note again. "You can go. I won't tell your mother."
She did not go, though she meant to. Something in the way he listened kept her there. He tilted his head the way the neighbor's dog did when someone said its name, and when the wavering stopped, his shoulders came down a little, as if he had been holding a weight and had finally set it on a shelf.
At noon he asked her to hold down a key while he adjusted the string beside it. She pressed the key with one finger, embarrassed by how badly she wanted to do it correctly. "Not so hard," he said. "You are not ringing a doorbell. Just let it speak." She held it more lightly, and the note bloomed in the empty room, ran along the bare floor, and came back from the walls. "There," he said. "You hear that? Before, it was arguing with itself."
She had taken lessons on this piano when she was seven, for exactly one year. She remembered the books with the cartoon owl on the cover and the way her feet had not reached the pedals. She remembered quitting, too, and the long quiet afternoon when her grandfather had said nothing about it at all. She had always taken that silence for disappointment.
"Did you mind," she said, "when I stopped lessons?"
He sat back on his heels and looked at her for the first time since she had arrived. "Mind? You were seven. You wanted to play soccer." He tapped the side of the piano with the lever. "This one I bought in 1979 with money from the factory, because your mother wanted to learn. She also stopped. Then I learned. A piano does not care who plays it. It cares that somebody keeps it in tune."
Nadia thought about that while he worked through the middle of the keyboard. She had imagined the day as something to get through, a chore standing between her and the rest of Saturday. Now the chore had become a kind of conversation, though most of it was carried on by the piano. Each string came into agreement with the one beside it, and each time it did, her grandfather made a small sound of satisfaction, not quite a word.
By three o'clock the light had moved across the floor and up the wall. He played a chord, then another, then a slow scale from the bottom of the keyboard to the top, and every note sounded clean and certain, like a voice that knows exactly what it means to say.
"Now it can go," he said.
Nadia helped him up. His knees cracked, and he laughed at them. When the church people came on Monday, she thought, they would find a piano that needed nothing, and they would never know why. She found that she did not mind their not knowing. She would know.
1.Which choice best describes what happens in the passage?
- AA teenager and her grandfather disagree about whether the family piano should be given away to a church.
- BA teenager learns to tune a piano so that she can take over her grandfather's work for a church across town.
- CA teenager reluctantly keeps her grandfather company while he tunes his piano and comes to see the task, and his past silence, differently.
- DA grandfather persuades his granddaughter to begin again the piano lessons she gave up as a young child.
- 2.
According to the passage, Grandpa Ivo insists on tuning the piano himself even though:
- Athe movers have told him the piano is too heavy to move.
- BNadia's mother has offered to pay a tuner to do the work.
- Che has never tuned a piano of this kind before.
- Dthe church has a tuner who will work on it after it arrives.
- 3.
According to the passage, the piano was originally bought because:
- Athe factory gave it to Grandpa Ivo as a gift.
- BGrandpa Ivo had always wanted to learn to play.
- CNadia was about to begin taking lessons.
- DNadia's mother wanted to learn to play.
- 4.
Grandpa Ivo's answer to Nadia's question about her lessons most strongly suggests that he:
- Astill regrets not pushing her harder to keep playing.
- Bnever noticed that she had stopped taking lessons.
- Cwas hurt that nobody in the family had kept playing.
- Dhad not held her decision to quit against her.
- 5.
As it is used in the ninth paragraph, the word "bloomed" most nearly means:
- Afaded away slowly.
- Bopened like a flower.
- Cswelled and spread out.
- Dgrew brighter in color.
- 6.
In the eighth paragraph, the description of how Grandpa Ivo "tilted his head the way the neighbor's dog did" mainly serves to:
- Ashow how closely he was listening to each note.
- Breveal that he was having trouble hearing the piano.
- Chint that he was waiting for Nadia to say his name.
- Dsuggest that Nadia found her grandfather foolish.
- 7.
The tenth paragraph, in which Nadia remembers her lessons, mainly serves to:
- Aexplain why Nadia now wants to learn to tune pianos.
- Bshow that Nadia blames her grandfather for her quitting.
- Cdescribe the event that caused the house to be sold.
- Dintroduce a belief of Nadia's that the conversation that follows will correct.
- 8.
Which detail from the passage best supports the idea that Nadia's attitude toward the day changes?
- AShe notices that her grandfather's knees crack as he stands.
- BShe remembers that her feet did not reach the pedals.
- CShe realizes that the chore has become "a kind of conversation."
- DShe sits on the arm of the only sofa left in the room.
- 9.
Nadia's thought in the last paragraph that she "would know" connects most directly to which earlier idea in the passage?
- ANadia's memory of the cartoon owl on the covers of her lesson books
- Bthe boxes that Nadia's mother marked KEEP, GIVE, and DUMP
- Cthe movers' plan to come to the house on Monday
- DGrandpa Ivo's insistence on preparing the piano himself even though others will tune it later
Remembering by Retrieving
SOCIAL SCIENCE: This passage is from an article about research on how practice testing affects memory.
Most students study the same way. They reread their notes, highlight the textbook, and go over the chapter once more the night before the test. The method feels productive: each pass is smoother than the last, and the material starts to look familiar. But a large body of research in cognitive psychology suggests that this feeling is misleading. One of the most effective ways to remember something is not to look at it again but to try to pull it out of memory, a phenomenon researchers call the testing effect, or retrieval practice.
The idea is older than it sounds. In the 1880s the German psychologist Hermann Ebbinghaus memorized lists of nonsense syllables and tested himself at intervals to measure how quickly he forgot them. The result, his famous "forgetting curve," showed that memory fades fast at first and then more slowly. Ebbinghaus was measuring forgetting, not trying to prevent it, but his method contained a hint of what was to come: the act of checking what he remembered was itself a kind of practice. In 1917 the American educational psychologist Arthur Gates had schoolchildren study short biographies, and he varied how much of their study time they spent reading and how much they spent reciting from memory. The children who spent more of their time reciting recalled more.
For much of the twentieth century these findings sat quietly in the journals. Tests were seen mainly as a way to measure learning, the way a thermometer measures temperature without changing it. The thermometer comparison turns out to be misleading. In a widely cited set of experiments published in the 2000s, college students read short passages about scientific topics. Some students then read the passage again; others took a test in which they wrote down as much as they could remember, without seeing the passage and without being told what they got right. When the students were tested five minutes later, those who had restudied did slightly better. But when they were tested a week later, the pattern reversed: the students who had practiced retrieving the material remembered substantially more.
That reversal is the heart of the finding, and it helps explain why so many students choose the less effective method. Rereading produces fluency, the easy sense of recognition that comes from seeing something familiar. Fluency feels like learning, and in the short term it can even look like learning. Retrieval feels harder. It is uncomfortable to stare at a blank page and come up with only half an answer. Yet psychologists suspect that this effort is exactly what makes the memory stronger, because each successful retrieval appears to reinforce the paths by which the information can be found again. Researchers sometimes describe this kind of productive struggle as a "desirable difficulty."
The effect has proved surprisingly robust. It has been found with word lists, foreign vocabulary, maps, science concepts, and medical procedures, and in classrooms as well as in laboratories. It appears even when practice tests are not graded, which suggests that the benefit comes from the retrieval itself rather than from pressure or motivation. Feedback, such as checking answers afterward, adds to the effect, especially when a student retrieves something incorrectly and would otherwise go on believing the error.
None of this means that students should simply take more high-stakes exams. The research points instead toward low-stakes habits: closing the book and writing down what you remember, using flashcards that require an answer before the card is turned over, explaining a concept aloud to a friend, or answering a few questions at the start of class about last week's lesson. Spreading these sessions out over days, rather than packing them into one evening, appears to add to the benefit.
The irony is that the most common study habits are built on the very feeling the research warns against. A page that looks familiar is not necessarily a page that can be recalled. For a student who wants to remember a chapter next month instead of only tomorrow morning, the better question to ask is not "Have I seen this?" but "Can I find it without looking?"
10.The main idea of the passage is that:
- Arereading helps memory only when students also highlight the most important parts of a text.
- Bgraded exams are the most reliable way to make students remember what they have studied.
- Crecalling information builds memory better than reviewing it, though recalling feels less effective.
- Dmemory fades quickly at first and then more slowly, as early research on forgetting showed.
Science (optional)
Circle the letter of the best answer. About 10 minutes.
Solubility of two salts
The solubility of a salt is the greatest mass of it that dissolves in a given mass of water at a given temperature. A solution holding that much is saturated.
Students added Salt X, a little at a time, to 100 g of water held at a fixed temperature until no more would dissolve, and recorded the mass dissolved. They repeated this at six temperatures, then did the same with Salt Y. Figure 1 shows the results.
1.According to Figure 1, the mass of Salt X that dissolves in 100 g of water at 40°C is closest to:
- A34 g
- B39 g
- C58 g
- D82 g
- 2.
According to Figure 1, at 80°C the solubility of Salt Y is closest to:
- A43 g
- B47 g
- C51 g
- D106 g
- 3.
According to Figure 1, as the temperature of the water increased from 0°C to 100°C, the solubility of Salt Y:
- Aincreased only
- Bdecreased only
- Cincreased and then decreased
- Ddecreased and then increased
- 4.
Based on Figure 1, at which of the following temperature ranges would 100 g of water first dissolve 70 g of Salt X as the water is warmed?
- ABetween 20°C and 40°C
- BBetween 40°C and 60°C
- CBetween 60°C and 80°C
- DBetween 80°C and 100°C
- 5.
If the pattern in Figure 1 continued, the solubility of Salt X at 120°C would most likely be:
- ALess than 82 g
- BBetween 82 g and 106 g
- CBetween 106 g and 130 g
- DGreater than 130 g
- 6.
In this study, which quantity did the students measure at each temperature?
- AThe temperature at which the water boiled
- BThe time the salt took to dissolve
- CThe mass of salt that dissolved in the water
- DThe mass of water in the beaker
Yeast and carbon dioxide
Yeast are single-celled fungi. When they break down sugar without much oxygen, they give off carbon dioxide gas.
In each trial, students mixed 2 g of dry yeast with sugar in 100 mL of water in a flask, connected the flask to an upside-down cylinder of water, and measured the volume of gas collected in 30 minutes.
Experiment 1. Four flasks with different masses of sugar were kept at 25°C. The results are in Table 1.
Experiment 2. Four flasks with 10 g of sugar each were kept at four different temperatures. The results are in Table 2.
7.According to Table 1, how much gas was collected from the flask with 10 g of sugar?
- A16 mL
- B29 mL
- C44 mL
- D47 mL
- 8.
According to Table 2, at which temperature was the most gas collected?
- A10°C
- B25°C
- C40°C
- D55°C
- 9.
In Experiment 1, the independent variable was:
- Athe mass of yeast in the flask
- Bthe mass of sugar in the flask
- Cthe temperature of the flask
- Dthe volume of gas collected
- 10.
Which of the following was kept the same in Experiment 2?
- AThe temperature of each flask
- BThe volume of gas collected
- CThe rate at which the yeast gave off gas
- DThe mass of sugar in each flask
Written by Scholar Tests in the style of the published ACT question types. Not a real ACT test, and a practice score is not a real score.