Scholar Tests · Set 1
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
- CAll of the women was
- DEach of the women have been
- 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 helps show why the work demanded a sharp eye.
- BNo, because it repeats the information that the plates were made of glass.
- CNo, because it distracts from the paragraph's focus on how much the women were paid.
- DYes, because it explains why the women were called computers.
- 3.
Underlined part [3]: lay
Which choice makes the sentence grammatically acceptable?- ANO CHANGE
- Blied
- Clayed
- Dlaid
- 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.
- BYes, because it adds information about Peru that has nothing to do with Leavitt's work.
- CNo, because it explains why the women at the observatory were paid so little.
- 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; Leavitt
- CEarth, and 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, meaning how far away things are,
- Cdistances
- Ddistances, or how far things lie from each other,
- 9.
Underlined part [9]: Instead,
Which transition is most logical here?- ANO CHANGE
- BIn contrast,
- CBuilding on her work,
- DEven so,
- 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
- BThe Andromeda galaxy can be seen without a telescope on very dark nights.
- CTelescopes have grown much larger since the 1920s.
- DLeavitt died in 1921, a few years before her careful work helped reveal how vast the universe is.
Math
Circle the letter of the best answer. About 11 minutes.
- 1.
Which number is irrational?
- A3.14
- B√12
- C√25
- D0
- 2.
At a fruit stand, the ratio of apples to pears to plums is 4:6:5. What fraction of the fruit is pears?
- A2/5
- B3/5
- C4/15
- D2/3
- 3.
A ladder 10 feet long leans against a wall. Its foot is 6 feet from the wall. How high up the wall does the ladder reach?
- A4 feet
- B8 feet
- C16 feet
- D64 feet
- 4.
What are all the solutions of the equation x² = 100?
- Ax = 50 or x = −50
- Bx = 10 or x = −10
- Cx = 100 or x = −100
- Dx = 10
- 5.
If f(x) = 5x − 3 and g(x) = x² + 7, what is the value of f(g(2))?
- A18
- B52
- C56
- D77
- 6.
Each list shows the points of a function. Which function is linear?
- A(0, 5), (1, 0), (2, −5), (3, −10)
- B(0, 5), (1, 1), (2, 7), (3, 3)
- C(0, 6), (1, 7), (2, 9), (3, 13)
- D(0, 5), (1, 6), (2, 9), (3, 14)
- 7.
3x − 5y = 18
3x + 4y = −36
If (x, y) is the solution of the system of equations above, what is the value of x + y?- A−10
- B−6
- C−4
- D2
- 8.
In the standard (x, y) coordinate plane, what is the radius of the circle with equation (x + 1)² + (y + 9)² = 121?
- A10
- B11
- C22
- D121
- 9.
A table gives the probability of each possible number of goals a soccer team scores in one game. Number of goals: 0, 1, 2, 3, 4. Probability: 0.30, 0.05, 0.35, 0.15, ?. The probability for 4 goals is missing from the table. What is the probability that the team scores at most 1 goal in a game?
- A0.15
- B0.30
- C0.35
- D0.65
- 10.
A jar holds an unknown number of white beads. Hana adds 70 red beads and mixes them in well. Then she picks 56 beads at random, and 7 of them are red. Based on this, about how many white beads were in the jar before the red beads were added?
- A126
- B490
- C560
- D630
Reading
Circle the letter of the best answer. About 11 minutes.
The Shanty
LITERARY NARRATIVE: This passage is from a story about a teenager who visits his father, who lives far away, and goes ice fishing with him.
My father's fishing shanty sits a quarter mile out on Lake Tamsin, a plywood box painted a faded green, with a stovepipe that leans to the east because of a storm three winters ago that he has never gotten around to fixing. I had not seen the shanty in two years. I had not seen him in nearly one, except on a laptop screen, where he always seemed to be sitting too close to the camera.
We drove out onto the ice in his truck, which I had not known you could do. "Eighteen inches," he said, when he saw my face. "You could park a school bus out here." I held the door handle anyway.
Inside, the shanty was dark and smelled of kerosene and wet wool. He lit the little stove, and then he knelt and used a long hand auger to reopen the two holes in the floor, grinding through the skin of new ice until black water welled up into each one. He handed me a short rod no longer than my arm. "Perch," he said. "They're near the bottom this time of year. Drop it down until it touches, then reel up two turns."
I did that. Then we sat on two overturned buckets and waited, and nothing happened, and kept on happening.
I had prepared things to say on the drive up. I had a whole list, actually, in the notes on my phone: school, the swim team, the fact that Mom had started taking pottery classes and now gave everyone lopsided bowls. I had thought these would fill the silence. But in the shanty the silence was not something that needed filling. It was more like a third person sitting with us, patient and not unfriendly, and every time I opened my mouth it seemed rude to interrupt.
My father watched the tip of his rod the way some people watch television. Once, his line twitched, and he lifted the rod an inch, and then let it settle again. "Looking," he said quietly. "Not biting. Just looking."
After an hour I caught a perch. It came up out of the hole all at once, yellow and barred with dark green, flipping on the plywood, and I yelped like a much younger kid. My father laughed, a real laugh, the first one I had heard from him in person since I was thirteen. He showed me how to hold the fish so the spines on its back folded down instead of stabbing my palm, and then he said, "Keeper," and dropped it into the bucket of lake water by the stove.
That was when I asked him. I hadn't planned to; it wasn't on the list. "Why'd you move all the way up here?"
He didn't answer right away. He opened the stove door and looked at the fire, and closed it again. "I was no good in the city," he said finally. "I was angry all the time, and I didn't know why, and I didn't want you to see that. Up here I can hear myself think." He paused. "That's not a good enough reason. I know it isn't."
I wanted to tell him it was fine, but it wasn't, exactly, and he would have known I was lying. So I said, "The stovepipe's crooked," which was a stupid thing to say.
He looked up at it as if he had never noticed. "Huh," he said. "So it is."
We caught eleven perch between us by the time the light in the little window went from white to blue. On the walk back to the truck the ice boomed somewhere far off, a deep sound like a door slamming in a huge house, and I grabbed his arm without thinking. "Just the lake settling," he said. "It's talking to itself. It does that when it gets cold." He didn't pull his arm away, and I didn't let go until we reached the truck.
That night he fried the fish in a cast-iron pan, and we ate them standing at the counter with our fingers. I never did get to the list on my phone. In the morning, before he drove me to the bus, I went out with him and held the ladder while he straightened the stovepipe, and neither of us mentioned why.
1.Which choice best describes the passage?
- AA teenager spends a day ice fishing with a father he rarely sees, and the distance between them begins to ease.
- BA father and son argue about the father's move until a winter storm forces them to make peace.
- CA teenager reluctantly learns to fish so that he can enter a contest his father has organized.
- DA teenager returns to his father's lake after many years to help him sell the old shanty.
- 2.
According to the passage, the narrator made a list on his phone because he:
- Aexpected to need topics to fill the silence with his father.
- Bhad promised his mother a report on the visit.
- Cwanted to remember what his father taught him about fishing.
- Dplanned to ask his father why he had moved away.
- 3.
Which of the following events happens first in the passage?
- AThe ice booms in the distance.
- BThe narrator catches his first perch.
- CThe narrator asks why his father moved.
- DThe father reopens the holes in the shanty floor.
- 4.
The father's statement "That's not a good enough reason" most strongly suggests that he:
- Abelieves the narrator is angry about the fishing trip.
- Brecognizes that his move has cost his son something.
- Cregrets having spent so much time in the shanty.
- Dexpects the narrator to move north to live with him.
- 5.
As it is used in the sixth paragraph, the word "settle" most nearly means:
- Amove in permanently.
- Bcome to rest.
- Cpay off a debt.
- Dmake a decision.
- 6.
In the fifth paragraph, the narrator compares the silence to "a third person sitting with us" mainly to suggest that the silence:
- Amade the narrator feel shut out by his father.
- Breminded the narrator of his mother back home.
- Cfelt like a comfortable presence rather than an awkward gap.
- Dwas broken often by conversation about fishing.
- 7.
The narrator's remark "The stovepipe's crooked" mainly shows that he:
- Awants to change the subject back to fishing.
- Bcould not find a fitting reply to his father's admission.
- Cdid not hear what his father had just said.
- Dblames his father for letting the shanty fall apart.
- 8.
Which detail from the passage best supports the idea that the father and son are growing closer?
- AThe father lights the stove as soon as they enter the shanty.
- BThe father explains that perch stay near the bottom in winter.
- CThe father does not pull his arm away when the narrator grabs it.
- DThe father tells the narrator that the ice is eighteen inches thick.
- 9.
The narrator's statement in the last paragraph that he "never did get to the list on my phone" most strongly supports which conclusion?
- AHe ran out of time because his father drove him to the bus early.
- BHe decided that his father would not care about his life at home.
- CThe connection he found with his father did not depend on the topics he had planned.
- DHe left his phone behind in the shanty and could not read the list.
Five Digits
SOCIAL SCIENCE: This passage is from an article about the history of ZIP codes in the United States.
Before 1963, a letter mailed across the United States depended heavily on the memory of the people who handled it. Postal clerks stood at sorting cases, wooden cabinets with dozens of pigeonholes, and tossed each piece of mail into the slot for its destination. A good clerk might know thousands of town names and the train routes that served them. The system worked, but it worked at the speed of a human hand, and after World War II the volume of mail began to outpace it.
Part of the problem was growth, and part was the kind of mail being sent. Businesses had discovered that they could reach customers by the thousands through advertising circulars, magazines, and bills. By the early 1960s the Post Office Department was handling more than sixty billion pieces of mail a year, more than twice the volume of the late 1930s. Many of those pieces passed through big-city post offices where clerks were expected to sort mail for places they had never seen.
An earlier fix had helped, but only within cities. In 1943, with many experienced clerks away at war, the department assigned numbered postal zones to the largest cities. A letter might be addressed to "Chicago 14, Illinois," and the "14" told a newer clerk which local station would deliver it. The zones made sorting inside a city simpler, but they did nothing to speed a letter on its way between cities.
The plan that replaced them was called the Zone Improvement Plan, and its abbreviation was chosen partly because it suggested speed. A postal inspector named Robert Moon had proposed a code based on regional sorting centers as early as 1944, and his idea for the first three digits became the backbone of the new system. When the ZIP code was introduced on July 1, 1963, each of its five digits had a job. The first digit stood for a broad group of states, running from 0 in the Northeast to 9 in the far West. The next two digits identified a sectional center, a large post office that served as a hub for its region. The last two digits pointed to a particular post office or delivery area. A letter, in other words, carried directions to itself.
The public did not immediately cooperate. Many people saw the new numbers as one more thing to memorize, and some saw them as a sign that the government preferred numbers to names. The department responded with a publicity campaign built around a cheerful cartoon mail carrier known as Mr. ZIP, who appeared on posters, in advertisements, and in the margins of sheets of stamps. Songs and television spots urged people to use the code. Large mailers had a stronger reason to comply: beginning in 1967, businesses sending bulk mail at the cheaper rates were required to sort it by ZIP code.
The codes made mechanization possible. Because a number can be read in the same way every time, it could eventually be read by machines rather than people, and over the following decades automated equipment took over much of the sorting that clerks had done by hand. In 1983 the Postal Service added four optional digits after a hyphen, a system called ZIP+4, which could narrow a destination to a single side of a city block, one building, or even a large company's mailroom.
The most surprising effects, however, had little to do with mail. Because a ZIP code marks out a small and fairly stable area, it became a convenient way to describe a neighborhood. Marketers began using the codes to decide where to send catalogs, insurers used them to estimate risk, and researchers used them to study differences in income and health from one area to the next. A system designed to move envelopes became, almost by accident, one of the most familiar ways Americans locate themselves on a map. Many people now know their ZIP code as well as they know their own telephone number.
10.The passage is primarily concerned with:
- Athe publicity campaign that persuaded Americans to use ZIP codes.
- Bthe career of the postal inspector who first proposed a regional code.
- Cwhy postal clerks resisted the arrival of sorting machines.
- Dhow the ZIP code came about, how it worked, and how its uses spread beyond mail.
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:
- A38 g
- B41 g
- C62 g
- D86 g
- 2.
According to Figure 1, at 80°C the solubility of Salt Y is closest to:
- A45 g
- B49 g
- C53 g
- D110 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 74 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 86 g
- BBetween 86 g and 110 g
- CBetween 110 g and 134 g
- DGreater than 134 g
- 6.
In this study, which quantity did the students measure at each temperature?
- AThe mass of water in the beaker
- BThe mass of salt that dissolved in the water
- CThe time the salt took to dissolve
- DThe temperature at which the water boiled
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?
- A18 mL
- B33 mL
- C50 mL
- D53 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 temperature of the flask
- Bthe mass of sugar in the flask
- Cthe volume of gas collected
- Dthe mass of yeast in the flask
- 10.
Which of the following was kept the same in Experiment 2?
- AThe mass of sugar in each flask
- BThe rate at which the yeast gave off gas
- CThe temperature of each flask
- DThe volume of gas collected
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.