ACT practice, Grade 11

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Scholar Tests · Set 2

ACT practice test, Grade 11

Name ______________________ Date ____________

English

Circle the letter of the best answer. About 7 minutes.

  1. 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?

    1. ANO CHANGE
    2. BEach of the women have been
    3. CAll of the women was
    4. DEach of the women was
  2. 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?

    1. AYes, because it helps show why the work demanded a sharp eye.
    2. BYes, because it explains why the women were called computers.
    3. CNo, because it distracts from the paragraph's focus on how much the women were paid.
    4. DNo, because it repeats the information that the plates were made of glass.
  3. 3.

    Underlined part [3]: lay
    Which choice makes the sentence grammatically acceptable?

    1. ANO CHANGE
    2. Blaid
    3. Clied
    4. Dlayed
  4. 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?

    1. ANo, because it explains how a scientist in Massachusetts could study stars best seen from the Southern Hemisphere.
    2. BYes, because it adds information about Peru that has nothing to do with Leavitt's work.
    3. CNo, because it explains why the women at the observatory were paid so little.
    4. DYes, because it contradicts the earlier statement that Leavitt worked at Harvard.
  5. 5.

    Underlined part [5]: pattern: the
    Which choice makes the sentence grammatically acceptable?

    1. ANO CHANGE
    2. Bpattern the
    3. Cpattern; that the
    4. Dpattern, the
  6. 6.

    Underlined part [6]: Earth. Leavitt
    Which choice makes the sentence grammatically acceptable?

    1. ANO CHANGE
    2. BEarth, and Leavitt
    3. CEarth, Leavitt
    4. DEarth; Leavitt
  7. 7.

    Underlined part [7]: and they were a really big deal
    Which choice best maintains the formal tone of the essay?

    1. ANO CHANGE
    2. Band boy, were they ever important
    3. Cwhich were pretty much a game changer
    4. Dwhich described what astronomers now call the period-luminosity relation
  8. 8.

    Underlined part [8]: distances, which are how far apart things are,
    Which choice is the most concise without losing meaning?

    1. ANO CHANGE
    2. Bdistances
    3. Cdistances, or how far things lie from each other,
    4. Ddistances, meaning how far away things are,
  9. 9.

    Underlined part [9]: Instead,
    Which transition is most logical here?

    1. ANO CHANGE
    2. BEven so,
    3. CBuilding on her work,
    4. DIn contrast,
  10. 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?

    1. ANO CHANGE
    2. BTelescopes have grown much larger since the 1920s.
    3. CThe Andromeda galaxy can be seen without a telescope on very dark nights.
    4. 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. 1.

    Exactly 5% of the trees in the park are oak trees. If 10 of the trees are oak trees, how many trees in the park are there?

    1. A200
    2. B1/2
    3. C10 10/19
    4. D15
  2. 2.

    If i = √−1, which of the following is equal to (−2 + 9i) − (−5 + 6i)?

    1. A3 + 15i
    2. B−7 + 15i
    3. C3 + 3i
    4. D−3 − 3i
  3. 3.

    What is the sum of the solutions of 4x² + 12x + 6 = 0?

    1. A3
    2. B−12
    3. C−3
    4. D3/2
  4. 4.

    Which expression is equivalent to x/5 + x/9?

    1. A2x/45
    2. B14x/45
    3. C4x/45
    4. D2x/14
  5. 5.

    What is the 16th term of the arithmetic sequence −7, −16, −25, −34, ...?

    1. A−151
    2. B−144
    3. C−142
    4. D128
  6. 6.

    If sin θ = 4/5 and 0° < θ < 90°, what is cos θ?

    1. A3/5
    2. B5/3
    3. C4/5
    4. D4/3
  7. 7.

    A garden bed is 12 feet long, 9 feet wide, and 3 feet deep. How many cubic yards of soil will fill it? (1 yard = 3 feet)

    1. A12
    2. B36
    3. C108
    4. D324
  8. 8.

    In the standard (x, y) coordinate plane, what is the distance between (−3, −4) and (−7, −7)?

    1. A1
    2. B5
    3. C7
    4. D25
  9. 9.

    A ramp's sloping surface is 25 feet long, and it covers a level distance of 20 feet. How high does the ramp rise?

    1. A5 feet
    2. B15 feet
    3. C45 feet
    4. D225 feet
  10. 10.

    The numbers of minutes 6 students took to walk to school were 3, 28, 17, 22, 8, 23. Find the standard deviation, correct to 3 significant digits.

    1. A8.74
    2. B9.58
    3. C25
    4. D76.5

Reading

Circle the letter of the best answer. About 11 minutes.

  1. Cue Forty-One

    LITERARY NARRATIVE: This passage is from a story about a high school student who runs the lights for his school's spring musical.

    The light board in the booth at Hollins High was older than anyone who used it, a gray console with rows of sliders and a screen the size of a playing card. Ravi had learned it the way a person learns a difficult relative: slowly, with patience, and by never assuming it was in a good mood. For six weeks he had programmed every cue for the spring musical, all ninety-three of them, and for six weeks the board had done exactly what he told it.

    On opening night it did not.

    The first act went cleanly. Ravi pressed GO and the stage warmed into the amber of a village morning; he pressed GO and the light narrowed to a single cold circle for the heroine's song. From the booth at the back of the auditorium he could see the audience as a dark field of heads, and above it the stage, bright and small as a jewelry box. Ms. Okafor, the director, sat beside him with the script open on her knees, whispering each cue a beat before it came. "Standby forty. Forty, go." He loved that rhythm. It felt like being part of a machine that was also a living thing.

    Forty-one was the storm. It was the most complicated cue in the show: the stage dimming to blue, a flicker that was supposed to be lightning, and then darkness for the scene change. Ravi pressed GO. The screen froze. The blue came halfway up and stopped, the lightning did not come, and the little screen showed a gray box with a message he had never seen before.

    His hands went cold. On stage, the actors had begun the storm scene in a light that looked less like a storm than like a grocery store. He pressed GO again. Nothing. He felt the familiar rush he got before a hard test, the sense that his own mind was a room whose lights had just gone out.

    "Ravi," Ms. Okafor said, not loudly. "What do you need?"

    He heard himself say, "I can do it by hand." He did not know he was going to say it until he did.

    The board had a manual mode, a row of faders that controlled each group of lights directly, without the computer. He had used it once, during the first week, to test the bulbs. Now he set his fingers on the faders the way his piano teacher had once taught him to rest his hands on the keys, light and ready. He brought the front lights down. He pushed the blues up. For the lightning he flicked the fader for the white backlights up and down twice, fast, and from the house came a gasp, real or polite, he couldn't tell.

    "Good," Ms. Okafor breathed. "Blackout on the line 'until morning.'"

    He listened. The actor playing the father said, "We'll wait it out until morning," and Ravi pulled every fader to the bottom, and the stage went black, and in the dark he could hear the crew moving the furniture and his own heart slowing down.

    The board stayed frozen for the rest of the act. He ran the next nineteen cues by hand, with Ms. Okafor reading the script aloud beside him like a navigator calling out turns. Some of them were rougher than the ones he had programmed; a sunset came up a little too fast, and one scene began a second late. Nobody in the audience seemed to notice. By the last scene of the act he had stopped thinking about the frozen screen at all. He was watching the stage and listening to the actors and moving his hands, and it was, he realized, the most awake he had ever felt.

    At intermission the technology teacher came up, restarted the board, and it woke as if nothing had happened. The second act ran on the computer, every cue smooth and exact. Ravi pressed GO for each cue that was left, and it was fine, and he found that he missed the faders a little.

    After the curtain call, Ms. Okafor shook his hand as if he were an adult. "Most people think the job is pushing the button," she said. "The job is knowing what the button does."

    He didn't sleep much that night. He kept seeing the stage turn blue under his hands.

    1.

    The passage is mainly about a student who:

    1. Amakes an error while programming a storm cue and must apologize to the cast.
    2. Bconvinces his director to replace an outdated lighting board before opening night.
    3. Coperates a lighting board for the first time during a performance.
    4. Dkeeps a show running when the lighting board fails and finds the experience unexpectedly rewarding.
  2. 2.

    According to the passage, Ravi had used the board's manual mode before opening night to:

    1. Arehearse the storm cue with the actors.
    2. Btest the bulbs during the first week.
    3. Cprogram the cues for the second act.
    4. Dpractice the blackout at the end of the first act.
  3. 3.

    According to the passage, the board began working again after:

    1. AMs. Okafor read the next cue aloud to Ravi.
    2. Bthe crew finished moving the furniture in the dark.
    3. Cthe technology teacher restarted it at intermission.
    4. DRavi pressed GO a second time during the storm.
  4. 4.

    Ms. Okafor's statement after the curtain call most strongly suggests that she values:

    1. Arunning cues quickly more than running them accurately.
    2. Bprogrammed cues more than cues run by hand.
    3. Cknowing how the equipment works, not just using it.
    4. Da student's obedience to the director above all else.
  5. 5.

    As it is used in the eighth paragraph, the word "house" most nearly means:

    1. Aa building next to the school.
    2. Ba family living together.
    3. Cthe people watching the show.
    4. Dthe crew working backstage.
  6. 6.

    The comparison in the first paragraph between learning the board and learning "a difficult relative" mainly suggests that the board was:

    1. Aloved by everyone who used it.
    2. Bunpredictable and needed careful handling.
    3. Ctoo complicated for a student to learn.
    4. Dnew and easy to understand.
  7. 7.

    The comparison of Ms. Okafor to "a navigator calling out turns" mainly serves to:

    1. Asuggest that she took over the lights herself.
    2. Bindicate that she was criticizing his mistakes aloud.
    3. Cshow that she guided Ravi through the cues one step at a time.
    4. Dreveal that she was unsure where the show was going.
  8. 8.

    Which detail from the passage best supports the idea that Ravi grows calmer once he begins working by hand?

    1. AHe programmed ninety-three cues over six weeks.
    2. BThe second act runs smoothly on the computer.
    3. CIn the dark he hears "his own heart slowing down."
    4. DHis hands go cold when the screen freezes.
  9. 9.

    Ravi's feeling in the twelfth paragraph that he "missed the faders a little" connects most directly to which earlier moment?

    1. Ahis pressing GO a second time after the screen froze
    2. Bhis sense, while running cues by hand, of being more awake than ever
    3. Chis memory of the rush he felt before taking a hard test
    4. Dhis view from the booth of the stage as a small jewelry box
  10. Exit Ramps

    SOCIAL SCIENCE: This passage is from an article about how the interstate highway system changed American towns and cities.

    In the summer of 1919, a convoy of about eighty Army trucks, cars, and motorcycles set out from Washington, D.C., to test whether military vehicles could cross the continent. It took sixty-two days to reach San Francisco. The convoy sank in mud, broke through wooden bridges, and in places moved more slowly than a person could walk. Among the officers who made the trip was a young lieutenant colonel named Dwight D. Eisenhower. Decades later, after he had also seen Germany's autobahns during World War II, he would remember both experiences when, as president, he signed the Federal-Aid Highway Act of 1956.

    The act authorized a national network of about 41,000 miles of divided highways, and the federal government agreed to pay 90 percent of the cost, with money drawn largely from a tax on gasoline. The new roads were built to a common standard: at least two lanes in each direction, gentle curves and grades, and, most important, limited access. Drivers could enter and leave only at interchanges. There would be no stoplights, no driveways, and no cross streets.

    That last feature changed the geography of everyday life in ways few people predicted. The older highways of the 1920s and 1930s, such as the famous Route 66, had run straight through the middle of towns. A traveler from Chicago to Los Angeles drove down main street after main street, past diners, motor courts, gas stations, and souvenir stands that depended on that traffic. The interstates, by design, went around such places. Where a two-lane road had once delivered customers to the front door, a four-lane highway now carried them past at full speed, often within sight of the water tower.

    For many small towns, the effect was swift. When a stretch of interstate opened nearby, traffic on the old road could fall sharply almost overnight, and businesses that had depended on it began to close. Some towns lobbied hard to have an exit placed close to their downtowns; those that succeeded had a chance to adapt, and those that did not often watched their main streets empty. Williams, Arizona, was the last town on Route 66 to be bypassed, in 1984, and the old highway was removed from the federal highway system the following year.

    The interstates did not simply drain business away, however. They moved it. Every interchange became a potential commercial site, and clusters of gas stations, motels, and restaurants grew up around exits, often on land that had been farm fields a few years earlier. Because these businesses served travelers who might never return, many of them belonged to national chains whose signs a driver could recognize from a distance. A traveler on the interstate could cross the country without ever seeing a town's center at all.

    In cities, the story was different and often more painful. Planners routed many urban interstates through existing neighborhoods, where land was cheaper and residents had less political power. Thousands of homes and businesses were demolished, and communities, many of them Black or immigrant neighborhoods, were divided by elevated roadways and sunken trenches. At the same time, the highways made it easier for families who could afford it to move to new suburbs and commute to work by car, which drew residents and tax revenue away from city centers.

    Not everything about this change was a loss. The interstates made travel far safer per mile than the old two-lane roads, cut shipping times for goods, and allowed trucking to grow into the main way freight moves across the country. Some bypassed towns eventually found new life by turning their old main streets into attractions for travelers curious about what the interstates had passed by.

    Still, the interstate system is a reminder that a road is never only a road. A decision about where to put an exit ramp is also, in a sense, a decision about which towns will be reached and which will be passed by. The engineers of the 1950s set out to solve a problem of speed. In doing so, they redrew the map of where Americans would eat, sleep, shop, and live.

    10.

    Which choice best states the main idea of the passage?

    1. AEisenhower's experiences in 1919 were the main reason the interstates were designed so well.
    2. BThe interstate highways, built mainly for speed, reshaped where Americans did business and lived, bringing both gains and losses.
    3. CRoute 66 was the most important highway in American history because it ran through many towns.
    4. DThe interstate highways were a mistake that ruined small towns and should be replaced by older roads.

Science (optional)

Circle the letter of the best answer. About 10 minutes.

  1. 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:

    1. A39 g
    2. B46 g
    3. C67 g
    4. D95 g
  2. 2.

    According to Figure 1, at 80°C the solubility of Salt Y is closest to:

    1. A49 g
    2. B52 g
    3. C55 g
    4. D123 g
  3. 3.

    According to Figure 1, as the temperature of the water increased from 0°C to 100°C, the solubility of Salt Y:

    1. Aincreased only
    2. Bdecreased only
    3. Cincreased and then decreased
    4. Ddecreased and then increased
  4. 4.

    Based on Figure 1, at which of the following temperature ranges would 100 g of water first dissolve 81 g of Salt X as the water is warmed?

    1. ABetween 20°C and 40°C
    2. BBetween 40°C and 60°C
    3. CBetween 60°C and 80°C
    4. DBetween 80°C and 100°C
  5. 5.

    If the pattern in Figure 1 continued, the solubility of Salt X at 120°C would most likely be:

    1. ALess than 95 g
    2. BBetween 95 g and 123 g
    3. CBetween 123 g and 151 g
    4. DGreater than 151 g
  6. 6.

    In this study, which quantity did the students measure at each temperature?

    1. AThe mass of salt that dissolved in the water
    2. BThe mass of water in the beaker
    3. CThe time the salt took to dissolve
    4. DThe temperature at which the water boiled
  7. 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?

    1. A14 mL
    2. B25 mL
    3. C40 mL
    4. D51 mL
  8. 8.

    According to Table 2, at which temperature was the most gas collected?

    1. A10°C
    2. B25°C
    3. C40°C
    4. D55°C
  9. 9.

    In Experiment 1, the independent variable was:

    1. Athe volume of gas collected
    2. Bthe mass of yeast in the flask
    3. Cthe temperature of the flask
    4. Dthe mass of sugar in the flask
  10. 10.

    Which of the following was kept the same in Experiment 2?

    1. AThe mass of sugar in each flask
    2. BThe rate at which the yeast gave off gas
    3. CThe temperature of each flask
    4. 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.