Math II
Physics Math I
Chemistry US History
English I & Biology English II
ACT is committed to representing the diversity of society in all its aspects, including race, ethnicity, and gender. ACT employs extensive reviews and statistical procedures to ensure the fairness of test materials. ACT conducts research and periodically updates tests to provide test content that reflects classroom instruction and continues to be a relevant predictor of college and career readiness. There may be differences between the ACT practice questions in this booklet and the test students take on test day. ACT endorses the Code of Fair Testing Practices in Education and the Code of Professional Responsibilities in Educational Measurement, which guide the conduct of those involved in educational testing. ACT is committed to ensure that each of its testing programs upholds the guidelines in each Code. You may locate copies of these Codes through the following organizations: • Code of Fair Testing Practices in Education: American Psychological Association (www.apa.org) • This document is covered by international copyright laws that prohibit the reproduction of the test questions without the prior express, written permission of ACT, Inc and ConnecME Education. No portion of this booklet may be copied or distributed without written permission of ACT and ConnecME Education. ACT International Subject Test is a unique, allowed, and a reference sheet provides research-based assessment. Based on research common formulas. and designed in partnership with the nation’s leading educators, the assessment offers a Mathematics II (Algebra II, Pre-Calculus) comprehensive, aligned approach to measuring Students can affirm their advanced Algebra student skills and knowledge. and pre-Calculus skills. These skills include understanding complex numbers, modeling The ACT International Subject tests are designed with vectors and matrices, applying advanced to be related to be aligned to your high school functions, finding limits, fitting a normal curriculum, whether you are studying the national, distribution, and interpreting graphs in the IB, or US Common Core, you will find a subject test polar coordinate plane. Calculators are that works for you and rewards you on your allowed, and a reference sheet provides excellence in your school year. common formulas.
U.S. History Biology U.S. History test covers a detailed overview of Biology test questions ask students to solve United States history, from the country’s problems and demonstrate understanding of beginnings to the post–World War II era. Test topics including: Biochemistry and the Cell, questions ask student to show knowledge and Genetics and Evolution, and Animal and Plant insight into the forging of the new nation, the systems and Ecology. sectional conflicts that nearly tore it apart, and the Civil War and Reconstruction. Student Chemistry needs to know topics such as: nineteenth- Chemistry test questions ask students to solve century industrialization and urbanization, the problems and demonstrate understanding of growth of the West and the “New South,” and topics such as: states of matter and phase political efforts to reform capitalism. Student changes, mole concept, chemical formulas, should be able to investigate and interpret past chemical equations, stoichiometry, gas laws, events, and apply what you have learned to atomic structure, periodicity, chemical real-world situations. bonding, solution properties. Chemistry test questions ask students to apply proportional English I / English II reasoning and other mathematical thinking to ACT Subject tests for English 1 and 2 assess solve problems. students’ knowledge, skills, and abilities as readers and writers. Questions use a diverse Physics collection of authentic, high-quality texts that Physics test questions ask students to solve have been taught in successful classrooms problems and demonstrate understanding of across the United States, including drama, topics such as: forces and motion (e.g., fiction, nonfiction, and poetry texts, as well as displacement, velocity, acceleration, film scripts. The English tests also assess momentum, force, impulse, Work-Energy knowledge and skills required to write theorem, power, work), fundamental forces effectively in high school and college (e.g., Newton’s law of gravitation, Coulomb’s law. Physics test questions ask students to apply proportional reasoning, graphical models, and other mathematical thinking to solve problems.
3 Please Read carefully. • Any electronic device, other than a permitted • When you take the ACT Subject Tests, please calculator (this includes your mobile phone, think carefully about all the choices in each smart watch, fitness band, media player, iPad, question and answer. headphones, and camera) • Plan to use the allotted time as follows: • Reading material ✓ Answer the easy questions first. ✓ Work on less time-consuming questions. Calculators ✓ Move to more challenging questions Students are encouraged, but not required, to giving them enough time. bring an approved scientific calculator on the • Make educated guesses: eliminate choices following ACT Subject Tests: you know for sure they are wrong. • Math I • Math II • Work at steady pace and keep track of time. • Chemistry On Test Day • Physics You can feel calm and prepared for test day by Scientific calculators are available as on-screen knowing what you can and cannot bring into the tools within all four of the subject tests listed test room with you. above. Therefore, if students do not bring an approved calculator with them to the testing Items to Bring for Testing: location, they will be able to use the on-screen version. • A printed copy of your admission ticket with The following types of calculators are prohibited: photo, which is required for entry to the test center. • Calculators with built-in computer algebra • A photo ID, as specifically requested in systems—Prohibited calculators in this correspondence and outlined on the ticket. category include: • An acceptable calculator if taking a science or o Texas Instruments: All model numbers math subject test. that begin with TI-89 or TI-92 and the • A non-digital watch (The testing room will TI-Nspire CAS—Note: the TI-Nspire (non-CAS) is permitted. have a clock, but you’re allowed to bring a o Hewlett-Packard: HP Prime, HP 48GII, non-digital watch). and all model numbers that begin with • Keep your ID and admission ticket with you at HP 40G, HP 49G, or HP 50 all times, especially if you leave the testing o Casio: Algebra fx 2.0, ClassPad 300, room. You may be asked to show your ID or ClassPad 330, fx-CP400 (ClassPad admission ticket at any time while in the test 400), and all model numbers that center. Don’t write on the admission ticket. begin with CFX-9970G • Handheld, tablet, or laptop computers, Items NOT to Bring for Testing: including PDAs • Electronic writing pads or pen-input • Smart watch features and audible alarms are devices—Note: The Sharp EL 9600 is prohibited. permitted. • Textbooks, foreign language or other • Calculators built into cell phones or any dictionaries, scratch paper, notes, or other other electronic communication devices aids. • Calculators with a typewriter keypad (letter keys in QWERTY format)—Note: Letter keys not in QWERTY format are permitted.
4 Sample Questions
Below are 10 sample multiple choice questions from the ACT International Subject Test: Biology
1. Chan wants to determine how much the mass of fungus growing on a nutrient agar plate changes over an 8 hour period. What is the most appropriate unit of measure for him to use?
a. Kilogram b. Kilometer c. Milligram d. Millimeter
2. Which experiment design would provide scientists with the best data for investigating which type of feed yields the greatest gain in lean muscle mass in cattle?
a. Test 5 different types of cows with the same feed mixture and measure their weight gain at the end of a 6 week trial. b. Test 5 similar groups of cows with 5 different feed mixtures and measure their weight gain at the end of a 6 week trial c. Test 5 similar groups of cows with the same feed mixture, give each group varying amounts of feed, and measure their weight gain at the end of a 6 week trial. d. Test 5 different types of cows with 5 different feed mixtures give each group varying amounts of feed and measure their weight gain at the end of a 6 week trial
3. Shown below is a growth curve for Paramecium grown in a 1.0L flask containing pond water at 20°C The pond water is continually filtered to remove waste products, and nutrients are added at a constant rate.
How could the experiment be modified to determine whether temperature influences the population size of Paramecium?
a. Repeat the procedures described using 1 flask, and increase the temperature to 25°C for Days 10-15 b. Repeat the procedures described using 1 flask, and vary the temperature randomly during the entire incubation time. c. Repeat the procedures described using 2 flasks incubate 1 flask at 15°C and the other at 25°C. d. Repeat the procedures described using 2 flasks incubate both flasks at 20° C
4. A researcher counted the number of eggs a single fruit fly laid in 24 hours for 5 days and recorded the findings in this table:
5 What is the average number of eggs laid per day over the 5 days? a. 5 b. 10 c. 25 d. 50
5. Ella told her sister the sun would set at 6:30 pm and there would be a full moon on Thursday night. Under which basic assumption of science is she operating?
a. Nature is orderly b. Knowledge is superior to ignorance c. Nothing is self-evident d. All phenomena have natural causes
6. Edison studies the effects of temperature on starch digestion in a test tube. He adds 2g of starch and 1ml of enzyme suspension to a test tube and incubates it at 25°C for 20 min. To accurately test the effects of temperature, Edison should begin a second test with 2g of starch in a test tube and continue with which set of conditions?
7. Which processes generates most of the ATP produced during cellular respiration?
8. Which functional group found in amino acids is absent from monosaccharides, polysaccharides, fatty acids and glycerol?
a. –C00H b. –NH2 c. –OH d. –PO4
9. Stephanie adds cycloheximide to cells grown in a test tube. Within minutes, she identifies short incomplete segments of proteins in the cells. On which organelle does cycloheximide act?
a. Endoplasmic reticulum b. Golgi apparatus c. Nucleus d. Ribosome
10. When comparing 2 populations of animals, which state most likely indicates that they are the same species?
6 Sample Questions
Below are 10 sample multiple choice questions from the ACT International Subject Test: Chemistry
1. What is volume, in mL, of a sample of glycerol with a density of 1.20 g/mL and a mass of 43.7g? a. 36.4 b. 42.5 c. 44.9 d. 52.4
5. A student measures the mass of an American nickel on an analytical balance and records a results of 4.947g in her laboratory notebook. The US Mint has a specification of 5.000g for the mass of a nickel. Assuming the US Mint’s specification is the actual mass of a nickel, what is the percent error associated with the student’s measurement? a. 1.071% b. 1.060% c. 0.01071% d. 0.01060%
6. At high temperatures, tantalum(V) oxide(Ta2O5) reacts with carbon (C) to produce tantalum (Ta) and carbon dioxide (CO2)
Greg adds 2.34g of Ta2O5 to an excess of C in a crucible. Using a Bunsen burner, he heats the mixture until CO2 is no longer released Greg isolates 1.75g of Ta. What is the percent of yield of Ta for this reaction? a. 37.4% b. 54.6% c. 74.8% d. 91.3%
8 Sample Questions
Below are 10 sample multiple choice questions from the ACT International Subject Test: Physics
1. Which statement about the velocity and acceleration of an object traveling in a circle at a constant speed is true? a. Neither the velocity nor the acceleration is constant b. Both the velocity and acceleration are constant c. The acceleration is constant, but the velocity is not d. The velocity is constant, but the is not acceleration
2. A 15kg crate initially at rest on a horizontal floor requires 60.0 N of horizontal force to move. Determine the coefficient of static friction between the crate and the floor. a. 0.25 b. 0.41 c. 2.5 d. 4.0
3. Four identical springs evenly support a steel bock of weight W. The elastic constant of each spring is k. Which expression gives the distance of compression from equilibrium? 𝑊 a. √ 2𝑘
8𝑊 b. √ 𝑘
𝑊 c. 4𝑘
4𝑊 d. 𝑘
5. Robert’s mass is 55.00kg during soccer practice he runs up a set of stairs in 5.00s. The total vertical height of the stairs is 6.00m. What is Roberto’s power output, in watts? a. 66.00 b. 108.00 c. 647. d. 3234
6. A 2000 kg spaceship is 11.00 x 105 m above Earth’s surface. What is the gravitational force, in Newtons acting on the spaceship? a. 1.65 x 104 b. 1.90 x 104 c. 1.23 x 1011 d. 1.35 x 1011
9 8. Mima prepares 4 identical foam beads, each carrying same charge +q. She places 1 beat at each of 3 corners and 1 bead at the center of a square of diagonal length 2r, as shown in this figure.
What is a magnitude of the net force on the bead t the center of the square?
9. A laser beam travels from water with an index of refraction of 1.33 into glass with an index of refraction 1.50. The angle of refraction is 40 °. What is the angle of incidence? a. 34.7° b. 46.5° c. 58.7° d. 74.6°
10. A light wave has an intensity of 200 W/m2 The amplitude of the light wave is tripled. What is the intensity of the light, in W/m2? a. 22.2 b. 66.7 c. 600 d. 1800
10 Sample Questions
Below are 10 sample multiple choice questions from the ACT International Subject Test: Math I
1. The amount, a, earned by Hari and Desmond by depositing money for a period of time, t, is the solution to these equations:
2a = 1600t + 20000 1.5a = 1280t + 14500
2. In the coordinate plan,⃡𝑛 passes through the points (-1, 4) and (5,2) and⃡𝑚 passes through the points (2,1) and (4,y). For what value of y is 𝑛 ⃡ perpendicular to 𝑚 ⃡? 1 a. − 3
1 b. 3
c. 5
d. 7
3. Two unique rays determine an angle. How many different angles do 10 rays with a common endpoint determine?
a. 17 b. 20 c. 45 d. 55
a. △ 𝑄𝑇𝑆 ~ △ 𝑃𝑄𝑇 b. △ 𝑄𝑇𝑆 ~ △ 𝑅𝑄𝑆 c. △ 𝑃𝑄𝑇 ~ △ 𝑆𝑄𝑅 d. △ 𝑃𝑄𝑇 ~ △ 𝑅𝑄𝑆
a. 7 b. 2√15 c. 13 d. 6√10
11 1 𝑥 𝑥2 6. What is the value of the expression 1 + + + for x = -4 𝑥 𝑥2 𝑥3 1 a. 4
19 b. 24
1 c. 1 12
3 d. 1 4
1 1 7. Evaluate this expression for x = and y = 2 3 x2y –(x2-y2) +xy2
a. 0 1 b. 23
2 c. 35
2 d. 9
9. When a student subtracts 18 from a number, the result is ¼ of the number. What is the number?
a. 6 b. 18 c. 24 d. 36
10. At a sawmill, the circumference of the base of a con-shaped pile of sawdust is 50ft. The cone rises at an angle of 40 . To the nearest tenth of a foot, how tall is the pole of sawdust? (Note =3.14)
a. 5.1 b. 6.1 c. 6.7 d. 9.5
12 Sample Questions
Below are 10 sample multiple choice questions from the ACT International Subject Test: Math II
1. Hunter’s Transport Company has 7 dump trucks, 5 cement trucks, and 9 drivers. Dump trucks haul 6 tons, while cement trucks haul 10 tons. The company has a contract to transport 360 tons of gravel and cement per day to a road construction site. The dump trucks can make 8 trips a day, while the cement trucks can make 6 trips a day. A dump truck costs $30 per day, and a cement truck costs $42 per day. If all 9 drivers work on this job, using how many trucks of each type will minimize the cost?
-4≤ 𝑥 ≤ 0 -6≤ 𝑦 ≤ 0 a. 6 b. 15 c. 24 d. 2
a. -36 b. 0 c. 6 d. 36
𝜃 a. cot 𝜃𝑐𝑜𝑡 2 2 𝜃 b. tan 𝜃𝑡𝑎𝑛2 2 c. cot 𝜃𝑐𝑜𝑠 2 2𝜃 d. tan 𝜃𝑡𝑎𝑛2 2𝜃 3 7. Which function has an x-intercept at (-1, 0) and a horizontal asymptote of y =- ? 2 3𝑥 2 −7𝑥+1 a. 2𝑥 2 +2
6𝑥 2 −7𝑥+1 b. −4𝑥 2 +2
12𝑥 2 −13𝑥+1 c. −8𝑥 2 +3
15𝑥 2 +16𝑥+1 d. −2𝑥 2 +7
1 8. Evaluate ∑∞ 𝑛=1 (−3) −𝑛 2 1 a. − 4 1 b. − 8
1 c. 8
3 d. 4
9. Which equation has a graph which is symmetric with respect to the origin? a. y=|x| b. y=x3-2x 4 c. y= 2 𝑥 d. y= -3x4
14 Sample Questions Below are 10 sample multiple choice questions from the ACT International Subject Test: English I
Directions: Each passage in this test is followed by several questions. After reading a passage, choose the best answer provided for each question and circle the corresponding letter. You may refer to the passages as often as necessary.
Our House in the Last World and apricot ice cream topped with hot fudge, cocoanut, and a high swirl of fresh Down in the cool basement of the whipped cream. This being served, Alejo hotel restaurant, Alejo Santinio looked picked out the plumpest cherry from a over a yellowed newspaper clipping bowl and nimbly placed it atop the dating back to 1961. He had not looked 45 dessert. 5 at it recently, although in the past had always been proud to show it to visitors. Delighted, the premier whispered to And why? Because it was a brief moment the translator, who said, “The premier of glory. In the picture Alejo and his wishes to thank you for this friend Diego were in their best dress 50 masterpiece.” 10 whites standing before a glittering case As Diego and Alejo bowed, lightbulbs of desserts. Beside them was a fat, cheery beaming face, the Soviet premier and cameras flashed all around them. Nikita Khrushchev, who was attending a They were ready to wheel the cart back luncheon in his honor at the hotel. when the premier rose from the table to 55 shake Diego’s and Alejo’s hands. Then Alejo always told the story: The through the translator he asked a few 15 governor and mayor were there with the questions. To Alejo: “And where do you premier, who had “great big ears and a come from?” bright red nose.” The premier had dined on a five-course meal. The waiters and “Cuba,” Alejo answered in a soft 60 voice. 20 cooks, all nervous wrecks, had fumbled around in the kitchen getting things in “Oh yes, Cuba,” the premier said in order. But outside they managed an halting English. “I would like to go there orderly composed appearance. After the one day. Cuba.” And he smiled and meal had been served, the cooks drew patted Alejo’s back and then rejoined the 25 lots to see who would wheel out the 65 table. A pianist, a violinist, and a cellist dessert tray. Diego and Alejo won. played a Viennese waltz. Alejo put on his best white uniform Afterward reporters came back into the and apron and waited in the foyer, while, kitchen to interview the two cooks, and outside, news reporters fired off their 30 cameras and bodyguards stood against 70 the next morning the Daily News carries a picture of Alejo, Diego, and the walls, watching. Alejo and Diego did Khrushchev with a caption that read: not say anything. Alejo was bewildered DESSERT CHEFS CALL PREMIER by the situation: Only in America could a HEAP BIG EATER. It made them into worker get so close to a fat little guy with celebrities for a few weeks. enormous power. 35 75 When the time came they filled up Adapted from Oscar Hijuelos, Our House in the shiny bowls with ice cream, brought out Last World. © 1983 by Oscar Hijuelos. the sauces and hot fudge, and loaded them all onto a dessert cart. Alejo was in 40 charge of cherries. They went out behind the maitre d’ and stood before the
15 1) What indicates that the events described in the first paragraph happened long ago?
2) As suggested by the passage, why do the kitchen staff compete for the right to wheel out the dessert tray?
A. Agitated
B. Desperate
C. Organized
D. Poised
A. Ceremonial
B. Frantic
C. Informal
D. Uncomfortable
16 The Indian Dog I was crushed at the time, but When I was growing up I lived in a strangely reconciled, too, as if I had pueblo in New Mexico. There one day I perceived intuitively some absolute truth bought a dog. I was twelve years old, the beyond all the billboards of illusion. bright autumn air was cold and delicious, and the dog was an unconscionable The Indian dog had done what it had 5 to do, had behaved exactly as it must, bargain at five dollars. 50 had been true to itself and to the sun and It was an Indian dog; that is, it moon. It knew its place in the scheme of belonged to a Navajo man who had things, and its place was there, with its come to celebrate the Feast of San right destiny, in the tracks of the wagon. 10 Diego. It was one of two or three rangy In my mind’s eye I could see it at that 55 animals following in the tracks of the very moment, miles away, plodding in the man’s covered wagon as he took leave familiar shadows, panting easily with of our village on his way home. Indian relief, after a bad night, contemplating dogs are marvelously independent and the wonderful ways of man. 15 resourceful, and they have an idea of 60 Caveat emptor. But from that themselves, I believe, as knights and philosophers. experience I learned something about the heart’s longing. It was a lesson worth The dog was not large, but neither many times five dollars. was it small. It was one of those 20 unremarkable creatures that one sees in Adapted from N. Scott Momaday, “The Indian every corner of the world, the common Dog.” © 1997 by N. Scott Momaday. denominator of all its kind. But on that day—and to me—it was noble and brave and handsome.
6) What literary device does the author use in the underlined portion of lines 13-17?
A. Alliteration
B. Metaphor
C. Oxymoron
D. Personification
17 7) What does the use of the word “resourceful” (line 15) suggest about Indian dogs?
8) Based on the third paragraph (lines 18-24), which word best describes the appearance of the dog?
A. Attractive
B. Ordinary
C. Skinny
D. Uncommon
9) What does the author mean when he says that the dog must “shift the focus of its vitality from one frame of reference to another” (lines 28-30)?
10) What does the author suggest when he says “I had read such a future in its eyes” (lines 39-40)?
18 Sample Questions Below are 10 sample multiple choice questions from the ACT International Subject Test: English II Directions: Each passage in this test is followed by several questions. After reading a passage, choose the best answer provided for each question and circle the corresponding letter. You may refer to the passages as often as necessary.
19 2) What literary device does the author use to compare inner and outer space in lines 16-21?
A. Analogy B. Foreshadowing C. Onomatopoeia D. Personification
3) What does the sentence “Music | heard with you was more than music” (lines 33-34) suggest
4) What type of evidence does the author use to support her arguments about the solitary life?
A. Interviews B. Observations C. Statistics D. Surveys
5) What does the author imply about the feeling of loneliness in lines 52-677
20 My Grandmother’s Love Letters
A. Anxious
B. Puzzled
C. Reflective
D. Sorrowful
7) What does the speaker imply when he observes that letters are as “liable to melt as snow” (line 11)?
21 8) What is the meaning of “space” as used in line 12?
A. Air
B. Memory
C. Silence
D. Stars
10) What literary device does the poet use in lines 25-267?
A. Hyperbole
B. Onomatopoeia
C. Personification
D. Simile
22 Sample Questions Below are 10 sample multiple choice questions from the ACT International Subject Test: US History Directions: Choose the best answer provided for each question and circle the corresponding letter.
1) Which statement best describes President Jefferson’s feelings about Louisiana Purchase?
A. Nativism B. Prohibition C. Suffrage D. Temperance
3) Why did many Northerners strongly object to the 1846 war with Mexico?
23 4) Prior to United States entry into World War |, what factor most challenged its neutrality?
5) A first-generation German immigrant living in the United States in 1917 would most likely have faced which challenge?
7) The following statements from the 1880s express the sentiments of suffragettes prior to the advent of the Progressive Era.
“The ignorance and indifference of the majority of women, as to their status as citizens of a republic, is not remarkable, for history shows that the masses of all oppressed classes, in the most degraded conditions, have been stolid and apathetic until partial success had crowned the faith and enthusiasm of the few”
“But when at last woman stands on an even platform with man his acknowledged equal everywhere, with the same freedom to express herself in the religion and government of the country, then, and not until then. . . will he be able to legislate as wisely and generously for her as for himself.”
Using your knowledge of the Progressive Era (1890s-1920s), write an essay in which you assess whether or not attempts by the progressive movement to achieve equality for women were successful. In your essay, discuss TWO of the following to support your analysis:
• Birth control • The Seventeenth Amendment (Direct election of senators) • The Nineteenth Amendment (Women’s suffrage)
24 www.connecme.com connecme.actclub.org/
ACT is committed to representing the diversity of society in all its aspects, including race, ethnicity, and gender. ACT employs extensive reviews and statistical procedures to ensure the fairness of test materials. ACT conducts research and periodically updates tests to provide test content that reflects classroom instruction and continues to be a relevant predictor of college and career readiness. There may be differences between the ACT practice questions in this booklet and the test students take on test day. ACT endorses the Code of Fair Testing Practices in Education and the Code of Professional Responsibilities in Educational Measurement, which guide the conduct of those involved in educational testing. ACT is committed to ensure that each of its testing programs upholds the guidelines in each Code. You may locate copies of these Codes through the following organizations: • Code of Fair Testing Practices in Education: 25 American Psychological Association (www.apa.org) • This document is covered by international copyright laws that prohibit the reproduction of the test questions without the prior express, written permission of ACT, Inc and ConnecME Education. No portion of this booklet may be copied or distributed without written permission of ACT and ConnecME Education.
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