ACT Past Papers with Answers

b is at least 3 more thall c Which of the following inequalities expresses the same relationship between a and c as given by the 2 conditions? a>c+3 a2c+8

Which of the following iutegers is NOT a faGtor of 132?

Carlotta is helping her grandfather center a large framed picture on his living room wall. As shown m the figure below, tbe rectangular wall is 24 feet long. and the rectangular framed picture is 4.5 feet bigh and

75 F-7.5-4 24

What is the value of 80- 5(£- y) + y when x- 4 and y=6? DO YOUR FIGURING HERE. 76

At the Winter Weather Store, the price of I hat is $12 and the price of I scarf is $14. Jovon spent $128 to buy 10 items-a combination of hats and scarves. How many hats did he buy?

Which of the following graphs shows the solutioll set for the inequality 6x - 5 2 7 ?

In the circle orapb. what is the angle measure of the sector that represents the number of students who responded to the survey who sel¢cted Tennis?

A spinner dlal from a game is shown in tbe figure below. Each numbered sector of the circle has the same central angle measure. If the arrow on the spinner dial is spun randomly, what is the probability the arrow will point to a sector wbose number is both a multiple of 3 and a multiple of 4 ? DO YOUR FIGURING HERE. 22 24 12 32 36 18

The counselors at Lakewood High School interviewed 200 students to determine placement in 3 different honors courses: Math, Chemistry, and Literature. The numbers of these students placed in these honors courses are shown in the Venn diagram below. Of these 200 students, IO% were placed into all 3 honors courses. and 35% were placed into exactly 2 honors courses. What percent of the students were placed into exactly I bonors course? Lakewood High School Honors Course Placement Math 10 Chemisty

One sign flashes every 4 seconds, and anDther sign flashes every 14 seconds. At a certain instant, the 2 signs flash at the same time. How many seconds elapse until the 2 signs next flash at the same timé?

The surn of (-2+ + Ir + 8) and which of the following polynomials is (xè + 3) ? 3I+2T+II -, 7x +lr+5 -7/+5

The expression is equal to: 18 19 18 19

Ava starts with a long list of numbers. each of which she must multiply by and then divide by 6. She could get the same result8 by multiplying each number on her list by which of the following numbers?

When 6x= 2J- 18 is graphed in the standard (x.y) coordinate plane, what is the y-intercept? DO YOUR FIGURING HERE.

Given functions flx) = x - 5 and g(x) = 5 - I. what is f(g(4)) ? 16

For right triangle AABC shown below, which of the following expressions has a value that is equal to cosA ? sinB cosB 9 feet 15 feet 12 feet

The equation y - is graphed in the standard (x)y) coordinate plane .below, No point oll the graph has which of the following x-coordinates? x+3 1 2 3 4 x

The Wilson famiIy sold a shipm¢nt of walnuts to a farming cooperative for $210 at the rate of $0.03 per pound. If their shipment averaged 12 walnuts per pound. which of the following is close&t to the total number of walnut5 in the shipment? . 580 840 7,000 7,600

Over a 7-day period at Phil's Fitness, the average attendance of the slowest day and the busiest day was 247 ￿eMberS. The average of the other 5 days was also 247 members. The total attendance for tbc 7-day period at Phil's Fitness was how many members? 247 494 DO YOUR FIGURING HERE.

Which of the following values is a zero of f(x) = 2x 5/-12x?

The sum of a sequence of consecutive odd numbers, where the smallest term is I, is always a perfect square.Forexample,1+3=2 andl+3+5+7-4. One of. the sequences described above has a. sum of

What is the slope of the line that passes througb the points (-2.5) and (3,4) in the standard (x.y) coordinate plane?

For any point Z(p.q) on the parabola, which of the following points must also be on the parabola?

What is the va]ue of a if the coordinates of Z are (5, 1(KJ) ? 20

Suppose that the parabola is rotated clockwise (C) by 90° about the origin. Which of the following'is an equation for the parabola that results from this rotatioll?

For all k>O. Ixl lyl solutions? -k has how many (x,y)

A Ferris wheel is turning at a constant speed during of its rotations. Let t represent the time that has elapsed since the wbeel started turning and let h represent the beight above ground level of a certain seat on the wheel. The seat is at its minimum beight at t= a seconds and is at its maximum height at b seconds. One of the following graphs represents the relationship between t and h during this rotation. Which one? DO YOUR FIGURING HERE.

In the figute below. C lies in th¢ interior of the acute angle ZABD. and D lies in the interior of the acute angle ZCBE. The measure of ZABE is 75°. the measure of ZABC is 25°. and tbe measure of ZDBE is 35°. What is the measure of ZABD ? 15° 35°

Li is standing at poillt L on the north side of the small canyon shown in the figure below. As measured by line of sight, Li is 2 miles from an observation tower at T, and she is 3 miles from a scenic overlook at S. Li, the observation tower, and the scenic overlook are all at the same elevation. The measure of IS is 28°. Which of the followlllg equations, when solved, gives the measure of 2T ? DO YOUR FIGURING HERE. (Note: For a triattgle with sides of length a, b. and c that are opposite ZA, ZB, and ZC. 'respectively, sinA sinB sinc canyon .28 sinT sin 28° sinT sinT sin 28° sin28° sin T- sin 28°

A Child's dose of medicine is often based on an adult. dose of medicine. For some medicines. Cowling's rnle. D(a+l) relates the dose of d milligrams for a child of age a years to the adult dose of D milligrams. Which of the following expressions gives a in ternis of Dandd? DO YOUR FIGURING HERE. 24d 24d 24d- I

For all x > O, which of the following expressions is logx logl+log log2+-logx log2+-logx (log 2)(log x)

In AACD shown below, BE is parallel to CD. aDd the given lengths are in feet. Given that CD denotes the length, in feet. of CD, which of the following propoItiOllS involving CD must be true? 16 28 CD 12 16 16 CD_ 28 16 CD_16 28 12 CD_ 28 320

The graph of y = a sill bx is shown below.for certain positive values of a and b. One of the following values is equal to a. Which one? DO YOUR FIGURING HERE.

Tbe graph below illustrates the normal distribution curve. The percent of the data that falls within each standard deviation from the mean is given to the nearest 0.1%.

Ivhich of the following sets of 3 lengths. in decimeters. are the side lengths of an obtuse triangle? (Note: An obtuse triangle bas l angle whose measure is greater than 90° and less than 180°.) DO YOUR FIGURING HERE. IL {8. 11, 16}

Angle A measures -￿ radians from its initial side to its terniinal side. Angle B has the san]e initial side and terniinal side as ADgle A. Which of the following measures could be that of Angle B ? 14°

A polynomial in x has m nonzero tenns. Another polynomial in x has n aonzero ternis. wber¢ m < n. These polynomials are multiplied and all like terms are combined. The iesulting polynomia] in x has a maximum of how many nonzero tern￿? nz+n m+n mn

Which of the following graphs best represents the system of inequaliues below? iogx<40 O<yg30 y2--x+lO <-x+45

In the diagram below, chord EF is parallel to diameter AB. The length of EF is 10 inches and the length of AB is 14 inches. What is the distance. in inches, from C, the center of the circle, to D, the midpoint of EF ? DO YOUR FIGURING HERE. 10 inches 14 inches

The entire graph of y=f(x) is shown in the 8tsDdard (x,y) coordinate plane below. One of the following sets is the domain off. Ivhich set?

Let the values of real numbers a. b, and c be restricted by the 2 conditions given below. l. a is 5 less than b

Let m and n be llonzero real numbers such that +l 2m. Which of the followiDg is all ¢xpression for in ternis of m ? B4-3 IL 8m END OF TEST 2 STOP! DO NOT TURN THE PAGE UNTIL TOLD TO DO SO. DO NOT RETURN TO THE PREVIOUS TEST.