SAT Practice Test 3 Math Test: Calculator, for Assistive Technology
Post on 31-Dec-2016
Turn to Section4 of your answer sheet to answer the questions in this section.
DirectionsFor questions 1 through 30, solve each problem, choose the best answer from the choices provided, and fill in the corresponding circle on your answer sheet. For questions31 through 38, solve the problem and enter your answer in the grid on the answer sheet. Please refer to the directions before question 31 on how to enter your answers in the grid. You may use scratch paper for scratch work.
Notes1.The use of a calculator is permitted.2.All variables and expressions used represent real numbers unless otherwise indicated.3.Figures provided in this test are drawn to scale unless otherwise indicated.4.All figures lie in a plane unless otherwise indicated.5.Unless otherwise indicated, the domain of a given function f is the set of all real numbers x for which f of x is a real number.
Begin skippable figure descriptions.The figure presents information for your reference in solving some of theproblems.
Reference figure1 is a circle with radiusr. Two equations are presented below reference figure1.A equals pi times the square ofr.C equals 2 pir.
Reference figure2 is a rectangle with length and widthw. An equation is presented below reference figure2.A equals w.
Reference figure3 is a triangle with base b and heighth. An equation is presented below reference figure3.A equals onehalfbh.
Reference figure4 is a right triangle. The two sides that form the right angle are labeleda andb, and the side opposite the right angle is labeledc. An equation is presented below reference figure4.c squared equals a squared plus b squared.
Special Right TrianglesReference figure5 is a right triangle with a 30degree angle and a 60degree angle. The side opposite the 30degree angle is labeledx. The side opposite the 60degree angle is labeledx times the squareroot of3. The side opposite the right angle is labeled2x.
Reference figure6 is a right triangle with two 45degree angles. Two sides are each labeleds. The side opposite the rightangle is labeled stimes the squareroot of2.
Reference figure7 is a rectangular solid whose base has length and widthw and whose height ish. An equation is presented below reference figure7.V equalswh.
Reference figure8 is a right circularcylinder whose base has radiusr and whose height ish. An equation is presented below reference figure8.V equals pi times the square of rtimesh.
Reference figure9 is a sphere with radiusr. An equation is presented below reference figure9.V equals fourthirds pi times the cube ofr.
Reference figure10 is a cone whose base has radiusr and whose height ish. Anequation is presented below reference figure10.V equals onethird times pi times the square of rtimesh.
Reference figure11 is an asymmetrical pyramid whose base has length and widthw and whose height ish. An equation is presented below reference figure11.V equalsonethirdwh.End skippable figure descriptions.
Additional Reference InformationThe number of degrees of arc in a circle is360.The number of radians of arc in a circle is 2pi.The sum of the measures in degrees of the angles of a triangle is180.
The S A TPage 70Copyright 2015 by the College BoardW F-5LSA08Question 1 refers to the following figure.
Begin skippable figure description.The figure presents a graph titled MarilynsHike in a coordinate plane. The horizontal axis has 4 equally spaced tick marks labeled, from left to right, 12P.M., 1P.M., 2P.M., and 3P.M., and there are vertical gridlines at those tick marks. The vertical axis is labeled Distance from campsite, in miles, and the numbers0, to2.0, in increments of 0.5, appear along the vertical axis. There are horizontal gridlines at those numbers. In the figure, a curve starts off at 12P.M. at 0mile, moves upward and to the right while it fluctuates, passing 1P.M. at a distance of 1.25miles, until it stops fluctuating at a time that is one sixth of the hour past 1P.M. Then it moves horizontally until a time that is two thirds of the hour past 1P.M. The curve starts moving upward and to the right, until it crosses 2P.M. at about 1.6miles. The curve then fluctuates down and to the right until it stops at 3P.M. at 0mile.End skippable figure description.
Question 1.The preceding graph shows Marilyns distance from her campsite during a 3hour hike. She stopped for 30minutes during her hike to have lunch. Based on the graph, which of the following is closest to the time she finished lunch and continued her hike?A.12:40P.M.B.1:10P.M.C.1:40P.M.D.2:00P.M.
Explanation for question 1.
Question 2 refers to the following figure.
Begin skippable figure description.The figure presents a table with age and gender distributions. The table has 4columns: the first column heading is Gender. The second and third column headings are ages: Under 40, and, 40 or older, both under the heading Age. The fourth column heading is Total. According to the table, the three rows of data are as follows.
Row1, male, 12 are under age40, and 2 are age 40 or older, making a total of 14.Row2, female, 8 are under age40, and 3 are age 40 or older, making a total of 11.Row3, total, 20 are under age40, and 5 are age 40 or older, making a total of 25.End skippable figure description.
Question 2.The preceding table shows the distribution of age and gender for 25people who entered a contest. If the contest winner will be selected at random, what is the probability that the winner will be either a female under age40 or a male age40 orolder?A. 4 over 25B. 10 over 25C. 11 over 25D. 16 over 25
Explanation for question 2.
Question 3 refers to the following figure.
Begin skippable figure description.The figure presents a line graph titled Annual Music Album Sales. The horizontal axis is labeled Years since 1997 and years0 through12 appear along the axis. The vertical axis is labeled Sales, in millions of music albums, and numbers 0 to 1,000, in increments of 200, appear along the axis. There are horizontal gridlines at every 50. According to the graph, the annual sales over the 13year period can be summarized as follows. The annual sales in year0 are 650million; the sales go up each year until year3. Then the sales start going down each year for three years, and after one year of a slight increase the sales go down every year until year12 with the annual sales of about 355million.End skippable figure description.
Question 3.Based on the preceding graph, which of the following best describes the general trend in music album sales from 1997 through 2009?A.Sales generally increased each year since 1997.B.Sales generally decreased each year since 1997.C.Sales increased until 2000 and then generally decreased.D.Sales generally remained steady from 1997 through 2009.
Explanation for question 3.
Question 4 refers to the following figure.
Begin skippable figure description.The figure presents a table with 2rows and 4columns of values. From top to bottom, the row heading of the first row is, n, and the row heading of the second row is, f of n. From left to right, the values of the first row are, 1, 2, 3, and 4; the values of the second row are, negative 2, 1, 4, and 7.End skippable figure description.
Question 4.The preceding table shows some values of the linear functionf. Which of the following definesf?A. f of n equals n minus 3B. f of n equals 2n minus 4C. f of n equals 3n minus 5D. f of n equals 4n minus 6
Explanation for question 4.
Question 5.At Lincoln High School, approximately 7percent of enrolled juniors and 5percent of enrolled seniors were inducted into the National Honor Society last year. If there were 562juniors and 602seniors enrolled at Lincoln High School last year, which of the following is closest to the total number of juniors and seniors at LincolnHigh School last year who were inducted into the National Honor Society?A.140B.69C.39D.30
Explanation for question 5.
Question 6 refers to the following polynomials. 3x squared minus 5x plus 2 5x squared minus 2x minus 6
Question 6.Which of the following is the sum of the preceding two polynomials?A. 8x squared minus 7x minus 4B. 8x squared plus 7x minus 4C. 8 x raised to the power 4, minus 7 x squared, minus 4D. 8 x raised to the power 4, plus 7 x squared, minus 4
Explanation for question 6.
Question 7.If three fifths w equals four thirds what is the value ofw?A. the fraction 9 over 20B. the fraction 4 over 5C. the fraction 5 over 4D. the fraction 20 over 9
Explanation for question 7.
Question 8.The average number of students per classroom at Central High School from 2000to 2010 can be modeled by the equation y equals 0.56 x plus27.2, where x represents the number of years since 2000, and y represents the average number of students per classroom. Which of the following best describes the meaning of the number 0.56 in the equation?A.The total number of students at the school in 2000B.The average number of students per classroom in 2000C.The estimated increase in the average number of students per classroom eachyearD.The estimated difference between the average number of students per classroom in 2010 and in 2000
Explanation for question 8.
Question 9.Nate walks 25meters in 13.7seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in 4minutes?A.150metersB.450metersC.700metersD.1,400meters
Explanation for question 9.
Question 10 and 11 refer to the following information.
PlanetAcceleration due to gravity parenthesis, meters per second, squared, close parenthesis
The preceding chart shows approximations of the acceleration due to gravity in meters per secondsquared parenthesis, meters per second, squared, close parenthesis, for the eight planets in our solar system. The weight of an object on a given planet can be found by using the formula W equals mg whereW is the weight of the object measured in newtons, m is the mass of the object measured in kilograms, and g is the acceleration due to gravity on the planet measured in meters per second squared.
Question 10.What is the weight, in newtons, of an object on Mercury with a mass of 90kilograms?A.25B.86C.101D.324
Explanation for question10.
Question 11.An object on Earth has a weight of 150newtons. On which planet would the same object have an approximate weight of 170newtons?A.VenusB.SaturnC.UranusD.Neptune
Explanation for question11.
Question 12.If the functionf has five distinct zeros, which of the following could represent the complete graph off in the xyplane? Each option is a graph of a smooth curve in the x y-plane. All the graphs show the same curve that is placed in a different vertical position. The starting and ending points are above the xaxis with one on either side of the yaxis.A. From left to right, the curve goes down from the starting point, crossing the xaxis, goes further down to its low point, and then moves up, crossing the xaxis again. The curve then fluctuates up and down below the xaxis and finally stops at the end point, crossing the xaxis altogether 4times.
B. From left to right, the curve goes down from the starting point, crossing the xaxis, goes further down to its low point, and then moves up, crossing the xaxis again. The curve then fluctuates up and down, crossing the xaxis altogether 4times before stopping at the end point.
C. From left to right, the curve goes down from the starting point, crossing the xaxis, goes further down to its low point, and then moves up, crossing the xaxis again. The curve then fluctuates up and down, crossing the xaxis altogether 6times before stopping at the endpoint.D. From left to right, the curve goes down from the starting point, crossing the xaxis, goes further down to its low point, and then moves up, crossing the xaxis again. The curve then fluctuates up and down, crossing and touching the xaxis altogether 5times before stopping at the end point.
Explanation for question12.
Question 13 is based on the following equation. h equals negative 16t squared, plus vt, plus k
Question 13.The preceding equation gives the heighth, in feet, of a ball tseconds after it is thrown straight up with an initial speed of vfeet per second from a height of kfeet. Which of the following gives v in terms of h, t, andk?A. v equals h plus k minus 16 tB. v equals the fraction whose numerator is, h minus k plus 16, and whose denominator is tC. v equals the fraction whose numerator is h plus k, and whose denominator is t, end fraction, minus 16 tD. v equals the fraction whose numerator is h minus k, and whose denominator is t, end fraction, plus 16 t
Explanation for question13.
Question 14.The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the following equations represents the total cost c, in dollars, for hhours of phone use?A. c equals 0.20, parenthesis, 60 h, close parenthesisB. c equals 0.20 h plus 60C. c equals the fraction, 60 h over 0.20D. c equals the fraction, 0.20 h over 60
Explanation for question14.
Question 15.In order to determine if treatmentX is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, 300participants were selected at random. Half of the participants were randomly assigned to receive treatmentX, and the other half did not receive treatmentX. The resulting data showed that participants who received treatmentX had significantly improved eyesight as compared to those who did not receive treatmentX. Based on the design and results of the study, which of the following is an appropriate conclusion?A.TreatmentX is likely to improve the eyesight of people who have poor eyesight.B.TreatmentX improves eyesight better than all other available treatments.C.TreatmentX will improve the eyesight of anyone who takes it.D.TreatmentX will cause a substantial improvement in eyesight.
Explanation for question15.
Question 16 refers to the following figure.
Begin skippable figure description.The figure presents a graph of two curves in the xy-plane. The horizontal axis is labeledx, and the vertical axis is labeledy. There are evenly spaced horizontal and vertical gridlines along the axes. The first vertical gridline to the right of the yaxis is one unit from the yaxis, and the second horizontal gridline above the xaxis is 2units from the xaxis.
The two curves in the graph look like parabolas; one opens up and another opens down. The curve that opens up has its lowest point 4units directly below the highest point of another curve that opens down. Both curves are symmetric with respect to the vertical gridline that is 2units to the left of the yaxis, and they intersect at two points below the xaxis.
The curve that opens up is...