PSAT Math Practice Test Author: Scholarshipsgist Published Date: September 6, 2019 Leave a Comment on PSAT Math Practice Test Welcome to your PSAT Math Practice Test The free PSAT Math practice test is specifically designed to ensure that the test-taker is knowledgeable about the PSAT and is able to know what to expect when it is time to take the Math portion of the PSAT. The diagram shows the outline of a racetrack for skaters, which consists of two long straight sections and two semi-circular turns. Given the dimensions shown, which of the following most closely measures the perimeter of the entire track? 300 yards 180 yards 425 yards 360 yards 395 yards This question is based on the following table:The table shows the cost of renting a bicycle for 1, 2, or 3 hours. Which of the following equations best represents the data, if C represents the cost and h represents the time of the rental? C = 10.80/h C = 3.60h C = 3.60h + 10.80 C = h + 3.60 C = 3.60 + 7.20h What is the value of a if (2a + 3) − (4a − 8) = 7 ? 23 2 4 5An airplane leaves Atlanta at 2 PM and flies north at 250 miles per hour. A second airplane leaves Atlanta 30 minutes later and flies north at 280 miles per hour. At what time will the second airplane overtake the first? 7:10 PM 6:40 PM 6:20 PM 6:00 PM 6:50 PMA sailboat is 19 meters long. What is its length in inches? 748 21 254 4826 1094 Tyra subscribes to an online gaming service that charges a monthly fee of$5.00 and $0.25 per hour for time spent playing premium games. Which ofthe following functions gives Tyra’s cost, in dollars, for a month in whichshe spends x hours playing premium games?A) C(x) = 5.25xB) C(x) = 5x + 0.25C) C(x) = 5 + 0.25xD) C(x) = 5 + 25x D A C BIf x + y > 0 when x > y, which of the following cannot be true? x = 6 and y = -1 x = -3 and y = 0 x = -4 and y = -3 x = 3 and y = -3 x = 3 and y = 0A babysitter earns $8 an hour for babysitting 2 children and an additional$3 tip when both children are put to bed on time. If the babysitter gets thechildren to bed on time, what expression could be used to determine howmuch the babysitter earned?A) 8x + 3, where x is the number of hoursB) 3x + 8, where x is the number of hoursC) x(8 + 2) + 3, where x is the number of childrenD) 3x + (8 + 2), where x is the number of children B A D CIf 12/X = 30/6 , what is the value of x ? 3.0 2.0 2.75 3.6 2.4 In a certain game, a player can solve easy or hard puzzles. A player earns30 points for solving an easy puzzle and 60 points for solving a hardpuzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950points in all. How many hard puzzles did Tina solve?A) 10B) 15C) 25D) 35 A D C BWhich of the following is a solution to the inequality 4x − 12 < 4? 6 5 7 3 4The question bellow is based on the following diagram:Find the length of the side labeled x . The triangle represented in the figure is a right triangle, as shown. 24 20 18 25 22The equation above is used to model the relationship between the numberof cups, n, of hot chocolate sold per day in a coffee shop and the averagedaily temperature, T, in degrees Fahrenheit. According to the model, whatis the meaning of the 3 in the equation?A) For every increase of 3°F, one more cup of hot chocolate will be sold.B) For every decrease of 3°F, one more cup of hot chocolate will be sold.C) For every increase of 1°F, three more cups of hot chocolate will be sold.D) For every decrease of 1°F, three more cups of hot chocolate will be sold D A C Bp(x) = 3(x2 + 10x + 5) − 5(x − k)In the polynomial p(x) defined above, k is a constant. If p(x) is divisible byx, what is the value of k?A) −3B) −2C) 0D) 3 B A D CA motorcycle manufacturer offers 3 different models, each available in 6 different colors. How many different combinations of model and color are available? 18 9 24 6 12The figure shows an irregular quadrilateral and the lengths of its individual sides. Which of the following equations best represents the perimeter of the quadrilateral? m4 + 5 4m + 5 4m2 + 5 2m4 + 5 5m + 5Your new question!A car traveled at an average speed of 80 miles per hour for 3 hours andconsumed fuel at a rate of 34 miles per gallon. Approximately how manygallons of fuel did the car use for the entire 3-hour trip?A) 2B) 3C) 6D) 7 D B C AMrs. Patterson’s classroom has sixteen empty chairs. All the chairs are occupied when every student is present. If 2/5 of the students are absent, how many students make up her entire class? 16 40 32 36 24In the xy-plane, if the parabola with equation y = ax2 + bx + c, where a, b,and c are constants, passes through the point (−1, 1), which of thefollowing must be true?A) a − b = 1B) −b + c = 1C) a + b + c = 1D) a − b + c = 1 A B C DIf x − 2 is a factor of x2− bx + b, where b is a constant, what is the value ofb ? 3 5 6 4A high school basketball team won exactly 65 percent of the games itplayed during last season. Which of the following could be the totalnumber of games the team played last season?A) 22B) 20C) 18D) 14 D C B AWhich of the following expressions is equivalent to x3x5? x2 2x8 x8 2x15 x15Boyd grows only tomatoes and raspberries in his garden. Last year, hegrew 140 pounds of tomatoes and 60 pounds of raspberries. This year, theproduction, by weight, of tomatoes declined by 20 percent, and theproduction, by weight, of raspberries declined by 50 percent. By whatpercentage did the total yield, by weight, of Boyd’s garden decline?A) 29 percentB) 30 percentC) 35 percentD) 70 percent B C D AIf a = -6 and b = 7, then 4 a( 3 b + 5) + 2 b = ? -638 610 -610 624 638A soda company is filling bottles of soda from a tank that contains 500gallons of soda. At most, how many 20-ounce bottles can be filled from thetank? (1 gallon = 128 ounces)A) 25B) 78C) 2,560D) 3,200 C A D BJanice puts a fence around her rectangular garden. The garden has alength that is 9 feet less than 3 times its width. What is the perimeter ofJanice’s fence if the area of her garden is 5,670 square feet?A) 342 feetB) 318 feetC) 300 feetD) 270 feet C B A DTo cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 perhour spent cutting a lawn. Taylor charges a fee of $12 for his equipmentand $9.25 per hour spent cutting a lawn. If x represents the number ofhours spent cutting a lawn, what are all the values of x for which Taylor’stotal charge is greater than Allan’s total charge?A) x > 4B) 3 ≤ x ≤ 4C) 4 ≤ x ≤ 5D) x < 3 A D C BRachel spent $24.15 on vegetables. She bought 2 lbs of onions, 3 lbs of carrots, and 1 ½ lbs of mushrooms. If the onions cost $3.69 per lb, and the carrots cost $ 4.29 per lb, what is the price per lb of mushrooms? $2.75 $3.10 $2.25 $2.80 $2.60In a college archaeology class, 78 students are going to a dig site to findand study artifacts. The dig site has been divided into 24 sections, and eachsection will be studied by a group of either 2 or 4 students. How many ofthe sections will be studied by a group of 2 students? 3 6 3 9 Author: ScholarshipsgistA Blogger, Web Developer, Educationalist, And I Love To Share Helpful Information.