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UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed 5 1 x is such that -1<x<0 x 2 32/160 in decimal 3 line that has the highest y-value when x=6 4 B Answer 4 x 0.1875 y = 2x+50 y=30x + 2 Fraction of 48 minutes in 2 hrs Dec-60 The fourth grade has 364 students in it. They are taking a 5 23 field trip, and each bus can fit 22 people in it. How many students will be on the last bus? 6 Area of a 23.5 cm by 19.5 cm rectangle 2 Area of a circle with a chord length 5 cm. 2 7 3 pi 6 pi 8 |3156-2432| |1357-6589| 9 75% of 440 330 What is the percent increase when an 10 item that usually sells for 75 cents a 10% pound is sold for 81 cents? © www.prepository.com Page 1 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer A computer software retailer 11 $41 used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25. Adi has 2 different coupons for 12 different amounts and he wants to buy a computer bag for $60. Money Adi saves using '$15 off' coupon Money Adi saves using '1/6 off' coupon Harry earns $500 every month except for July and August when he 13 vacations and earns nothing. What is $500 his average monthly income for the entire year? 14 Value of x in -4x + 2 = -14 -3 In a bag of small balls 1/4 are green, 15 1/8 are red, 1/6 are yellow and the remaining 22 white. How many balls 6 are red? © www.prepository.com Page 2 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older 16 12 than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old? 17 (8x10-3) – (2x10-2) -0.012 The division of a whole number 18 200 N by 13 gives a quotient of 15 and a remainder of 2. Find N. A person jogged 10 times along the perimeter of a rectangular field at 19 the rate of 12 meters per hour for 30 36 meters minutes. What is the perimeter of the rectangular field? Calculate the circumference of a 20 circular field whose radius is 5 .314 cms centimeters. © www.prepository.com Page 3 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer N is such that when multiplied 21 1 1/2 by 0.75 gives 1. Which number is equal to N? Ryan had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 22 on Tuesday, 100 on Wednesday, 25 on 60% Thursday and 150 on Friday. What percentage of the books were not sold? The rectangular playground in Tim's school is three times as 23 40 meters long as it is wide. The area of the playground is 75 square meters. What is the perimeter of the playground? 24 © www.prepository.com How many inches are in 3 yards 1 feet? 60 inches Page 4 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer John bought a shirt on sale for 20% off the original price and 25 $25 another 20% off the discounted price. If the final price was $16, what was the price before the first discount? What is the sum of the number of 26 edges of a cube, number of corners 22 of a cube, and faces of a cube? A veggie patty weighs 80 grams, of 27 which 30 grams are filler. What 65% percent of the patty is not filler? Leslie, Ava, Eva and Daisy occupy four chairs in a square dining table. Leslie and Ava want to sit directly facing 28 each other. There are two seats in either side of the table facing each 4 other. How many possible ways can they be seated in the dining table chairs? © www.prepository.com Page 5 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer The mean of 5 positive numbers is 55. 29 If a sixth positive number is added to 70 the set, the mean increases to 60. What is the sixth number? 30 31 32 How many integers between 100 and If 20% of a number is 12, what is 34 35 © www.prepository.com 5 30% of the same number? The Product of two prime numbers is 22 85. What is the sum of these two prime numbers? 33 5 500 have 20, and 25 as factors? Sum of remainders when divided by 5 12,20,23,25,34 What is 3/4 of 11/8? Sum of five smallest positive multiples of 3 Sum of remainders when divided by 4 12,20,23,25,34 1 55 Page 6 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer Selena adds 1/2 cup of blueberries in a bowl and her son takes 1/4 cup of 36 blueberries. Then Selena adds 2/3 1 cup cup more of blueberries. How many cups are in the bowl now? Diya took 10 days to read a book. She read an average of 25 pages per day for the first 3 days, an average of 35 37 pages per day for the next 4 days and 270 an average of 40 pages per day for the remaining days. How many pages were in the book? 38 1 half gallon of milk costs $3.49. What is the cost per ounce of milk. 0.4 Kay needs 80 inches of a yarn to complete a crochet square. She has 39 six and a half feet of yarn. How many 2 inches of yarn will remain after she takes the 80 inches. © www.prepository.com Page 7 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer Ed's new car can go 30 miles on a gallon of gas, and if he travels to 39 work by his new car everyday, and the 10 distance between his home and office is 30 miles, how many gallons of gas will be needed for a 5 day week. Three rectangles have a common width of 2 cms but have as lengths 40 20 the first three prime numbers in cms. What is the sum of the perimeter of the three rectangles? There are four more boys than girls in Ms. Kelsey's class of 30 students. 41 What is the ratio of number of girls 17/13 to the number of boys in her class in the form of a fraction? 42 43 44 © www.prepository.com Solve the proportion. 5 (x−1) / 3 = (x+1) / 5 The least value of x that satisfies the 35 inequality 5x - 60 > 100 2 3 n - 18 for n = 6 2 3 n + 18 for n = 5 Page 8 of 9 UMTYMP Mock Test 2 S.No Common Information for both A A & B, if needed B Answer A car travels 0.8 miles in 1 minute. 45 The speed of the car in miles per 46 hour What percent of 1000 is 2.47? 40 miles/hr 0.50% Andy's teacher gave him a test with 47 40 questions on it. His score on the 10 test was 80%. How many questions did he answer incorrectly? 48 49 50 © www.prepository.com Reciprocal of 2.5 as a fraction If a triangle has an area of 6 feet 2/5 square and the base of the triangle is 1 6 feet, what is the height of the triangle? The range of the list The range of the list 11, 14, 15,15,17 10,13,13,13,19 Page 9 of 9