Bergen Academies Sample Test #1 This test resembles the math portion of the Bergen County Academies entrance exam which will be given in January. Applicants are given sixty minutes without a calculator to complete the 40-question test. In scoring, two points are given for each correct answer and one-half point is deducted for each incorrect answer. Unanswered questions are not counted. The answers are: 01 - 10 11 - 20 21 - 30 31 - 40 ADBBA CEDAE DDBEB EACCE AAEDD CDEDB DCABD CCBDB 1. Evaluate the following fraction: 6. What percent of 20 is 66? 1 6 = 2 1+ 3 4+ A 5/2 B 11/5 C 2/5 D 5/11 E 5 2. What is the value of A? 3744 - 5 A6 317 8 A 0 or 1 D 6 or 7 A 330 E 33.3 √15 × 20 × 12 A C 4 or 5 3. Find the sum: A 60 8 0.33 + 0.033 + 0.0033 = 4. How much is D 333 7. Calculate the value of: B 2 or 3 E 8 or 9 A 0.3333 D 0.6666 B 30.3 C 303 B 0.3663 E 0.3696 C 0.6336 1 of 50%? 200 B 120 C 200 E 600 The reciprocal of a number is one divided by that number. What is the value of the reciprocal of (2/3 + 3/2)? A 13/6 B 1/13 C 1/6 9 D 400 D6 E 6/13 Calculate the following to the nearest hundredth: 1 1 + = 2 30 A 0.1% D 2.5% B 0.25% E 10% C 1% A 0.50 B 0.51 C 0.52 D 0.53 E 0.54 5. Which of the following has the largest value? A 7/9 B 2/3 C 8/11 D 9/12 E 7/10 11 Find the smallest whole number which is larger than the sum: 1 1 1 2 +3 +4 3 4 2 A9 B 10 C 11 D 12 E 13 12 In what range does the value of the following expression occur? 10 If 2% of a number is 8, then that number is: A 0.16 B 4 C 16 D 400 E 800 16 When I open my math book, two pages face me and the sum of their two page numbers is 317. What is the number of the very next page? A 158 B 159 C 160 D 161 E 162 17 A factory runs nonstop for three 14-hour shifts. The first shift starts at 9:00 AM. At what times does their third shift end? 62 + 72 A<6 D 8 to 9 B 6 to 7 E>9 C 7 to 8 13 Solve the following: A 12:00 PM D 3:00 AM B 1:00 AM E 4:00 AM C 2:00 AM 18 Maria's Grocery Store buys grapefruit at a cost of 5 for a dollar. They sell them at a price of 5 for three dollars. How many must they sell in order to make a profit of ten dollars? │2 - (-2)2 - (-2)3│= A0 B2 C4 D6 E8 14 If A # B means the same thing as 2 A - B, then 1 # ( (2 # 3) # 4) equals: A 4 B2 C0 D -2 E -4 A 15 B 17 C 19 D 20 E 25 19 In hockey standings, a win counts for 2 points, a tie counts for 1 point and a loss counts for 0 points. In their first 10 games, the Devils won 5, lost 4 and tied 1 game. If they continue at that same rate, how many points will they have accumulated after they have played a total of 80 games? A 48 B 78 C 80 D 88 E 96 15 What is the area, in cm2, of the smallest square that will contain a circle of radius 4 cm? A4 B8 C 16 D 32 E 64 21 What fraction of 4 hours is 15 seconds? A 1/16 D 1/960 B 1/64 E 1/9600 C 1/760 22 Find the numerical value of the fraction: 1 1+ A 1/6 B 3/10 1 2+ = C 5/6 D 7/10 E 2/3 π = 92.8 B .025 - .050 D .076 - .100 E >.100 24 1/9 is the square root of what number? A 1/3 B 2/9 A2 B3 C4 D5 E6 26 Homer Simpson left an estate of $2.4 million. He left 10% to Springfield University, 15% to the First Church of Springfield, $600,000 to his wife, Marge, and the remainder to be divided among his three children. How much did each child receive? A $240,000 D $400,000 B $300,000 E $440,000 C $360,000 27 It takes 7 tubes of glue to construct 15 model boats. How many whole tubes of glue must I purchase in order to make 10 model boats? 1 3 23 Estimate the numerical value of the following fraction: A <.025 C .051 - .075 20 What is the least number of colors needed to paint a cube so that no two adjacent faces have the same color? C 1/18 D 1/27 E 1/81 A3 B4 C5 D6 E7 28 If January 28, 2001 is a Sunday, what day of the week is February 28, 2001? (January has 31 days.) A Wednesday B Tuesday D Friday E Thursday C Monday 29 What is the concentration of a sugar solution made by mixing 1 kilogram of 12% sugar solution with 2 kilograms of water. A 3% B 4% C 6% D 8% E 9% 25 In a class of 30 students, 12 are boys. If 6 more boys are admitted, what fraction of the class is now boys? A 1/3 B 1/2 C 2/5 D 3/5 E 1/5 31 In the first five math quizzes, Patty had an average score of 8. She got a 7 and a 5 on the next two quizzes. After the eighth quiz, her average stood at 7.5. What was her score on the eighth quiz? A5 B6 C 6.5 D 7.5 E8 32 There are 60 grains in a dram, 8 drams in an ounce and 3 scruples in a dram. How many grains are in a scruple? A 20 B 22.5 C 40 D 160 E 180 33 The product of 3.37 × 4.13 is most nearly equal to: A 12 B 13 C 14 D 15 E 16 34 How many 2-digit, even number are greater than 40? A <28 B 28 C 29 D 30 E >30 30 An airplane leaves New York at 1:10 PM and arrives in Miami, 1125 miles away, at 3:40 PM. What is its average speed in miles per hour? A 260 B 375 C 420 D 450 E 489 36 What is the least common multiple of 16 and 36? A 72 B 108 C 144 D 288 E 576 37 Successive discounts of 10% and 20% are equal to what single discount? Give your answer to the nearest whole percent. A 18% B 25% C 28% D 30% E 38% 38 Brooklyn Pizza sells pizza with a choice of 5 toppings. How many combinations of two different toppings can be bought at Brooklyn Pizza? A5 B 10 C 15 D 20 E 25 39 Two students can eat 4 doughnuts in 6 minutes. At this rate how many doughnuts will be eaten by 8 students in 9 minutes? A 12 B 15 C 18 D 24 E 30 35 Multiplying by 3/4 and then dividing by 3/5 is the same as dividing by what? A 5/4 criteria B 1/3 C 4/3 D 1/5 E 4/5 40 In the next three days, 2000 people will move to New Jersey. How many people, on average, will move to New Jersey each hour? Express your answer to the nearest whole number. A 27 B 28 C 29 D 30 E 32

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