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Side A ------ Side B Which is the following fractions is the largest? 1/2 3/4 5/8 11/16 23/32 ------ 3/4 Arrange these fractions in order of size from largest to smallest: 1/3, 2/5, 4/15 4/15, 2/5, 1/3 2/5, 4/15, 1/3 2/5, 1/3, 4/15 1/3, 4/15, 2/5 1/3, 2/5, 4/15 ------ 2/5, 1/3, 4/15 What is the total nbr of degress in 3 angles of a triangle? 90 100 120 180 ------ 180 (0.2)² 0.02 0.04 0.2 0.4 ------ 0.04 300% is the same as .03 .3 3 300 ------ 3 A marine fired X rounds of ammunition, gave 2X to his buddy, and had 27 remaining in a magazine. If this accounted for 120 rounds in all, then X = 30 31 93 120 ------ 31 In the figure, if ACD is a straight line and AB = BC, then X = 90 135 145 180 ------ 135 Which is true? 2/25 < 1/10 1/10 >3/30 2/28 < 3/35 5/13 = 4/5 ------ 2/25 < 1/10 X/4 + X = x/4 2x/4 4x 5x/4 ------ 5x/4 X-X/2 X/2 2x 4x 3x/2 ------ X/2 Perimeter of a rectange is 180 ft, the width is 1/2 of the length, what is the length? 30 60 90 100 ------ 60 If 3 times X exceeds 1/3 of y by 9, which of the following is the equation that shows the relationship between x and y? 3x > 1/3y + 9 3x - 1/3y = 9 x - 3y =3 9x > y +27 ------ 3x - 1/3y = 9 The avg of 1/25 and 1/100 is 1/50 1/40 1/20 5/100 ------ 1/40 The destruction of a particular bridge requires 3 1/2 tons of C4 explosive. How many tons of C4 would be required to destroy 1/3 of the bridge? 1 1 1/6 1 1/3 2 1/4 ------ 1 1/6 If (Y*Y*Y)/(Y+Y) = 2, then Y = 0 1 2 4 ------ 2 74 - (12-20)= 42 56 66 82 ------ 82 If 100 times x is between 50 and 100, then x could be .50 .25 .75 1.00 ------ .75 The avg temperature during a 4 day period was 73°. If the temperature on the first 3 days was 75, 74, and 70, what was the temperature on the 4th day? 71 72 73 75 ------ 73 If 20% of a number is 2.5, what is the nbr? 1.25 10 12.5 25 ------ 12.5 What is the area, in square ft, of the figure? 32 54 63 72 ------ 63 The equation x= 1/2 t(y-z) is equivalent to the equation y= 1/2t( y - z ) 1/2x + zt 2x/t + z 2x/t - z ------ 2x/t + z The expeditionary airfields with the same length are 100 ft wide and 200 ft wide, respectively. If a total of 360000 suare feet of aluminum alloy paneling is required to construct both airfields, what is their length? 1000 1200 3600 12000 ------ 1200 Two amino cans contain various nbrs of live bullets and blank bullets. Ammo can X contains 60 live bullets and 30 blank bullets, ammo can Y contains 90 live bullets and 30 blank bullets. If one bullet is selected randomly from each ammo can, which bullet would most likely be a blank? The one selected from ammo can Y The one selected from ammo can X It cannot be determined from the information given ------ The one selected from ammo can X In the square WXYZ figure, AX = 1, YZ =2 and XB =BY. What is the perimeter of polygon WABYZ? 10 8 + √2 8 6 + √2 ------ 6 + √2 While assulting a fortified machine gun bunker, a marine fired 2000 rounds during two engagements. IF he fired 800 rounds more in his first engagement than in his 2nd, how many rounds did he fire during his 1st engagement? 600 1200 1400 2000 ------ 1400 A square tarp is x feet on a side. If 4 ft of another tarp is sewn across one end so that the tarp will cover a fighting position, then the area of the tarp after the addition is made, in square feet, must be x² + 4x x² + 4 x² + 16 16x +4 ------ x² + 4x It will take 4 hrs 32 min 30 sec to dig one part of a mortar pit. If the other part will take three quarters the time, how long will the second part take? 1 hr 56 min 39 sec 2 hrs 24 min 22.5 sec 3 hrs 24 min 22.5 sec 3 hrs 46 min 36 sec ------ 3 hrs 24 min 22.5 sec In the right triangle XYZ, /_Y = 72° 54° 18° 22° ------ 72° In the figure, if O is the center of the circle, and all the sides of the polygon are equal, what is the measure of /_ COD? 60° 90° 120° ------ 90° At a mess night, there are only captains, 2nd lieutenants, and 1st lieutenants (sounds like a damn good time). If the total nbr of 2nd lieutenants and 1st lieutenatns is 30, the total nbr of 2nd lieutenants and captains is 45, and the total nbr of 1st lieutenatns and captains is 35, what is the total nbr of company grade officers (2ndLts, 1stLts, and Capts are company grade officers) at the mess night? 110 55 60 220 ------ 55 What is the closent approximation to (0.0010197)(5001)(42.974)? 1000 28 215 74 ------ 215 There are exactly four times as many V-22s as CH-53Es in a marin expeditionary composite squadron. Which of the following can be the total nbr of V-22s and CH-53Es in the squadron? 35 63 39 41 ------ 35 6 M16s and 4 pistols cost J dollars. 4 M16s and 6 pistols cost T dollars which of the following represents the cost of one M16 and one pistol? 10(J + T) 1/10(J+T) 2/3J + 2/3T 2/3(J+T) ------ 1/10(J + T) At most, less than one third the round in PRivate Banotz's magazines are tracers. If there are 150 rounds in his magazines, the nbr of tracers must be > 50 = 50 < 50 150 ------ < 50 Two F-18s are catapulted off an aircraft carrier and fly on courses that diverge at a 60° angle. If each flies at a constant rate of 500 mph, after how many hrs will the fighters be 1200 mi apart? 2 2/5 2 1 1/5 2 1/2 ------ 2 2/5 For all real numbers, x and y, x * y = y(x+1) If -4 * j = -6, then j = -6 6 2 4 ------ j = 2 What is the formula for a cube? V= Bh V= 1/3bh V= π r² h V=4/3 r³ ------ V=Bh or wh What is the formula for the area of a square? A= (S² √3 ) /4 A = 4S A = S² A = Lwh A = 1/2 bh ------ A = S² What is the area of a triangle? A = 2(L+W) A = 4S A= S² √3 /4 A = 1/2 bh A = πd²/4 ------ A = 1/2 bh Area of a rectangle? A = 2(L+W) A = Lwh A = LW A= S² √3 /4 A = 1/2 bh A = hm ------ A = LW Area of a trapezoid? A = 4s A = π d² /4 A = h 1/2(b1 + b2) A = 4/3 πr³ A= S² √3 /4 ------ A = h 1/2(b1 + b2) or A = hm What is the formula to find the hypotenuse of a triangle? 1/3 Bh 1/2 bh c² = a² + b² a + b + c ------ c² = a² + b² What is the square root of .09? .3 .03 3 .09 ------ .3 If a fuel mixtures required 3 1/2 gallons of gasoline, how many gallons would be needed for 1/4 the mixture? 7/8 3/8 3/5 1 ------ 7/8 If 35% of X is 3.5, what is X? 20 30 10 15 ------ 10 There are 3 times as many red balls as blue balls. How many balls can there be? 13 9 10 16 ------ 9 The coordinates of point X are (1,2), the coordinates of point Y are (4/6). What is the length of line XY? 6 4 5 10 ------ 5 (x² -x-2)/(x+1) x+1 x-2 x+2 x² ------ x-2 The volume of a cube A to the volume of cube B is 8:1. If an edge of cube C is twice as long as an edge of cube A, what is the ratio of the volume of B:C? 8:1 1:64 2:1 1:8 ------ 1:64 1432.678 In the nbr above, what are the values for the following? Tens Units Hundreds Thousands Tenths Thousandths Hundredths ------ Tens 3 Units 2 Hundreds 4 Thousands 1 Tenths 6 Thousandths 8 Hundredths 7 In the diagram, the area of rectangle ABCD is 10 and the distance from point D to point A is 5. If point E is the same height (measured from the level of line DC) as points A and B, what is the area of the triangle CED? 5 10 2 22 ------ 5 What is the area of the triangle shown? 36 6 18√3 9√3 ------ 9√3 A 6 ft tall farmer wants to determine the height of his barn. He notices that his shadow is 10 ft long and that his barn casts a shadow 75 ft long. How high is the barn? 30 ft 35 ft 40 ft 45 ft ------ 45 ft What is the square root of 16 raised to the 4th power? 16 64 128 256 ------ 256 If the sum of the edges of a cube is 48 in, the volume of the cube is 4 cubic inches 8 cubic inches 16 cubic inches 64 cubic inches ------ 64 cubic inches If the tax rate is 3 1/2 % and the amount to be raised is 6440, what is the base? 180,000 181,000 182,000 184,000 ------ 184,000 Each corridor contains 8 to 10 classrooms and each classrom contains 20 -24 students. If all classrooms are occupied, what is the minimum nbr of students on one corridor at a given time? 160 170 180 190 ------ 160 At 0800, two trains started out from the same station. One travels north at the rate of 60 mph; the other traveled south at the rate of 50 mph. At what time were the trains 550 miles apart? Noon 1230 1300 1330 ------ 1300 How much pure acid must be added to 12 ounces of a 40% acid solution in order to produce a 60% acid solution? 5 ounces 6 ounces 7 ounces 8 ounces ------ 6 ounces If x varies directly as y² and if x = 9 when y = 2, what is the value of x when y = 8? 32 130 144 168 ------ 144 The hour hand of a clock is 3 ft long. How many ft does the tip of this hand move between 1300 and 1700? 2π 4π 6π 8π ------ 2π Find the second of 3 consecutive integers if the sum of the first and the third is 26 10 11 12 13 ------ 13 Find the area of a square circumscribed about a circle whose radius is 10 31 3/7 62 6/7 100 400 ------ 400 An island is defended by a battery of coastal guns placed at the easternmost point of the island and having a maximum range of 10 mi. A ship, sailing north at 24 mph along a course that will bring it within 8 miles of these guns, is approaching the position where it will be 10 mi from these guns. Assuming that the ship will maintain a straight course and the same speed, for approximately how long will the ship be within range of the coastal guns? 15 minutes 20 minutes 25 minutes 30 minutes ------ 30 minutes A team won 25 games in a 40-game season. Find the ratio of games won to games lost. 3 : 5 5 : 3 3 : 8 8 : 3 ------ 5 : 3 If the entrance requirement of a certain college is 82, what mark must a student have in geometry (weight 2) to be able to enter if his other marks are English 88 (weight 3), Spanish 78 (weight 2), and History 80 (weight 2)? 83 82 81 79 ------ 79 Two planes started at the same time from the same airport and flow in opposite directions. One flew 80 mph faster than the other. In four hours, they were 2600 mi apart. What was the speed of the slower plane? 285 mph 305 mph 325 mph 345 mph ------ 285 mph One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together? 12 min 18 min 24 min 30 min ------ 24 min If (x - y)² = 40 and x² + y² = 60, then xy= 40 20 12 10 ------ 10 If a triangle of base 6 has the same area as a circle of radius 6, what is the altitude of the triangle? 6π 8π 10π 12π ------ 12π What is next 5 3 9 7 21 19 __ 41 45 49 57 ------ 57 In the figure, what is the measure of angle x? 35° 45° 55° 70° ------ 55° Two trains running on the same track travel at the rates of 30 and 35 mph, respectively. If the slower train starts out an hour earlier, how long will it take the faster train to catch up with it? 4 hours 5 hours 6 hours 7 hours ------ 6 hours A naval detachment has enough rations to feed 16 ppl for 10 days. If four more ppl join the detachment, for how many fewer days will the rations last? 1 day 2 days 3 days 4 days ------ 2 days A field can be plowed by 9 machines in 5 hrs. If 3 machines are broken and cannot be used, how many hours will it take to plow the field? 7 1/2 hrs 8 1/2 hrs 9 1/2 hrs 10 1/2 hrs ------ 7 1/2 hrs What is the square root of 9 raised to the fourth power? 12 27 49 81 ------ 81 If 2˟ˉ² = 32, then x = 5 7 8 12 ------ 7 Jane received grades of 90, 88, and 75 on 3 tests. What grade must she receive on the next test so that her avg for these four tests is 86? 88 89 90 91 ------ 91 A family drove from New York to San Francisco, a distance of 3000 miles. They drive 1/10 of the distance the first day 1/9 of the remaining distance the second day. How many miles were left to be driven? 2200 miles 2300 miles 2400 miles 2500 miles ------ 2400 miles In a 3 hr examination of 320 questions, there are 40 mathematics problems. If twice as much time should be allowed for each mathematics problem as for each of the other questions, how many minutes should be spent on the mathematics problems? 40 minutes 45 minutes 50 minutes 55 minutes ------ 40 minutes 100,000 may be represented as 10^4 10^5 10^6 10^7 ------ 10^5 If a = 3b and 6b =12c, then a = 6c 9c 12c 15c ------ 6c The Hair Palace gives a 5 1/2 % discount to senior citizens. If Pam is 67 yrs old, and her hair restyling costs $75.00, what is the amount of her bill once the discount is applied? 55.88 57.88 66.88 70.88 75.00 ------ 70.88 2x (3xy + y) = 6xy + 2xy 6x²y + 2xy 3xy + 2xy 3x²y+ xy ------ 6x²y + 2xy What is the area of a circle? ------ A = π r² Find the area of the shaded portion of the figure 10.57 square feet 11.17 square feet 12.86 square feet 13.44 square feet ------ 12.86 square feet You are in charge of purchasing food for the annual Fourth of July picnic. If you purchase food items from whichever supplier will provide the item for the least cost, what would it cost for 400 cases of soda, 100 lbs of hotdogs, 150 lbs of hamburger, and 30 bags of potato chips? 1623.10 1710.05 1790.20 1801.15 ------ 1623.10 Yolanda invested $500 in an invest account and received $650 after 3 yrs. How much was her annual interest rate? 6% 8% 10% 12% ------ 10% Susan can paint a room in 6 hrs, while Tom can paint the same room in 5 hrs. Working together, how long will it take them to paint the room? 2.73 hrs 2.90 hrs 3.43 hrs 3.54 hrs ------ 2.73 hrs (5.37 x 10²) x (2.54 x 10^5) = 13.6398 x 10 13.6398 x 10^10 13.6398 x 10^3 13.6398 x 10^7 ------ 13.6398 x 10^7 This Mathematical Property or technique lets you multiply a sum by multiplying each addend separately and then add the products. ------ Distributive Property Apply the Distributive Property and simplify the following: -7(4x+5) -8 -28x + 43 28x - 43 -28x - 43 28x + 43 ------ -28x - 43 1/2x - 1/10 = 1/5x + 1/2 2 4 6 8 ------ 2 What is the area of a triangle? ------ 1/2 bh Given the radius, how do u find the diameter ------ The radius is 1/2 a diameter, so multiply by 2. What is the area of the shape? 4π + 12 square feet 6(π + 4) square feet 9π/2 + 12 square feet 6π -24 square feet ------ 9π/2 + 12 square feet How do u find the area of a rectangle? ------ A = L x W How many square inches in a square ft? ------ 12 in. x 12 in. = 1 square ft. 144 square in. If each brick is 3 inches wide and 5 inches long, how many bricks would u need to build a wall that will measure 10 ft by 16 ft? 940 980 1302 1536 ------ 1536 An imaginary number "i" is defined solely by the property that its square is ------ i² = -1 In Electrical Engineering, j is used instead of i (9i + 6)(3i - 7) = 27i² - 7i -45i - 69 18i - 4 18i + 4 ------ -45i - 69 Gravel is mixed with cement at a ratio of 5 parts of cement to 1 part of gravel. How many pounds of cement are there in 48 lbs of this mixture? 20 lbs 30 lbs 40 lbs 50 lbs ------ 40 lbs How much carpet would be necessary to cover a room which is 8 ft long and 6 ft wide? 14 square feet 20 square feet 40 square feet 60 square feet ------ 60 square feet A bakery specializes in peach and apple pies. Out of a batch of 26 pies, four are peach. What percent of the pies are peach? 10.3 percent 15.4 percent 20.5 percent 25.6 percent ------ 15.4 percent Convert 6.39 x 10^5 to regular notation (6.39)^5 x 10 639,000 639.10 0.000639 ------ 639,000 A refrigerator costs $400 to purchase outright, so it can be rented for a non-refundable deposit of $50 and monthly payments of $25. After how many months would the cost of rental equal the purchase cost? 10 months 12 months 14 months 16 months ------ 14 months Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams of part thereof. What could be the weight in grams of a package for which the charge is $1.55? 1155 1145 1040 950 ------ 1155 If x/y is an integer, which of the following statements must be true? both x and y are integers x is an integer x = ny where n is an integer y/x is an integer ------ x = ny where n is an integer This is a list of numbers is the sum of all of the list divided by the number of items in the list. Mean Fraction Percentage ------ Mean The first term in a sequence is 1 and the second term is 5. From the third term on, each term is the average (aritmetic mean) of all preceding terms. What is the 25th term in the sequence? 2.5 3 5 25 ------ 3 The avg of 1 and 5 = 3 The avg of 1, 5, and 3 = 3 The avg of 1, 5, 3 and 3 = 3 All subsequent terms = 3 (3x + 2)(2x - 5)=ax² + kx + n. What is the value of a - n + k? 5 8 9 10 ------ 5 What is the simplified result of ff the steps in order? (1) add 5y to 2x (2) multiply the sum by 3 (3) subtract x + y from the product 5x + 14y 5x + 16y 5x + 5y 6x + 6y ------ 5x + 14y What is the avg of four tenths and five thousandths? 25002 2502 0.225 0.2025 ------ 0.2025 Which of the integers is not a prime number? 3 5 7 9 ------ 9 If 3ª = 9 What is the value of 4^(a+1) ? 25 30 35 64 ------ 64 If the ratio of 3x to 5y is 1:2, what is the ratio of x to y? 1/2 2/3 3/4 5/6 ------ 5/6 1 ton has how many lbs? ------ 2000 lbs If the floor area in a Navy warehouse measures 200 ft by 200 ft., what is the maximum safe floor load if the maximum weight the floor area can hold is 4000 tons? 120 lbs per square foot 140 lbs per square foot 160 lbs per square foot 200 lbs per square foot ------ 200 lbs per square foot Assume that the United States Mint produces one million nickels a month. The total value of the nickels produced during a year is $50000 $60000 $550000 $600000 ------ $600000 There are 20 cigarettes in one pack and 10 packs of cigarettes in a carton. A certain brand of cigarette contains 12 mg of tar per cigarette. How many grams of tar are contained in one carton of these cigarettes? (1 gram = 1000 mg) .024 grams 0.24 grams 2.4 grams 24 grams ------ 2.4 grams A certain government agency had a budget last year of $1,100,500. Its budget this year was 7% higher than that of last year. The budget for next year is 8% higher than this year's budget. Which one of the following is the agency's budget for next year? 1,117,600 1,161,600 1,261,700 1,271,700 ------ 1,271,700 How many seconds per question does one have to complete all questions in the Math Section of the ASTB? 75 60 50 40 ------ 50 25 min x 60 sec/min = 1500 sec / 30 problem = 50 sec / problem If x = 4z and Y = 6z then Y = 6/4 X 4/6 X 3/2 Y 3/2 X ------ 3/2 X Simplify the following: 4x² - 5x + 1 x-1 4x - 1 4x + 1 4x - 2 4x + 2 ------ 4x - 1 Simplify n + 6n²6n + 1 N + 1 N + 6 N² N ------ N How many seconds are in one hour? 60 1200 2400 3600 ------ 3600 How many inches are in one mile? 1,760 63,360 72,913 160,934 ------ 63360 5280 ft x 12 inches 5280 ft = 1 mile 1760 yards = 1 mile 72,913 inches = 1 nautical mi 160,934.4 cm = 1 mile An aircraft flies 250 mph for 30 mins, then 300 mph for 10 mins, and flies at 240 mph for 40 mins of flight. How far did you fly (assuming you can hold ur heading and fly along a straight line)? 315 mi 325 mi 335 mi 340 mi ------ 335 mi Two trains are 100 miles apart traveling towards each other at 40 mph and 30 mph. How far apart are they after 30 mintues? ------ 65 mi Formula for distance ------ Rate x Time If a car tavels 42 mph, how far does it travel in 1200 seconds? 14 mi 21 mi 28.57 mi 84 mi ------ 14 mi When adding bases containing exponents you can add the exponents even if the bases are the same. 5² + 5 = 5³ x² + x³ = x5 True False ------ False When multiplying bases containing exponents you can add the exponents even if the bases are the same. 5² x 5 = 5³ x² * x³ = x5 True False ------ True What are the perfect squares, from 11-15? ------ 121, 144, 169, 196, 225 What are the first 6 perfect cubes? ------ 1, 8, 27, 64, 125, 196 5n+1 = 125 n=? 2 3 4 5 ------ 2 4n4=64 ; n = ? 2 3 4 5 ------ 2 ½bh solves for the area of a circle parallelogram rectangle trapezoid triangle ------ triangle l x w solves for the area of a circle parallelogram rectangle trapezoid triangle ------ rectangle ½(b1 + b2) h solves for the area of a circle parallelogram rectangle trapezoid triangle ------ trapezoid ½ multiplied by the sum of bases times the height base multiplied by the height (bh) solves for the area of a circle parallelogram rectangle trapezoid triangle ------ parallelogram πr2 solves for the area of a circle parallelogram rectangle trapezoid triangle ------ circle 2πr solves for the circumference of a circle cyclinder sphere oval ------ circle a2 + b2 = c2 is also known as ------ Pythagorean Theorem sin A = a / c opposite/adjacent adjacent/hypotenuse opposite/hypotenuse ------ opposite/hypotenuse cos A = b / c adjacent/hypotenuse opposite/adjacent opposite/hypotenuse ------ adjacent/hypotenuse tan A = a / b adjacent/hypotenuse opposite/adjacent opposite/hypotenuse ------ opposite/adjacent An equilateral trangle has a side of 4. What is the length of the blue line? √12 2√3 √8 2√5 ------ 2√3 The formula for simple interest is the lump sum multiplied by the interest rate. What is compound interest? a) combines the incurred interest during periods b) the interest that has been added also itself earns interest c) is represented by the future value of the loan d) both a and b e) all of the above ------ all of the above What is the formula for the "future value" or the compounded interest and the principal? ------ FV = PV (1 + i)n How much interest is accrued on $1000 lump sum at 10% compounded over 2 years? $100 $210 $221 $240 ------ $221 according to the book, $221. How do u find the average? ------ Sum of the numbers / number of items John shoots 75, 82, 83 his first 3 rounds of golf. What score must he post on his last round to avg 80 over the four rounds? 78 79 80 81 ------ 80 80 x 4 = 320 320 - (75 + 82 + 83) = 80 The probability of an event occurring is equal to the number of events that you want to occur divided by the number of events possible. An example of this would be: (P+4M+O) / 6 flipping a coin, 50% chance e = mc² ------ flipping a coin, 50% chance Kudos to those that can identify the first one. In a 52 card deck, what is the probability of selecting a face card? 1/13 2/13 3/13 4/13 ------ 12/52 or 3/13 If 5x + 3y = 29 and x - y = 1, then x = ? 1 2 3 4 5 ------ 4 Solve for x: 2x / 7 = 2x² 1/7 2/7 2 7 14 ------ 1/7 If x is an odd integer, which one of the following is an even integer? 2x + 1 2x - 1 x² - x x² + x - 1 None of the above ------ x² - x 10˟ divided by 10ʸ 10x/y 10xy 10x+y 10x-y none of the above ------ 10x-y x - 2 x² - 6x + 8 The formula can be reduced to 1 x-4 1 x-2 x-2 x+2 1 x+2 1 x+4 ------ 1 x-4 If 3˟ = 27, what is the value of 4˟+1 24 48 65 108 none of the above ------ 65 The expression √28 - √7 reduces to √4 √7 3√7 √21 -√35 ------ √7 Mr. Norwalk bought 24 gallons of gasoline, which enables him to drive 648 miles. On the average, how many miles did he get per gallon of gasoline?25262728 ------ 27 How many blocks 6" x 4" x 4" can fit in a box 8' x 6' x 4'?2485763456 ------ 3456 Steve played in 14 basketball games. He scored a total of 53 field goals (2 points each) and 20 free throws (1 point each). What was his average score per game? 5 9 14 23 ------ 9 There are 800 employees at a company. If 60% drive to work and 30% take the train, how many employees arrive to work by car? 240 480 540 600 ------ 480 Min reads 3 hardcover mysteries and 4 soft cover mysteries. She reads 3 times as many nonfiction books as she did mysteries. How many nonfiction books did Min read? 9 12 18 21 ------ 21 In the election for Fairfield County Selectman, Mr. Williams got 33,172 votes, and Mr. Stevens got 25,752 votes. By how many votes did Mr. Williams win the election? 4377 5500 6257 7420 ------ 7420 What mathematical statement best represents the following?Six less a number is four?6 = n ( 46 < n + 46 - n = 4n - 6 = 4 ------ n - 6 = 4 A cylinder whose height is 8 inc has a volume of 128p³. If the radius is doubled and its height is cut in half, the volume of the rsulting cylinder is6p cm³128p cm³256p cm³ 512p cm³ ------ 256p cm³ Fencing costs $4.75 per foot. Posts cost $12.50 each. How much will it cost to fince a garden if 10 posts and 34 feet of fencing are needed?$472.50$336.50$315.50$286.50 ------ $286.50 Multiply (2x + 1)(2x - 1)2x² + 14x² + 14x² + 2x + 14x² + 4x + 1 ------ 4x² + 4x + 1 How much change would you get back from a $20 bill if you purchased 8 CD covers costing $1.59 each?$7.28$10.41$12.00$18.41 ------ $7.28 The sum of 2 feet 2½ inches, 4 feet 3 3/8 inches, and 3 feet 9 ¾ inches is9 feet 7/8 inches9 feet 9 5/8 inches10 feet 5/8 inches10 feet 3 5/8 inches ------ 10 feet 3 5/8 inches The scale on a map shows 500 feet for every 1/4 inch. If two cities are 6 inches apart on the map, what is the actual distance they are apart?125 feet750 feet2000 feet12000 feet ------ 12000 feet What is the probablility of rolling a sume of 9 using two dice?1/41/95/127/36 ------ 1/9 Three boxes are needed to hold 18 reams of paper. How many boxes are needed for 90 reams?56915 ------ 15 One gallon of paint covers 400 square feet. How many gallons are needed to cover 2225 square feet?5 gallons6 gallons7 gallons8 gallons ------ 6 gallons The sum of v50 + 3v72 is4 + v1224v1227v223v2 ------ 23v2 An appliance originally costing 1000 goes on sale one week for 25% off. The following week, it is discounted an additional 10%. What is the new sale price of the appliance?$650$675$750$900 ------ $675 Dennis ran a race is 2.2 minutes. Kayla ran the same race in 124 seconds. What is the difference between these two times?2 seconds8 seconds14 seconds22 seconds ------ 8 seconds What is the diameter of a circle whose circumference is equivalent to its area?2346 ------ 4 If 3 cans of soup cost $5.00, how much do 10 cans cost?$15.00$16.45$16.67$17.33 ------ $16.67 A savings account earns 2¼ % interest each year. How much interest is earned on a $1000 deposit after a 5 year period?22.50100.00112.50150.00 ------ 112.50 The product of 2 numbers is 117. If one of the numbers is , what is the other?11131517 ------ 13 Vanda put some water in the freezer. When she removed it, the water's temperature was 0° C. Leaving it out will raise the temperature 4° F each hour. At this rate, when will the water's temperature be 52° F?4 hrs5 hrs 13 hrs52 hrs ------ 5 hrs Sandy brought 4½ lbs of apples and 6 kiwi fruits. Brandon bought 3¼ lbs of apples and 9 kiwi fruits. IF the apples cost $1.39 lb and kiwis are 2 for $1.00, how much more money did Sandy spend than Brandon?0.240.941.542.32 ------ 0.24 -3(-4-5)-2(-6)=0-51539 ------ 39
Side A ------ Side B Which is the following fractions is the largest? 1/2 3/4 5/8 11/16 23/32 ------ 3/4 Arrange these fractions in order of size from largest to smallest: 1/3, 2/5, 4/15 4/15, 2/5, 1/3 2/5, 4/15, 1/3 2/5, 1/3, 4/15 1/3, 4/15, 2/5 1/3, 2/5, 4/15 ------ 2/5, 1/3, 4/15 What is the total nbr of degress in 3 angles of a triangle? 90 100 120 180 ------ 180 (0.2)² 0.02 0.04 0.2 0.4 ------ 0.04 300% is the same as .03 .3 3 300 ------ 3 A marine fired X rounds of ammunition, gave 2X to his buddy, and had 27 remaining in a magazine. If this accounted for 120 rounds in all, then X = 30 31 93 120 ------ 31 In the figure, if ACD is a straight line and AB = BC, then X = 90 135 145 180 ------ 135 Which is true? 2/25 < 1/10 1/10 >3/30 2/28 < 3/35 5/13 = 4/5 ------ 2/25 < 1/10 X/4 + X = x/4 2x/4 4x 5x/4 ------ 5x/4 X-X/2 X/2 2x 4x 3x/2 ------ X/2 Perimeter of a rectange is 180 ft, the width is 1/2 of the length, what is the length? 30 60 90 100 ------ 60 If 3 times X exceeds 1/3 of y by 9, which of the following is the equation that shows the relationship between x and y? 3x > 1/3y + 9 3x - 1/3y = 9 x - 3y =3 9x > y +27 ------ 3x - 1/3y = 9 The avg of 1/25 and 1/100 is 1/50 1/40 1/20 5/100 ------ 1/40 The destruction of a particular bridge requires 3 1/2 tons of C4 explosive. How many tons of C4 would be required to destroy 1/3 of the bridge? 1 1 1/6 1 1/3 2 1/4 ------ 1 1/6 If (Y*Y*Y)/(Y+Y) = 2, then Y = 0 1 2 4 ------ 2 74 - (12-20)= 42 56 66 82 ------ 82 If 100 times x is between 50 and 100, then x could be .50 .25 .75 1.00 ------ .75 The avg temperature during a 4 day period was 73°. If the temperature on the first 3 days was 75, 74, and 70, what was the temperature on the 4th day? 71 72 73 75 ------ 73 If 20% of a number is 2.5, what is the nbr? 1.25 10 12.5 25 ------ 12.5 What is the area, in square ft, of the figure? 32 54 63 72 ------ 63 The equation x= 1/2 t(y-z) is equivalent to the equation y= 1/2t( y - z ) 1/2x + zt 2x/t + z 2x/t - z ------ 2x/t + z The expeditionary airfields with the same length are 100 ft wide and 200 ft wide, respectively. If a total of 360000 suare feet of aluminum alloy paneling is required to construct both airfields, what is their length? 1000 1200 3600 12000 ------ 1200 Two amino cans contain various nbrs of live bullets and blank bullets. Ammo can X contains 60 live bullets and 30 blank bullets, ammo can Y contains 90 live bullets and 30 blank bullets. If one bullet is selected randomly from each ammo can, which bullet would most likely be a blank? The one selected from ammo can Y The one selected from ammo can X It cannot be determined from the information given ------ The one selected from ammo can X In the square WXYZ figure, AX = 1, YZ =2 and XB =BY. What is the perimeter of polygon WABYZ? 10 8 + √2 8 6 + √2 ------ 6 + √2 While assulting a fortified machine gun bunker, a marine fired 2000 rounds during two engagements. IF he fired 800 rounds more in his first engagement than in his 2nd, how many rounds did he fire during his 1st engagement? 600 1200 1400 2000 ------ 1400 A square tarp is x feet on a side. If 4 ft of another tarp is sewn across one end so that the tarp will cover a fighting position, then the area of the tarp after the addition is made, in square feet, must be x² + 4x x² + 4 x² + 16 16x +4 ------ x² + 4x It will take 4 hrs 32 min 30 sec to dig one part of a mortar pit. If the other part will take three quarters the time, how long will the second part take? 1 hr 56 min 39 sec 2 hrs 24 min 22.5 sec 3 hrs 24 min 22.5 sec 3 hrs 46 min 36 sec ------ 3 hrs 24 min 22.5 sec In the right triangle XYZ, /_Y = 72° 54° 18° 22° ------ 72° In the figure, if O is the center of the circle, and all the sides of the polygon are equal, what is the measure of /_ COD? 60° 90° 120° ------ 90° At a mess night, there are only captains, 2nd lieutenants, and 1st lieutenants (sounds like a damn good time). If the total nbr of 2nd lieutenants and 1st lieutenatns is 30, the total nbr of 2nd lieutenants and captains is 45, and the total nbr of 1st lieutenatns and captains is 35, what is the total nbr of company grade officers (2ndLts, 1stLts, and Capts are company grade officers) at the mess night? 110 55 60 220 ------ 55 What is the closent approximation to (0.0010197)(5001)(42.974)? 1000 28 215 74 ------ 215 There are exactly four times as many V-22s as CH-53Es in a marin expeditionary composite squadron. Which of the following can be the total nbr of V-22s and CH-53Es in the squadron? 35 63 39 41 ------ 35 6 M16s and 4 pistols cost J dollars. 4 M16s and 6 pistols cost T dollars which of the following represents the cost of one M16 and one pistol? 10(J + T) 1/10(J+T) 2/3J + 2/3T 2/3(J+T) ------ 1/10(J + T) At most, less than one third the round in PRivate Banotz's magazines are tracers. If there are 150 rounds in his magazines, the nbr of tracers must be > 50 = 50 < 50 150 ------ < 50 Two F-18s are catapulted off an aircraft carrier and fly on courses that diverge at a 60° angle. If each flies at a constant rate of 500 mph, after how many hrs will the fighters be 1200 mi apart? 2 2/5 2 1 1/5 2 1/2 ------ 2 2/5 For all real numbers, x and y, x * y = y(x+1) If -4 * j = -6, then j = -6 6 2 4 ------ j = 2 What is the formula for a cube? V= Bh V= 1/3bh V= π r² h V=4/3 r³ ------ V=Bh or wh What is the formula for the area of a square? A= (S² √3 ) /4 A = 4S A = S² A = Lwh A = 1/2 bh ------ A = S² What is the area of a triangle? A = 2(L+W) A = 4S A= S² √3 /4 A = 1/2 bh A = πd²/4 ------ A = 1/2 bh Area of a rectangle? A = 2(L+W) A = Lwh A = LW A= S² √3 /4 A = 1/2 bh A = hm ------ A = LW Area of a trapezoid? A = 4s A = π d² /4 A = h 1/2(b1 + b2) A = 4/3 πr³ A= S² √3 /4 ------ A = h 1/2(b1 + b2) or A = hm What is the formula to find the hypotenuse of a triangle? 1/3 Bh 1/2 bh c² = a² + b² a + b + c ------ c² = a² + b² What is the square root of .09? .3 .03 3 .09 ------ .3 If a fuel mixtures required 3 1/2 gallons of gasoline, how many gallons would be needed for 1/4 the mixture? 7/8 3/8 3/5 1 ------ 7/8 If 35% of X is 3.5, what is X? 20 30 10 15 ------ 10 There are 3 times as many red balls as blue balls. How many balls can there be? 13 9 10 16 ------ 9 The coordinates of point X are (1,2), the coordinates of point Y are (4/6). What is the length of line XY? 6 4 5 10 ------ 5 (x² -x-2)/(x+1) x+1 x-2 x+2 x² ------ x-2 The volume of a cube A to the volume of cube B is 8:1. If an edge of cube C is twice as long as an edge of cube A, what is the ratio of the volume of B:C? 8:1 1:64 2:1 1:8 ------ 1:64 1432.678 In the nbr above, what are the values for the following? Tens Units Hundreds Thousands Tenths Thousandths Hundredths ------ Tens 3 Units 2 Hundreds 4 Thousands 1 Tenths 6 Thousandths 8 Hundredths 7 In the diagram, the area of rectangle ABCD is 10 and the distance from point D to point A is 5. If point E is the same height (measured from the level of line DC) as points A and B, what is the area of the triangle CED? 5 10 2 22 ------ 5 What is the area of the triangle shown? 36 6 18√3 9√3 ------ 9√3 A 6 ft tall farmer wants to determine the height of his barn. He notices that his shadow is 10 ft long and that his barn casts a shadow 75 ft long. How high is the barn? 30 ft 35 ft 40 ft 45 ft ------ 45 ft What is the square root of 16 raised to the 4th power? 16 64 128 256 ------ 256 If the sum of the edges of a cube is 48 in, the volume of the cube is 4 cubic inches 8 cubic inches 16 cubic inches 64 cubic inches ------ 64 cubic inches If the tax rate is 3 1/2 % and the amount to be raised is 6440, what is the base? 180,000 181,000 182,000 184,000 ------ 184,000 Each corridor contains 8 to 10 classrooms and each classrom contains 20 -24 students. If all classrooms are occupied, what is the minimum nbr of students on one corridor at a given time? 160 170 180 190 ------ 160 At 0800, two trains started out from the same station. One travels north at the rate of 60 mph; the other traveled south at the rate of 50 mph. At what time were the trains 550 miles apart? Noon 1230 1300 1330 ------ 1300 How much pure acid must be added to 12 ounces of a 40% acid solution in order to produce a 60% acid solution? 5 ounces 6 ounces 7 ounces 8 ounces ------ 6 ounces If x varies directly as y² and if x = 9 when y = 2, what is the value of x when y = 8? 32 130 144 168 ------ 144 The hour hand of a clock is 3 ft long. How many ft does the tip of this hand move between 1300 and 1700? 2π 4π 6π 8π ------ 2π Find the second of 3 consecutive integers if the sum of the first and the third is 26 10 11 12 13 ------ 13 Find the area of a square circumscribed about a circle whose radius is 10 31 3/7 62 6/7 100 400 ------ 400 An island is defended by a battery of coastal guns placed at the easternmost point of the island and having a maximum range of 10 mi. A ship, sailing north at 24 mph along a course that will bring it within 8 miles of these guns, is approaching the position where it will be 10 mi from these guns. Assuming that the ship will maintain a straight course and the same speed, for approximately how long will the ship be within range of the coastal guns? 15 minutes 20 minutes 25 minutes 30 minutes ------ 30 minutes A team won 25 games in a 40-game season. Find the ratio of games won to games lost. 3 : 5 5 : 3 3 : 8 8 : 3 ------ 5 : 3 If the entrance requirement of a certain college is 82, what mark must a student have in geometry (weight 2) to be able to enter if his other marks are English 88 (weight 3), Spanish 78 (weight 2), and History 80 (weight 2)? 83 82 81 79 ------ 79 Two planes started at the same time from the same airport and flow in opposite directions. One flew 80 mph faster than the other. In four hours, they were 2600 mi apart. What was the speed of the slower plane? 285 mph 305 mph 325 mph 345 mph ------ 285 mph One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together? 12 min 18 min 24 min 30 min ------ 24 min If (x - y)² = 40 and x² + y² = 60, then xy= 40 20 12 10 ------ 10 If a triangle of base 6 has the same area as a circle of radius 6, what is the altitude of the triangle? 6π 8π 10π 12π ------ 12π What is next 5 3 9 7 21 19 __ 41 45 49 57 ------ 57 In the figure, what is the measure of angle x? 35° 45° 55° 70° ------ 55° Two trains running on the same track travel at the rates of 30 and 35 mph, respectively. If the slower train starts out an hour earlier, how long will it take the faster train to catch up with it? 4 hours 5 hours 6 hours 7 hours ------ 6 hours A naval detachment has enough rations to feed 16 ppl for 10 days. If four more ppl join the detachment, for how many fewer days will the rations last? 1 day 2 days 3 days 4 days ------ 2 days A field can be plowed by 9 machines in 5 hrs. If 3 machines are broken and cannot be used, how many hours will it take to plow the field? 7 1/2 hrs 8 1/2 hrs 9 1/2 hrs 10 1/2 hrs ------ 7 1/2 hrs What is the square root of 9 raised to the fourth power? 12 27 49 81 ------ 81 If 2˟ˉ² = 32, then x = 5 7 8 12 ------ 7 Jane received grades of 90, 88, and 75 on 3 tests. What grade must she receive on the next test so that her avg for these four tests is 86? 88 89 90 91 ------ 91 A family drove from New York to San Francisco, a distance of 3000 miles. They drive 1/10 of the distance the first day 1/9 of the remaining distance the second day. How many miles were left to be driven? 2200 miles 2300 miles 2400 miles 2500 miles ------ 2400 miles In a 3 hr examination of 320 questions, there are 40 mathematics problems. If twice as much time should be allowed for each mathematics problem as for each of the other questions, how many minutes should be spent on the mathematics problems? 40 minutes 45 minutes 50 minutes 55 minutes ------ 40 minutes 100,000 may be represented as 10^4 10^5 10^6 10^7 ------ 10^5 If a = 3b and 6b =12c, then a = 6c 9c 12c 15c ------ 6c The Hair Palace gives a 5 1/2 % discount to senior citizens. If Pam is 67 yrs old, and her hair restyling costs $75.00, what is the amount of her bill once the discount is applied? 55.88 57.88 66.88 70.88 75.00 ------ 70.88 2x (3xy + y) = 6xy + 2xy 6x²y + 2xy 3xy + 2xy 3x²y+ xy ------ 6x²y + 2xy What is the area of a circle? ------ A = π r² Find the area of the shaded portion of the figure 10.57 square feet 11.17 square feet 12.86 square feet 13.44 square feet ------ 12.86 square feet You are in charge of purchasing food for the annual Fourth of July picnic. If you purchase food items from whichever supplier will provide the item for the least cost, what would it cost for 400 cases of soda, 100 lbs of hotdogs, 150 lbs of hamburger, and 30 bags of potato chips? 1623.10 1710.05 1790.20 1801.15 ------ 1623.10 Yolanda invested $500 in an invest account and received $650 after 3 yrs. How much was her annual interest rate? 6% 8% 10% 12% ------ 10% Susan can paint a room in 6 hrs, while Tom can paint the same room in 5 hrs. Working together, how long will it take them to paint the room? 2.73 hrs 2.90 hrs 3.43 hrs 3.54 hrs ------ 2.73 hrs (5.37 x 10²) x (2.54 x 10^5) = 13.6398 x 10 13.6398 x 10^10 13.6398 x 10^3 13.6398 x 10^7 ------ 13.6398 x 10^7 This Mathematical Property or technique lets you multiply a sum by multiplying each addend separately and then add the products. ------ Distributive Property Apply the Distributive Property and simplify the following: -7(4x+5) -8 -28x + 43 28x - 43 -28x - 43 28x + 43 ------ -28x - 43 1/2x - 1/10 = 1/5x + 1/2 2 4 6 8 ------ 2 What is the area of a triangle? ------ 1/2 bh Given the radius, how do u find the diameter ------ The radius is 1/2 a diameter, so multiply by 2. What is the area of the shape? 4π + 12 square feet 6(π + 4) square feet 9π/2 + 12 square feet 6π -24 square feet ------ 9π/2 + 12 square feet How do u find the area of a rectangle? ------ A = L x W How many square inches in a square ft? ------ 12 in. x 12 in. = 1 square ft. 144 square in. If each brick is 3 inches wide and 5 inches long, how many bricks would u need to build a wall that will measure 10 ft by 16 ft? 940 980 1302 1536 ------ 1536 An imaginary number "i" is defined solely by the property that its square is ------ i² = -1 In Electrical Engineering, j is used instead of i (9i + 6)(3i - 7) = 27i² - 7i -45i - 69 18i - 4 18i + 4 ------ -45i - 69 Gravel is mixed with cement at a ratio of 5 parts of cement to 1 part of gravel. How many pounds of cement are there in 48 lbs of this mixture? 20 lbs 30 lbs 40 lbs 50 lbs ------ 40 lbs How much carpet would be necessary to cover a room which is 8 ft long and 6 ft wide? 14 square feet 20 square feet 40 square feet 60 square feet ------ 60 square feet A bakery specializes in peach and apple pies. Out of a batch of 26 pies, four are peach. What percent of the pies are peach? 10.3 percent 15.4 percent 20.5 percent 25.6 percent ------ 15.4 percent Convert 6.39 x 10^5 to regular notation (6.39)^5 x 10 639,000 639.10 0.000639 ------ 639,000 A refrigerator costs $400 to purchase outright, so it can be rented for a non-refundable deposit of $50 and monthly payments of $25. After how many months would the cost of rental equal the purchase cost? 10 months 12 months 14 months 16 months ------ 14 months Courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams of part thereof. What could be the weight in grams of a package for which the charge is $1.55? 1155 1145 1040 950 ------ 1155 If x/y is an integer, which of the following statements must be true? both x and y are integers x is an integer x = ny where n is an integer y/x is an integer ------ x = ny where n is an integer This is a list of numbers is the sum of all of the list divided by the number of items in the list. Mean Fraction Percentage ------ Mean The first term in a sequence is 1 and the second term is 5. From the third term on, each term is the average (aritmetic mean) of all preceding terms. What is the 25th term in the sequence? 2.5 3 5 25 ------ 3 The avg of 1 and 5 = 3 The avg of 1, 5, and 3 = 3 The avg of 1, 5, 3 and 3 = 3 All subsequent terms = 3 (3x + 2)(2x - 5)=ax² + kx + n. What is the value of a - n + k? 5 8 9 10 ------ 5 What is the simplified result of ff the steps in order? (1) add 5y to 2x (2) multiply the sum by 3 (3) subtract x + y from the product 5x + 14y 5x + 16y 5x + 5y 6x + 6y ------ 5x + 14y What is the avg of four tenths and five thousandths? 25002 2502 0.225 0.2025 ------ 0.2025 Which of the integers is not a prime number? 3 5 7 9 ------ 9 If 3ª = 9 What is the value of 4^(a+1) ? 25 30 35 64 ------ 64 If the ratio of 3x to 5y is 1:2, what is the ratio of x to y? 1/2 2/3 3/4 5/6 ------ 5/6 1 ton has how many lbs? ------ 2000 lbs If the floor area in a Navy warehouse measures 200 ft by 200 ft., what is the maximum safe floor load if the maximum weight the floor area can hold is 4000 tons? 120 lbs per square foot 140 lbs per square foot 160 lbs per square foot 200 lbs per square foot ------ 200 lbs per square foot Assume that the United States Mint produces one million nickels a month. The total value of the nickels produced during a year is $50000 $60000 $550000 $600000 ------ $600000 There are 20 cigarettes in one pack and 10 packs of cigarettes in a carton. A certain brand of cigarette contains 12 mg of tar per cigarette. How many grams of tar are contained in one carton of these cigarettes? (1 gram = 1000 mg) .024 grams 0.24 grams 2.4 grams 24 grams ------ 2.4 grams A certain government agency had a budget last year of $1,100,500. Its budget this year was 7% higher than that of last year. The budget for next year is 8% higher than this year's budget. Which one of the following is the agency's budget for next year? 1,117,600 1,161,600 1,261,700 1,271,700 ------ 1,271,700 How many seconds per question does one have to complete all questions in the Math Section of the ASTB? 75 60 50 40 ------ 50 25 min x 60 sec/min = 1500 sec / 30 problem = 50 sec / problem If x = 4z and Y = 6z then Y = 6/4 X 4/6 X 3/2 Y 3/2 X ------ 3/2 X Simplify the following: 4x² - 5x + 1 x-1 4x - 1 4x + 1 4x - 2 4x + 2 ------ 4x - 1 Simplify n + 6n²6n + 1 N + 1 N + 6 N² N ------ N How many seconds are in one hour? 60 1200 2400 3600 ------ 3600 How many inches are in one mile? 1,760 63,360 72,913 160,934 ------ 63360 5280 ft x 12 inches 5280 ft = 1 mile 1760 yards = 1 mile 72,913 inches = 1 nautical mi 160,934.4 cm = 1 mile An aircraft flies 250 mph for 30 mins, then 300 mph for 10 mins, and flies at 240 mph for 40 mins of flight. How far did you fly (assuming you can hold ur heading and fly along a straight line)? 315 mi 325 mi 335 mi 340 mi ------ 335 mi Two trains are 100 miles apart traveling towards each other at 40 mph and 30 mph. How far apart are they after 30 mintues? ------ 65 mi Formula for distance ------ Rate x Time If a car tavels 42 mph, how far does it travel in 1200 seconds? 14 mi 21 mi 28.57 mi 84 mi ------ 14 mi When adding bases containing exponents you can add the exponents even if the bases are the same. 5² + 5 = 5³ x² + x³ = x5 True False ------ False When multiplying bases containing exponents you can add the exponents even if the bases are the same. 5² x 5 = 5³ x² * x³ = x5 True False ------ True What are the perfect squares, from 11-15? ------ 121, 144, 169, 196, 225 What are the first 6 perfect cubes? ------ 1, 8, 27, 64, 125, 196 5n+1 = 125 n=? 2 3 4 5 ------ 2 4n4=64 ; n = ? 2 3 4 5 ------ 2 ½bh solves for the area of a circle parallelogram rectangle trapezoid triangle ------ triangle l x w solves for the area of a circle parallelogram rectangle trapezoid triangle ------ rectangle ½(b1 + b2) h solves for the area of a circle parallelogram rectangle trapezoid triangle ------ trapezoid ½ multiplied by the sum of bases times the height base multiplied by the height (bh) solves for the area of a circle parallelogram rectangle trapezoid triangle ------ parallelogram πr2 solves for the area of a circle parallelogram rectangle trapezoid triangle ------ circle 2πr solves for the circumference of a circle cyclinder sphere oval ------ circle a2 + b2 = c2 is also known as ------ Pythagorean Theorem sin A = a / c opposite/adjacent adjacent/hypotenuse opposite/hypotenuse ------ opposite/hypotenuse cos A = b / c adjacent/hypotenuse opposite/adjacent opposite/hypotenuse ------ adjacent/hypotenuse tan A = a / b adjacent/hypotenuse opposite/adjacent opposite/hypotenuse ------ opposite/adjacent An equilateral trangle has a side of 4. What is the length of the blue line? √12 2√3 √8 2√5 ------ 2√3 The formula for simple interest is the lump sum multiplied by the interest rate. What is compound interest? a) combines the incurred interest during periods b) the interest that has been added also itself earns interest c) is represented by the future value of the loan d) both a and b e) all of the above ------ all of the above What is the formula for the "future value" or the compounded interest and the principal? ------ FV = PV (1 + i)n How much interest is accrued on $1000 lump sum at 10% compounded over 2 years? $100 $210 $221 $240 ------ $221 according to the book, $221. How do u find the average? ------ Sum of the numbers / number of items John shoots 75, 82, 83 his first 3 rounds of golf. What score must he post on his last round to avg 80 over the four rounds? 78 79 80 81 ------ 80 80 x 4 = 320 320 - (75 + 82 + 83) = 80 The probability of an event occurring is equal to the number of events that you want to occur divided by the number of events possible. An example of this would be: (P+4M+O) / 6 flipping a coin, 50% chance e = mc² ------ flipping a coin, 50% chance Kudos to those that can identify the first one. In a 52 card deck, what is the probability of selecting a face card? 1/13 2/13 3/13 4/13 ------ 12/52 or 3/13 If 5x + 3y = 29 and x - y = 1, then x = ? 1 2 3 4 5 ------ 4 Solve for x: 2x / 7 = 2x² 1/7 2/7 2 7 14 ------ 1/7 If x is an odd integer, which one of the following is an even integer? 2x + 1 2x - 1 x² - x x² + x - 1 None of the above ------ x² - x 10˟ divided by 10ʸ 10x/y 10xy 10x+y 10x-y none of the above ------ 10x-y x - 2 x² - 6x + 8 The formula can be reduced to 1 x-4 1 x-2 x-2 x+2 1 x+2 1 x+4 ------ 1 x-4 If 3˟ = 27, what is the value of 4˟+1 24 48 65 108 none of the above ------ 65 The expression √28 - √7 reduces to √4 √7 3√7 √21 -√35 ------ √7 Mr. Norwalk bought 24 gallons of gasoline, which enables him to drive 648 miles. On the average, how many miles did he get per gallon of gasoline?25262728 ------ 27 How many blocks 6" x 4" x 4" can fit in a box 8' x 6' x 4'?2485763456 ------ 3456 Steve played in 14 basketball games. He scored a total of 53 field goals (2 points each) and 20 free throws (1 point each). What was his average score per game? 5 9 14 23 ------ 9 There are 800 employees at a company. If 60% drive to work and 30% take the train, how many employees arrive to work by car? 240 480 540 600 ------ 480 Min reads 3 hardcover mysteries and 4 soft cover mysteries. She reads 3 times as many nonfiction books as she did mysteries. How many nonfiction books did Min read? 9 12 18 21 ------ 21 In the election for Fairfield County Selectman, Mr. Williams got 33,172 votes, and Mr. Stevens got 25,752 votes. By how many votes did Mr. Williams win the election? 4377 5500 6257 7420 ------ 7420 What mathematical statement best represents the following?Six less a number is four?6 = n ( 46 < n + 46 - n = 4n - 6 = 4 ------ n - 6 = 4 A cylinder whose height is 8 inc has a volume of 128p³. If the radius is doubled and its height is cut in half, the volume of the rsulting cylinder is6p cm³128p cm³256p cm³ 512p cm³ ------ 256p cm³ Fencing costs $4.75 per foot. Posts cost $12.50 each. How much will it cost to fince a garden if 10 posts and 34 feet of fencing are needed?$472.50$336.50$315.50$286.50 ------ $286.50 Multiply (2x + 1)(2x - 1)2x² + 14x² + 14x² + 2x + 14x² + 4x + 1 ------ 4x² + 4x + 1 How much change would you get back from a $20 bill if you purchased 8 CD covers costing $1.59 each?$7.28$10.41$12.00$18.41 ------ $7.28 The sum of 2 feet 2½ inches, 4 feet 3 3/8 inches, and 3 feet 9 ¾ inches is9 feet 7/8 inches9 feet 9 5/8 inches10 feet 5/8 inches10 feet 3 5/8 inches ------ 10 feet 3 5/8 inches The scale on a map shows 500 feet for every 1/4 inch. If two cities are 6 inches apart on the map, what is the actual distance they are apart?125 feet750 feet2000 feet12000 feet ------ 12000 feet What is the probablility of rolling a sume of 9 using two dice?1/41/95/127/36 ------ 1/9 Three boxes are needed to hold 18 reams of paper. How many boxes are needed for 90 reams?56915 ------ 15 One gallon of paint covers 400 square feet. How many gallons are needed to cover 2225 square feet?5 gallons6 gallons7 gallons8 gallons ------ 6 gallons The sum of v50 + 3v72 is4 + v1224v1227v223v2 ------ 23v2 An appliance originally costing 1000 goes on sale one week for 25% off. The following week, it is discounted an additional 10%. What is the new sale price of the appliance?$650$675$750$900 ------ $675 Dennis ran a race is 2.2 minutes. Kayla ran the same race in 124 seconds. What is the difference between these two times?2 seconds8 seconds14 seconds22 seconds ------ 8 seconds What is the diameter of a circle whose circumference is equivalent to its area?2346 ------ 4 If 3 cans of soup cost $5.00, how much do 10 cans cost?$15.00$16.45$16.67$17.33 ------ $16.67 A savings account earns 2¼ % interest each year. How much interest is earned on a $1000 deposit after a 5 year period?22.50100.00112.50150.00 ------ 112.50 The product of 2 numbers is 117. If one of the numbers is , what is the other?11131517 ------ 13 Vanda put some water in the freezer. When she removed it, the water's temperature was 0° C. Leaving it out will raise the temperature 4° F each hour. At this rate, when will the water's temperature be 52° F?4 hrs5 hrs 13 hrs52 hrs ------ 5 hrs Sandy brought 4½ lbs of apples and 6 kiwi fruits. Brandon bought 3¼ lbs of apples and 9 kiwi fruits. IF the apples cost $1.39 lb and kiwis are 2 for $1.00, how much more money did Sandy spend than Brandon?0.240.941.542.32 ------ 0.24 -3(-4-5)-2(-6)=0-51539 ------ 39
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