Missed Question - Asvab
The area of a room measuring 12 feet by 15 feet is A) 9 square yards B) 12 square yards C) 15 square yards D) 20 square yards
- - First step is to notice that all the answer are in square yards, so were going to have to convert 12 feet by 15 feet in square yards -- Now we're going to change 12 feet by 15 feet into square yards. " 3 feet in 1 yard" We're going to simplify 12 by 3 and 15 by 3 to convert the until = 4 square yards by 5 square yards. Now find the Area ( A= L x W) 5 x 4 = 20 square yards
Andy spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Andy's groceries? A) $114.86 B) $114.56 C) $110.45 D) $343.68
Answer: B Avg = sum/ number 120.37 + 108.4 + 224.86 / 3 - add everything up and divide it by 3 -
The sum of the measures of the angles of a hexagon is A) 540 B) 720
Answer : B - - remember the formula of Sum of Interior Angels of Polygons -- Hexagon has 6 sides 180 ( n - 2) 180(6-2) 180 ( 4) = 720
A certain type of siding for a house costs $10.50 per square yard. What does it cost for the siding for a wall 4 yards wide and 60 feet long? A) $800 B) $840 C) 2,520 D) 3,240
Answer : B -- The first step is to convert 60 feet into yards. Since there 3 feet in 1 yard -- Gonna 60 by 3 = 20 Now you can times 4 x 20 to get the area of the wall = 80 " A = L x W" Last step is to times $ 10.50 by 80 = 840$
Harder Question Body mass index (BMI) is equal to weight in kilogram/(height in meters). A man who weights 120 kilograms has a BMI of 30. How tall is he? A) 4 meters B) 2 meters C) 1.75 meters
Answer : B BMI = kilo / h^2 - write into a math problem - BMI = 120/ h^2 x 120 1/ 120 x 30 = 120/ h^2 x 120 1/4 = square root of h^2
A field measures 100 yards by 75 yards. If a person wanted to walk diagonally from one corner of the field to the other corner, how far would she walk? A) 100 yards B) 200 yards C) 125 yards D) 60 yards
Answer : C - - First step is to draw a rectangular and label by 75 yards by 100 yards -- Since the person wants to walk diagonally from one corner to another. We're going to cut diagonally in rectangular, which now makes a triangle. Since, were trying to find how far she walks were going to be using " Pythagorean Theorem" a^2 + b^2 = c^2 75^2 + 100^2 = c^2 - - Were going to simplify 75 and 100 by 25 to reduce the process -- 3^2 + 4^2 = c^2 9 + 16 = c^2 - - square root to get rid of the ^2 - - 25 = 5 25 x 5 = 125
The perimeter of a rectangle is 90. One side of the rectangle is twice the length of the other. What is the length of the longer side? A) 20 B) 25 C) 30 D) 35
Answer : C - the perimeter = 90 - 90 = 2x +2x+ x+x 90 = 6x - divide it - x = 15 - then times 15 by 2 to find the longer length - x = 30
On a map, 1 centimeter represents 10 kilometers. If two cities are 4.5 centimeter apart on the map, what is the actual distance between them in kilometers? A) 10 B) 15 C) 20 D) 45
Answer : D 1 cen. / 10 kil. = 45 cent. / x - cross multiply - x = 45
A rectangle is three times as long as it is wide. The perimeter of the rectangle is 146 inches. What is the length of the rectangle? A) 45 inches B) 55.1 inches C) 68.9 inches D) 70 inches
Answer = A - draw out a rectangle and translate into a math problem - 147 = 3x+ 3x+ x+x 147 = 8x - divide by 8 x = 18. 4 - remember it's asking for the length of the rectangle - 18.4 times 2 = 45.2 = 45
Carpet stain protector costs $0.65 per square yard to apply. How much will it cost to apply the protectant to a 16 - foot by 18 - foot carpet? A) $20.80 B) $96.00 C) $62.40 D) $187.20
Answer = A - 9ft per square yard - 16 times 18 = 288 288 divide by 9 = 32 32 times .65 = 20.8-
Jean had $25.86 in her pocket. If shoes cost $7.50 a pair plus 10% of tax. How many pairs can she buy? A) 2 B) 3 C) 4 D) 5
Answer = B
A television normally sells for $300, but is on sale for 15% off. What is the sale price? A) 255 B) 265 C) 270 D) 285
Answer: A 15/100 = d/300 -- Cross Multiply 100d = 15(300) 100d = 4500 Divide 100 by both side d = 45 Original price minus the discount: 300 - 45 = 255
The 4th root of 256 is: A) 4 B) 8 C) 16 D) 24
Answer: A 4 times 4 times 4 times 4 = 256 8 times 8 times 8 times 8 = 4096 16 times 16 times 16 times = 65536 24 times 24 times 24 times 24 = 331776
Mack travels, 1,100 miles during a 40 - hour workweek. If he spends two - fifths of his time traveling, how many hours does he spend traveling? A) 16 B) 12 C) 22 D) 8
Answer: A - its not a d = rt - 40 times 2/5 = 16
Harder Question A boat covers 16 miles in 2 hours while traveling downstream. To go the same distance upstream, it takes the boat 4 hours. What is the speed of the boat in still water? A) 4 mph B) 6 mph C) 8 mph D) 5 mph
Answer: B - right off the back to travel downstream is going to go fast than coming upstream - - - it would help if you drew out a chat with distance, rate, and time - - Downstream: 16 = (r+c) 2 . - - - > 2r + 2c = 16 (simply by 2) r+c = 8 Upstream: 16 = (r-c)4 - - - > 4r -4c = 16 (simply by 4) r - c = 4 r+c = 8 r+c = 8 r-c = 4 2r = 12 -2r -2r r = 6
Add all the number between 1 and 300. A) 4,150 B) 45,150 C) 7,320 D) 73,320
Answer: B formula = n(f+l) /2 300(1+300) / 2 90300/2 = 45,150
Hard Question Two bicyclists head toward each other from the opposite ends of Main Street, which is 6 miles long. The first biker started at 2: 05 going 12 mph. The second biker began peddling four minutes later at a rate of 14 mph. What time will they meet? A) 2:13 B) 2: 21 C) 2:29 D) 2:34
Answer: B were going to use d = rt - we know the first biker started peddling at 2: 05 at 12 mph. - - we know the second biker started peddling 4 minutes later , due to this we need to know how much they cover in 4 minutes before we can combine the whole equation - d = 12 (4/60) d = 48/60 - divide by 4 - = 12/15 - divide by 3 - = 4/5 = .8 - now that we find time we need to subtract 6 miles due to take he or she started before them - 5.2 = 26 (t) 5.2/26 = t t = 2 - convert to hours - 12 - then we add 12 plus 4 - = 16 minutes = 2:21
Your commander orders you to fly a weather balloon at the end of a 500 - foot string. Your first sergeant comes out of a nearly building and stands directly under the balloon 300 feet away from you, and yell, " How high is that balloon?" Assuming the ground is level, what is the correct answer? A) 200 feet B) 300 feet C) 400 feet D) 500 feet
Answer: C - your going to cut the rectangular into a triangle - - use the formula a^2 + b^2 = c^2 - 300^2 + b^2 = 500^2 - take away zeros- 3^2 + B^2 = 5^2 9 + b^2 = 25 -9 . -9 b^2 = 16 - square root both sides - b = 4 - add the zeros back in - b = 400
Which of the following fractions is the largest? A) 13/20 B) 3/5 C) 13/16 D) 3/4
Answer: C 13/20 - divide 13 by 20 to get 65% - 3/5 - divide 3 by 5 to get 60% - 13/16 - divide 16 by 13 to get 81% -
In a bundle of 30 fruits, 6 are apples and the rest are oranges. What percent of the bundle is composed of apples? A) 47% B) 47.75% C) 20% D) 40.75%
Answer: C 6/30 then simply by 6 comes out = 1/5 Then divide 1/5 comes out to .2
The temperature outside is 89 degrees Fahrenheit. What is the temperature in degrees Celsius? Use C = 5/9(F - 32) A) 49.4 B) 55.6 C) 31.7
Answer: C C = 5/9 ( 89 - 32) C = 5/9 (57) 5/9 x 57/1 - going to divide 9 by 285 - = 31. 7
A road map is drawn on the scale of 1 inch equals 10 miles. When planning your trip, you notice that you'll have to travel 10 inches ( on the map) to the first turn, 7 inches to the second turn, and then 15 inches to your destination. Your car gets 28 miles per gallon, and gas costs $2.73 per gallon. How much gas money will you need for the round - trip? A) $42.86 B) $33.27 C) $62.41 D) $ 51.23
Answer: C miles/ gallon First step: is to add up 10+7+15 = 32 - remember its a round- trip - Second step: to times 32 by 2 = 64 Third step: 1 inch equals 10 miles - so since we found the miles to the round - trip we need to times 10 by 64 = 640 - Fourth step: to divide 28 by 640 = 22.85 - remember to round up - Fifth step: times 22.9 by $2.73 = $62.42
On a hike, Mike walked 5 miles in 2 hours. At this rate, how far will he walk in 7 hour? A) 14.5 B) 14 C) 17.5 D) 17
Answer: C d = rt - first find the rate that he walk in 2 hours to reach 5 miles - 5 = x (2) x = 5/2 - divide - x = 2.5 - now that we find the rate he walk, we need to solve for distance - x = 2.5 (7) x = 17.5
Which number should appear to complete the following sequence: 312, 315, 319,...,330,337? A) 322 B) 323 C) 324 D) 327
Answer: C - when it comes to sequence youll have to play around with the numbers - 312 to get to 315 is = 3 315 to get to 319 is = 4 319 to get to ... is = 5 330 to get to 357 is = 7 . - it looks like it going up a number each time-
If it takes 2 minutes to fill your gas tank 2/3 full, how long does it take to fill it up? A) 6 minutes B) 4 minutes C) 5 minutes D) 3 minutes
Answer: D it takes 2 mins for your gas tank to be 2/3 1 min = 1/3 - add 1/3 + 1/3 = 2/3 - 2 min = 2/3 - add 2/3 + 1/3+ = 3/3 - 3 min = 3/3
The total length of fencing needed to enclose a rectangular area 46 feet by 34 feet is A) 26 yards, 1 foot B) 26 2/3 yards C) 52 yards, 2 feet D) 53 1/3 yards
Answer: D - - First your gonna want to draw out a rectangular with the area of 46 feet by 34 feet -- - - Since the question is asking for the " total length of the fence to close it" , you should know off the back it's going to be a perimeter problem - - 46+46+34+34 = 160 - - However, all the answer are in yards so were going to have to convert it - - 3 divide by 160 = 53 1/3
8 yards + 15 feet = A) 11 yards B) 9 yards C) 24 feet D) 39 feet
Answer: D - 3ft in 1 yard - were going to change 8 yards into feet 8 times 3 = 24 24 + 15 = 39
After the price of a laptop computer is discounted 15%, the laptop sells for $527. What was the original price of the laptop A) 443 B) 598 C) 600 D) 620
Answer: D 100% - 15% = 85% 85/100 = 527/x . -- Cross Multiply 85x = 100(527) 85x = 52700 Divide 85 by both side x = 620
A gallon contains 4 quarts. A cartoning machine can fill 120 one-quart cartons a minute. How long will it take to put 600 gallons of orange juice into cartons? A) 1 minute and 15 seconds B) 5 minutes C) 10 minutes D) 20 minutes
Answer: D 600 times 4 = 2400 2400 times .05 = 144 2400-144 = 20
Convert 62 percent into a fraction A) 2/3 B) 3/4 C) 7/10 D) 31/50
Answer: D 62/ 100 - divide by 2 to simply - = 31/50
What is the length of the sides of a square that has an area of 225 square inches? A) 12 inches B) 13 inches C) 14 inches D) 15 inches
Answer: D A = s^2 square root of s^2 = square root of 225 s = 15 inches
A car headed west for North Platte left at the same time that a car headed east left the same place. The car headed west for North Platte traveled at 55 miles per hour. The car headed east traveled at 70 miles per hour. How many miles apart were the cars at the end of 2.5 hours? A) 212 miles B) 165. 5 miles C) 125 miles D) 312.5 miles
Answer: D D= rt d = 55 (2.5) d = 137.5 d = 70 (2.5) d = 175 were going to add both distance together to see how many miles apart they are in 2.5 hours = 312.5
An airplane traveled 1,824 miles in 3 hours. What was its average speed in miles per hour? A)557 mph B) 708 mph C) 500 D) 608
Answer: D d =rt 1,824 = r(3) - divide by 3 - r = 608
