Math questions and answers

27.65 x 31.3 = a 865.445 b 835.556 c 867.5309 d 842.1

This is pretty easy as well. Simply make these a whole number. 27.65 x 31.3 into 2765 x 313 ----------- 865.445 A is the answer

what is the square root of 121 ? a 12 b 9 c 21 d 11

11 times 11 = 121 The answer is D 12 x 12 = 144 9 x 9 = 81 21 x 21 = 441 none of these are correct

Five students take a math test, scoring 97, 92, 81, 90, and 73. What is the median score in the group? a 90 b 86.6 c 73 d 92

If we recall correctly, the mean is when we add all the numbers and divide by the number of items we added. The mode is the number which occurs the most. The median is the number in the middle of all the numbers when placed in numerical order from least to greatest, left to right. 73, 81, 90, 92, 97 This would mean the median is 90 You answer is A

Which of the following is expressed as an improper fraction? a 1 5/28 b 9/7 c 1/2 d 345/346

The idea here is pretty simple, but there is a trick answer here. Overall, an improper fraction is a fraction whose numerator is greater than that of its denominator the only one that first the criteria is 9/7 thus the answer is B You could argue that A is the answer as well, but I wouldn't since it is a mixed fraction, not an improper fraction.

Find the mode: 46, 29, 47, 22, 100, 47, 157, 138, 47, 22, 184 a 22 b 47 c 76.3 d 184

The mode is the answer which or number which appears the most. In this case 47 appears 3 times We can also write it down to be sure. 46 x 1 29 x 1 47 x 3 22 x 2 100 x 1 157 x 1 138 x 1 184 x 1 Our answer is B

what is the product of 1/5 times 2/3 = a 2/15 b 3/15 c 2/5 d 1/15

This one is another simple one. Simply multiply top to bottom, left to right. 1x2 = 2 5x3 = 15 2/15 cannot be reduced further. 15 is a prime number.

Your convoy has to travel a straight line across 4.7 squares on a military map. Every grid equals 1,000 meters. How many meters will your convoy travel. a 4.7 meters b 470 miles c 470 meters d 4,700 meters

This one is pretty simple. You can look at it in two ways. It states there are 4.7 square total. It also states for every square, 1,000 meters have been crossed. If you round up to 5, that means 5,000 meters have been crossed. Rounding back down means your answer is probably 4,700. Another way to verify this is to find the factor between 4.7 and 1,000 Which gives us 4,700 D is your answer

Continue the pattern: ...5, 10, 9, 15, 20, 19, 25.... a 30, 35, 41 b 30, 29, 35 c 26, 30, 35 d 26, 30, 31

This pattern is pretty simple. There are three total things happening here. add 5, subtract 1, add 6, and repeat following this pattern we see that 5, 10, 9, 15, 20, 19, 25, will lead us to add 5, 30, subtract 1, 29 and lastly add 6, 35. As such our new pattern is 30, 29, 35. which is B

what is the product of 1/4 x 2/3? a 3/4 b 1/4 c 1/6 d 1/3

For this, simply multiply top to bottom, left to right. 1 x 2 = 2 4 x 3 = 12 2 1 -- -- 12 simplified is 6 Our answer is C

2^3 x 2^4 = a 16 b 108 c 128 d 148

This isn't too difficult. Simply multiply thrice. 2x2x2 = 8 4x2= 8 2x2x2x2 = 8x2 = 16 8x16 = 128 Our answer is C

What is the mean average of the following? 101, 15, 62, 84, and 55 a 55 b 63.4 c 75.5 d 56.25

To find the mean, simply add all the numbers and divide by how many numbers there were (or were added). 101 + 15 + 62 + 84 + 55 = 63.4 Which is B

solve: (4 x 3) x 3 - 6 x (9/3) a 54 b 14 c 18 d 28

C The first thing you must do are the equations in the parenthesis. 4x3 which factors 12 and 9/3 which quotients 3 this gives you 12x3-6x3 afterwards, you must find the find the factor of 12x3 and 6x3 which gives you 36 and 18 afterwards you must find the difference between 36 and 18 This gives you 18 Thus your answer is C

Express the ratio of 48 privates to 2 drill instructors. a 1:24 b 2:48 c 48:2 d 48:1

C is the answer. B is misleading since it is actually 2 privates to 48 drill instructors. C is can be stated as 48 privates to 2 drill instructors. 48:2

Which of the following fractions is the largest? a 2/3 b 5/8 c 11/16 d 3/4

D The best way I found to do this is to assume the bottom number is always 100% for instance, 2/3 x 100/1 is similar to saying, 2/3 = x/100 we simply isolate the x by multiplying each side by 100. Afterwards simply make 100 into a fraction. 2/3x100 2/3x1/100 As we know, we multiply fractions from top to bottom, left to right. thus we get 200/3 This does seem like a bit number. But take it slow. 3 goes into 20, 6 times. Giving us 18 with a remainder of 2, drop the 0 and do it again. This gives us 66%, no need to go further. Another method of doing this is as follows, 5 divided by 8 gives us a quotient of 0.62 8[5 50 48 20 Once again we are at 62% this time. While previously were at 66% the next equation is as follows, try 7 since it is the number to beat. if not go down to 6. 3 4 16 16 x 6 x 7 ------------ --------- 96 112 as you can see, 7 goes over by 1. Close, but not exact 0.68 16[11 110 96 -------------------- 140 128 C gives us 68% D is our final equation. There are two ways to do this equation 3/4 If you can multiply a number to make the denominator into 100%, you should In this case, 3 x 25 = 75 -- ---- 4 x 25 = 100 This is easily 75% and the highest percentage, thus our answer is D

How far will your platoon go if you march for 3 hours at 6 miles per hour? (Distance = Rate x Time) a 9 miles b 6 miles c 18 miles d 12 miles

Distance is easy to figure out. It is rate x time Rate is 6 miles per (time) 3 hours. 6 x 3 is equal to 18 the measurement is miles therefore it is 18 miles. C is the answer

David's dogs, Cujo and Achilles, got into a bag containing 250 dog treats. Together, the dogs ate 200 of the treats. What percentage of the treats remain? a 75 b 25 c 80 d 20

For this, once again assume that 250 is 100% 200 x ---- = --- 250 100 We isolate x by multiplying each side by 100. 200 ---- x 100 = x 250 Now simply multiply by making 100 a fraction. 200 100 ---- x ----after this multiply top to bottom, left to right 250 1 20,000 -------- 250 Then convert this by diving 20,000 by 250 This gives us 80 Your answer is 80 thus far. Another way to do this is to reduce the fraction which is much simpler. 200 ---- 250 can be reduced by 10 to be 20 --- 25 Then make 25 or 100% actually 100 percent by multiplying it by 4. Do this for the top as well. 20 x 4 = 80 25 x 4 = 100 your numerator is your percentage. Remember one last thing when doing this equation. The idea was, how many treats are left. If 80% were the amount of treats eating, then 20% are the amount of treats left.

what is the quotient of 3 divided by 3/4 a 2 1/4 b 4 c 3 3/4 d 5

In order to find the quotient first make 3 into a fraction. 3/1 divided by 3/4 After this, you will keep 3/1 switch the division sign to a multiplication sign and flip 3/4 to 4/3 3/1 x 4/3 Then multiply top to bottom, left to right 3x4 = 12 ---- 1x3 = 3 This reduced is = 4 since the quotient of 12 divided by 3 is 4 Remember, do not keep improper fractions. The answer is B

What's the prime factorization of 90? a 2 x 3 x 5 b 2 x 3^2 x 5 c 2^2 x 3^2 d 2 x 3 x 5^2

Prime factorization essentially means, what numbers which are only divisible by themselves and 1, make the number you're being asked to find. In this instance prime numbers are as follows. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97. Essential we want to use these numbers to give us 90. Since only 2, 3, and 5 are listed we won't worry about the rest. first, simply solve the equation. 2 x 3 x 5 is equal to = 6 x 5 = 30 This is incorrect. the factor of 2 x 3^2 x 5 is 2 x 9 x 5 = 18 x 5 = 90 B is the correct answer

Express 403,000,000,000,000 in scientific notation. a 4.03 x 10^14 b 4.03 x 10^-14 c 4.03 x 10 d 0.43 x 10

scientific notation isn't too difficult, and this particular question makes it even easier. in order to figure it out based on the answers given, you know your answer involves 14 decimal places. Whether from left to right depends on the expressed number. For this instance, let's look at answer A. in order to convert: 403,000,000,000,000 Assume there is a decimal point at the end. 403,000,000,000,000.0 Answer A suggests it is a positive notation. So we count from right to left. 403,000,000,000,000.0 403,000,000,000,00.0 = 1 403,000,000,000,0.0 = 2 403,000,000,000.0 = 3 403,000,000,00.0 = 4 403,000,000,0.0 = 5 403,000,000.0 = 6 403,000,00.0 = 7 403,000,0.0 = 8 403,000.0 = 9 403,00.0 = 10 403,0.0 = 11 403.0 = 12 40.3 = 13 4.03 = 14 So we reach 14, and our answer looks to be 4.03 x 10^14 <----------------------------------------

What's the product of 36 Squared and 49 Squared a 1,764 b 42 c 13 d 6

the square root of 36 is 6 6x and the square root of 49 is 7 6x7 is equal to 42 Our answer is B 42