Math Knowledge Practice Test 1

If 1/3 of an office staff is on vacation and 1/4 of those not on vacation are out sick, what fraction of the staff is in the office?

1/2 If 1/3 are on vacation, then 2/3 are not. Of those 2/3 not on vacation, 3/4 are NOT sick. Therefore 2/3 x 3/4 are in the office (not on vacation and not sick) = (2x3)/(3x4)=6/12=1/2

A stack of sports cards contains 3 baseball cards, 3 football cards and 6 hockey cards. If one card is picked at random, what is the probability that it is a hockey card?

1/2 There are 12 cards in total. Therefore, the probability of picking a hockey card is 6/12 or 1/2.

In a bag of candy, there are 4 Tootsie Rolls, 3 Lollipops, 5 Hershey Kisses and 6 Starbursts. If you select one piece of candy at random, what is the probability that it will be a lollipop?

1/6 There are 18 total pieces of candy and 3 lollipops. Therefore, the probability of picking one lollipop is 3/18 which simplifies to 1/6

If 0.05z = 1, then z =

20 Divide both sides by 0.05. Therefore, z= 1/0.05=20

How many different combinations of shirts and ties are possible if you have 4 shirts and 5 ties?

20 With each of the 4 shirts you can wear one of the 5 ties, so the total number of combinations is 4 x 5 = 20

If x + y + 15 = 30 and x + y = z, then 40 - z =

25 If x + y + 15 = 30, then z+ 15 = 30 (substitute x + y = z) which means that z = 15. If z = 15, then 40 - z = 40 - 15 = 25

If 40 is divided by .08, the result is

500 40 divided by .08 = 500

What is 4 cubed?

64 4 cubed is 4 x 4 x 4 = 64

If x = y, what does 4(x-y) + 7 =?

7 If x = y, then you can subsitute x for y in the 2nd equation - so 4(x-x)+7 = 4(0)+7=7

Which is of the following numbers is NOT a prime number?

93 93 is not a prime number since it is equal to 31 x 3. If you add up the digits of a number and they are divisible by 3, then the number is also divisible by 3.

A cube has a volume of 64 cubic feet. The surface area of the cube is?

96 square feet A cube is made up of equal length sides (s). The volume of a cube is s x s x s. Therefore, s=4 in this case (4x4x4=64). A cube is made up of 6 squares, each with an area of s x s. Therefore, the surface area of a cube is 6 x s x s = 6 x 4 x 4 = 96

If F = M x A, then what does A =?

F/M

(x+4)(x+4) =

Use the FOIL method (First, Outside, Inside, Last) to solve. X2 +4x +4x + 4x4

A woman has Z dollars to spend. After she spends $500, how much money does she have left?

Z - 500 You need to subtract the money that she spent ($500) from the original money that she had (Z).