Math

Question 1

1 lb in ounces

Answer 1

1 lb = 16 ounces

Question 2

1 gallon in pints

Answer 2

1 gallon = 8 pints

Question 3

1 gallon into quarts

Answer 3

1 gallon = 4 quarts

Question 4

1 ton in lbs

Answer 4

2000 lbs

Question 5

Total # of degrees in a shape

Answer 5

(# of sides - 2) x 180

Question 6

Supplemental angles add up to

Answer 6

180º

Question 7

Complementary angles add up to

Answer 7

90º

Question 8

2 times r exceeds half of t by 5. Equation:

Answer 8

2r = (t/2) + 5

Question 9

3 times x exceeds 1/3 of y by 9. Equation:

Answer 9

3x = (y/3) + 9

Question 10

One recruiter can complete a certain assignment in 40 minutes; another recruiter can complete the same assignment in one hour. How long would it take to complete the assignment if they work together?

Answer 10

(x/40) + (x/60) = 1

x = 24

Question 11

How much pure acid must be added to **25 oz **of a solution of that is 20% pure acid in order to make a solution that is 50% pure acid?

Answer 11

1.0x + (.20*25oz) = .50(25oz+x)

x = 15 oz…

…of pure acid needs to added to the 20% solution

Question 12

Formula: Fahrenheit vs Celsius

Answer 12

F = (C * 9/5) + 32

Question 13

A can complete a project in 20 days, and B can complete the same project in 30 days. If *A *and B start working on the project at the same time, and *A *quits 10 days before the project is completed, in how many days will the project be completed?

Answer 13

(x-10)/20 + x/30 = 1

x = 6

Question 14

Formula: Fahrenheit vs. Kelvin

Answer 14

F = 9/5(K - 273) + 32

Question 15

Knots vs. MPH

Answer 15

1 kt = 1.15 mph

Question 16

KPH vs MPH

Answer 16

1 kph = 0.62 mph

Question 17

(Gallons of gas used) x MPG =

Answer 17

Total miles travelled

Question 18

A purchaser paid $17.16 for an item that had recently been increased in price by 4%. What was the original price?

Answer 18

(x/100) = (17.16/104)

x = 16.50

Question 19

A naval detachment has enough rations to feed 16 people for 10 days. If 4 more people join the detachment, for how many fewer days will the rations last?

Answer 19

Total rations = (16 ppl) x (10 days) = 160 rations

(160/16) - (160/20) = 10 - 8 = 2 less days

(160/16) = before new guys came

(160/20) = after 4 new guys arrived

Question 20

A field can be plowed by 9 machines in 5 hours. If 3 machines are broken and cannot be used, how many hours will it take to plow the field?

Answer 20

(9 machines) x (5 hours) = 45 machine-hours required

3 of 9 machines are broken, so we have only 6 machines to use.

(45 machine-hours) / (6 machines) = 7.5 hours

Question 21

In a 3-hour exam of 320 questions, there are 40 math problems. If twice as much time should be allowed for each math problem as each of the other questions, how many minutes should be spent on the math problems?

Answer 21

x = minutes to be spent on each problem or question

(40 * x) + (280 * x/2) = 180 minutes

x/2 = time for non-math questions

280 = number of non-math questions

x = 1 minute per math problem

Question 22

A tank that holds 450 gallos of water can be filled by 1 pipe in 15 minutes and can be emptied by another in 30 minutes. How long would it take to fill the tank if both pipes are open?

Answer 22

450/15 = 30 gal per min fill-rate

450/30 = 15 gal per min empty-rate

30 gpm - 15 gpm = 15 gpm filling with both pipes open

(450 gal) / (15 gpm) = 30 minutes

Question 23

If a driver complete a trip of 120 miles at a rate of 30 mph, at what rate would the drive have to travel on the return trip in order to average 40 mph for the whole trip?

Answer 23

Roundtrip = 120 miles x 2 trips = 240 miles

240 miles @ an average of 40 mph requires 6 hours.

4 hours have already been spent, leaving 2 hours to complete the remaining 120 miles

(120 miles) / (2 hours) = 60 mph

Question 24

A bridge crosses a river that is 1520 ft wide. One bank of the river holds 1/5 of the bridge, and the other bank holds 1/6 of the bridge. How long is the bridge?

Answer 24

x = length of bridge

(1/6 + x) + (1/5 + x) + 1520 = x

(1/6 + x) = one bank

(1/5 + x) = other bank

1520 = width of river

5x + 6x + 45,600 = 30x

x = 2,400 ft

Question 25

Total number of degrees in the three angles of a triangle?

Answer 25

180°

Question 26

In the figure below, if ACD is a straight line and AB = BC, then x =

Answer 26

x = 180° - 45° = **135°**

Question 27

(0.2)² =

Answer 27

0.04

Question 28

A marine fires x rounds of ammunition, gives 2x to his buddy, and has 27 remaining in his magazine. If he had 120 rounds in all, then x =

Answer 28

x + 2x + 27 = 120 3x = 93 **x = 31**

Question 29

In the figure below, if ACD is a straight line (D is invisible) and AB = BC, then x =

Answer 29

135°

Question 30

The perimeter of a rectangle is 180 ft and the width is 1/2 of the length. What is the length?

Answer 30

60 ft

Question 31

What is the area, in square fee, of the figure below?

Answer 31

81

Question 32

In square WXYZ, AX = 1, YZ = 2, and XB = BY. What is the perimeter of polygon WABYZ?

Answer 32

6 + v^----2

Question 33

Distance between two coordinates?

Answer 33


Question 34

In order to balance the scale below, the fulcrum should be moved toward...

Answer 34

Toward B

Question 35

x, which has a negative charge, is positioned between a positive charge (A) and a negative charge (B). In which direction will x move?

Answer 35

It will move toward A.

Question 36

If the large piston has 2 times the surface area of the small piston, how far must the large piston be pushed down to raise the small piston 1 inch?

Answer 36

1/2 inch.

Question 37

Imagine if wheels X were the front sprocket of a bicycle and wheels Y were the rear sprocket. Which system would be the hardest to pedal uphill?

Answer 37

System A

Question 38

In System A, as wheel X1 makes one revolution, Point A

Answer 38

travels the same distance as Point B

Question 39

When the plug in the tube is removed, water flows

Answer 39

into the tube.

Question 40

For which position of the weight is the tension on the string at Point X greater?

Answer 40

B

Question 41

Which weight exerts less pull on the horizontal bar from which the weights hang by strings?

Answer 41

A

Question 42

A submarine is travelling through the ocean when its outer hull cracks and air pushed out of its lower-right side. In which direction must the rudder be turned to ensure the submarine remains on its heading?

Answer 42

A

Question 43

If the board to the left was placed in water, in what orientation would it float?

Answer 43

B higher than A

Question 44

If two resistors and a battery are arranged in each of the below circuits, which circuit would have the greatest resistance?

Answer 44

Circuit A

Question 45

The lever below is anchored just to the left of Point A. If one were to rise it 1 inch measured from Point A to the ground, Point B would rise

Answer 45

More than 1 inch

Question 46

In which case is more force needed to raise the weight?

Answer 46

A

Question 47

Which system requires more rope to be pulled to lift the weight the same distance?

Answer 47

B

Question 48

Which pendulum takes less time to make one swing?

Answer 48

A

Question 49

If pendulum A were the same length as pendulum B, which pendulum would take more time to make one swing?

Answer 49

Each would take the same time to make one swing.