Math Flashcards
1 lb in ounces
1 lb = 16 ounces
1 gallon in pints
1 gallon = 8 pints
1 gallon into quarts
1 gallon = 4 quarts
1 ton in lbs
2000 lbs
Total # of degrees in a shape
(# of sides - 2) x 180
Supplemental angles add up to
180º
Complementary angles add up to
90º
2 times r exceeds half of t by 5. Equation:
2r = (t/2) + 5
3 times x exceeds 1/3 of y by 9. Equation:
3x = (y/3) + 9
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?
(x/40) + (x/60) = 1
x = 24
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?
1.0x + (.20*25oz) = .50(25oz+x)
x = 15 oz…
…of pure acid needs to added to the 20% solution
Formula: Fahrenheit vs Celsius
F = (C * 9/5) + 32
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?
(x-10)/20 + x/30 = 1
x = 6
Formula: Fahrenheit vs. Kelvin
F = 9/5(K - 273) + 32
Knots vs. MPH
1 kt = 1.15 mph
KPH vs MPH
1 kph = 0.62 mph
(Gallons of gas used) x MPG =
Total miles travelled
A purchaser paid $17.16 for an item that had recently been increased in price by 4%. What was the original price?
(x/100) = (17.16/104)
x = 16.50
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?
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
In the figure below, if ACD is a straight line and AB = BC, then x =
x = 180° - 45° =
135°
In the figure below, if ACD is a straight line (D is invisible) and AB = BC, then x =
135°
What is the area, in square fee, of the figure below?
81
In square WXYZ, AX = 1, YZ = 2, and XB = BY. What is the perimeter of polygon WABYZ?
6 + v—-2
In order to balance the scale below, the fulcrum should be moved toward…
Toward B
x, which has a negative charge, is positioned between a positive charge (A) and a negative charge (B). In which direction will x move?
It will move toward A.
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?
1/2 inch.
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?
System A
In System A, as wheel X1 makes one revolution, Point A
travels the same distance as Point B
When the plug in the tube is removed, water flows
into the tube.
For which position of the weight is the tension on the string at Point X greater?
B
Which weight exerts less pull on the horizontal bar from which the weights hang by strings?
A
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?
A
If the board to the left was placed in water, in what orientation would it float?
B higher than A
If two resistors and a battery are arranged in each of the below circuits, which circuit would have the greatest resistance?
Circuit A
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
More than 1 inch
In which case is more force needed to raise the weight?
A
Which system requires more rope to be pulled to lift the weight the same distance?
B
Which pendulum takes less time to make one swing?
A
If pendulum A were the same length as pendulum B, which pendulum would take more time to make one swing?
Each would take the same time to make one swing.
