Fractions/Decimals
Percents/Signed Numbers
Random
Geometry
Ratio and Proportion
100
3/14 x 6/10
SIMPLIFY your answer.
18/140 --->9/70
(LCD is 2)
100
Express 5/6 as percent
5/6 =0.833333
0.8333 x 100 = 83.33333
83.3%
100
14 – (40/8)2
Use PEMDAS
14-5x2 (parentheses first)
14-10 multiplication next
4 subtraction last
100
Find the Area of circle with a diameter of 72”
A=πr2
Radius is half of diameter = 36
362 = 1,296
A≈1296×3.14=4069.44 in2
Or if you use π it's 4071.5 in2
100
If an aircraft has a wingspan of 40 feet, and a chord of 5 feet, what is the ratio of span to chord?
40:5 -->
8: 1
Why? It's like simplifying a fraction- find the LCD (in this case, 5)
40/5 =8
5/1 = 1
200
Express 0.875 as a fraction, simplify
7/8
875/1000
LCD = 125
7/8
But if you can't find it, start with 5 and work your way down.
200
-13 x -14
182
Two negatives multiplied equals a positive.
200
50−3×(6+4)2÷5
50-3x102 ÷5 (Parentheses)
50-3x100 ÷5 (exponent)
50-300 ÷5 (multiplication -left to right)
50-60 (division)
-10 (subtraction)
200
A rectangular shaped fuel tank measures 23 1/2 inches in length, 1/3 foot in width, and 9-3/4 inches in depth. What is the volume of the tank?
Convert everything to inches using decimals
23.5 inches, 4 inches, 9.75 inches
Volume=Length×Width×Depth
916.5 cubic inches or 916.5 inches3
200
A plane has 30 seats in first class and 90 seats in economy. Write the ratio of first class to economy seats.
1:3
300
3/9 ÷ 7/30
Express your answer as a mixed fraction.
KEEP, CHANGE, FLIP
3/9 X 30/7 = 90/63
LCD = 9
10/7 OR 1 3/7
300
60% = x/308
0.60 = x / 308
308 x 0.6
184.8
Or cross multiply:
60/100 = x/308
300
Name 1 safety precaution discussed this quarter
PPE, FOD, fire safety, electrical safety, chemical safety, etc.
300
Find the volume of a cylinder if radius = 7 cm, height = 12 cm
Volume πr2h
72 = 49
π x 49 x 12
1844.32cm3 (if using 3.14)
1847.256 cm 3 (if using π)
300
A small aircraft travels 180 miles using 12 gallons of fuel. At the same rate, how many miles can it travel with 20 gallons?
x = 300 miles
400
7/8 + 5/16
Express your answer as a decimal.
First find the LCD --> 16
14/16 + 5/16
Add the numerators, keep the denominators the same.
19/16 = 1.1875
400
A laptop’s price increases from $800 to $920. What is the percent increase?
1. Increase=new price−original price
920-800 = $120
2. % increase is the increase / original price
120/800 = 0.15
3. to find percent, multiply by 100
0.15 x 100 = 15%
400
name 3 hand tools used in aviation, per the textbook
scribers, punches, wrenches, pliers, calipers, micrometers, hammers, etc.
400
The area of a right triangle with a base of 7 inches and a height of 5 inches is ______________ square inches.
Area = 1/2 x base x height
0.5 X 7 X 5 = 17.5 square inches or in2
400
A factory produces 120 parts in 8 hours. How many hours will it take to produce 210 parts at the same rate?
14 hours
500
3 1/8 x 1.5
Give both a DECIMAL ANSWER and a FRACTION answer.
Convert the mixed number to an improper fraction
25/8
Step 2: Convert 1.5 to a fraction
3/2
Step 3: Multiply
75/16
Step 4: Convert back to a mixed number (optional)
4 and 11/16
Or use decimals- 3 1/8 = 3.125
3.125 x 1.5 = 4.6875
500
An airplane fuel tank holds 5,000 gallons when full. After a long flight, the tank is 40% empty.
How many gallons of fuel are left in the tank?
If the pilot wants to refill the tank to 100%, how many gallons must be added?
1. 0.6 x 5000 = 3,000 gallons left
2. 5000-3000 = 2000 gallons to refill
500
Find the volume:
PI x r2xheight
3.14 x 16 x 10
502.4 m3
500
A small aircraft’s ladder forms a right triangle with the ground. The base (distance from the ladder bottom to the aircraft) is 6 feet, and the height (distance from the ground to the top of the ladder) is 8 feet.
Question:
What is the length of the ladder (the hypotenuse)?
Remember a2 + b2 = c2 (c is the hypotenuse)
Plug in the formula:
62 + 82 = c2
36 + 64 = c2c2 = 100
Square root of 100 = 10. c= 10 feet
The ladder length is 10 feet.
500
FINAL QUESTION:
You need to install 16 rivets evenly around a circular inspection plate with a diameter of 4 inches.
What is the distance between each rivet?
Step one: find the circumference ( C = π×d )
C=3.1416×4≈12.5664 in
Step 2: Divide the circumference by the number of rivets.
12.5664 / 16 = 0.7854 inches