Compass Maths Flashcards
16% of an airline which has 1600 employees works on board of the aircraft. How many people don’t work on board?
1344
An aircraft travels at 9 miles per min. What is the equivalent in miles per hour?
540 mph
An aircraft is 48 miles from the next radio beacon. Current ground speed is 360mph, current altitude is 29,000ft. What decent rate is required for the aircraft to pass the beacon at an altitude of 27,000ft? (rounded)
250 fpm.
The speed of sound at sea level is 760 mph. What is the speed of an aircraft flying at Mach 0.45 at sea level?
342 mph
An aircraft flies at a constant speed for 72 min due west and then for 74 min due north. Assuming there is no wind what will be the aircrafts compass heading to return to its starting point?
135
A dice has an edge length of 8 cm and has a weight of 96g. How many grams would a dice be with an edge length of 4cm?
12 g
The smaller cube will fit in to the larger cube 8 times therefore 96/8 =12g
Two aircraft are flying in the same direction. While the first aircraft flies at a speed of 180mph, the second maintains a speed of 240mph. The second aircraft catches up with the first aircraft after 12 mins. How far were the aircraft away from each other?
12 miles apart.
A TV set is 62 Euro more expensive than the corresponding cabinet. Both together are 572 Euro. How much is the cabinet?
255 Euro.
2x - 62 = 572
2x = 572 - 62
2x = 510
x. = 255
Monthly passenger count at an airport with two terminals is 210,000. How many passengers travelled at terminal 2 if the passenger count of terminal 1 is 137,000?
73,000
A component costs 82.60 Euro if you get a 30% reduction. How much without the reduction?
118 Euro.
- 60 / 70(%) = 1.18
- 18 x 30(%) = 35.4 (Euro)
- 4 + 82.60 = 118 (Euro)
An aircraft climbs from 12,600 ft to 14,700 ft. How long does it take if a climb rate of 300 ft/min is applied?
7 mins
A wheel rotates 5000 times. How many rotations does a second wheel do if the rotations are at the ratio 3:9.?
15000 times.
5000 / 3 = 1666.66666
1666.6 x 9 = 15000.
9000 bolts have to be divided in to two different cartons. It is expected that one carton will contain 4 times as many pieces as the other carton. How many bolts are in the smaller carton?
1800 bolts.
9000 / 4 = 1800.
A tv set is 74 Euro more expensive than its corresponding cabinet. Both together are 658 Euro. How much is the cabinet?
292 Euro.
----------------------------------- 2x - 74 = 658 2x = 658 -74 2x = 584 X = 292
An aircraft turns left from a course of 105 degrees to a course of 350 degrees. Through how many degrees does it turn?
115 degrees
An aircraft flies for 576 km at a speed of 360 mph. One mph = 8/5km. How many mins will it take to fly 576km?
60 mins.
576 / 8 = 72
72 x 5 = 360
Therefore 576km = 360miles.
The side of a cube is 64cm squared. What is its volume?
512 cubed.
64 x 8(number of sides in a cube)
= 512 cubed.
Current time is 02:46. What is the time when you subtract 87 mins?
01:19
At 32 degrees F a centigrade thermometer will read 0 degrees C. 1 degree F is 5/9 degrees C. What will a centigrade thermometer read at 140 degrees F?
60 C
C=F-32 x 5 / 9
Total weight allowed for passengers in a plane are 7000kg. How much may each passenger weigh if the plane has 100 seats?
70kg
An aircraft is 45mi away from the next radio beacon. Current ground speed is 540mph, current altitude is 20,000ft. What rate of decent is required for the aircraft to pass the beacon at an altitude of 15,000ft?
1000ftpm
A pipe with a diameter of 2 centimetres fills a swimming pool in 28 mins. How long would it take to fill if the pipe has a diameter of 4 cm?
7 mins.
28 / 4
Peters gets from his parents 75 Euro pocket money every month. In July he spends 38% on magazines and 14% for a public swimming pool. He wants to put the remaining money in his piggy bank. How many Euro go in to his piggy bank?
36 Euro
4777 + 249 + 137
5163
4443 – 3334
1109
0.83 * 1000
830
346788 divided by 13
26676
If a triangle has one side 3cm and the other side 4cm how long is the hypotenuse?
5cm
If a triangle has one side 6cm and the other side 8cm how long is the hypotenuse?
10cm
You have 150lts of Glycol (de-icing fluid). If it is mixed 75% fluid 25% water what is the total amount?
200lts
2x + 13 = 21y. If x = 4, what is y?
1
What is 40% of 760?
304
The speed of sound is 660mph in standard conditions. What is the speed in mph at Mach 0.8?
528mph
315 x 64
20160
What is 2/5 as a percentage?
40%
An aircraft descends from 37,000ft to 13,000ft. It travels 10nm for every 3,000ft of height lost. How many nautical miles does it travel whilst descending?
80NM
Concorde travels 3500 miles in 3 hours 30 minutes. What is its groundspeed?
1000NM
Relative velocity problem: Point A and point B are 120km apart. An aircraft leaves point A headed for point B at 200km/h, another aircraft leaves point B headed for point A at 100km/h. Where do they meet?
80km from point A (40km from point B)
(The first aircraft is travelling twice the speed of the second. Closure rate of 300kmph. Therefore 120km divided by 3 equals 40km. The first aircraft travels 80km the second travels 40km)
