Compass Maths

Question 1

16% of an airline which has 1600 employees works on board of the aircraft. How many people don’t work on board?

Answer 1

1344

Question 2

An aircraft travels at 9 miles per min. What is the equivalent in miles per hour?

Answer 2

540 mph

Question 3

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)

Answer 3

250 fpm.

Question 4

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?

Answer 4

342 mph

Question 5

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?

Answer 5

135

Question 6

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?

Answer 6

12 g

The smaller cube will fit in to the larger cube 8 times therefore 96/8 =12g

Question 7

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?

Answer 7

12 miles apart.

Question 8

A TV set is 62 Euro more expensive than the corresponding cabinet. Both together are 572 Euro. How much is the cabinet?

Answer 8

255 Euro.

2x - 62 = 572
2x = 572 - 62
2x = 510
x. = 255

Question 9

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?

Answer 9

73,000

Question 10

A component costs 82.60 Euro if you get a 30% reduction. How much without the reduction?

Answer 10

118 Euro.

82. 60 / 70(%) = 1.18
83. 18 x 30(%) = 35.4 (Euro)
84. 4 + 82.60 = 118 (Euro)

Question 11

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?

Answer 11

7 mins

Question 12

A wheel rotates 5000 times. How many rotations does a second wheel do if the rotations are at the ratio 3:9.?

Answer 12

15000 times.

5000 / 3 = 1666.66666
1666.6 x 9 = 15000.

Question 13

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?

Answer 13

1800 bolts.

9000 / 4 = 1800.

Question 14

A tv set is 74 Euro more expensive than its corresponding cabinet. Both together are 658 Euro. How much is the cabinet?

Answer 14

292 Euro.

-----------------------------------
2x - 74 = 658
2x = 658 -74
2x = 584
X = 292

Question 15

An aircraft turns left from a course of 105 degrees to a course of 350 degrees. Through how many degrees does it turn?

Answer 15

115 degrees

Question 16

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?

Answer 16

60 mins.

576 / 8 = 72
72 x 5 = 360

Therefore 576km = 360miles.

Question 17

The side of a cube is 64cm squared. What is its volume?

Answer 17

512 cubed.

64 x 8(number of sides in a cube)
= 512 cubed.

Question 18

Current time is 02:46. What is the time when you subtract 87 mins?

Answer 18

01:19

Question 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?

Answer 19

60 C

C=F-32 x 5 / 9

Question 20

Total weight allowed for passengers in a plane are 7000kg. How much may each passenger weigh if the plane has 100 seats?

Answer 20

70kg

Question 21

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?

Answer 21

1000ftpm

Question 22

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?

Answer 22

7 mins.

28 / 4

Question 23

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?

Answer 23

36 Euro

Question 24

4777 + 249 + 137

Answer 24

5163

Question 25

4443 – 3334

Answer 25

1109

Question 26

0.83 * 1000

Answer 26

830

Question 27

346788 divided by 13

Answer 27

26676

Question 28

If a triangle has one side 3cm and the other side 4cm how long is the hypotenuse?

Answer 28

5cm

Question 29

If a triangle has one side 6cm and the other side 8cm how long is the hypotenuse?

Answer 29

10cm

Question 30

You have 150lts of Glycol (de-icing fluid). If it is mixed 75% fluid 25% water what is the total amount?

Answer 30

200lts

Question 31

2x + 13 = 21y. If x = 4, what is y?

Answer 31

1

Question 32

What is 40% of 760?

Answer 32

304

Question 33

The speed of sound is 660mph in standard conditions. What is the speed in mph at Mach 0.8?

Answer 33

528mph

Question 34

315 x 64

Answer 34

20160

Question 35

What is 2/5 as a percentage?

Answer 35

40%

Question 36

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?

Answer 36

80NM

Question 37

Concorde travels 3500 miles in 3 hours 30 minutes. What is its groundspeed?

Answer 37

1000NM

Question 38

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?

Answer 38

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)