Mental Math

Question 1

Time to travel 1 C at Speed of 3 Kts

Answer 1

120 seconds

Question 2

Time to travel 1 C at Speed of 5 Kts

Answer 2

72 seconds

Question 3

Time to travel 1 C at Speed of 6 Kts

Answer 3

60 seconds

Question 4

Time to travel 1 C at Speed of 7 kts

Answer 4

51 seconds

Question 5

Time to travel 1 C at Speed of 8 Kts

Answer 5

45 seconds

Question 6

Time to travel 1 C at Speed of 9 Kts

Answer 6

40 seconds

Question 7

Time to travel 1 C at Speed of 10 Kts

Answer 7

36 seconds

Question 8

Time to travel 1 C at Speed of 11 Kts

Answer 8

33 seconds

Question 9

Time to travel 1 C at Speed of 12 Kts

Answer 9

30 seconds

Question 10

Time to travel 1C at Speed of 13 Kts

Answer 10

28 seconds

Question 11

Time to travel 1 C at Speed of 14 Kts

Answer 11

26 seconds

Question 12

Time to travel 1 C at Speed of 15 Kts

Answer 12

24 seconds

Question 13

Time to travel 1 C at Speed of 18 Kts

Answer 13

20 seconds

Question 14

Time to travel 1 C at Speed of 20 Kts

Answer 14

18 seconds

Question 15

Time to travel 1 NM at Speed of 3 Kts

Answer 15

20 minutes

Question 16

Time to travel 1 NM at Speed of 4 Kts

Answer 16

15 minutes

Question 17

Time to travel 1 NM at Speed of 5 Kts

Answer 17

12 minutes

Question 18

Time to travel 1 NM at Speed of 6 Kts

Answer 18

10 minutes

Question 19

Time to travel 1 NM at Speed of 7 Kts

Answer 19

8.5 minutes

Question 20

Time to travel 1 NM at Speed of 8 Kts

Answer 20

7.5 minutes

Question 21

Time to travel 1 NM at Speed of 9 Kts

Answer 21

6.67 minutes

Question 22

Time to travel 1 NM at Speed of 10 Kts

Answer 22

6 minutes

Question 23

Time to travel 1 NM at Speed of 11 Kts

Answer 23

5.5 minutes

Question 24

Time to travel 1 NM at Speed of 12 Kts

Answer 24

5 minutes

Question 25

Time to travel 1 NM at Speed of 15 Kts

Answer 25

4 minutes

Question 26

Time to travel 1 NM at Speed of 18 Kts

Answer 26

3.33 minutes

Question 27

Time to travel 1 NM at Speed of 20 Kts

Answer 27

3 minutes

Question 28

Answer 28

SIN(θ) = CPA / DIST

= 1 C / 10 C = 1/10

(6) = 1/10

Steer in/out 6 Degrees

Question 29

Answer 29

SIN(θ) = CPA / DIST

= 2 C / 10 C = 1/5

(12) = 1/5

Steer in/out 12 Degrees

Question 30

Answer 30

SIN(θ) = CPA / DIST

= 5 C / 10 C = 1/2

(30) = 1/2

Steer in/out 30 Degrees

Question 31

Answer 31

SIN(θ) = CPA / DIST

= 1 C / 20 C = 1/20

(3) = 1/20

Steer in/out 3 Degrees

Question 32

Answer 32

SIN(θ) = CPA / DIST

= 2 C / 20 C = 1/10

(6) = 1/10

Steer in/out 6 Degrees

Question 33

Answer 33

SIN(θ) = CPA / DIST

= 5 C / 20 C = 1/4

(15) = 1/4

Steer in/out 15 Degrees

Question 34

Answer 34

SIN(θ) = CPA / DIST

= 1 NM / 2 NM = 1/2

(30) = 1/2

Steer in/out 30 Degrees

Question 35

Answer 35

SIN(θ) = CPA / DIST

= 1 C / 30 C = 1/30

(2) = 1/30

Steer in/out 2 Degrees

Question 36

Answer 36

SIN(θ) = CPA / DIST

= 2 C / 30 C = 1/15

(4) = 1/15

Steer in/out 4 Degrees

Question 37

Answer 37

SIN(θ) = CPA / DIST

= 5 C / 30 C = 1/6

(10) = 1/6

Steer in/out 10 Degrees

Question 38

Answer 38

SIN(θ) = CPA / DIST

= 1 NM / 3 NM = 1/3

(20) = 1/3

Steer in/out 20 Degrees

Question 39

Answer 39

SIN(θ) = CPA / DIST

= 2 C / 40 C = 1/20

(3) = 1/20

Steer in/out 3 Degrees

Question 40

Answer 40

SIN(θ) = CPA / DIST

= 5 C / 40 C = 1/8

(8) = 1/8

Steer in/out 8 Degrees

Question 41

Answer 41

SIN(θ) = CPA / DIST

= 1 NM / 4 NM = 1/4

(15) = 1/4

Steer in/out 15 Degrees

Question 42

Answer 42

SIN(θ) = CPA / DIST

= 2 NM / 4 NM = 1/2

(30) = 1/2

Steer in/out 30 Degrees

Question 43

Answer 43

SIN(θ) = CPA / DIST

= 5 C / 50 C = 1/10

(6) = 1/10

Steer in/out 6 Degrees

Question 44

Answer 44

SIN(θ) = CPA / DIST

= 1 NM / 5 NM = 1/5

(12) = 1/5

Steer in/out 12 Degrees

Question 45

Answer 45

SIN(θ) = CPA / DIST

= 2 NM / 5 NM = 2/5 = 0.4 (1/2.5)

SIN(20) = 1/3 SIN(θ) = 1/2.5 SIN(30) = 1/2

(25) = 1/2.5

Steer in/out 25 Degrees

Question 46

Leadmark bears 3° high at 1 NM

Answer 46

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) / 3

= 3° x 1 / 3

= 3 / 3 = 1

Port of Track (SM would be Starboard of Track)

100 Yards

Question 47

Leadmark bears 10 degrees high at 2.5 NM

Answer 47

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) /

= 10° x 2.5 / 3

= 25 / 3 = 8.1

Port of Track (SM would be Starboard of track)

810 Yards

Question 48

Leadmark bears 5 degrees high at 2 NM

Answer 48

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) /

= 5° x 2 / 3

= 10 / 3 = 3.3

Port of Track (SM would be Starboard of track)

330 Yards

Question 49

Leadmark bears 10 degrees low at 3 NM

Answer 49

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) / 3

= 8° x 3 / 3

= 24 / 3 = 8

Starboard of Track (SM would be Port of track)

800 Yards

Question 50

Leadmark bears 4 degrees low at 4 NM

Answer 50

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) / 3

= 4° x 4 / 3

= 16 / 3 = 5.3

Starboard of Track (SM would be Port of track)

530 Yards

Question 51

Leadmark bears 7 degrees high at 2 NM

Answer 51

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) / 3

= 7° x 2 / 3

= 14 / 3 = 4.6

Port of Track (SM would be Starboard of track)

460 Yards

Question 52

Leadmark bears 6 degrees low at 3 NM

Answer 52

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) / 3

= 6° x 3 / 3

= 18 / 3 = 6

Port of Track (SM would be Starboard of track)

600 Yards

Question 53

Leadmark bears 2 degrees low at 3 NM

Answer 53

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) / 3

= 2° x 3 / 3

= 6 / 3 = 2

Starboard of Track (SM would be Port of track)

200 Yards

Question 54

Leadmark bears 5 degrees high at 3 NM

Answer 54

Lateral separation(Hundreds of Yards) = Angle off x Range(NM) / 3

= 5° x 3 / 3

= 15 / 3 = 5

Port of Track (SM would be Starboard of track)

500 Yards