What variable is represented on the y-axis of a probability histogram?
Probability as either a percentage or a decimal.
100
Write the conversions between degrees, minutes and seconds.
1 degree = 60 minutes, 1 minute = 60 seconds
100
What does 1 minute of travel along a neridian equal?
1 minute = 1 nm
100
What does 1 minute of travel along a parallel equal?
1 minute = cos Q nm (where Q is the angle of latitude)
200
Use a grid to find the sample space for tossing two coins.
HH, HT, TH, TT
200
When constructing a histogram, what must you do with the probabilities for combined categories (grouped data)?
You must divide the total probability by the group width.
200
Explain, mathematically how you get a backbearing from a bearing.
If bearing > 180 degrees, subtract 180 degrees.
If bearing < 180 degrees, add 180 degrees.
200
Work out the distance travelled in nautical miles when a plane flies along a meridian through 2° of latitude.
120 n.m.
200
Work out the distance in nautical miles for travel along the parallel of latitude at 34°N through 5°12′ of longitude.
259 n.m.
300
A coin is tossed three times. List the sample space and find the probability of getting exactly 2 heads (in any order).
HHH, HHT, HTH, HTT. THH, THT, TTH, TTT
Probability is 3/8 (0.375 or 37.5%)
300
The following histogram shows the probability distribution of the masses of Year 12 students. Use the histogram to find the probability of students having a mass of 70–69 kg
0.25 or 25%
300
In 2001, the bearing of a hill from a trig point was
297°12′M. The annual change in magnetic variation is
08′ westerly. What is the magnetic bearing of the hill in 2010?
298°24′M
300
Work out the distance travelled in kilometres when a ship sail along a meridian through 11°44′ of latitude.
1304 km
300
Work out the distance in kilometres for travel through 5°22′ of longitude at latitude 58°N
316 km
400
A pair of fair 6-sided dice are rolled. Find the probability that the total of the two numbers on the uppermost faces of the dice is greater than 4.
0.8333, 5/6, 83.33%
400
In a school with 240 OP-eligible Year 12 students, how many would you expect to get an OP score from 5 to 9 inclusive?
About 51 students (21.2%)
400
The diagram shows the grid declination for a particular
area. What are the grid and magnetic bearings in 2015 for the true bearings 235°46′ ?
236°10′G, 231°14′M
400
A balloon is carried directly north from (32°12′S, 128°E) to (29°45′S, 128°E). How far has it travelled in nautical miles and kilometres?
147 n.m. and 272 km
400
A liner travelled from (20°S, 162°12'E) to (20°S, 166°35'E). How far did it travel in nautical miles and kilometres?
247.14 n.m. and 457.70 km
500
Assuming that male and female births are equally likely, draw a tree diagram and find the probability of
a family with 4 children having exactly 3 girls in any order.
3/16, 0.1875. 18.75%
500
The probability histogram at right shows the
masses of babies born in a local maternity
hospital over a 2-year period. From the next 150 babies born, how many would you expect to be more than 3 kg?
Approximately 91
500
The grid declination diagram for a map is shown.
The grid bearings of 342°28' was found using the map. Work out the true bearings and magnetic bearings in 2023.
344°41′T, 336°04′M
500
An aircraft travelling at 600 km/h flies due south from the position (57°N, 23°E). After 6 hours’ flying, how far has it travelled in kilometres and nautical miles and what is its new position?
3600 km, 1944 n.m. and (24°36′N, 23°E)
500
A sailboat travels 21°30′ of longitude at latitude 75°S at an average speed of 20 knots to reach it's destination. How long (in hours and minutes) doe the journey take?