HSC MATHEMATICS STANDARD 2
REVISION QUESTIONS AND ANSWERS
WITH SOLUTIONS 2024
Sine Rule - ANSWER
Cosine Rule - ANSWER
Future Value - ANSWER the amount of money in the future that an amount of money today will yield,
given prevailing interest rates
Trapezoidal rule - ANSWER
Limit of reading - ANSWER smallest unit on the measuring instrument also known as precision.
Absolute error - ANSWER ½ × limit of reading (maximum value)
Interquartile Range (IQR) - ANSWER the difference between the first quartile and third quartile. Q3 - Q1
standard deviation - ANSWER a measure of the spread of data about the mean.
Outlier - ANSWER a score that is separated from the majority of the data. Has little effect on the mean,
median and mode for large sets of data.
QL - 1.5 x IQR
QU - 1.5 x IQR
Unimodal - ANSWER Data has only 1 mode or peak.
Bimodal - ANSWER Data has 2 modes or peaks.
, Multimodal - ANSWER Data has many modes or peaks.
Box-and-whisker plot - ANSWER A graph that uses five-number summary - lower extreme, lower quartile,
median, upper quartile and the higher extreme.
Radar chart - ANSWER looks like a spider web and is used to compare the performance of one or more
entities.
Area chart - ANSWER A graph consisting of different 'areas' each representing a data set over a period of
time. The thickness of the area indicates the size of the data.
Compass bearing - ANSWER A direction given by stating the angle either side of north or south. For
example, a compass bearing of N52ºE is found by measuring an angle of 52º from the north direction
towards the east side.
True bearing - ANSWER A direction given by measuring the angle clockwise from north. For example,
120ºT is the direction measured 120º clockwise from north. It is the same bearing as S60ºE.
Radial survey - ANSWER involves measuring the angles and sides taken from a central point.
Z-score formula - ANSWER z=(x-mean)/standard deviation
Probability - ANSWER chance of something happening. P(E) = n(E)/n(S)
Expected outcome - ANSWER the number of times the outcome should occur. It may not be a whole
number.
P(E) x Number of trials
Arc length formula - ANSWER length = theta/360 x 2 x pi x r
Linear equation - ANSWER y=mx+b
REVISION QUESTIONS AND ANSWERS
WITH SOLUTIONS 2024
Sine Rule - ANSWER
Cosine Rule - ANSWER
Future Value - ANSWER the amount of money in the future that an amount of money today will yield,
given prevailing interest rates
Trapezoidal rule - ANSWER
Limit of reading - ANSWER smallest unit on the measuring instrument also known as precision.
Absolute error - ANSWER ½ × limit of reading (maximum value)
Interquartile Range (IQR) - ANSWER the difference between the first quartile and third quartile. Q3 - Q1
standard deviation - ANSWER a measure of the spread of data about the mean.
Outlier - ANSWER a score that is separated from the majority of the data. Has little effect on the mean,
median and mode for large sets of data.
QL - 1.5 x IQR
QU - 1.5 x IQR
Unimodal - ANSWER Data has only 1 mode or peak.
Bimodal - ANSWER Data has 2 modes or peaks.
, Multimodal - ANSWER Data has many modes or peaks.
Box-and-whisker plot - ANSWER A graph that uses five-number summary - lower extreme, lower quartile,
median, upper quartile and the higher extreme.
Radar chart - ANSWER looks like a spider web and is used to compare the performance of one or more
entities.
Area chart - ANSWER A graph consisting of different 'areas' each representing a data set over a period of
time. The thickness of the area indicates the size of the data.
Compass bearing - ANSWER A direction given by stating the angle either side of north or south. For
example, a compass bearing of N52ºE is found by measuring an angle of 52º from the north direction
towards the east side.
True bearing - ANSWER A direction given by measuring the angle clockwise from north. For example,
120ºT is the direction measured 120º clockwise from north. It is the same bearing as S60ºE.
Radial survey - ANSWER involves measuring the angles and sides taken from a central point.
Z-score formula - ANSWER z=(x-mean)/standard deviation
Probability - ANSWER chance of something happening. P(E) = n(E)/n(S)
Expected outcome - ANSWER the number of times the outcome should occur. It may not be a whole
number.
P(E) x Number of trials
Arc length formula - ANSWER length = theta/360 x 2 x pi x r
Linear equation - ANSWER y=mx+b
