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Write 2 equations to represent this scenario (you do not need to solve):
Tickets for a movie cost $19.50 for adults and $14.50 for children.
Two hundred tickets were sold, giving a total of $3265.
19.50a + 14.50C = 3265
a +c = 200
The hypotenuse of a triangle is 65 with an angle of 38 degrees.
Determine the value of the opposite side.
40.02
3 x 2
Classify the following as nominal, ordinal, discrete or continuous:
a) The number of students in 11MTG are counted
b) Uber ratings out of 5 stars
c) Students select their favourite colour from a list
b) 100m sprint results are recorded in seconds
a) discrete
b) Ordinal
c) nominal
d) Continuous
State the true bearing of a direction that is 10 degrees further than West (towards north)
280 degrees
Solve the pair of simultaneous equations using elimination:
2x + 3y =19
3x - 3y = 6
x= 5
y= 3
Use Heron's rule to calculate the area of a triangle with side lengths: 6, 9 and 11m
27m2
Road B connects to A (once) and C (twice)
Road C connects to C (twice)
Use a matrix to represent these connections. (List the roads in alphabetical order)
A B C
A 0 1 0
B 1 0 2
C 0 2 0
Median
Consider the data set:
48 96 24 87 48 63 32 74 33 47 95
Calculate the mean and standard deviation using a calculator.
mean = 58.82
standard deviation = 24.69
From the top of a cliff 61m above sea level, Chen saw a yacht.
The angle of depression from Chen to the yacht is 10 degrees.
Calculate how far the yacht is from the base of the cliff.
345.95m
10.61cm2
Calculate 3A if:
5 1
A= -3 0
15 3
3A= -9 0
What component can be used to represent the variability of data?
hint: if data is more variable it tends to be more spread out
Range
Triangle ABC has side lengths 4, 5 and 6.
Use Cosine rule to determine the largest angle (opposite the longest side)
82.8 degrees
Solve the pair of simultaneous equations:
x+y=3
2x-y=9
x=4
y=-1
The opposite side of a triangle is 19 and the hypotenuse is 42.
Calculate the value of the angle.
26.9
If you are asked to interpret information given in C13 what column and row would the data lie in?
Row 1
Column 3
In a boxplot, if the IQR sits on the left-hand side of the plot, would the data be described as positively or negatively skewed?
Positively skewed
2 4
A= 5 1
9 8
B= 9 -1
Calculate A + B
11 12
A+B = 14 0
A regular hexagon with sides 10m long can be divided into 6 equilateral triangles.
Calculate the area of the hexagon.
259.81m2
Use the sine rule to calculate angle B using the information below:
A= 120
a = 7
B=?
b=6
47.9
Calculate A2 if:
3 0
A= 2 1
9 0
A2 = 8 1
List 3 ways you could describe the shape of a data set.
Positively skewed
Negatively skewed
symmetrical/ approximately symmetrical
A group of bush walkers leave point P which is on a road that runs north-south.
They walk for 30km on a bearing of 20 degrees to reach point Q.
Determine the shortest distance from Q back to the road.
10.3km