Time and place
Bivariate Data
Financial
Networks
Arithmetic and geometric sequences
100
Which is measured from the equator - longitude or latitude
Latitude
100
A study of primary school children aged 5 to 11 years finds a strong positive correlation between height and score on a test of mathematics ability. The study concludes that taller people are better at mathematics. Is the conclusion valid? Give a reason for your answer
No
Valid reason
100
The value of a car bought for $45000, has travelled 25000km and is depreciating at a rate of 0.15c per kilometre.
$41 250
100
What is degree?
This is defined as the number of edges that comes out of each vertex in an undirected graph.
100
The first term of an arithmetic sequence is a = 6 and the common difference is d = 2.
Determine the value of the 11th term
26
200
Considering global time - how many degrees are there in one hour?
15
200
Which axis does the explanatory variable lie on?
x - axis
200
The amount of interest paid if $1000 has been invested for 2 years at 10% simple interest.
$200?
200
The number of vertices if a planar graph contains 5 faces and 12 edges is this.
9
200
A new car was bought for $26 000 in 2014. The value of the car is expected to reduce by 4.5% of its original value every year. Write down the rule for the value of the car after n years.
A = 26 000 − 1170n
300
What is the difference between a great circle and a small circle?
Great circle has the radius of the Earth, a small circle has a radius smaller than that of the Earth
300
What letter represents Pearson's correlation coefficient?
r
300
The number of times an account is compounded if it is compounded every 3 months for 5 years.
20
300
How do you find how many edges are required in a tree?
edges - 1
300
In an arithmetic sequence, the fifth term is 10 and the ninth term is 18. Write down the first three terms of the sequence.
2,4,6
400
Determine the distance between (27.5S, 153E) and (10S, 153)
1946km
400
List 2 ways to represent data that has categorical and one numerical variable
Back-to-back stemplots
Boxplots
400
Determine the effective interest if the nominal rate of interest is 4%, compounding fortnightly (correct to 2dp).
4.08%
400
What is maximum flow?
This is found by finding the capacity of the minimum cut.
400
A geometric sequence is defined by
t1 = 5, tn+1 = 2tn.
Find the first five terms.
5, 10, 20, 40, 80
500
True or false
Meridians of latitude
Parallels of longitude
False
500
A recent study in a certain town found the correlation between a father’s education level and their child’s education level to be 0.4, whereas the correlation between a mother’s education level and that of their child was 0.3. Which of these variables has a stronger relationship with a child’s education level, father’s education level or mother’s education level? Explain your answer.
Fathers education level
500
The regular amount made per annum in a perpetuity if $45,000 is invested at 20% interest.
$9000
500
How do you know if an activity is on the critical path?
Has a float time of 0
500
A dish in a laboratory contains 150 000 bacteria. The population of bacteria is expected to double in size every day.
Using recursion, find the number of bacteria after 1, 2, 3 and 4 days.
300 000, 600 000, 1 200 000, 2 400 000