Finance
What is the term for interest calculated only on the original principal (not on any interest already earned)?
Simple interest
What name is given to data that is collected and plotted in time order?
Time series data
What do we call a vertex where an odd number of edges meet?
An odd vertex
What do we call the line that best models a linear relationship between two variables?
The line of best fit (regression line)
What is the smallest country in the world?
Vatican City
In the compound interest formula A = P(1 + r)ⁿ, what does r represent?
The interest rate per compounding period, as a decimal
What is the purpose of calculating a moving average?
To smooth out short-term fluctuations and reveal the underlying trend
What does the "weight" of an edge in a network usually represent? Give 3 possible representations for full marks.
A cost, distance, time, or capacity
What symbol do we use for the correlation coefficient?
Answer: r
How many bones are in the adult human body?
Answer: 206
What do we call the equivalent single yearly rate that accounts for interest compounding more than once a year?
The effective annual interest rate
State the formula for a seasonal index, in terms of the actual figure and the deseasonalised figure.
Seasonal index = actual figure ÷ deseasonalised figure
What do we call a connected graph that has no cycles, used to connect all vertices at minimum total cost?
A (minimum spanning) tree
In an arithmetic sequence, what stays constant between consecutive terms?
The common difference, d
In which country would you find the ancient city of Petra?
Jordan
In a reducing balance loan recurrence Vₙ = 1.005 × Vₙ₋₁ − 400, what does the 400 represent?
The regular repayment amount
A seasonal index of 0.75 tells us what about that period compared to the yearly average?
It is 25% below the yearly average
Define what is meant by the "float" of an activity in a project network.
The amount of time an activity can be delayed without delaying the overall project's completion
In a geometric sequence Tₙ = Tₙ₋₁ × r, what does it mean about the sequence if 0 < r < 1?
The sequence is decaying, each term is smaller than the one before it
In what year did the Titanic sink?
1912
What is the key difference between an annuity and a perpetuity?
An annuity pays out over a fixed, limited time until the balance reaches zero; a perpetuity pays out forever because the balance never reduces
Give one reason why a 4-point moving average (unlike a 3-point or 5-point one) needs an extra "centring" step.
Averaging an even number of points gives a value sitting between two time periods, so a second averaging step is needed to centre it back onto an actual period
According to the max-flow min-cut theorem, what does the maximum flow through a network equal?
The capacity of the minimum cut
A geometric sequence has T₂ = 18 and T₃ = 27. Find the common ratio, r, and the first term, T₁.
r = 1.5, T₁ = 12
What is the only mammal capable of true flight?
The bat