SACE Stage 2 General Mathematics: mixed exam-style practice quiz

For a sample of used cars, the correlation between age (years) and price (dollars) is r = -0.7. Which statement about the coefficient of determination is correct?

A linear model fitted to bivariate data has r = 0.93, but its residual plot shows a clear curved pattern. According to the SACE approach, the best next step is to:

The number of subscribers to a streaming service is modelled by $y = 80 \times 1.12^x$ (thousands), where $x$ is months since launch. The value 1.12 means that:

Test scores are approximately normal with mean 60 and standard deviation 8. Using the 68-95-99.7 rule, the percentage of students scoring above 76 is about:

Marks in a statewide test are normally distributed with mean 65 and standard deviation 10. The mark needed to be in the top 10 percent is closest to:

Which investment gives the better return over a year: account P at 6.0 percent per annum compounded monthly, or account Q at 6.1 percent per annum compounded annually?

Priya deposits $100 at the end of each month for 3 years into an account paying 3.6 percent per annum, compounded monthly. The future value is closest to:

A home loan of $250 000 at 5.4 percent per annum, compounded monthly, is repaid by equal monthly repayments over 25 years. The monthly repayment is closest to:

An investor takes out an interest-only loan of $300 000 at 5.2 percent per annum with monthly payments. The monthly payment is:

With inflation of 3 percent per year, the purchasing power in today's dollars of $10 000 received in 8 years' time is closest to:

In a project network, a task takes 5 days, has an earliest starting time of 4 days and a latest completion time of 15 days. Its slack time is:

Six swimmers are available for the four legs of a medley relay, and their times for each stroke are in a 6 by 4 table. Before applying the Hungarian algorithm you should: