SACE Stage 2 General Mathematics Topics 3 to 5: exam-style practice quiz

distance is the independent variable and cost is the dependent variable

cost is the independent variable and distance is the dependent variable

both are dependent variables because each one affects the other

neither can be a variable because both are measured in numbers

It will weaken r, because r is based on the spread of all the points

It may strengthen r, but it needs a valid reason, such as a recording error

It has no effect on r, since r depends only on the other data points

It should be removed, because an unusual point must be a recording error

It shows that every apartment in the data set costs at least $85 000 to buy

It shows that price rises by $85 000 for every extra square metre of floor area

It predicts $85 000 for zero floor area, an extrapolation with no practical meaning

It shows that the correlation between floor area and price is equal to 0.85

The value falls by 15 percent each year, from an initial $500 000

The value falls by 85 percent each year, from an initial $500 000

The value falls by $85 000 each year, from an initial $500 000

The value falls by 15 percent each year, from an initial $425 000

Her Chemistry result is relatively better, because 72 is higher than 64

Her Chemistry result is relatively better, because its z-score of 1.2 exceeds 1.5

The two results are equally good, because both are above their test means

Her Biology result is relatively better, because its z-score of 1.5 exceeds 1.2

68 percent

99.7 percent

95 percent

47.5 percent

To reduce the interest rate that the bank charges on the interest-only loan

To accumulate enough money to repay the loan principal when the loan ends

To pay the monthly interest on the loan instead of paying it from income

To reduce the loan principal a little every month over the whole term

The loan takes longer to repay but the interest rate falls

The total interest paid stays the same but the term is shorter

The loan balance is unchanged until the final repayment

The loan is repaid sooner and less interest is paid overall

$190 311.94

$240 000.00

$307 263.92

$150 000.00

A, D, E with a minimum completion time of 11 days

B, D, E with a minimum completion time of 13 days

A, B, C, D, E with a completion time of 20 days

B, C, E with a minimum completion time of 15 days

Task E has two predecessors, and every task needs exactly one

Task D depends on both A and B, while task C depends on B only

Task A has no predecessor, so it needs an extra starting arrow

The dummy link adds a day to allow for delays between tasks

Apply the usual minimising steps directly to the profit table as it is

Make every entry negative and then add the largest entry to each row

Subtract every entry from the largest entry in the table, then minimise the result

Divide every entry by the largest entry in the table, then minimise