QCAA 2023 General Mathematics - External Multiple choice

A linear association with a correlation coefficient of 0.23 is best described as

• (A) weak positive.

• (B) weak negative.

• (C) strong positive.

• (D) strong negative.

A time series plot is shown.

• (A) cyclical.

• (B) seasonal.

• (C) irregular.

• (D) increasing.

The duration, in minutes, of all activities in a project are shown. The critical path for the project is PRSV.

What is the earliest completion time for the project if it starts at 11:00 am?

• 12:30 pm

• 1:10 pm

• 1:30 pm

• 2:10 pm

Athletes were surveyed about their preferred shoe brand: X, Y or Z. The results are shown in the frequency table. The percentage of field athletes who prefer brand Y is

• 12%

• 15%

• 30%

• 40%

A scatterplot is created to identify the nature of the relationship between two variables: vehicle age and distance travelled. Which statement is correct?

• The vertical axis should show vehicle age as the response variable.

• The horizontal axis should show vehicle age as the explanatory variable.

• The horizontal axis should show distance travelled as the response variable.

• The vertical axis should show distance travelled as the explanatory variable.

In January 2022, 40 fish were released into a new dam that has the capacity to support 10,000 fish. It is predicted that the dam will reach its capacity in January 2030 if the fish population doubles every year. Which sequence rule models the prediction?

Which statement is always true for a causal relationship between an explanatory variable and a response variable?

• One of the variables is a confounding variable.

• The relationship is explained by a third variable.

• There is a positive association between the variables.

• The response variable is dependent on the explanatory variable.

Activities P and Q are the critical activities for a project. What are the earliest starting time (EST) and latest starting time (LST) for Activity Q?

• (A) 3, 3

• (B) 3, 6

• (C) 6, 6

• (D) 6, 9

Determine the 6th term of the arithmetic sequence that begins 3, 9, …

• (A) 21

• (B) 33

• (C) 45

• (D) 729

• 122, 0.8

• 122, 3.2

• 152, 0.8

• 152, 3.2