12 GEN MAT QLD 2022 MC

The float time, in minutes, for the non-critical activity of this project network is

• 20

• 20

• 23

• 30

The total number of vertices in this graph is

• 3

• 5

• 6

• 7

The table shows the minimum and maximum temperatures on January 1 each year in Bundaberg.

Which time series plot best represents the mean temperatures?

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A swimmer has a weekly training routine to improve their fitness as modelled by the recursive function T_{n + 1} = T_n + 2, where T_n is the number of laps they swim in week n and T₁ = 4. Which graph best represents the swimmer’s routine?

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The table lists the number of books sold per month by an online bookstore. If the simple 3-point moving average in October is 54, what is the simple 3-point moving average in May?

• 69

• 73

• 74

• 89

This semi-Eulerian graph can be changed to an Eulerian graph by

• adding a loop to vertex B.

• removing the loop at vertex A.

• adding an edge between vertices A and D.

• removing the edge between vertices B and C.

This matrix was obtained after applying the Hungarian algorithm to determine the optimal allocation of three people, Elandra (E), Farid (F) and Grace (G), to three tasks: legal (L), monitoring (M) and verification (V).

The optimal allocation is:

• E to V, F to M and G to L.

• E to V, F to L and G to M.

• E to M, F to L and G to V.

• E to M, F to V and G to L.

The scatterplot shows the annual number of visitors to the Great Barrier Reef Marine Park.

For 2018, the annual number of visitors could best be

• interpolated as 2.7 million.

• extrapolated as 2.7 million.

• interpolated as 3.2 million.

• extrapolated as 3.2 million.

Identify the graph that is a spanning tree.

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Which example states an explanatory variable followed by a response variable?

• car manufacturers and car colours

• dog breeds and frequency of names

• plant growth and amount of fertiliser used

• daily temperatures and daily ice cream sales