Masterclass Multiple Choice 2 (QATS 2021)

Six camp sites A, B, C, D, E, and F are connected by paths.

A graph of these connections, where paths are represented by edges and camp sites are represented by vertices, is shown:

If a camper was to travel along the route A-B-C-F-B-A, this would be described as a:

• walk.

• trail.

• path.

• cycle.

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Unit 4 - Topic 1

The following two-way table shows the number of people that do warm-up activities prior to exercising and the number of people who receive an injury during exercising. What percentage of people who do warm-up activities receive an injury?

• 3.1%

• 5.8%

• 30.1%

• 33.3%

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Unit 3 - Topic 2

The Standard Australian and New Zealand time zones are shown on the map. During summer, all Australian states and territories, except Western Australia (WA), Queensland (QLD) and the Northern Territory (NT), have daylight saving. New Zealand (NZ) also has daylight saving time during summer. Daylight saving time is 1 hour ahead of standard time. The 2016 Christchurch earthquake hit during the summer on 14 February 2016 at about 1:15 pm local time. What time would it have been in Western Australia and Victoria at the time the earthquake hit?

• 8:15 am in WA and 11:15 am in VIC

• 8:15 am in WA and 10:15 am in VIC

• 8:15 am in WA and 9:15 am in VIC

• 9:15 am in WA and 11:15 am in VIC

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Unit 3 - Topic 4

Calculate the shortest distance between A (30° N, 60°E) and B (20° S, 60°E) correct to the nearest kilometre.

• 1112 km

• 3336 km

• 5560 km

• 6672 km

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Unit 3 - Topic 4

The following scatterplot shows a linear association between share price and the day over a three-week period. Choose the best description and strength of the association.

• Strong, negative

• Strong, positive

• Weak, negative

• Weak, positive

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Unit 3 - Topic 1

Which of the following would suggest that a linear model is a good fit for the raw data?

• The residual values are large

• The residual plot appears to follow a curve

• Most of the raw data points lie on the same side of the line

• The residuals will be roughly balanced above and below zero with no obvious pattern

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Unit 3 - Topic 1

In an arithmetic sequence, the first term is 100 and the common difference is 4.

The 4th term in the sequence will be:

• 36

• 88

• 112

• 164

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Unit 3 - Topic 3

The value of an asset worth $12 000 depreciated by 14% in the first year, 10% in the second year and 8% in the third year. The value of the asset at the end of the third year is closest to:

• $13

• $3455

• $3840

• $8545

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Unit 3 - Topic 3

Sam wins $250 000 in a lottery and invests the amount in a perpetuity that pays 2.42% p.a. interest. The perpetuity pays regular monthly payments. Ignoring the effects of inflation, the value of the monthly payments rounded down to the nearest cent would be closest to:

• $86.09

• $504.17

• $605.50

• $1033.06

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Unit 4 - Topic 1

The number of people attending a gym are recorded weekly over a period of three months.

What is the best description for the trend in the data?

• Increasing only

• Decreasing only

• Seasonality and increasing

• Seasonality and decreasing

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Unit 3 - Topic 2