Masterclass Multiple Choice 1 (QATS 2023)

Dallas is a city in Texas and is 5 hours behind Greenwich Mean Time. The longitude of Dallas would be closest to:

• 45°E

• 45°W

• 75°E

• 75°W

Answer explanation

The timezone difference between Greenwich and a given location helps to determine the longitude. Since Dallas is 5 hours behind Greenwich, it's in the western hemisphere. The longitude is approximately 15 degrees per hour, so 5 hours corresponds to 75 degrees. Therefore, Dallas is approximately 75°W.

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Unit 3 - Topic 4

Macapa, Brazil is located at (0°, 51°W) and Quito, Ecuador is located at (0°, 78°W). The shortest distance, in kilometres, between the cities is closest to:

• 624

• 1889

• 3000

• 14345

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Unit 3 - Topic 4

Kazuo invests $6200 for 3 years, with a 6% p.a. interest rate, compounding monthly. The interest Kazuo earns in 3 years is closest to:

• $7420

• $7380

• $1220

• $1180

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Unit 4 - Topic 1

The Bank of Austen is offering an account that is compounding weekly at 3.25% p.a. The effective interest rate is closest to:

• 3.276%

• 3.299%

• 3.302%

• 3.303%

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Unit 4 - Topic 1

The association in the graph is best described as:

• positive, linear

• negative, linear

• negative, non-linear

• there is no association

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Unit 3 - Topic 1

A prediction for the temperature if 300 pies were sold would be closest to:

• 10°C

• 20°C

• 30°C

• 40°C

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Unit 3 - Topic 1

The equation of the trend line is closest to:

• Number of pies = -15 × temperature + 600

• Number of pies = -15 × temperature + 400

• Number of pies = 15 × temperature + 600

• Number of pies = 15 × temperature + 400

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Unit 3 - Topic 1

The seasonal index for April is closest to:

• 0.4

• 2.4

• 2.8

• 4.9

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Unit 3 - Topic 2

The three-point moving mean for September is closest to:

• 21

• 24

• 81

• 119

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Unit 3 - Topic 2

The value of the common ratio r is:

• -160

• 1600

• 1.11

• 0.9

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Unit 3 - Topic 3