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The diagram shows the dimensions of a rectangular prism.

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\n

The prism has a capacity of 76.5 litres.

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What is the height (h) of the prism?

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Theo rolls a standard die and selects a marble from a bag that contains four equal-sized marbles. Each marble is labelled with a number: 1, 2, 3 or 4.

\n

What is the probability that at least the die or the marble shows the number 1?

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The length of a bridge was measured to be 212.4 metres, correct to the nearest 10 cm.

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What is the percentage error of this measurement, correct to two significant figures?

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The box-plots represent the number of hours that:

\n\n

\n
\n
The same number of students from both schools spent 20 –30 hours learning to drive.
\n
How many students do the box-plots represent in total?
\n
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Hugh and Louis work as sales representatives for the same company. Hugh earns $300 per week plus 3.5% commission on sales. Louis earns 5% commission on sales only.

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What value of sales would Hugh and Louis each need to achieve to earn the same amount?

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Thomas invests $9000 in a bank account that earns 0.5% simple interest per month.

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Which of the following expressions represents the amount of interest that Thomas’ account will have earned after four years?

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Andrea, aged 38, starts having cold and flu symptoms. Her doctor recommends that she take a cold and flu medicine. Andrea consumes the adult dosage three times a day over a 24-hour period as recommended. During that period, she consumes 75 mL of medicine.

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The dosage for children aged 1–2 years old is given by Fried’s formula.

\n

\\[ \\text{dosage for children 1-2 years} = \\frac{ \\text{age of child (in months)} \\times \\text{adult dosage} }{150} \\]

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What is the recommended dosage of the cold and flu medicine for a child who is one-and-a-half years old?

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Which of the following symbols represents population mean?

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Which of the following could represent the graph of $y= 3x+ 2$?

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The coordinates of the city of New York are approximately (40°N, 75°W). The coordinates of Nicosia are approximately (35°N, 30°E).

\n

What is the local time in Nicosia if it is 7:00 am in New York?

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Jo purchased a car for \\$75 000. The value of the car depreciates \\$5000 per year. The current salvage value of the car is \\$60000.When did Jo purchase the car?

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Rian pays $30 including goods and services tax (GST) for a haircut. What amount of GST does Rian pay?

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A container holds 10 discs. Four discs are red, two are yellow and the remainder are blue. What is the probability of selecting a blue disc from the container?

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You have not attempted this question.

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Your time is up.

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