1Josie earns $855.40 for a working week consisting of 38 normal hours and 5 hours of overtime paid at time-and-a-half. Calculate her normal hourly rate of pay.
2A circular fountain has a diameter of 20 metres and a uniform depth of 90 cm. Calculate the capacity of the fountain to the nearest litre (1 m³ = 1000 L).
3Using the future value table provided in the text, Malcolm deposits $3600 into an account every 6 months for 3 years. The interest rate is 5% p.a. compounded semi-annually. Calculate the total interest earned over the 3-year period.
4A batch of rice packets follows a normal distribution with a mean of 500g and a standard deviation of 2g. Which of the following statements are correct regarding this distribution?
5Solve the following simultaneous equations for x and y: 6x - 2y = 6 and 5x + 4y = 22. Provide your answer as 'x=value, y=value'.
6A dam has a total width of 48m. Using four applications of the trapezoidal rule with parallel measurements (widths) of 0m, 22m, 27m, 21m, and 0m, calculate the volume of water if the dam has a consistent depth of 3 metres.
7Using the stem-and-leaf plot for January (Data: 03, 14, 16, 17, 19, 20, 21, 25, 26, 29), identify the correct statistical measures.
8Using Young's Rule, if the adult dose of a medicine is 35 mg and the recommended dose for a child is 5 mg, what is the age of the child in years?
9In a raffle with 200 tickets, Dan buys 1 ticket and Frank buys 2 tickets. What is the probability that Dan wins the first prize and Frank wins the second prize?
10An L-shaped roof has a top-view area that collects rainfall. If the average rainfall is 86.4 mm and the roof area is 120 m², how many litres of water are collected if 12% of the water is wasted?
