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Measurement, Networks and Statistical Analysis: HSC Mathematics Standard 1 multiple-choice practice quiz

13 questions. Pick an answer and you'll see why right away. Options are shuffled each attempt, and the review at the end links each missed question to the dot point to revise.

  1. A cyclist travels at 36 km/h. What is this speed in metres per second?

  2. A car uses 42 L of fuel to travel 600 km. What is its fuel consumption in L/100 km?

  3. A 2000 W heater runs for 3 hours. Electricity costs 30 cents per kilowatt-hour. What is the cost of running the heater?

  4. Using maximum heart rate =220−age= 220 - \text{age}, what is the target heart rate at 70% of maximum for a 40-year-old?

  5. From a point 50 m from the base of a vertical tower, the angle of elevation to the top is 32°. Which expression gives the height of the tower?

  6. A ship sails on a compass bearing of S40°E. What is this direction as a true bearing?

  7. A building plan has a scale of 1:100. A wall measures 45 mm on the plan. What is its actual length?

  8. Using one application of the trapezoidal rule, estimate the area of a strip of land 20 m wide whose two parallel boundary measurements are 12 m and 18 m.

  9. A minimum spanning tree connects all 8 vertices of a network. How many edges does it have?

  10. What is the first step of Kruskal's algorithm for finding a minimum spanning tree?

  11. Which statement about the shortest path between two vertices in a weighted network is always true?

  12. A line of fit was drawn for data on study time between 2 and 10 hours. Using it to predict the test score for 25 hours of study is an example of:

  13. Which survey question is least likely to introduce bias?

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