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Math 9 · Unit 15: Interpreting and discussing results · Cambridge Lower Secondary Maths Stage 9

15.5 Representing data

15 questions · e.g. Which diagram shows this best?

Practice

Questions

  1. 1. Kangaroos in Australia (millions): 2008, 25; 2010, 27; 2012, 34; 2014, 44; 2016, 45; 2018, 46. Which graph is best to show how the number changed over time?

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  2. 2. Kangaroos in Australia (millions): 2008, 25; 2010, 27; 2012, 34; 2014, 44; 2016, 45; 2018, 46. Between which two years did the number grow the most?

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  3. 3. Kangaroos in Australia (millions): 2008, 25; 2010, 27; 2012, 34; 2014, 44; 2016, 45; 2018, 46. By how much did the number grow from 2008 to 2018?

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  4. 4. Kangaroos in Australia (millions): 2008, 25; 2010, 27; 2012, 34; 2014, 44; 2016, 45; 2018, 46. By what percentage did the number grow from 2008 to 2018?

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  5. 5. In 2019 there were about two kangaroos for every person in Australia. With about 46 million kangaroos, roughly how many people lived in Australia?

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  6. 6. Tourist accommodation (%). Brisbane: budget 2, mid-scale 29, up-scale 59, luxury 10. Darwin: 8, 14, 70, 8. Melbourne: 5, 18, 60, 17. Perth: 3, 33, 50, 14. Sydney: 4, 20, 54, 22. Which city has the highest percentage of luxury accommodation?

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  7. 7. Tourist accommodation (%). Brisbane: budget 2, mid-scale 29, up-scale 59, luxury 10. Darwin: 8, 14, 70, 8. Melbourne: 5, 18, 60, 17. Perth: 3, 33, 50, 14. Sydney: 4, 20, 54, 22. Which city has the highest percentage of up-scale accommodation?

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  8. 8. Tourist accommodation (%). Brisbane: budget 2, mid-scale 29, up-scale 59, luxury 10. Darwin: 8, 14, 70, 8. Melbourne: 5, 18, 60, 17. Perth: 3, 33, 50, 14. Sydney: 4, 20, 54, 22. Which chart would best show how one city's accommodation is split?

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  9. 9. Tourist accommodation (%). Brisbane: budget 2, mid-scale 29, up-scale 59, luxury 10. Darwin: 8, 14, 70, 8. Melbourne: 5, 18, 60, 17. Perth: 3, 33, 50, 14. Sydney: 4, 20, 54, 22. Which chart would best compare the five cities' luxury and budget percentages side by side?

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  10. 10. Tourist accommodation (%). Brisbane: budget 2, mid-scale 29, up-scale 59, luxury 10. Darwin: 8, 14, 70, 8. Melbourne: 5, 18, 60, 17. Perth: 3, 33, 50, 14. Sydney: 4, 20, 54, 22. Check one city: do Perth's percentages add up to 100%?

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  11. 11. Tourist accommodation (%). Brisbane: budget 2, mid-scale 29, up-scale 59, luxury 10. Darwin: 8, 14, 70, 8. Melbourne: 5, 18, 60, 17. Perth: 3, 33, 50, 14. Sydney: 4, 20, 54, 22. Which city has the biggest share of budget accommodation?

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  12. 12. A kangaroo can jump further than 7 m. A long-jump record for people is about 9 m. Which comparison is correct?

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  13. 13. A kangaroo's top speed is over 65 km/h. How far could it travel in 30 minutes at that speed?

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  14. 14. What should you do before choosing a chart for a poster?

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  15. 15. Tourist accommodation (%). Brisbane: budget 2, mid-scale 29, up-scale 59, luxury 10. Darwin: 8, 14, 70, 8. Melbourne: 5, 18, 60, 17. Perth: 3, 33, 50, 14. Sydney: 4, 20, 54, 22. Brisbane's mid-scale share is 29% and Perth's is 33%. Which is true?

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