20783_Problem_solving_Year_6_Number_and_place_value_Using_units_of_measurement

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HOW MANY? 1. Around half a million people visit Uluru in the Northern Territory each year. Many of these visitors go on to visit the Olgas which has about 200 000 people visit it each year. During August 178 000 tourist visited Uluru while May had twice as many visitors as January but 6000 less than July. July had 9 000 more visitors than August. How many visitors were there in January? 2. Around 250 000 people visit the Pinnacles in Nambung National Park in Western Australia each year. Many people visit from August to October when the weather is cooler and the wildflowers are blooming. There were 1 half more visitors in 2008 than in 2004. There were 17 660 more visitors in 2008 than in 2007 and 36 180 less visitors in 2006 than 2007. 2005 and 2004 had similar numbers with only 5 790 more in 2005 than in 2004. If there were 152 980 visitors in 2005, how many were there in 2007? 3. Blue Mountains west of Sydney experienced declining visitor numbers for several years. An extensive advertising campaign has helped gain an increase in visitors and now about 2.6 million people visit the area each year. Both national and international visitor numbers have improved and 2008 saw an 18% increase in international visitors to the area. Many visitors attend the popular winter magic festival as well as the many other festivals and events held throughout the year. During May there were 196 590 visitors. November had 36 470 more visitors than September and October had 37 210 less than May. May had 10 270 less visitors than July and September had 12 400 less than July. July had 47 480 more visitors than October. How many visitors were there in November? R.I.C. Publications ® www.ricpublications.com.au Problem-solving in mathematics 43
HOW FAR? 1. Paula runs around a 400 m track on Mondays, Wednesdays and Fridays, and a 200 m track on Tuesday and Thursdays. She likes to pace herself and averages 100 m in about 50 seconds. She usually runs for an hour on Tuesdays and Thursdays and 40 minutes on the other days. Approximately how far does she run each week? 2. The Indian Pacific train travels from Sydney to Perth via Adelaide twice a week. The trip takes 65 hours and covers a distance of 4352 km one way. Along the way, the train crosses the Nullarbor Plain and has an average speed of 85 km/h. If the train leaves Sydney at 2:55 pm‚ how far will it have travelled after 13 hours? 3. Davis swims every morning and usually swims 100 m in about 2 minutes and 5 seconds. During the week, he swims at a 100 m pool near his work and on the weekends he swims in a 50 m pool near his house. He swims for about an hour each day. About how far does he swim each week? 4. Rielly and Rita drove from Kalgoorlie to Perth, a distance of 596 km. They left at 9:15 in the morning and had lunch at 12:30. They stopped for 40 minutes at morning tea and an hour and 15 minutes at lunch. They averaged 90 km per hour before lunch and 95 km per hour after lunch. How far had they driven by 3 o’clock in the afternoon? 5. Ranni trains each day for the triathlon. During the week she swims 2 km each morning and does a 4 km run on Tuesday and Thursday afternoons and a 5 km bike ride on Mondays, Wednesday and Friday afternoons. On the weekend she does a mini-triathlon where she does a 1 km swim, 2 km bike ride and a 3 km run. How far does she swim, run and cycle each month? 44 Problem-solving in mathematics www.ricpublications.com.au R.I.C. Publications ®
Page 1 and 2: Your partner in education YEAR 6 PR
Page 3 and 4: FOREWORD Books A-G of Problem-solvi
Page 5 and 6: FOREWORD diminished or left out of
Page 7: TEACHER NOTES Problem-solving To in
Page 11: SOLUTIONS Note: Many solutions are

20783_Problem_solving_Year_6_Number_and_place_value_Using_units_of_measurement

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