20783_Problem_solving_Year_6_Number_and_place_value_Using_units_of_measurement

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1. Jack’s deli sells 74 kg of fetta cheese and 42 kg of sun-dried tomatoes each month. He buys the fetta cheese in 10 kg containers for $96.50 and the sun-dried tomatoes in 3 kg tins for $37.00. He then re-packs the cheese into 250 g tubs that he sells for $4.50 each‚ and the tomatoes into 200 g tubs which he sells for $4.00 each. How much profit does he make each month on fetta cheese? HOW MUCH? 2. Mal pots tree seedlings for the local forestry group to plant for forest revegetation. He can be paid by the day or by the number of tree seedlings he pots. He can be paid $1.15 per seedling‚ or $35.75 per day on weekdays and $47.50 per day on the weekends. He can usually pot about 285 seedlings per week. If he works from Friday to Thursday, which is the best payment option and by how much? 3. Brent bought avocados from the market at 8 for $9 and sold them at his fruit shop for 3 for $5. Over the weekend he made a profit of $65. How many avocados did he sell? 4. The hardware shop sells shelving with brackets and screws and without brackets and screws. Shelving with brackets and screws costs $32.50 per shelf. Shelving without brackets and screws costs $18.00; brackets cost $2.75 each and screws cost 10 for $1.00. Each shelf needs 3 brackets and each bracket has 6 screws. If Aaron wants to put up 3 shelves, which is the cheaper option and by how much? 5. Beau has 20 cabins he rents to holiday-makers. He bought some new sheets for the cabins and paid $304 for sheets that cost $19 each. The next day he saw the same sheets available for $16‚ so he bought twice as many as the day before. How much did he spend on sheets? R.I.C. Publications ® www.ricpublications.com.au Problem-solving in mathematics 45
SOLUTIONS Note: Many solutions are written statements rather than just numbers. This is to encourage teachers and students to solve problems in this way. HOW MANY? ............................................................. page 43 1. 90 500 visitors 2. 203 125 visitors 3. 230 930 visitors HOW FAR? .................................................................. page 44 1. 12 km per week 2. 1105 km 3. He swims 2880 m per day – about 20 km per week 4. 375 km 5. Each week she swims 12 km, runs 14 km and bikes 19 km. Assuming 4 weeks in a month. She swims 48 km, runs 56 km and bikes 76 km per month. HOW MUCH? ............................................................. page 45 1. $560 2. $327.75 Payment per seedling is better than $273.75 by $54 3. 120 4. $84.75 for shelving without brackets and screws is cheaper than $97.50 for shelving with brackets and screws by $12.75 5. $816 R.I.C. Publications ® www.ricpublications.com.au Problem-solving in mathematics 69
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 and 8: TEACHER NOTES Problem-solving To in
Page 9: HOW FAR? 1. Paula runs around a 400

20783_Problem_solving_Year_6_Number_and_place_value_Using_units_of_measurement

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