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GRADE 5 Name: Mass is measured in grams or kilograms. Remember: 1 000 g = 1 kg • If a fraction has been given with the kilograms, it means that the fraction is a part of a kilogram (1 kg = 1 000g). 250 g = 500 g = 1 4 kg = 0,25 kg 1 kg = 0,5 kg 2 Example: Converting – grams to kilograms 5 000 g ÷ 1 000 = 5 kg 3 400 g = (3 000 ÷ 1 000) + 400 g = 3 kg 400 g Example: Converting kilograms to grams 5 kg × 1 000 = 5 000 g 2,5 kg = (2 kg × 1 000) + 500 g = 2 000 + 500 = 2 500 g 3 34 kg = (3 × 1 000) + (1 000 ÷ 4 × 3) = 3 000 + 750 = 3 750 g • You will have to divide 1 000g with the denominator of the fraction and multiply this answer with the numerator of the fraction. Questions: 1. Write down (in the table) the most suitable unit of mass that you would use to measure the following objects with: Object a) Paperclip b) Television c) Tennis ball d) Your own mass e) School bag without books f) School bag with books Unit of mass 2. Read the masses from each scale and write them down in both grams and kilograms. a)_______________________ b) _______________________ © e-classroom 2014 www.e-classroom.co.za Grade 5 Term 3 Mathematice: Measurement; Mass Mass GRADE 5 c)_______________________ 3. Convert the following masses from kilograms to grams: (Show all your working out.) a) 5 14 kg = ____________________________________________________ b) 8 kg = ______________________________________________________ c) 3,5 kg = _________________________________________________________ d) 60 kg = ______________________________________________________ 4. Convert the following masses from grams to kilograms: (Show all you working out.) a) 7 800 g = ________________________________________________________ b) 9 250 g = ________________________________________________________ c) 500 g = d) 19 000 g = _______________________________________________________ ______________________________________________________ 5. Arrange the following masses in ascending order: 25 kg 600 g; 25,5 kg; 19 000 g; 23 250 g; 30 kg ___________________________________________________________________ 6. Arrange the following masses in descending order: 25 kg 600 g; 25,5 kg; 19 000 g; 23 250 g; 30 kg ________________________________________________________________ 7. What do you notice in question 5 and 6 above? ___________________________________________________________________ ___________________________________________________________________ © e-classroom 2014 www.e-classroom.co.za Grade 5 Term 3 Mathematice: Measurement; Mass Mass GRADE 5 8. Round these mass measurements off to the nearest 100 kg. a) 123 kg ≈ ______________ b) 572 kg ≈ _______________ 9. Calculate and write each answer in grams and kilograms: (Show all your working out.) a) 19,5 kg + 26 kg – 7 kg 500 g =________________________________________ b) 125g × 12 = ______________________________________________________ c) 35 of 2,5 kg = ______________________________________________________ d) 288 kg ÷ 12 = _____________________________________________________ e) What is the difference between 3 kg 16 g and 7 kg 70 g? ________________________________________________________________ f ) How much mass is needed to make up 15 kg from 7 kg 315 g? ________________________________________________________________ ________________________________________________________________ 10. Solve these problems: (Show all your working out.) a) Tammy wants to bake 12 muffins. She has a recipe for 6 muffins. The recipe explains that she will have to use 500 g of flour for every 2 eggs she uses. How much flour would Tammy need to bake 12 muffins? ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ b) 1 John went to the mall and bought 32 kg of sweets for R12/kg. He also 1 bought 1 4 kg of biltong for R76/kg and 300 g of chocolate for R10 for each 100 g. How much money did John spend in the mall? ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ © e-classroom 2014 www.e-classroom.co.za Grade 5 Term 3 Mathematice: Measurement; Mass Mass GRADE 5 1. Write down (in the table) the most suitable unit of mass that you would use to measure the following objects with: a) b) c) d) e) f) Object Paperclip Television Tennis ball Your own mass School bag without books School bag with books Unit of mass Grams Kilograms Grams Kilograms Grams Kilograms 2. Read the masses from each scale and write them down in both grams and kilo grams. a) 67 kg or 67 000 g c) 175 g b) 123,5 kg or 123 500 g 3. Convert the following masses from kilograms to grams: (Show all your working out.) a) 5 14 kg = (5 × 1 000) + (1 000 ÷ 4 × 1) = 5 000 + 250 = 5 250 g b)8 kg = 8 × 1 000 = 8 000 g c) 3,5 kg = (3 × 1 000) + 500 g = 3 000 + 500 = 3 500 g d)60 kg = 60 × 1 000 = 60 000 g 4. Convert the following masses from grams to kilograms: (Show all you working out.) a) 7 800 g = (7 000 ÷ 1 000) + 800 = 7 kg 800 g b)9 250 g = (9 000 ÷ 1 000) + 250 = 9kg 250 g = 9,25 kg c) 500 g = 0 kg 500 g = 0,5 kg = 2 kg d)19 000 g = 19 000 ÷ 1 000 = 19 kg 1 5. Arrange the following masses in ascending order: 25 kg 600 g; 25,5 kg; 19 000 g; 23 250 g; 30 kg © e-classroom 2014 www.e-classroom.co.za Grade 5 Term 3 Mathematice: Measurement; Mass Answer sheet GRADE 5 Grade 5 Term 3 Mathematice: Measurement; Mass Answer sheet Convert: 25 600 g; 25 500 g; 19 000 g; 23 250 g; 30 000 g Answer: 19 000 g; 23 250 g; 25,5 kg; 25 kg 600 g; 30 kg 6. Arrange the following masses in descending order: 25 kg 600 g; 25,5 kg; 19 000 g; 23 250 g; 30 kg Convert: 25 600 g; 25 500 g; 19 000 g; 23 250 g; 30 000 g Answer: 30 kg; 25 kg 600 g; 25,5 kg; 23 250 g; 19 000 g 7. What do you notice in question 5 and 6 above? Ascending order – masses ordered from smallest to highest in value. Descending order – masses ordered from biggest to smallest in value. 8. Round these mass measurements off to the nearest 100 kg. a) 123 kg ≈ 100 kg b) 572 kg ≈ 600 kg 9. Calculate and write each answer in grams and kilograms: (Show all your working out.) a) 19,5 kg + 26 kg – 7 kg 500 g = 38 kg = 38 000 g b)125 g × 12 = 1 500 g = 1,5 kg or 1 kg c) d)288 kg ÷ 12 = 24 kg = 24 000 g e) What is the difference between 3 kg 16 g and 7 kg 70 g? 3 5 of 2,5 kg = 2 500 g ÷ 5 × 2 = 1 000 g = 1 kg 7 070 g – 3 016 g = 4 054 g = 4 kg 54 g f ) How much mass is needed to make up 15 kg from 7 kg 315 g? 15 000 g – 7 315 g = 7 685 g = 7 kg 685 g © e-classroom 2014 www.e-classroom.co.za GRADE 5 10. Solve these problems: (Show all your working out.) a) Tammy wants to bake 12 muffins. She has a recipe for 6 muffins. The recipe explains that she will have to use 500 g of flour for every 2 eggs she uses. How much flour would Tammy need to bake 12 muffins? 6 muffins × 2 = 12 muffins 500 g × 2 = 1 000 g or 1 kg Tammy will need 1 kilogram of flour to bake 12 muffins. 1 1 b) John went to the mall and bought 3 2 kg of sweets for R12/kg. He also bought 14 kg of biltong for R76/kg and 300g of chocolate for R10 for each 100g. How much money did John spend in the mall? Sweets: (R12 × 3) + (R12 ÷ 2 × 1) = R36 + R6 = R42 Biltong: (R76 × 1) + (R76 ÷ 4 × 1) = R76 + R19 = R95 Chocolate: 300 g ÷ 100 g = 3 R42 + R95 + R30 = R167 John spent R167 at the mall. 3 × R10 = R30 © e-classroom 2014 www.e-classroom.co.za Grade 5 Term 3 Mathematice: Measurement; Mass Answer sheet