# Converting Units of Mass - Grade 4 Worksheet ## Section A: Multiple Choice Questions
Q1: How many grams are in 1 kilogram? (a) 10 grams (b) 100 grams (c) 1,000 grams (d) 10,000 grams
Solution:
Ans: (c) Explanation: The prefix kilo- means 1,000, so 1 kilogram equals 1,000 grams. This is a basic conversion that helps us compare masses of different objects.
Q2: A textbook has a mass of 2 kilograms. What is its mass in grams? (a) 20 grams (b) 200 grams (c) 2,000 grams (d) 20,000 grams
Solution:
Ans: (c) Explanation: To convert kilograms to grams, we multiply by 1,000. So, \(2 \times 1,000 = 2,000\) grams. Option (a) is incorrect because it only multiplies by 10, and option (b) multiplies by 100.
Q3: If a watermelon weighs 5,000 grams, how many kilograms does it weigh? (a) 5 kilograms (b) 50 kilograms (c) 500 kilograms (d) 0.5 kilograms
Solution:
Ans: (a) Explanation: To convert grams to kilograms, we divide by 1,000. So, \(5,000 \div 1,000 = 5\) kilograms. Option (d) would be correct if the watermelon weighed 500 grams.
Q4: Which of the following is equal to 3,500 grams? (a) 35 kilograms (b) 3.5 kilograms (c) 0.35 kilograms (d) 350 kilograms
Solution:
Ans: (b) Explanation: To convert 3,500 grams to kilograms, divide by 1,000: \(3,500 \div 1,000 = 3.5\) kilograms. Option (a) would require multiplying instead of dividing.
Q5: A bag of apples weighs 4 kilograms. If you add 500 grams of oranges to the bag, what is the total mass in grams? (a) 4,500 grams (b) 900 grams (c) 5,000 grams (d) 450 grams
Solution:
Ans: (a) Explanation: First, convert 4 kilograms to grams: \(4 \times 1,000 = 4,000\) grams. Then add the 500 grams of oranges: \(4,000 + 500 = 4,500\) grams. Both masses must be in the same unit before adding.
Q6: How many grams are in 7 kilograms and 200 grams? (a) 7,200 grams (b) 720 grams (c) 9,000 grams (d) 2,700 grams
Q7: A box weighs 8,600 grams. How many complete kilograms does it weigh? (a) 8 kilograms (b) 9 kilograms (c) 86 kilograms (d) 860 kilograms
Solution:
Ans: (a) Explanation: To find complete kilograms, divide 8,600 by 1,000: \(8,600 \div 1,000 = 8.6\) kilograms. The complete kilograms (whole number part) is 8 kilograms. Option (b) would be rounding up, but we need the complete kilograms only.
Q8: Which is heavier: 6,000 grams or 5 kilograms? (a) 6,000 grams (b) 5 kilograms (c) They are equal (d) Cannot be determined
Solution:
Ans: (a) Explanation: Convert both to the same unit. 5 kilograms = \(5 \times 1,000 = 5,000\) grams. Since 6,000 grams > 5,000 grams, 6,000 grams is heavier.
## Section B: Fill in the Blanks Q9: To convert kilograms to grams, you must multiply by __________.
Solution:
Ans: 1,000 Explanation: Since 1 kilogram equals 1,000 grams, we multiply by 1,000 when converting from the larger unit (kilograms) to the smaller unit (grams).
Q10: To convert grams to kilograms, you must divide by __________.
Solution:
Ans: 1,000 Explanation: Since 1,000 grams equals 1 kilogram, we divide by 1,000 when converting from the smaller unit (grams) to the larger unit (kilograms).
Q11: The symbol for kilogram is __________.
Solution:
Ans: kg Explanation: The kilogram is abbreviated as kg, which is the standard metric unit symbol used worldwide.
Q12: The symbol for gram is __________.
Solution:
Ans: g Explanation: The gram is abbreviated as g, which is used to represent this smaller unit of mass in the metric system.
Q13: Half a kilogram is equal to __________ grams.
Solution:
Ans: 500 Explanation: Half of 1 kilogram means \(\frac{1}{2} \times 1,000 = 500\) grams. This is a common conversion used in everyday situations.
Q14: 10 kilograms is equal to __________ grams.
Solution:
Ans: 10,000 Explanation: To convert 10 kilograms to grams, multiply by 1,000: \(10 \times 1,000 = 10,000\) grams.
## Section C: Word Problems Q15: Sarah bought 3 kilograms of flour and 1,500 grams of sugar. What is the total mass of flour and sugar in grams?
Solution:
Ans: First, convert 3 kilograms to grams: \(3 \times 1,000 = 3,000\) grams Then, add the sugar: \(3,000 + 1,500 = 4,500\) grams Final Answer: 4,500 grams
Q16: A bag of rice weighs 12,000 grams. How many kilograms does the bag of rice weigh?
Solution:
Ans: To convert grams to kilograms, divide by 1,000: \(12,000 \div 1,000 = 12\) kilograms Final Answer: 12 kilograms
Q17: A puppy weighs 6 kilograms. After one month, it gains 800 grams. What is the puppy's new mass in grams?
Solution:
Ans: First, convert 6 kilograms to grams: \(6 \times 1,000 = 6,000\) grams Then, add the weight gained: \(6,000 + 800 = 6,800\) grams Final Answer: 6,800 grams
Q18: A grocery store has 15 kilograms of potatoes. If they sell 7,000 grams, how many kilograms of potatoes are left?
Solution:
Ans: First, convert 7,000 grams to kilograms: \(7,000 \div 1,000 = 7\) kilograms Then, subtract from the total: \(15 - 7 = 8\) kilograms Final Answer: 8 kilograms
Q19: Emma has three packages. The first weighs 2 kilograms, the second weighs 1,500 grams, and the third weighs 3,200 grams. What is the total mass of all three packages in kilograms?
Solution:
Ans: Convert all to grams first: First package: \(2 \times 1,000 = 2,000\) grams Second package: 1,500 grams Third package: 3,200 grams Total in grams: \(2,000 + 1,500 + 3,200 = 6,700\) grams Convert to kilograms: \(6,700 \div 1,000 = 6.7\) kilograms Final Answer: 6.7 kilograms
Q20: A box of books weighs 9 kilograms and 450 grams. What is the total mass of the box in grams?
Solution:
Ans: First, convert 9 kilograms to grams: \(9 \times 1,000 = 9,000\) grams Then, add the extra 450 grams: \(9,000 + 450 = 9,450\) grams Final Answer: 9,450 grams
The document Worksheet (with Solutions): Converting Units of Mass is a part of the Grade 4 Course Math Grade 4.
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