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Weight Mystery Case File
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Weight Mystery Case File
A courier has mixed up four parcels at the sorting depot. Use the evidence table and clues to work out each parcel’s mass. Show your calculations and give units where asked.
Evidence from the scales
The depot scales recorded these masses. Remember: 1 kg = 1,000 g.
Parcel A 1,250 g
Parcel B 650 g
Parcel C 1.4 kg
Parcel D 800 g
1.Convert Parcel A’s mass to kilograms. Write your answer as a decimal.
2.Convert Parcel C’s mass to grams.
3.Put the four parcel masses in order from lightest to heaviest. Write the parcel letters.
Clues from the courier
Use the mass records to test each clue. Be careful to convert units before adding or comparing.
4.Clue: Parcels B and C together weigh 2.05 kg. Calculate their combined mass in grams. Does the clue match?
5.Clue: Parcel D is 150 g heavier than Parcel B. Is this true? Show the subtraction that proves your answer.
6.Clue: Parcel C is twice the mass of Parcel D. Check the clue by doubling Parcel D’s mass.
7.Find the total mass of all four parcels in grams, then write it in kilograms.
8.The loading trolley can carry 4.5 kg. How many grams of spare capacity remain after all four parcels are loaded?
9.A label on Parcel A says 1 kg 250 g. Is this the same as the recorded mass of 1,250 g? Explain briefly.
10.The courier thinks Parcel A and Parcel D weigh exactly 2 kg altogether. Decide whether the courier is correct, and state the difference from 2 kg.
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