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Comparing Weights Using Scales

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Comparing Weights Using Scales

A community market stall is packing produce orders. Use the scale readings to compare masses and help pack each order. Mass is measured in grams (g) and kilograms (kg); 1 kg = 1,000 g. Write comparison symbols carefully: > means greater than, < means less than, and = means equal to.

Part A: Compare the readings

A digital scale shows the mass of each item. Use the readings, not the size of the item.

1.The apple bag is 1.35 kg and the pear bag is 1,280 g. Which bag has the greater mass? Show both masses in the same unit and use > or < to compare them.
2.A pumpkin has a mass of 2.4 kg. A cabbage has a mass of 2,650 g. Choose the correct comparison.
  • 2.4 kg > 2,650 g
  • 2.4 kg < 2,650 g
  • 2.4 kg = 2,650 g
3.A balance scale has a bag of kūmara on the left pan and a bag of onions on the right pan. The left pan hangs lower. Which statement must be true?
  • The kūmara have greater mass than the onions.
  • The onions have greater mass than the kūmara.
  • The two bags have equal mass.

Part B: Use the scale evidence

At the stall, Freya weighs three parcels. The readings are: Parcel A = 750 g; Parcel B = 0.82 kg; Parcel C = 805 g.

4.Write the parcels in order from lightest to heaviest. Convert units if that helps.
700725750775800825850
5.How much greater is Parcel B's mass than Parcel A's mass? Give your answer in grams.
6.The scale is accurate to the nearest 5 g. A small bag has an exact mass of 238 g. What mass will the scale display when the bag is weighed?

Part C: Pack the order

An order needs exactly 1 kg of fruit. The stall has two fruit bags weighing 425 g and 390 g, plus a small bag weighing 0.18 kg.

7.Which two bags should Freya combine to get a total closest to 1 kg without going over? Calculate each useful combination and explain your choice.
8.How many more grams are needed to make the chosen combination exactly 1 kg?
9.Freya says, “A bigger-looking bag must have a greater mass.” Give one reason this claim might be wrong, and describe how a scale can check fairly.

3 printable pages

  • Comparing Weights Using Scales, page 1 of 3: Part A: Compare the readings

    Page 1

  • Comparing Weights Using Scales, page 2 of 3: Part B: Use the scale evidence, Part C: Pack the order

    Page 2

  • Comparing Weights Using Scales, page 3 of 3: 9. Freya says, “A bigger-looking bag must have a greater mass.” Give one reason this…

    Page 3

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