Section B Practice Problems

Problem 1

  1. Circle the items that might weigh about 1 gram.

    a safety pin

    a turtle

    a dollar bill

    a chair

    a pen

  2. Circle the items that might weigh about 1 kilogram.

    a giant tortoise

    a pencil

    a birthday cake

    a large book

    a full lunchbox

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Solution
  1. a safety pin and a dollar bill
  2. a birthday cake, a full lunchbox, and a large book

Problem 2

Decide whether the volume of each container is more than 1 liter, less than 1 liter, or about 1 liter.

  1. a bathtub

  2. a cup

  3. a swimming pool

  4. a large water bottle

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Solution
  1. more than 1 liter
  2. less than 1 liter
  3. more than 1 liter
  4. about 1 liter

Problem 3

  1. What is the volume of liquid shown in the container?

    Container of water showing measurement in liters.

  2. Shade the image of the empty container to show 1341\frac{3}{4} liters of water.

    Container with measurements in liters.

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Solution
  1. 2242 \frac{2}{4}liters (or equivalent)

  2.  

    Container of water in liters.

Problem 4

Kiran thinks that weight and volume go together. He says the bigger something is, the heavier it is, and the heavier something is, the bigger it is. Do you agree with Kiran? Give some examples to explain your thinking.

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Solution

Sample response: Kiran can be right. If I take more and more water, it takes up more and more space and weighs more and more. But there are some big things that don’t weigh much like a feather pillow or an empty box. And there are some small things that are heavy like rocks or metal things like weights. So I think it depends on the object. Sometimes being bigger means being heavier, but a small object can be heavier than a big one.

Problem 5

You have a 3-liter jug of water and a 5-liter jug of water. How can you measure out 4 liters of water precisely using only these 2 jugs?

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Solution

Sample response: Fill the 3-liter jug and pour it into the 5-liter jug. Fill the 3-liter jug of water again and pour 2 liters in until the 5-liter jug is full. Then pour out the water from the 5-liter jug. Pour the 1 liter of water left in the 3-liter jug into the 5-liter jug and then 3 more liters by filling the 3-liter jug and pouring it into the 5-liter jug.