Section D Practice Problems

Problem 1

Lin’s class got 8 pumpkins for a pumpkin carving contest. Each pumpkin weighed 12 kilograms. How many kilograms did the pumpkins weigh altogether?

Which tape diagram represents the situation?
Solve the problem. Explain or show your reasoning.

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Solution

Diagram B, or the diagram with 8 parts and 12 in each part.
96. Sample response: $8 \times 10 = 80$ , $8 \times 2 = 16$ , $80 + 16 = 96$ .

Problem 2

A family brought 2 pigs to the fair. The first pig weighed 153 kg. The second pig weighed less. How much did the second pig weigh?

What information do you need to solve the problem? Explain or show your reasoning.

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Solution

Sample responses:

I know there are 2 pigs and one weighed 153 kg. I know the second pig weighed less, but I need to know how much less the second pig weighed or how much they weighed together.
$t - 153$ . $t$ is the weight of the pigs together. If I know that, I can subtract 153 and that will be the weight of the second pig.

Problem 3

Mai gets in line for a ride at the fair at 7:43 p.m. A sign says the wait time is 15 minutes. Mai thinks she will be able to ride and then see a show that starts at 8:00 p.m.

Do you agree? Explain or show your reasoning.

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Solution

Sample response: I disagree. When she’s done standing in line, it will almost be 8:00. So, I don’t think she’ll have time to ride and get to the show.

Problem 4

Diego gave the same volume of water to 8 goats at the fair. He gave the goats 40 liters of water altogether. How many liters of water did Diego give each goat? Explain or show your reasoning.

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Solution

5 liters. Sample response:

40 \div 8 = 5

Problem 5

Jada sees this image of a clock in a mirror. What time is it? Explain your reasoning.

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Solution

4:39. Sample response: The shorter hand is the hour hand. The mirror makes it look like it is on the left hand side of the clock between the 7 and 8, so it is really on the right hand side between 4 and 5. That means it is after 4:00 and before 5:00. The minute hand appears on the right hand side between the 4 and 5 so it is really between the 7 and 8. It looks to be one minute past the 4 so in fact it is 1 minute before the 8, so it's 4:39.

Problem 6

Three pumpkins at the fair weigh a total of 1,000 kg.

What is 1 possibility for the weight of each pumpkin?
The lightest of the 3 pumpkins is 255 kg. What is a possibility now for the weights of the other 2 pumpkins?
The heaviest of the 3 pumpkins is 428 kg. How much does the third pumpkin weigh?

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Solution

Sample response: 200 kg, 300 kg, and 500 kg
Sample response: 255 kg, 300 kg, 445 kg
317 kg. Sample response: $255 + 428 = 683$ and $1,000 - 683 = 317$ .