Section B Practice Problems

Problem 1

Select all measurements greater than 1 meter.

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Solution
C,D

Problem 2

  1. The Burj Khalifa (BURJZH kha-LEE-fah) is a skyscraper in Dubai (doo-BAI). It is 828 meters tall. Is the height more than or less than 1 kilometer? Explain your reasoning.
  2. An airplane flies 9,500 meters above the ground. Is the distance more or less than 1 kilometer? Explain your reasoning.
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Solution
  1. Less. Sample response: There are 1,000 meters in a kilometer, so the building is close to but less than a kilometer tall.
  2. More. Sample response: There are 1,000 meters in a kilometer, so the distance is more than 9 kilometers.

Problem 3

  1. A bottle of water holds 250 milliliters.

    • How many of those bottles does it take to make 1 liter?

    • How many liters of water does the bottle hold?

  2. Jada’s backpack weighs 3.5 kilograms. How many grams is Jada’s backpack? Explain or show your reasoning.
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Solution
    • 4 bottles, because a liter is 1,000 milliliters and 4×250=1,0004 \times 250 = 1,000.
    • 14\frac{1}{4} liter, because 4 of the bottles make a liter.
  2. 3,500 grams. Sample response: There are 1,000 grams in each kilogram and then 500 grams more is half of a kilogram.

Problem 4

  1. A dromedary travels 40 kilometers in a day. A tuna fish swims 200 kilometers in a day. How many times farther does the tuna fish travel than the dromedary?

  2. A three-toed sloth travels 30 meters in a day. What is the distance in centimeters?

  3. A giant tortoise travels 300 meters in a day. How many times farther than the three-toed sloth does the giant tortoise travel?

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Solution
  1. 5 times, because 5×40=2005 \times 40 = 200.
  2. 3,000 centimeters
  3. 10 times, because 10×30=30010 \times 30=300.

Problem 5

The average weight of a newborn baby is 7 pounds 8 ounces. What is the weight in ounces?

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Solution

120 ounces. Sample response: There are 16 ounces in a pound, so 7 pounds is 7×167 \times 16 or 112 ounces. Adding 8 ounces to that gives 120 ounces.

Problem 6

Diego said it took him 1,800 seconds to get home from school yesterday. Lin thinks he is exaggerating.

  1. It took Diego 12\frac{1}{2} hour to get home from school yesterday. What is the time in minutes? Explain your reasoning.
  2. What is the time in seconds? Explain or show your reasoning.
  3. Was Diego's statement correct or is he exaggerating?
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Solution
  1. 30 minutes, because there are 60 minutes in 1 hour so that’s 30 minutes in a half hour.
  2. 30×6030 \times 60 or 1,800 seconds, because there are 60 seconds in each minute.
  3. Diego’s statement was correct.

Problem 7

Han makes sparkling juice by mixing 1.5 liters of juice and 500 milliliters of sparkling water.

  1. How many milliliters of sparkling juice did Han make?

  2. How many times more juice did Han use than sparkling water?

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Solution
  1. 2,000 milliliters, because 1.5 liters of juice is 1,500 milliliters and 1,500+500=2,0001,500 + 500 = 2,000.
  2. 3 times, because 1,500=3×5001,500 = 3 \times 500.

Problem 8

Jada is trying to decide which option will take less time to make a trip. Here are the details.

Option 1 (Fly)

  • 30 minutes to get to the airport
  • 1121\frac{1}{2} hours waiting at the airport
  • 45-minute flight
  • 1141 \frac{1}{4} hours more to get to the destination

Option 2 (Drive)

  • 3343\frac{3}{4}-hour drive
  • 12\frac{1}{2}-hour stop for lunch

Which option takes less total time? Explain your reasoning.

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Solution

Sample response:

For the flying option, waiting at the airport takes 90 minutes. Getting to the destination takes 1141\frac{1}{4} hours, which is 75 minutes. (A quarter hour is 15 minutes, so 1141\frac{1}{4} hours is 60 minutes plus 15 minutes.) Adding everything up, it's 30+90+45+7530 +90 + 45 + 75 or 240 minutes, which is 4 hours.

For the driving option, 3 hours is 180 minutes and 34\frac{3}{4} hours is another 45 minutes, so that's 225 minutes. Then 12\frac{1}{2} an hour is 30 minutes more, so that's 255 minutes.

It takes a little bit longer to drive than to fly.

Problem 9

Three different trails start and end at the same location. Here are the round-trip distances:

Trail A: 800 m

Trail B: 2.5 km

Trail C: 1,300 m

Trail D: 3 km

  1. Andre hiked a total of more than 3 kilometers but less than 4 kilometers. Which trails might Andre have taken?
  2. Jada hiked more than 2 kilometers but less than 3 kilometers. Which trails might Jada have taken?
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Solution

Sample responses:

  1. Together, Trail B and Trail C are 3,800 m, so that's more than 3,000 m but less than 4,000 m. Trail A and Trail D, too, are 3,800 m in total. Andre also could have taken both Trail A and Trail B (3,300 m). He also could have taken Trail C three times, which is 3,900 m.
  2. Jada could have taken just Trail B, which is 2,500 m and more than 2,000 m but less than 3,000 m. She could have taken both Trail A and Trail C, which are 2,100 m in total. Jada also could have taken Trail A three times, which is 2,400 m, or Trail A twice and Trail C once, which together total 2,900 m.