Convert units with ratios

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   A leaky circle in Ari's kitchen drips 250 milliliters each minute (drip, drip, drip). How many liters drip out in 1 hour?

   15
2. 2.

   Sand trickles from a hole in Bo's bucket at 5 grams each second. How many kilograms of sand trickle out in 1 hour?

   18
3. 3.

   Esme's toy drone flies 50 meters each minute. How many kilometers would it fly in 1 hour at that speed?

   3
4. 4.

   Jun times two bike riders. The first rides 24 kilometers each hour. The second rides 300 meters each minute. Who is faster?

   • The first rider, because 24 kilometers each hour is 400 meters each minute.
   • The first rider, because 24 kilometers is 24,000 meters, far more than the second rider's 300.
   • The second rider, because 300 is greater than 24 when you compare the two speeds.
   • The second rider, because 24 kilometers each hour works out to 40 meters each minute.
5. 5.

   Luz compares two cookie packers. Machine A packs 12 kilograms each hour. Machine B packs 150 grams each minute. Which is faster?

   • Machine A, because 12 kilograms is 12,000 grams, which is far more than 150 grams.
   • Machine B, because 150 is greater than 12 when you compare the two packing speeds.
   • Machine A, because 12 kilograms each hour is 200 grams each minute, 50 more.
   • Machine B, because 12 kilograms each hour works out to 20 grams each minute.
6. 6.

   Milo changes 3.5 liters to milliliters and writes 350 milliliters. What went wrong?

   • The number should stay 3.5 and the unit alone should change, giving 3.5 milliliters.
   • The number should be divided by 1,000, because milliliters are the bigger unit of the two.
   • Nothing went wrong, because a smaller unit needs a smaller number than the 3.5 liters.
   • The work used 100 milliliters for a liter, but a liter is 1,000, so it is 3,500.
7. 7.

   Noah says 2.5 hours is 250 minutes, because 100 is an easy number to use. What is the mistake?

   • The work used 100 minutes for an hour, but an hour is 60 minutes, so it is 150.
   • The number should be multiplied by 90, because 1 hour is 90 minutes, giving 225 minutes.
   • The number should stay 2.5, since the unit alone changes, giving 2.5 minutes.
   • The number should be divided: 2.5 divided by 60, because minutes are the bigger unit.
8. 8.

   Pia changes 4,500 grams to kilograms and gets 4,500,000 kilograms. What went wrong?

   • Nothing went wrong, because a bigger unit like the kilogram needs a bigger number.
   • The work multiplied, but a kilogram is bigger than a gram, so divide by 1,000 to get 4.5 kilograms.
   • The number should be divided by 100, not 1,000, giving 45 kilograms.
   • The number should stay 4,500 and the unit alone should change, giving 4,500 kilograms.
9. 9.

   Ren's walk to the library takes 2 hours. The bus trip takes 20 minutes. How many times as long as the bus trip is the walk?

   6
10. 10.

    A movie that Tala watches lasts 3 hours. A short cartoon lasts 15 minutes. How many times as long as the cartoon is the movie?

    12