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.

   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
2. 2.

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

   3
3. 3.

   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 is 24,000 meters, far more than the second rider's 300.
   • The second rider, because 24 kilometers each hour works out to 40 meters each minute.
   • The first rider, because 24 kilometers each hour is 400 meters each minute.
   • The second rider, because 300 is greater than 24 when you compare the two speeds.
4. 4.

   Kira's sink fills at 3 liters each minute. A bucket circle fills at 40 milliliters each second. Which circle is faster?

   • The bucket tap, because 40 is greater than 3 when you compare the two flow numbers.
   • The sink, because 3 liters is 3,000 milliliters, which is far more than 40 milliliters.
   • The bucket tap, because 3 liters each minute works out to 5 milliliters each second.
   • The sink, because 3 liters each minute is 50 milliliters each second, 10 more.
5. 5.

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

   • Nothing went wrong, because a smaller unit needs a smaller number than the 3.5 liters.
   • The number should be divided by 1,000, because milliliters are the bigger unit of the two.
   • The work used 100 milliliters for a liter, but a liter is 1,000, so it is 3,500.
   • The number should stay 3.5 and the unit alone should change, giving 3.5 milliliters.
6. 6.

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

   • The number should be divided: 2.5 divided by 60, because minutes are the bigger unit.
   • The number should stay 2.5, since the unit alone changes, giving 2.5 minutes.
   • The number should be multiplied by 90, because 1 hour is 90 minutes, giving 225 minutes.
   • The work used 100 minutes for an hour, but an hour is 60 minutes, so it is 150.
7. 7.

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

   • The number should stay 4,500 and the unit alone should change, giving 4,500 kilograms.
   • The number should be divided by 100, not 1,000, giving 45 kilograms.
   • The work multiplied, but a kilogram is bigger than a gram, so divide by 1,000 to get 4.5 kilograms.
   • Nothing went wrong, because a bigger unit like the kilogram needs a bigger number.
8. 8.

   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
9. 9.

   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
10. 10.

    Zee bakes a cake for 4 hours at low heat. Cupcakes bake in 80 minutes. How many times as long as the cupcakes does the cake bake?

    3