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.

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

   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 12 kilograms each hour works out to 20 grams each minute.
   • Machine A, because 12 kilograms each hour is 200 grams each minute, 50 more.
   • Machine B, because 150 is greater than 12 when you compare the two packing speeds.
5. 5.

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

   • The work used 100 milliliters for a liter, but a liter is 1,000, so it is 3,500.
   • 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 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 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 work used 100 minutes for an hour, but an hour is 60 minutes, so it is 150.
   • The number should be divided: 2.5 divided by 60, because minutes are the bigger unit.
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 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.
   • The number should be divided by 100, not 1,000, giving 45 kilograms.
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