Multi-step problems with positive and negative numbers, and checking they make sense

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. 1.

   Ren's kite starts 8.5 m high. It climbs 3/4 m per minute for 8 minutes, then falls 1.25 m per minute for 6 minutes. How high is the kite now?

   7
2. 2.

   Tala watches a whale at -2.5 m (below the surface is negative). It dives 3/4 m per second for 6 seconds, then rises 1.5 m per second for 4 seconds. Where is it now?

   -1
3. 3.

   At noon, Zee's thermometer reads 3.5°F. It falls 1/2 degree per hour for 4 hours, then falls 3/4 degree per hour for 8 hours. What does it read then?

   -4.5
4. 4.

   Ari hikes from -4.5 m (lake level is 0). The trail climbs 2.5 m per minute for 6 minutes, then descends 1.25 m per minute for 8 minutes. What is the height then?

   0.5
5. 5.

   At dawn, Esme's thermometer reads -7.5°F. The temperature rises 1.5 degrees each hour. Now it reads -1.5°F. How many hours have passed?

   4
6. 6.

   A whale starts at -18 m (below the surface is negative) and rises 1/2 m each second. Now Jun sees it at -12 m. How many seconds has it been rising?

   12
7. 7.

   Milo estimates 6.8 × 2.1 as about 14, but the screen shows 142.8. What is most likely wrong with the screen's answer?

   • The sign is wrong.
   • The decimal point is in the wrong place.
   • The answer on the screen makes sense.
8. 8.

   Noah estimates (-9.8) ÷ (-2.8) as about 3, but the TV game shows -3.5. What is most likely wrong with the game's answer?

   • The answer on the screen makes sense.
   • The sign is wrong.
   • The decimal point is in the wrong place.
9. 9.

   At noon, Ren's thermometer reads 4.5°F. By night the total change is -3.5 degrees. What does the -3.5 tell you?

   • The temperature at night is -3.5°F.
   • The temperature did not change.
   • The temperature at night is 3.5 degrees warmer than at noon.
   • The temperature at night is 3.5 degrees colder than at noon.
10. 10.

    Tala starts a hike at 12.5 m above the lake. By the end, the total change in height is -17.5 m. What does the -17.5 tell you?

    • The hiker ends 17.5 meters higher than the start.
    • The hiker did not move.
    • The hiker is at a height of -17.5 meters.
    • The hiker ends 17.5 meters lower than the start.