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.

   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
3. 3.

   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
4. 4.

   Bo's bucket of water is 14 cm deep. A leak makes the water fall 3/4 cm each hour. Now it is 5 cm deep. For how many hours has it been leaking?

   12
5. 5.

   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
6. 6.

   Kira's kite starts at 20 m and falls 2.5 m each minute. Now it is 7.5 m high. For how many minutes has it been falling?

   5
7. 7.

   Luz estimates (-7.2) × 4.1 as about -28, but the phone shows 29.52. What is most likely wrong with the phone's answer?

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

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

   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 decimal point is in the wrong place.
   • The sign is wrong.
   • The answer on the screen makes sense.
10. 10.

    Zee's team starts a game with 8.5 points. After the game, the total change is -3.25 points. What does the -3.25 tell you?

    • The final score is -3.25 points.
    • The score stayed the same.
    • The final score is 3.25 points higher than the starting score.
    • The final score is 3.25 points lower than the starting score.