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

Answer Key - Grade 7 Math Worksheet

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

1. 1.

   A whale Jun watches from a boat starts at -12.25 m (below the surface is negative). It rises 1/2 m each second for 9 seconds. Where is the whale then?

   -7.75
2. 2.

   Kira's robot starts at 2.25 on a number line. It moves 1/2 to the left in each step, for 7 steps. Where does the robot stop?

   -1.25
3. 3.

   Luz hikes from 1.5 m above the trailhead. The trail descends 3/4 m each minute for 5 minutes. What is Luz's height above the trailhead then?

   -2.25
4. 4.

   A table of four rows. Row | Change: 1 | -3/4; 2 | 1.5; 3 | -0.25; 4 | -2. Milo keeps a table of how a pond's water level changed on four days, in cm. What is the total change?

   -1.5
5. 5.

   A table of four rows. Row | Change: 1 | 2.5; 2 | -3/4; 3 | -1.25; 4 | 1/4. Noah keeps a table of how the temperature changed on four days, in degrees. What is the total change?

   0.75
6. 6.

   A table of four rows. Row | Change: 1 | -1/2; 2 | -2.25; 3 | 3; 4 | 1.25. Pia keeps a table of how a game score changed in four rounds, in points. What is the total change?

   1.5
7. 7.

   Ari has 3.25 liters of juice and fills 3 cups of 1/4 liter each. How many liters of juice are left?

   2.5
8. 8.

   Bo has 8.5 kg of flour and uses 7/8 kg for each of 6 batches. How many kilograms of flour are left?

   3.25
9. 9.

   Milo divides 61.6 ÷ (-7.7) on a phone, and a notification covers the answer. Use a quick estimate. Which answer makes sense?

   • -8
   • -0.8
   • 8
   • -80
10. 10.

    Pia multiplies (-1.2) × (-4.1) in the margin of a book. Use a quick estimate. Which answer makes sense?

    • -4.92
    • 0.492
    • 49.2
    • 4.92