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Sleep Debt worksheet

Grades 5–6 · CCSS 5.NBT.B.7

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Sleep you aim for each night: 7 h
- Night 1: 8 h
- Night 2: 7.5 h
- Night 3: 5 h
- Night 4: 6 h
- Night 5: 4 h
- Night 6: 10 h
- Night 7: 10 h
Find: Extra sleep over 7 nights
Answer
2.
Problem 2.
- Sleep you aim for each night: 9 h
- Night 1: 6 h
- Night 2: 5 h
- Night 3: 5 h
- Night 4: 8 h
- Night 5: 6 h
- Night 6: 13 h
- Night 7: 9.8 h
Find: Sleep debt over 7 nights
Answer
3.
Problem 3.
- Sleep you aim for each night: 10 h
- Night 1: 8 h
- Night 2: 8 h
- Night 3: 5 h
- Night 4: 8 h
- Night 5: 7 h
- Night 6: 9 h
- Night 7: 8.5 h
Find: Sleep debt over 7 nights
Answer
4.
Problem 4.
- Sleep you aim for each night: 5 h
- Night 1: 6 h
- Night 2: 6 h
- Night 3: 7 h
- Night 4: 7 h
- Night 5: 5 h
- Night 6: 10 h
- Night 7: 7.4 h
Find: Extra sleep over 7 nights
Answer
5.
Problem 5.
- Sleep you aim for each night: 10 h
- Night 1: 7 h
- Night 2: 5 h
- Night 3: 6 h
- Night 4: 6.8 h
- Night 5: 6 h
- Night 6: 10 h
- Night 7: 9 h
Find: Sleep debt over 7 nights
Answer
6.
Problem 6.
- Sleep you aim for each night: 6 h
- Night 1: 5 h
- Night 2: 6 h
- Night 3: 6 h
- Night 4: 6 h
- Night 5: 5 h
- Night 6: 10 h
- Night 7: 7 h
Find: Extra sleep over 7 nights
Answer
7.
Problem 7.
- Sleep you aim for each night: 9 h
- Night 1: 9 h
- Night 2: 6 h
- Night 3: 6 h
- Night 4: 9 h
- Night 5: 5 h
- Night 6: 9 h
- Night 7: 5.5 h
Find: Sleep debt over 7 nights
Answer
8.
Problem 8.
- Sleep you aim for each night: 10 h
- Night 1: 8 h
- Night 2: 6.5 h
- Night 3: 4 h
- Night 4: 6 h
- Night 5: 7 h
- Night 6: 8 h
- Night 7: 9.5 h
Find: Sleep debt over 7 nights
Answer
9.
Problem 9.
- Sleep you aim for each night: 8 h
- Night 1: 9 h
- Night 2: 6.6 h
- Night 3: 7 h
- Night 4: 7.2 h
- Night 5: 5 h
- Night 6: 11 h
- Night 7: 6 h
Find: Sleep debt over 7 nights
Answer
10.
Problem 10.
- Sleep you aim for each night: 9 h
- Night 1: 7 h
- Night 2: 8.5 h
- Night 3: 7 h
- Night 4: 10 h
- Night 5: 5 h
- Night 6: 9 h
- Night 7: 9.5 h
Find: Sleep debt over 7 nights
Answer

Answer key: Sleep Debt worksheet

1. Extra sleep over 7 nights: 1.5 h
1. Add up the hours slept on the 7 nights entered
  $8 + 7.5 + 5 + 6 + 4 + 10 + 10$ $= 50.5 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $7 h \times 7$ $= 49 h$
3. You slept more than the target, so the difference is extra sleep rather than debt
  $50.5 - 49$ $= 1.5 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{50.5}{7}$ $= 7.21 h$
2. Sleep debt over 7 nights: 10.2 h
1. Add up the hours slept on the 7 nights entered
  $6 + 5 + 5 + 8 + 6 + 13 + 9.8$ $= 52.8 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $9 h \times 7$ $= 63 h$
3. Subtract the hours you slept from the hours you aimed for; what is left is your sleep debt
  $63 - 52.8$ $= 10.2 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{52.8}{7}$ $= 7.54 h$
3. Sleep debt over 7 nights: 16.5 h
1. Add up the hours slept on the 7 nights entered
  $8 + 8 + 5 + 8 + 7 + 9 + 8.5$ $= 53.5 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $10 h \times 7$ $= 70 h$
3. Subtract the hours you slept from the hours you aimed for; what is left is your sleep debt
  $70 - 53.5$ $= 16.5 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{53.5}{7}$ $= 7.64 h$
4. Extra sleep over 7 nights: 13.4 h
1. Add up the hours slept on the 7 nights entered
  $6 + 6 + 7 + 7 + 5 + 10 + 7.4$ $= 48.4 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $5 h \times 7$ $= 35 h$
3. You slept more than the target, so the difference is extra sleep rather than debt
  $48.4 - 35$ $= 13.4 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{48.4}{7}$ $= 6.91 h$
5. Sleep debt over 7 nights: 20.2 h
1. Add up the hours slept on the 7 nights entered
  $7 + 5 + 6 + 6.8 + 6 + 10 + 9$ $= 49.8 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $10 h \times 7$ $= 70 h$
3. Subtract the hours you slept from the hours you aimed for; what is left is your sleep debt
  $70 - 49.8$ $= 20.2 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{49.8}{7}$ $= 7.11 h$
6. Extra sleep over 7 nights: 3 h
1. Add up the hours slept on the 7 nights entered
  $5 + 6 + 6 + 6 + 5 + 10 + 7$ $= 45 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $6 h \times 7$ $= 42 h$
3. You slept more than the target, so the difference is extra sleep rather than debt
  $45 - 42$ $= 3 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{45}{7}$ $= 6.43 h$
7. Sleep debt over 7 nights: 13.5 h
1. Add up the hours slept on the 7 nights entered
  $9 + 6 + 6 + 9 + 5 + 9 + 5.5$ $= 49.5 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $9 h \times 7$ $= 63 h$
3. Subtract the hours you slept from the hours you aimed for; what is left is your sleep debt
  $63 - 49.5$ $= 13.5 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{49.5}{7}$ $= 7.07 h$
8. Sleep debt over 7 nights: 21 h
1. Add up the hours slept on the 7 nights entered
  $8 + 6.5 + 4 + 6 + 7 + 8 + 9.5$ $= 49 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $10 h \times 7$ $= 70 h$
3. Subtract the hours you slept from the hours you aimed for; what is left is your sleep debt
  $70 - 49$ $= 21 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{49}{7}$ $= 7 h$
9. Sleep debt over 7 nights: 4.2 h
1. Add up the hours slept on the 7 nights entered
  $9 + 6.6 + 7 + 7.2 + 5 + 11 + 6$ $= 51.8 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $8 h \times 7$ $= 56 h$
3. Subtract the hours you slept from the hours you aimed for; what is left is your sleep debt
  $56 - 51.8$ $= 4.2 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{51.8}{7}$ $= 7.4 h$
10. Sleep debt over 7 nights: 7 h
1. Add up the hours slept on the 7 nights entered
  $7 + 8.5 + 7 + 10 + 5 + 9 + 9.5$ $= 56 h$
2. Multiply your nightly target by the number of nights to get the sleep you aimed for
  $9 h \times 7$ $= 63 h$
3. Subtract the hours you slept from the hours you aimed for; what is left is your sleep debt
  $63 - 56$ $= 7 h$
4. Divide the total by the number of nights to see a typical night
  $\frac{56}{7}$ $= 8 h$