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Grade worksheet

Grade 7 · CCSS 7.EE.B.4.a

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

  1. Problem 1.
    • What do you want to find?: Weighted course grade
    • Number of categories: 1
    • Category 1: score: 130%
    • Category 1: weight: 22%

    Find: Current weighted grade

  2. Problem 2.
    • What do you want to find?: Score needed on the final
    • Current grade before the final: 70%
    • Weight of the final exam: 22%
    • Course grade you want: 78%

    Find: Score needed on the final

  3. Problem 3.
    • What do you want to find?: Score needed on the final
    • Current grade before the final: 90%
    • Weight of the final exam: 36%
    • Course grade you want: 100%

    Find: Score needed on the final

  4. Problem 4.
    • What do you want to find?: Score needed on the final
    • Current grade before the final: 76%
    • Weight of the final exam: 26%
    • Course grade you want: 55%

    Find: Score needed on the final

  5. Problem 5.
    • What do you want to find?: Weighted course grade
    • Number of categories: 2
    • Category 1: score: 115%
    • Category 1: weight: 28%
    • Category 2: score: 125%
    • Category 2: weight: 18%

    Find: Current weighted grade

  6. Problem 6.
    • What do you want to find?: Weighted course grade
    • Number of categories: 6
    • Category 1: score: 90%
    • Category 1: weight: 18%
    • Category 2: score: 65%
    • Category 2: weight: 18%
    • Category 3: score: 72%
    • Category 3: weight: 24%
    • Category 4: score: 74%
    • Category 4: weight: 30%

    Find: Current weighted grade

  7. Problem 7.
    • What do you want to find?: Score needed on the final
    • Current grade before the final: 75%
    • Weight of the final exam: 38%
    • Course grade you want: 50%

    Find: Score needed on the final

  8. Problem 8.
    • What do you want to find?: Score needed on the final
    • Current grade before the final: 90%
    • Weight of the final exam: 42%
    • Course grade you want: 60%

    Find: Score needed on the final

  9. Problem 9.
    • What do you want to find?: Score needed on the final
    • Current grade before the final: 100%
    • Weight of the final exam: 30%
    • Course grade you want: 65%

    Find: Score needed on the final

  10. Problem 10.
    • What do you want to find?: Weighted course grade
    • Number of categories: 1
    • Category 1: score: 60%
    • Category 1: weight: 15%

    Find: Current weighted grade

Answer key: Grade worksheet

  1. 1. Current weighted grade: 130%

    1. Multiply each category's score by its weight, so bigger categories count more, and add the results

      130%×22=2,860
    2. Add up the weights to see how much of the course you've entered

      22=22%
    3. Divide the weighted total by the total weight to get your grade

      2,86022=130%
  2. 2. Score needed on the final: 106.36%

    1. Write the course grade as two parts: your current grade counts for everything except the final, and the final counts for its own weight

      78%=70%×(1−0.22)+final×0.22
    2. Work backwards to the final score: take your current grade's share away from your goal, then divide by the final's weight

      78%−70%×0.780.22=106.3636%
    3. To see your best case, put 100% in for the final (and 0% for the worst case)

      70%×0.78+100%×0.22=76.6%
  3. 3. Score needed on the final: 117.78%

    1. Write the course grade as two parts: your current grade counts for everything except the final, and the final counts for its own weight

      100%=90%×(1−0.36)+final×0.36
    2. Work backwards to the final score: take your current grade's share away from your goal, then divide by the final's weight

      100%−90%×0.640.36=117.7778%
    3. To see your best case, put 100% in for the final (and 0% for the worst case)

      90%×0.64+100%×0.36=93.6%
  4. 4. Score needed on the final: -4.77%

    1. Write the course grade as two parts: your current grade counts for everything except the final, and the final counts for its own weight

      55%=76%×(1−0.26)+final×0.26
    2. Work backwards to the final score: take your current grade's share away from your goal, then divide by the final's weight

      55%−76%×0.740.26=−4.7692%
    3. To see your best case, put 100% in for the final (and 0% for the worst case)

      76%×0.74+100%×0.26=82.24%
  5. 5. Current weighted grade: 118.91%

    1. Multiply each category's score by its weight, so bigger categories count more, and add the results

      115%×28+125%×18=5,470
    2. Add up the weights to see how much of the course you've entered

      28+18=46%
    3. Divide the weighted total by the total weight to get your grade

      5,47046=118.913%
  6. 6. Current weighted grade: 74.87%

    1. Multiply each category's score by its weight, so bigger categories count more, and add the results

      90%×18+65%×18+72%×24+74%×30=6,738
    2. Add up the weights to see how much of the course you've entered

      18+18+24+30=90%
    3. Divide the weighted total by the total weight to get your grade

      6,73890=74.8667%
  7. 7. Score needed on the final: 9.21%

    1. Write the course grade as two parts: your current grade counts for everything except the final, and the final counts for its own weight

      50%=75%×(1−0.38)+final×0.38
    2. Work backwards to the final score: take your current grade's share away from your goal, then divide by the final's weight

      50%−75%×0.620.38=9.2105%
    3. To see your best case, put 100% in for the final (and 0% for the worst case)

      75%×0.62+100%×0.38=84.5%
  8. 8. Score needed on the final: 18.57%

    1. Write the course grade as two parts: your current grade counts for everything except the final, and the final counts for its own weight

      60%=90%×(1−0.42)+final×0.42
    2. Work backwards to the final score: take your current grade's share away from your goal, then divide by the final's weight

      60%−90%×0.580.42=18.5714%
    3. To see your best case, put 100% in for the final (and 0% for the worst case)

      90%×0.58+100%×0.42=94.2%
  9. 9. Score needed on the final: -16.67%

    1. Write the course grade as two parts: your current grade counts for everything except the final, and the final counts for its own weight

      65%=100%×(1−0.3)+final×0.3
    2. Work backwards to the final score: take your current grade's share away from your goal, then divide by the final's weight

      65%−100%×0.70.3=−16.6667%
    3. To see your best case, put 100% in for the final (and 0% for the worst case)

      100%×0.7+100%×0.3=100%
  10. 10. Current weighted grade: 60%

    1. Multiply each category's score by its weight, so bigger categories count more, and add the results

      60%×15=900
    2. Add up the weights to see how much of the course you've entered

      15=15%
    3. Divide the weighted total by the total weight to get your grade

      90015=60%