To evaluate how your test score could affect your overall math grade, we first need to calculate your potential scores on the test based on the information provided. The test is worth 10 points, broken down as follows:
- 2 questions worth 3 points each (total 6 points)
- 1 question worth 2 points (total 2 points)
- 2 questions worth 1 point each (total 2 points)
Total possible points = 6 + 2 + 2 = 10 points.
The test is worth 25% of your overall grade (even though you indicated 22% initially). This means that the remaining components of your grade (which contribute 75%) currently have you at a 90 average.
Current Grade Calculations
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Current Contribution to Grade:
- Current grade (90) contributes 75%: \[ 90 \times 0.75 = 67.5 \]
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Overall Grade Contribution:
- Let \( x \) be the score on the test.
- The test contributes 25% to the overall grade: \[ x \times 0.25 \]
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Total Grade Calculation: \[ \text{Total Grade} = 67.5 + (x \times 0.25) \]
Possible Test Scores
You could score between 0 and 10 points on the test. Let's analyze what your overall grade would be for various test scores:
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Score of 10: \[ \text{Total Grade} = 67.5 + (10 \times 0.25) = 67.5 + 2.5 = 70 \]
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Score of 9: \[ \text{Total Grade} = 67.5 + (9 \times 0.25) = 67.5 + 2.25 = 69.75 \]
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Score of 8: \[ \text{Total Grade} = 67.5 + (8 \times 0.25) = 67.5 + 2 = 69.5 \]
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Score of 7: \[ \text{Total Grade} = 67.5 + (7 \times 0.25) = 67.5 + 1.75 = 69.25 \]
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Score of 6: \[ \text{Total Grade} = 67.5 + (6 \times 0.25) = 67.5 + 1.5 = 69 \]
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Score of 5: \[ \text{Total Grade} = 67.5 + (5 \times 0.25) = 67.5 + 1.25 = 68.75 \]
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Score of 4: \[ \text{Total Grade} = 67.5 + (4 \times 0.25) = 67.5 + 1 = 68.5 \]
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Score of 3: \[ \text{Total Grade} = 67.5 + (3 \times 0.25) = 67.5 + 0.75 = 68.25 \]
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Score of 2: \[ \text{Total Grade} = 67.5 + (2 \times 0.25) = 67.5 + 0.5 = 68 \]
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Score of 1: \[ \text{Total Grade} = 67.5 + (1 \times 0.25) = 67.5 + 0.25 = 67.75 \]
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Score of 0: \[ \text{Total Grade} = 67.5 + (0 \times 0.25) = 67.5 + 0 = 67.5 \]
Summary of Possible Grades
Here are the scores you could achieve based on your test performance:
- Score of 10: 70.00 (lowest good grade)
- Score of 9: 69.75
- Score of 8: 69.50
- Score of 7: 69.25
- Score of 6: 69.00
- Score of 5: 68.75
- Score of 4: 68.50
- Score of 3: 68.25
- Score of 2: 68.00
- Score of 1: 67.75
- Score of 0: 67.50
Good Grades
- Any score from 10 to 8 (90% and above):
- These grades would keep your overall grade in math at or very close to an A.
Bad Grades
- Any score from 7 to 0:
- These grades would drop your overall math grade below 70 for those scoring down to a C or D, depending on your school’s grading scale.
If you have a specific grading scale for what constitutes a "good" or "bad" grade, you can align the above conclusions to those specific cutoffs.