To calculate the student's current grade, we use a weighted average formula:

Formula:

$\text{Weighted Grade} = (\text{Weight of Projects} \times \text{Project Grade}) + (\text{Weight of Tests} \times \text{Test Grade}) + (\text{Weight of Quizzes} \times \text{Quiz Grade})$

Given:

• Projects Grade: $65\%$
• Tests Grade: $85\%$
• Quizzes Grade: $74\%$
• Weights:
  • Projects = $25\%$ or $0.25$
  • Tests = $60\%$ or $0.60$
  • Quizzes = $15\%$ or $0.15$

Calculation:

1. Weight for Projects:
   $0.25 \times 65 = 16.25$

2. Weight for Tests:
   $0.60 \times 85 = 51.00$

3. Weight for Quizzes:
   $0.15 \times 74 = 11.10$

4. Total Grade:
   $16.25 + 51.00 + 11.10 = 78.35$

Final Answer:

The student's current grade is 78.35%.

Would you like further details or explanations?

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Relative Questions:

1. What is the importance of weights in calculating a grade?
2. How would the grade change if the weights for Tests and Projects were swapped?
3. What is the difference between weighted and unweighted averages in this context?
4. How does one determine the weights in a grading system?
5. Could a lower score in Quizzes be offset by a higher weight for Tests? How?

Tip: Always double-check weights to ensure they sum to 100% when calculating weighted averages.