📚 Exam Calculator
📝 Exam Details
📊 Results
🔍 What-If Analysis
Key Terms
Correct Answers: Questions you answer right (+1 mark each).
Wrong Answers: Questions you answer wrong (–0.25 marks each, assuming ¼ negative marking).
Unattempted: Questions you leave blank (no marks).
What-If Analysis: Testing how changes (like attempting more questions) affect your score.
Example Scenario
Let’s break down the given example step-by-step:
Original Situation
Total Questions: 100
Correct: 60 ➔
+60
marksWrong: 20 ➔
20 × (-0.25) = -5
marksUnattempted:
100 – (60 + 20) = 20
60 (correct) – 5 (wrong) = 55
What-If Scenario
You attempt 10 more questions:
New Correct:
60 + 7 = 67
New Wrong:
20 + 3 = 23
New Unattempted:
100 – (67 + 23) = 10
New Score Calculation:
Marks from correct:
67 × 1 = +67
Deductions from wrong:
23 × 0.25 = 5.75
Final Score:
67 – 5.75 = 61.25
Net Gain: 61.25 – 55 = +6.25
Step-by-Step Guide
Start with your current performance:
Total questions, correct, and wrong answers.
Add hypothetical attempts:
How many more questions will you try?
Estimate how many you’ll get right/wrong.
Calculate new totals:
New Correct = Original Correct + Additional Correct
New Wrong = Original Wrong + Additional Wrong
Check for errors:
Ensure
New Correct + New Wrong ≤ Total Questions
.
Compute the new score:
Use formula:
Score = (New Correct × 1) – (New Wrong × 0.25)
Visual Summary
Metric | Original | What-If | Change |
---|---|---|---|
Correct Answers | 60 | 67 | +7 |
Wrong Answers | 20 | 23 | +3 |
Unattempted | 20 | 10 | –10 |
Score | 55 | 61.25 | +6.25 |
Why This Matters
Risk vs Reward:
Attempting 10 more questions gave you +6.25 marks, but required risking 3 wrong answers.
Is this worth it? Depends on your confidence in those extra 10 questions.
Strategy Building:
Use this method to decide:
How many questions to attempt
How many wrong answers you can afford
Avoid Over-Attempting:
If your "What-If" totals exceed the exam’s total questions, the calculator will warn you!
Try It Yourself!
Use the code provided earlier to:
Input your current correct/wrong answers.
Add hypothetical "More Correct" and "More Wrong" values.
Click Test Scenario to see potential outcomes!
🔍 Pro Tip: Test pessimistic/optimistic scenarios to find your "sweet spot"!
Key Takeaway: What-If Analysis helps you make data-driven decisions about exam strategy. Always balance between attempting more questions and avoiding excessive negative marking!
No comments:
Post a Comment