FIRST COLLEGE EXAM: PRACTICE PACK
ThetaWave original editorial example | September 22, 2026
https://thetawave.ai/blog/first-college-exam-study-guide
Fictional course, responses, and log. Not a real exam, AI-output test,
student result, validated schedule, or prediction of a grade.

COMPLETED FICTIONAL EXAM MAP
Quiz in seven days; 20 minutes; three short quantitative/explanation tasks.
Closed-note, basic calculator allowed; show reasoning and units.
Scope: opportunity cost, feasible production, unused capacity.
Excluded: trade/comparative advantage. Exact questions: unknown.
Sources: M1 below; learning goals calculate, apply, interpret.
Available time: usually 45 minutes/evening. Actual total below: 230 minutes.

SOURCE M1
Four identical workers; one day. Each makes 2 loaves OR 1 scarf per day.
Workers may divide their day between activities. Constant productivity,
fixed resources, no other production constraints. A linear teaching model.
Economics reference (original numbers and wording are ours):
https://openstax.org/books/principles-economics-3e/pages/2-2-the-production-possibilities-frontier-and-social-choices

DIAGNOSTIC: attempt with givens visible and worked answers closed.
Suggested example time box: six minutes, not a validated performance norm.
1. At full resource use, what is the opportunity cost of one extra scarf?
   My answer and units:
2. Can M1 make 3 scarves and 3 loaves in the same day? Show why.
   My calculation:
3. Is 2 scarves and 2 loaves on, inside, or outside the frontier?
   My position and capacity explanation:

SOURCE M2: CHANGED QUESTIONS
Still four identical workers and one divisible day; now each makes
3 loaves OR 1 scarf. Other assumptions are unchanged. Use M2, not M1.
4. Cost of one extra scarf at full capacity? Include units.
   My answer:
5. Can M2 make 3 scarves and 4 loaves? Show the shared resource constraint.
   My calculation:
6. Is 2 scarves and 6 loaves on, inside, or outside the frontier? Explain.
   My explanation:

STOP: COMPLETE YOUR ATTEMPTS BEFORE READING THE KEY BELOW.


SEPARATE ANSWER KEY
1. 2 loaves per scarf. One scarf takes one worker-day that could make
   two loaves. 0.5 scarf/loaf answers the reverse question.
2. No: 3 + 3/2 = 4.5 worker-days > 4. Equivalently B + 2S <= 8,
   but 3 + 2(3) = 9. Comparing each output to its maximum is insufficient.
3. Inside: 2 + 2/2 = 3 worker-days used; one remains. It could make
   two more loaves OR one more scarf. This says nothing about preferences.
4. 3 loaves per scarf. One worker-day could now make three loaves.
5. No: 3 + 4/3 = 13/3, about 4.33 worker-days > 4. Or B + 3S <= 12,
   but 4 + 3(3) = 13. At three scarves, at most three loaves are feasible.
6. On: 2 + 6/3 = 4 worker-days, using all resources.

COMPLETED FICTIONAL ERROR LOG
Q1 response: 0.5 scarf/loaf. Incorrect units/direction.
Repair: put the sacrificed good in the numerator; retry Q4.
Q2 response: yes, 3 is below each maximum. Incorrect method.
Repair: add worker-days for both goods; retry Q5.
Q3 response: inside. Incomplete capacity explanation.
Repair: state 3 worker-days used, 1 unused, and a feasible extra output.
Priority: shared constraint and unit reversal, then capacity explanation.
Day4 Q4 and Q5 correct; Q6 called inside. Day3 repair: M2 bundle uses
all four worker-days. Close the key and explain Q6 again.

FILLED SEVEN-DAY RECORD (230 MINUTES, SIX SESSIONS)
7 days before: 45 min = 10 map + 6 diagnostic + 14 check + 15 plan.
  Output: three errors above, ordered by which blocks later problems.
6 days: 45 min explaining worker-days and retrying Q1/Q2 without answers.
  Output: 2 loaves/scarf and 4.5 worker-days; changed problem still needed.
5 days: missed. No time counted. Drop optional note reformatting.
4 days: 45 min Q4-Q6, check, repair. Q4/Q5 correct; Q6 called inside.
3 days: 30 min repair Q6 and retry with key closed. Correct reasoning.
2 days: 45 min = 10 select mixed set + 20 attempt + 15 check.
  Three sampled tasks correct. Familiar prompts cannot prove unseen mastery.
1 day: 20 min retrieve main error rules and confirm quiz logistics.
Minutes are practical choices, not optimal intervals or a grade prediction.

IF EXAM IS TOMORROW: THREE-HOUR AVAILABLE WINDOW
0-15: map scope, format, permitted materials, hard stop.
15-35: diagnostic with solutions closed; label errors.
35-75: source-check priority errors; write corrected explanations/prompts.
75-85: break, leave materials.
85-120: changed attempts and feedback.
120-130: break, leave materials.
130-160: mixed rehearsal with solutions closed.
160-180: consequential error checks and logistics.
Total 180 minutes = 160 preparation + 20 breaks. Not a week of spacing.
For 60 minutes: 10 map + 10 diagnose + 20 repair + 15 retry/check + 5 logistics.
Reduce topics if needed; preserve the hard stop. Do not infer full coverage.

YOUR EXAM MAP (replace the fictional information)
Course / exam:
Date, time, location/platform, duration:
Confirmed scope and excluded topics (source):
Format, weighting, permitted materials (source):
Unknown requirements to resolve:
Tasks I must be able to perform:
Sources / sample-question locations:
Available sessions and hard stop:

YOUR DIAGNOSTIC AND SESSION RECORD (copy as needed)
Prompt + source givens:
My closed-solution attempt:
Verified answer and source:
Result: missing / incorrect / incomplete / slow / secure for now
Specific error and correction:
Next changed prompt:
Session date / available minutes / actual minutes:
Output and next decision:
If a session is missed, which optional task can be removed?

LOGISTICS
Verify actual instructor rules, time, place/platform, materials,
calculator, identification, and submission requirements.
Keep answer key out of view during attempts. Save your own editable copy.
Teaching guidance:
https://advising.yalecollege.yale.edu/courses-majors/midterm-and-final-exam-study-tips
https://students.dartmouth.edu/academic-skills/learning-resources/academic-resource-library