Review Comments of Math Practice Questions 4/07/2025
Here’s the scoring and feedback for each question:
Question 1
Answer: Steve gave Alex 20 blocks
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.5/0.5): Correct setup and simplification (
60 = x + 2x → x = 20).
Score: 1.0
Question 2
Answer: Ronaldo scored 4 and Messi scores 7
Feedback:
- Final Answer (0.5/0.5): Correct (assuming "Messi" = Lionel).
- Solving Steps (0.4/0.5): Correct logic but missing formal equations (e.g.,
L = C + 3,L + C = 11).
Score: 0.9
Question 3
Answer: Socrates is 50 and Plato is 30
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.4/0.5): Correct but could explicitly show
S + (S - 20) = 80.
Score: 0.9
Question 4
Answer: x ≤ min(6, y)
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.5/0.5): Clear and concise.
Score: 1.0
Question 5
Answer: Adult tickets: 30, Child tickets: 20
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.5/0.5): Perfect substitution and solving.
Score: 1.0
Question 6
Answer: Pythagoras: 150, Aristotle: 300
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.5/0.5): Correct division and interpretation.
Score: 1.0
Question 7
Answer: x ≥ 65
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.5/0.5): Proper inequality solving.
Score: 1.0
Question 8
Answer: 10 games
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.5/0.5): Correct ratio setup (
15/g = 3/2 → g = 10).
Score: 1.0
Question 9
Answer: Socrates: 20, Diogenes: 15
Feedback:
- Final Answer (0.5/0.5): Correct.
- Solving Steps (0.5/0.5): Clear equation setup.
Score: 1.0
Question 10
Answer: n ≤ min(5, x/2)
Feedback:
- Final Answer (0.5/0.5): Correct (assuming
xis total XP levels;x/2is implied). - Solving Steps (0.4/0.5): Correct but could clarify
x/2(e.g., "2 per enchantment").
Score: 0.9