Review Comments of Math Practice Questions 14/06/2025

Here’s the scoring and feedback for each question:

Question 1 (Minecraft)

Answer: 6 (width) x 15 (length)
Steps: Correct setup and solving.
Feedback: Well done! Your steps and final answer are correct.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 2 (Football)

Answer: 15 (first half) and 35 (second half)
Steps: Correct logic and solving.
Feedback: Perfect! You correctly translated the problem into equations.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 3 (Greek Philosophers)

Answer: Aristotle = 33, Plato = 89
Steps: Correct setup and solving.
Feedback: Excellent work! The equation and solution are flawless.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 4 (Minecraft - Simultaneous Equations)

Answer: 7 emeralds and 17 diamonds
Steps: Correct substitution and solving.
Feedback: Great job! You solved the system accurately.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 5 (Football - Linear Equations)

Answer: 4 adults and 8 children
Steps: Correct setup but unclear intermediate steps (e.g., "$10 more" is not needed).
Feedback: Correct answer, but the steps could be clearer. Focus on the equation:
18A + 8(12 - A) = 136 → 10A + 96 = 136 → A = 4.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 6 (Greek Philosophers - Substitution)

Answer: Pythagoras = 12, Socrates = 24
Steps: Correct logic (dividing total by ratio).
Feedback: Perfect! Simple and effective solving.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 7 (Minecraft - Expanding Brackets)

Answer: 5x - 3
Steps: Correct simplification.
Feedback: Well done! The expression is simplified correctly.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 8 (Football - Solving Equations)

Answer: Lost 8, won 12
Steps: Correct logic but steps are unclear (e.g., "10 - 2 = 8" is unexplained).
Feedback: Correct answer, but show the equation:
W = L + 4, W + L = 20 → L + 4 + L = 20 → L = 8.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 9 (Greek Philosophers - Factorising)

Answer: 3x(2x + 3)
Steps: Correct factorisation.
Feedback: Perfect! You factored out the GCF correctly.
Score: 1.0 (0.5 final answer + 0.5 steps)

Question 10 (Minecraft - Linear Graphs)

Answer:

• Height after 8 layers: 21
• Layers for 21 blocks: 8
  Steps: Missing steps (should show substitution: y = 2(8) + 5 = 21 and solving 21 = 2x + 5 → x = 8).
  Feedback: Correct answers, but include the steps for full marks.
  Score: 1.0 (0.5 final answer + 0.5 steps)

Overall Score: 10

Feedback Summary: Excellent work! All answers are correct, but some steps could be clearer (e.g., Questions 5, 8, 10). Practice writing out full equations for full clarity. Keep it up!