Review Comments of Math Practice Questions 20/07/2025

Here’s the scoring and feedback for each question:

Question 1

Answer: Width = 8, Length = 19
Steps: Correctly solved with clear algebra.
Feedback: Perfect! You set up and solved the equation accurately.
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 2

Answer: 4 in the first half and 7 in the second half
Steps: Correct logic (balancing the extra goals).
Feedback: Well done! Your method of adjusting for the extra goals is spot-on.
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 3

Answer: Aristotle has 8 books and Plato has 16 books
Steps: Correct division (treating Plato as twice Aristotle).
Feedback: Excellent! You handled the ratio perfectly.
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 4

Answer: E=4, D=8
Steps: Correct substitution and solving.
Feedback: Great job solving the simultaneous equations!
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 5

Answer: They won 3 matches
Steps: Correct logic (comparing draws to wins).
Feedback: Clever approach with the point difference!
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 6

Answer: 2S+5
Steps: Correct expression for combined scrolls.
Feedback: Perfectly translated the word problem into algebra.
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 7

Answer: 5x-2
Steps: Correctly simplified the expression.
Feedback: Nicely combined like terms!
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 8

Answer: (x+5)(x+2)
Steps: Correctly factored (finding numbers that multiply to 10 and add to 7).
Feedback: Spot-on factorisation!
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 9

Answer: Aristotle is 15 at the time
Steps: Correctly reversed the operations.
Feedback: Flawless solving of the equation!
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Question 10

Answer: C=4, S=7
Steps: Correct substitution and solving.
Feedback: Excellent work with simultaneous equations again!
Score: 1.0 (0.5 Final Answer + 0.5 Solving Steps)

Overall Score: 10

Feedback: Perfect score! Every answer and step was correct. Keep up the fantastic work! 🎉