Question 1: Calculate the square of 8.

Answer: 64

Question 2: What is the perfect square closest to 50?

Answer: 49

Question 3: Identify whether 81 is a perfect square.

Answer: Yes

Question 4: Construct a square with sides of length 6 units on the grid. How many unit squares are inside this square?

Answer: 36

Question 5: Plot the graph of y = x² for x from 1 to 5.

Answer:

Question 6: Identify the pattern in the sequence: 1, 4, 9, 16, 25, ... What is the next number?

Answer: 36

Question 7: A rectangular garden measures 4 meters by 4 meters. If the lawn area is a perfect square and covers the entire garden, how many square meters does the lawn cover?

Answer: 16

Question 8: Identify the mistake in this reasoning: 'Since 7² = 49, then 7 is a perfect square.'

Answer: 7 is not a perfect square; 49 is a perfect square.

Question 9: What is the smallest perfect square greater than 100?

Answer: 121

Question 10: Estimate whether 150 is a perfect square. Justify your answer.

Answer: No, because 12²=144 and 13²=169; 150 lies between these squares.

Question 11: Identify the common mistake: Students often think that since 5²=25, then 5 is a perfect square. Correct this misconception.

Answer: 5 is not a perfect square; 25 is a perfect square of 5.

Question 12: Challenge: Find all perfect squares between 20 and 100.

Answer: 25, 36, 49, 64, 81