Question 1: Calculate the perimeter of a square with side length 7 cm.

Answer: 28

Question 2: What is the area of a square that has a diagonal length of 10√2 cm?

Answer: 50

Question 3: Construct a square with a side length of 6 cm on the grid. Calculate its area.

Answer: 36

Question 4: Identify the incorrect statement about squares: A) All sides are equal. B) Opposite angles are supplementary. C) Diagonals bisect each other at right angles. D) All angles are 90°.

Answer: B

Question 5: A square has a perimeter of 48 cm. What is the length of one side? Show your working.

Answer: 12

Question 6: Explain why a rectangle with all sides equal is a square. Include at least two properties that confirm this.

Answer: Because a rectangle with four equal sides satisfies the definition of a square, which has four right angles and four equal sides.

Question 7: A garden is shaped like a square with a side length of 15 meters. If a path runs along the perimeter, how many meters of fencing are needed? Show your working.

Answer: 60

Question 8: If the diagonals of a square are each 12 cm long, what is the length of each side? Show your working.

Answer: 6√2

Question 9: A student claims that all squares are rectangles, but not all rectangles are squares. Is this statement correct? Justify your answer.

Answer: Yes, because all squares have right angles like rectangles, but rectangles do not necessarily have four equal sides.

Question 10: A square's side length is increased by 4 cm, making the new square's perimeter 48 cm. Find the original side length and explain your steps.

Answer: 8

Question 11: Identify and correct the mistake in this statement: "A square has four sides, all of which are equal, and its diagonals bisect each other at right angles, but the diagonals are always longer than the sides."

Answer: The diagonals are longer than the sides, but they are not necessarily longer; their length depends on the side length. The statement is partly correct but needs clarification.