Question 1: Calculate the straight-line distance between two points: Point A at (2, 3) and Point B at (8, 7).

Answer: 8

Question 2: A recipe requires a rectangular baking tray that measures 12 cm by 9 cm. Calculate the length of the diagonal to find the maximum distance between two corners.

Answer: 15

Question 3: Plot the graph of y = 2x for x from 0 to 10. (Use the grid to draw the line).

Answer: Students draw the line

Question 4: Construct a right-angled triangle on the grid with legs measuring 6 cm and 8 cm. Find the hypotenuse length.

Answer: 10

Question 5: A baker decorates a rectangular cake 15 cm long and 10 cm wide. To add a decorative ribbon diagonally across the cake, what is the length of the ribbon?

Answer: 18.03

Question 6: A rectangular plate measures 20 cm by 16 cm. What is the diagonal distance across the plate?

Answer: 25.3

Question 7: A recipe calls for a rectangular baking sheet with a diagonal length of 25 cm. If the length is 17 cm, what is the width of the baking sheet?

Answer: 14

Question 8: A chef needs to cut a slanting piece of a rectangular wooden board measuring 24 cm by 7 cm to fit into a corner. What is the length of the cut needed?

Answer: 25

Question 9: Identify and correct the mistake: A student calculates the diagonal of a 9 cm by 12 cm rectangle as 15 cm using the Pythagorean theorem. Is this correct? Explain.

Answer: Yes, it's correct because √(9² + 12²) = √(81 + 144) = √225 = 15.

Question 10: A rectangular recipe box measures 18 cm by 10 cm. A ribbon is tied diagonally across for decoration. Calculate the length of the ribbon.

Answer: 20.88

Question 11: A rectangular baking pan is 14 cm long and 9 cm wide. A diagonal is cut to help remove a cake. What is the length of this diagonal?

Answer: 17.57