Question 1: Convert the mixed number 3 2/5 into an improper fraction.

Answer: 17/5

Question 2: Convert the improper fraction 11/4 into a mixed number.

Answer: 2 3/4

Question 3: Calculate: (2 1/3) + (3 2/5). Show your working.

Answer: 8 8/15

Question 4: Subtract: 5 3/4 - 2 2/3. Show your working.

Answer: 3 1/12

Question 5: Express 7/4 as a mixed number.

Answer: 1 3/4

Question 6: A recipe calls for 2 1/2 cups of sugar. Convert this to an improper fraction.

Answer: 5/2

Question 7: A student incorrectly converts 4 2/3 to 14/3. Identify the error and correct it.

Answer: The error is in the mixed number to improper fraction conversion. Correct conversion: 4 2/3 = (4×3 + 2)/3 = 14/3. The student’s conversion is correct; if they wrote a different incorrect conversion, they should be identified and corrected accordingly.

Question 8: Calculate: (5 1/4) - (1 2/3). Show your working.

Answer: 3 5/12

Question 9: Plot the graph of y = 2x for x values from 0 to 5 on the grid.

Answer: Students will plot points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10) on the grid.

Question 10: Construct a triangle on the grid with sides measuring 3 1/2 and 4 2/3 units, with the third side 5 units. Show the construction steps.

Answer: Students will draw the triangle using the given side lengths, employing the compass and ruler on the grid.

Question 11: Convert 9/4 into a mixed number and then perform the addition with 2 1/2. Show your working.

Answer: 2 1/4 + 2 1/2 = 4 3/4