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

Answer: 17/5

Question 2: Express the improper fraction 11/4 as a mixed number.

Answer: 2 3/4

Question 3: Calculate: 2 1/3 + 4 2/5. Show your working.

Answer: 17/3 + 22/5 = (85/15) + (66/15) = 151/15 = 10 11/15

Question 4: Subtract: 5 1/4 - 2 2/3. Show your working.

Answer: 21/4 - 8/3 = (63/12) - (32/12) = 31/12 = 2 7/12

Question 5: A recipe calls for 2 3/4 cups of sugar. Convert this to an improper fraction.

Answer: 11/4

Question 6: A student has 4 2/3 meters of ribbon. How many meters is this as an improper fraction?

Answer: 14/3

Question 7: Calculate: 7/8 + 2 1/4. Show your working.

Answer: 7/8 + 9/4 = (7/8) + (18/8) = 25/8 = 3 1/8

Question 8: A box contains 5 1/2 kg of apples. Convert this to an improper fraction.

Answer: 11/2

Question 9: Estimate the sum of 3 2/7 and 4 5/6 by rounding to the nearest whole number.

Answer: 8

Question 10: A recipe requires 1 3/8 cups of flour. Convert this to an improper fraction.

Answer: 11/8

Question 11: Identify and correct the mistake in converting 2 3/4 to an improper fraction: 2/4 + 3.

Answer: Incorrect because 2 3/4 = (2×4 + 3)/4 = 11/4, not 2/4 + 3.

Question 12: Construct a triangle with sides of 2 1/2, 3 2/3, and 4 1/4 units. Show your work on the grid.

Answer: Students draw on grid; no numerical answer