Question 1: Add the mixed numbers: 2 1/4 + 3 3/4. Show your working.

Answer: 6

Question 2: Calculate: 5 2/7 + 4 3/7.

Answer: 9

Question 3: Construct the sum of 1 1/2 and 2 2/2 on the grid.

Answer: 4 1/2

Question 4: Identify and correct the mistake in this addition: 3 1/3 + 2 1/3 = 5 2/3.

Answer: The mistake is that 1/3 + 1/3 = 2/3, so the sum is 5 2/3, which is correct. But if a student wrote 5 1/3, they are incorrect. The correction is to add the fractions properly.

Question 5: Add: 4 3/5 + 1 4/5. Show your detailed work.

Answer: 6 1/5

Question 6: A recipe requires 1 2/3 cups of sugar and 2 1/3 cups of flour. How much combined ingredient is needed?

Answer: 4

Question 7: A student adds 2 3/4 and 3 2/4 but gets 6 1/2. What mistake did they likely make?

Answer: They may have added the fractions incorrectly, for example, 3/4 + 2/4 = 5/4 (which is 1 1/4), not 1/2, and perhaps did not convert mixed numbers properly.

Question 8: Add: 7 1/2 + 2 1/2. Write the answer in mixed number form.

Answer: 10

Question 9: Solve: 3 2/3 + 4 2/3. Show your detailed working.

Answer: 8 1/3

Question 10: Plot the graph of y = 2x for x values from 0 to 5 on the grid.

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

Question 11: Construct a triangle with sides 3 1/2, 4 1/2, and 5. Show the construction steps.

Answer: Students draw on grid, ensuring side lengths are accurate, with step-by-step construction.

Question 12: Identify the common misconception in adding mixed numbers and explain how to avoid it.

Answer: Many students forget to convert mixed numbers to improper fractions before adding, leading to incorrect sums. To avoid this, always convert mixed numbers to improper fractions, add, then convert back.