Question 1: Calculate: \( \frac{3}{4} \div \frac{1}{2} \).

Answer: 3/2

Question 2: Calculate: \( \frac{5}{8} \div \frac{2}{3} \).

Answer: 15/16

Question 3: If you divide \( \frac{7}{10} \) by \( \frac{3}{5} \), what is the result?

Answer: 7/6

Question 4: Construct a triangle on the grid such that one side is \( \frac{2}{3} \) of the length of the other side.

Answer: Students will draw on grid

Question 5: Plot the graph of y = \( 2 \times x \) on the grid.

Answer: Students will plot points

Question 6: A recipe calls for \( \frac{3}{4} \) cup of sugar. If you want to make half the recipe, how much sugar do you need?

Answer: 3/8 cups

Question 7: A car travels \( \frac{3}{5} \) km in 1/4 hour. How far does it travel in 1 hour?

Answer: 12 km

Question 8: Calculate: \( \frac{9}{10} \div \frac{3}{5} \).

Answer: 3/2

Question 9: Divide \( \frac{4}{9} \) by \( \frac{2}{3} \). Show your working.

Answer: 4/9 ÷ 2/3 = 4/9 × 3/2 = 12/18 = 2/3

Question 10: A swimming pool is \( \frac{5}{6} \) full. If \( \frac{2}{3} \) of the water is drained, what fraction of the pool remains?

Answer: 1/2

Question 11: Identify and correct the mistake: \( \frac{2}{3} \div \frac{4}{5} = \frac{2}{3} × \frac{4}{5} = \frac{8}{15} \).

Answer: Incorrect; division should be kept as flip multiply: \( \frac{2}{3} ÷ \frac{4}{5} = \frac{2}{3} × \frac{5}{4} = \frac{10}{12} = \frac{5}{6} \).