Question 1: Calculate: \( \frac{3}{4} \div \frac{2}{5} \).

Answer: 15/8

Question 2: Simplify the expression: \( \frac{7}{8} \div \frac{14}{9} \).

Answer: 27/16

Question 3: Calculate: \( \frac{5}{6} \div \frac{10}{12} \).

Answer: 1/2

Question 4: A recipe requires \( \frac{2}{3} \) of a cup of sugar. If you want to make a half-sized version, how much sugar do you need? (Divide the original amount by 2).

Answer: 1/3

Question 5: Construct a triangle on the grid with sides \( \frac{2}{5} \), \( \frac{3}{4} \), and \( \frac{7}{10} \). Label the sides.

Answer: See full answer key

Question 6: A student divides \( \frac{9}{10} \) by \( \frac{3}{5} \). Show your working and give the answer in simplest form.

Answer: 3/2

Question 7: Solve: \( \frac{11}{15} \div \frac{22}{45} \).

Answer: 3/2

Question 8: A painter needs to mix \( \frac{4}{7} \) litre of blue paint with \( \frac{5}{14} \) litre of yellow paint. How much yellow paint is required to double the amount of blue paint used? (Multiply \( \frac{4}{7} \) by 2, then divide \( \frac{10}{7} \) by \( \frac{5}{14} \).)

Answer: 4

Question 9: Identify and correct the mistake in this calculation: \( \frac{5}{8} \div \frac{2}{3} = \frac{5}{8} \times \frac{3}{2} = \frac{15}{16}.

Answer: The calculation is correct.

Question 10: Challenge: If \( \frac{2}{3} \) of a quantity is divided by \( \frac{4}{5} \), what is the resulting expression in simplest form? Express as a fraction.

Answer: 5/6

Question 11: Plot the graph of \( y=2x \) on the grid provided.

Answer: See full answer key