Question 1: Calculate: (3/4) × (2/5).

Answer: 3/10

Question 2: Divide: (7/8) ÷ (3/4).

Answer: 14/9

Question 3: Simplify the expression: (5/6) ÷ (10/12).

Answer: 1

Question 4: Construct a triangle on the grid such that one side is 3 units long, and another side is twice that length. Show the construction.

Answer: Student draws an accurate triangle with sides 3 and 6 units.

Question 5: Plot the graph of y= (1/2) × x on the provided grid.

Answer: Student plots the line correctly passing through (0,0) and (2,1).

Question 6: A recipe uses 3/4 cup of sugar per batch. If a baker wants to make 6 batches, how much sugar is needed? Express your answer as a fraction.

Answer: 9/2 cups

Question 7: A car travels 3/5 of a mile per minute. How far does it travel in 8 minutes? Show your working.

Answer: 24/5 miles

Question 8: Identify and correct the mistake in this calculation: (2/3) ÷ (4/5) = (2/3) × (4/5) = 8/15.

Answer: Incorrect; division should be (2/3) ÷ (4/5) = (2/3) × (5/4) = 10/12 = 5/6.

Question 9: Calculate: (9/10) ÷ (3/7).

Answer: 21/10

Question 10: A painter mixes 2/3 of a liter of blue paint with 1/4 liter of yellow paint. How much paint is there in total? Express your answer as a mixed number or fraction.

Answer: 11/12 liters

Question 11: Challenge: If (x/5) ÷ (2/3) = 4/5, find the value of x.

Answer: 8