Question 1: A bag contains 12 red balls and 8 blue balls. What fraction of the balls are red?

Answer: 12/20

Question 2: Express the ratio 15:25 as a simplified fraction of the part relative to the whole.

Answer: 15/40

Question 3: If 30% of a class of 40 students are girls, what part of the class are girls expressed as a fraction?

Answer: 12/40

Question 4: Calculate the part (as a fraction) of 90 that 27 represents.

Answer: 27/90

Question 5: A recipe calls for 200g of sugar, which is 1/4 of the total ingredients. What is the total weight of all ingredients?

Answer: 800g

Question 6: In a survey, 60% of respondents prefer tea over coffee. If 180 people prefer tea, what part of the total respondents do they represent?

Answer: 3/5

Question 7: Construct a triangle on the grid with angles measuring 30°, 60°, and 90°. (Draw using the grid.)

Answer: Student draws on grid

Question 8: A school has a ratio of 3:2 boys to girls. If there are 60 boys, what fraction of the total students are girls?

Answer: 2/5

Question 9: A car's fuel efficiency is 15 km per litre. If the tank contains 40 litres, what part of a 600 km journey can be completed on a full tank?

Answer: 10/15

Question 10: A student incorrectly states that the part of a whole represented by 25/100 is 1/4. Identify and correct the mistake.

Answer: The mistake is that 25/100 simplifies to 1/4, but as part of a whole, it correctly represents one-quarter, so the statement is actually correct. The error is in thinking it's incorrect.

Question 11: If 45% of a group of 120 people are employed, what fraction of the group does this represent?

Answer: 54/120

Question 12: Express the ratio 8:12 as a simplified fraction of the part relative to the whole.

Answer: 8/20