Value Comparison Problems Flashcards

Which is larger: 2/3 of 90, or 3/4 of 80?

Answer: They are equal

2/3 × 90 = 60 and 3/4 × 80 = 60, so both expressions equal 60.

Compare 4! (4 factorial) and 25. Which is greater?

Answer: 25

4! = 4 × 3 × 2 × 1 = 24, which is less than 25.

In a class, 40% of 50 students passed. In another class, 35% of 60 students passed. Which class had more students pass?

Answer: Second class (21 students)

40% of 50 = 20 students; 35% of 60 = 21 students, so the second class had more pass.

Compare: 0.1^2 vs. 0.01. Which is larger?

Answer: They are equal

0.1^2 = 0.01, which equals 0.01 exactly.

Which expression has the greatest value: 10% of 500, 20% of 240, or 50% of 100?

Answer: 10% of 500 (50)

10% of 500 = 50, 20% of 240 = 48, 50% of 100 = 50; first and third tie but 48 < 50.

Person A earns $15/hour and works 8 hours. Person B earns $12/hour and works 11 hours. Who earns more?

Answer: Person B ($132)

Person A earns $15 × 8 = $120; Person B earns $12 × 11 = $132, so Person B earns more.

Compare: the average of {4, 8, 12} vs. the average of {5, 7, 12}. Which is greater?

Answer: They are equal

(4+8+12)/3 = 24/3 = 8 and (5+7+12)/3 = 24/3 = 8, so both averages are equal.