AMC 8 Problem Sets 2¶
1. Problem: Geometry of a Square¶
What is the area of a square with a perimeter of \( 24 \) units?
2. Problem: Coin Flip¶
A fair coin is flipped three times. What is the probability of getting exactly two heads?
3. Problem: Average of a Set¶
The average of five numbers is \( 20 \). If one of the numbers is removed, the average of the remaining four numbers is \( 15 \). What is the number that was removed?
4. Problem: Rectangle Area¶
A rectangle has a length of \( 8 \) units and a width of \( 5 \) units. What is the length of the diagonal of the rectangle?
5. Problem: Digit Sum¶
What is the sum of the digits of \( 2023 \)?
6. Problem: Time Problem¶
A clock shows 3:15. What is the angle between the hour hand and the minute hand?
7. Problem: Factors¶
How many positive divisors does \( 36 \) have?
8. Problem: Percentages¶
A shirt originally costs \( 40 \) dollars. After a \( 20\% \) discount, what is the price of the shirt?
9. Problem: Volume of a Box¶
A rectangular box has dimensions \( 4 \), \( 5 \), and \( 6 \). What is the volume of the box?
10. Problem: Arithmetic Sequence¶
In an arithmetic sequence, the first term is \( 2 \) and the common difference is \( 5 \). What is the 10th term of the sequence?
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