Practice Set 2
- Problem #1: Each digit in the number 2008 is written on a different card. If you choose three different cards, what is the probability that their product is 0?
- Problem #2: Chuck rolls a standard six-sided die twice. What is the probability that he rolls exactly one 3? Express your answer as a common fraction.
- Problem #3: Let A equal the number of square feet in the area of the triangle with the side lengths shown. What is A2?
- Problem #4: Farmer Foozy has pigs and cows on his farm. If he had 7 more pigs and 20 more cows, the ratio of pigs to cows on his farm would be 1:2. If, on the other hand, he had 7 more pigs and no more cows, the ratio of pigs to cows on his farm would be 3:2. How many pigs does Farmer Foozy have?
- Problem #5: Chuck is back with the dice! He rolls two standard six-sided dice. What is the probability that the sum of the two numbers he rolls is not 12? Express your answer as a common fraction.
- Problem #6: A secret integer N has 12 factors, including 10 and 45. What is N?
- Problem #7: What is the sum of the prime numbers between 20 and 40?
- Problem #8: When Farmer Foozy died, he left his 300 acres of land to be divided among his children Boozy, Doozy, and Woozy in a proportion of 3:5:7, respectively. How many acres of land should Woozy receive?
- Problem #9: You--a kind, generous soul--want to donate 3 hats and 3 scarves to the Salvation Army. In your closet, you have a total of 8 hats and 6 scarves. In how many ways can you choose 3 hats and 3 scarves to donate?
- Problem #10: Two numbers are called "mirror numbers" if the digits of the two numbers are in reverse order. For instance, 159 and 951 are mirror numbers. I'm thinking of two 3-digit mirror numbers, A and B, where A is less than B. The sum of A and B is 625. The sum of the hundreds digit and ones digit of A is 5. What is the tens digit of B?
Solutions
