#1: Two employees join a company at the same salary. Employee A gets a 10% pay raise in her first year and a $20,000/year pay raise a year later. Employee B gets a 20% pay raise after her first year and a $10,000/year pay raise a year later. Who ends up with a bigger salary at the start of the third year? A. Employee A B. Employee B C. They have the same salary D. We cannot answer this question without knowing what the starting salary is #2: An average candy bar contains about 250 calories. The average American consumes about 700,000 calories per year. Suppose we make a scale model in which 250 calories equals six inches (the length of a typical candy bar). About how many miles would represent 700,000 calories? A. 1/8 of a mile B. 1/4 a mile C. 1/2 a mile D. 1 mile #3: If the population of a country rose in the 1990s from 9 million to 11.4 million people, then the percentage increase, expressed with appropriate precision, is A. 20% B. 22% C. 27% D. 30% #4: According to the website http://sportsillustrated.cnn.com/football/ 2002/playoffs/news/2002/01/24/sb_tix_prices/, Super Bowl tickets cost just $20 in 1975, 1976, and 1977. In 2002, Super Bowl tickets cost $400. If we create a "Super Bowl Price Index (1975-1977 = 100)", what was the "SBPI" for the year 2002? A. 2.0 B. 20.0 C. 200.0 D. 2000.0 #5: An experimental technique for diagnosing prostate cancer is 95% accurate for men with prostate cancer, and 90% accurate for men without prostate cancer. That is, 95% of men with prostate cancer will test positive, and 90% of men without prostate cancer will test negative. Assume that, of the men who take the test, 5% have prostate cancer. If you take the test, and it comes back positive, what is the chance that you have prostate cancer? A. 10% B. 33% C. 67% D. 90% #6: Butch deposits his money in the Cassidy Bank, compounded annually at an APR of 12%. John deposits the same amount in the Dillinger bank, compounded quarterly at an APR of 12%. After a year, they switch: Butch transfers his money to the Dillinger bank, and John transfers his money to the Cassidy bank. After the second year, who has more money? A: Butch has more. B: John has more. C: They both have the same amount (if we ignore slight possible tiny discrepancies caused by rounding to the nearest cent). D: It is impossible to tell based on the information provided. #7: How much money should you deposit monthly into a bank that offers an APR of 12% compounded monthly if you want to have $1000 in your account after you make your third deposit? A. $300 B. $310 C. $320 D. $330 #8: Frankie and Johnny are buying homes. Their homes cost the same amount, but Frankie has a 15-year mortgage with an APR of 12% while Johnny has a 30-year mortgage with an APR of 6%. How will their monthly mortgage payments compare? A. Frankie's payments will be about the same as Johnny's. B. Frankie's payments will be about twice Johnny's. C. Frankie's payments will be about half of Johnny's. D. It is impossible to decide from the given information.