Mathematics Problem Solving Quiz

A college’s intramural soccer team has 30 players, 60% of which are women. After 22 new players joined the team, the percentage of women was reduced to 50%. How many of the new players are women?

• 5

• 6

• 7

• 8

Miguel takes out a loan that adds interest each year on the initial amount. What is the interest Miguel will pay on the loan if he borrowed $5,000 at an annual interest rate of 4.5% for 15 years? (Use the formula I = Prt, where I is the interest, P is the principal or initial investment, r is the interest rate per year, and t is the number of years.)

• $3,375

• $3,500

• $3,750

• $4,000

Massimo lost his mathematics textbook. The school charges a lost book fee of 70% of the original cost of the book. If Massimo received a notice he owed the school $73.50 for the lost textbook, what was the original cost?

• $100

• $105

• $110

• $115

SurfPro Shop and The Surfer Store both sold surfboards for $350. In February, SurfPro Shop increased their prices by 15%. When this increase failed to bring in more money, they decreased their price again by 10% in November. To beat their competitor who had increased prices, The Surfer Store decided to decrease their price of surfboards by 10% in March. However, when they started to lose money on the new pricing scheme, they increased the price of surfboards in November by 15%. If no other changes were made after November, which store now has the better price for surfboards?

• SurfPro Shop

• The Surfer Store

• Both have the same price

• Cannot be determined

What is the difference between the prices of surfboards at SurfPro Shop and The Surfer Store after the changes in November?

• $5

• $10

• $15

• $20