Word Problems — Quiz 1

Questions in this quiz (10)

1. Jordan is considering opening a smoothie stand at a local market. He estimates the monthly rent will be $$750$$, and the cost of ingredients and supplies will be $$300$$ per month. He plans to hire $$5$$ employees, each working $$100$$ hours per month at a rate of $$10$$ per hour.If he expects to sell $$2000$$ smoothies at $$6$$ each, will Jordan make a profit in the first month?

   • 5000
   • 5950
   • 6050
   • 12000

2. A machine sorts spherical rocks. Due to a mechanical problem, the machine drops half the spherical rocks per cycle. If the machine finishes its sixth cycle with 13 rocks still remaining in the machine, how many rocks were in the machine at the end of the first cycle?

   • 256
   • 416
   • 192
   • 1024

3. Seven students are sharing the cost of renting a study room. Each of them pays 18.00 dollars. If they want to reduce the cost per person to less than 10.00 dollars, how many additional students must join them? (Assume everyone pays an equal share.)

   • 6
   • 10
   • 13
   • 7

4. After a slower typist increased her typing speed by 20 percent, she was still 40 percent slower than a faster typist. Before the slower typist increased her speed, the faster typist’s speed was what percent of the slower typist’s original speed?

   • $$120%$$
   • $$200%$$
   • $$160%$$
   • $$250%$$

5. A strong wind pushes a runner back 1 foot for every 3 yards he runs forward. If he needs to cover a total of 600 yards and each stride takes him 6 yards, how many strides must he take to reach his goal?

   • 360
   • 113
   • 112.5
   • 1800

6. A hallway has a number of lockers. Counting from one end of the hallway, the locker labeled "A" is the 10th locker.Counting from the other end of the hallway, the same locker is the 17th. How many lockers are there in the hallway?

   • 9
   • 10
   • 17
   • 26

7. A cyclist rode for 1.5 hours at a speed of 60 miles per hour. Then, to conserve energy, the cyclist reduced their speed to 50 miles per hour and rode for 2 hours. After taking a 30-minute break, the cyclist resumed riding at 60 miles per hour for another 1 hour. What total distance did the cyclist travel?

   • 100
   • 90
   • 60
   • 250

8. The population of Growthville triples every 60 years. The number of people in Growthville this year is $$10^2$$.What will the population of Growthville be in 180 years?

   • 2700
   • 1800
   • 900
   • 9000

9. In $$2015$$, Mia invested $$1200$$ in a $$5$$-year certificate of deposit (CD) that pays her interest at an annual percentage rate (APR) of $$3%$$ compounded annually. This means the interest earned each year is added to the principal for the next year's calculation. The formula for compound interest is:$$FV = PV \cdot (1 + r)^t$$where $$FV$$ is the future value of the investment, $$PV$$ is the present value (initial deposit), $$r$$ is the annual interest rate (as a decimal), and $$t$$ is the number of years.Rounded to the nearest dollar, what will Mia’s balance be in $$2020$$ when the CD matures?

   • 1200
   • 1405
   • 1391
   • 1267

10. Jason is training for a cycling marathon. He begins by increasing the distance of his longest weekly ride by a constant amount. In the first week, he cycles up to 5 miles at a time. By the tenth week, his longest ride increases to 50 miles. Which of the following best describes how the distance of his longest ride changes between the first and tenth weeks?

    • Jason increases his longest ride by 5 miles each week.
    • Jason increases his longest ride by 4.5 miles each week.
    • Jason increases his longest ride by 4 miles each week.
    • Jason increases his longest ride by 3.75 miles each week.