Percentages — Quiz 5

Questions in this quiz (9)

1. If the distance from Earth to the Moon is $$2.4 \times 10^5$$ miles and the distance from Mars to the Sun is $$1.5 \times 10^8$$ miles, what percent of the distance from Mars to the Sun is the distance from Earth to the Moon?

   • $$1.6%$$
   • $$0.16%$$
   • $$0.24%$$
   • $$2.4%$$

2. To create a larger size of a container, the height of a cylinder is increased by 50%. By what percent must the radius increase for the volume to double?

   • $$15.5%$$
   • $$1.155%$$
   • $$11.55%$$
   • $$13.5%$$

3. A school needs 20 volunteers for an event. The process involves selecting from a pool of students. Records show that only 50% of the students invited actually agree to volunteer, and of those who agree, 40% follow through and attend the event. If is trend continues, how many students should the school invite to have as close as possible to 20 volunteers at the event?

   • 80
   • 100
   • 120
   • 150

4. On Monday, the value of Linda's investment increased by 15%. On Tuesday, the value then decreased by 10%. By what total percent did the value of her investment change over these two days?

   • 3.5% increase
   • 2.5% increase
   • 1.5% increase
   • No change

5. During a sale, a furniture store offered a 30% discount on the original price of a sofa. Emily bought the sofa during the sale, but the cashier made a mistake. After applying the discount, the cashier calculated a 6% sales tax using the original price of the sofa instead of the discounted price. The amount by which Emily overpaid represents what percent of the original price of the sofa?

   • 1.8%
   • 2.1%
   • 2.4%
   • 3%

6. How many liters of a 90% sugar solution would you need to add to 4 liters of a 20% sugar solution to obtain a 50% sugar solution?

   • 1.5
   • 2
   • 2.5
   • 3

7. The salinity saturation of a tank is found by dividing the amount of salt the tank water currently has per liter by the maximum salt-holding capacity per liter of the tank water and then converting that number into a percentage. If the tank currently has $$7.2$$ grams of salt per liter of water and the maximum salt-holding capacity is $$10.8$$ grams per liter, what is the salinity saturation level of the tank, to the nearest percent?

   • $$65%$$
   • $$67%$$
   • $$75%$$
   • $$70%$$

8. The value of $$n$$ is decreased by $$40\%$$, then increased by $$40\%$$. Compared to its original value, the value of $$n$$ is now:

   • $$16%$$ smaller
   • $$20%$$ smaller
   • $$16%$$ larger
   • $$20%$$ larger

9. A salesperson receives a base salary of $$150$$ per week and a commission of $$8\%$$ on all sales. What must the total sales be in a week for the salesperson to earn $$410$$ in total weekly income?

   • 3250
   • 260
   • 410
   • 720