Word Problems — Quiz 13

Questions in this quiz (10)

1. You can find the volume of an irregularly shaped solid object by completely submerging it in water and calculating the volume of water the object displaces. You completely submerge a solid object in a rectangular tank that has a base of 40 centimeters by 30 centimeters and is filled with water to a depth of 20 centimeters. The object sinks to the bottom, and the water level goes up 0.25 centimeters. What is the volume, in cubic centimeters, of the object?

   • 150
   • 240
   • 300
   • 200

2. 3 consecutive even integers are ordered from smallest to largest. 5 times the first integer is at least 9 more than the sum of the second and third integers. What is the minimum possible value for the second integer?

   • 5
   • 6
   • 8
   • 12

3. A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20 percent for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

   • 47.5
   • 54
   • 13.5
   • 33.7

4. A bag contains tomatoes that are either green or red. The ratio of green tomatoes to red tomatoes in the bag is 4 to 3. When five green tomatoes and five red tomatoes are removed, the ratio becomes 3 to 2. How many red tomatoes were originally in the bag?

   • 10
   • 15
   • 12
   • 20

5. If each digit in an integer is greater than the digit to the left, the integer is said to be monotonic. For example, 12 is a monotonic integer since 2>1. How many positive two-digit monotonic integers are there?

   • 15
   • 21
   • 27
   • 36

6. Two cars are racing at a constant speed around a circular racetrack. Car A requires 15 seconds to travel once around the racetrack, and car B requires 25 seconds to travel once around the racetrack. If car A passes car B, how many seconds will elapse before car A once again passes car B?

   • 75
   • 50
   • 100
   • 115

7. A rectangular fence covers an area of 85 plots. Each plot has an area of C. The width of one plot is 3 times its length, and the length is $$\frac{x}{C}$$. What is the positive value of $$x$$?

   • $$\frac{C}{\sqrt{3}}$$
   • $$\frac{1}{\sqrt{3}}$$
   • $$C^{3/2}\sqrt{3}$$
   • $$\frac{C^{3/2}}{\sqrt{3}}$$

8. A helicopter traveling from Minneapolis to Madison flies at 100 miles per hour. A plane traveling at 300 miles per hour leaves an hour after the helicopter and travels along the same route. How long will the helicopter have been traveling by the time that the airplane overtakes it, in hours?

   • $$1$$
   • $$1.5$$
   • $$2$$
   • $$2.5$$

9. Wei Yang started a savings plan by putting 2 coins in a money box every day. Each coin was either a 20¢ or 50¢ coin. His mother also put in a 1 dollar coin in the box every 7 days. The total value of the coins after 182 days was 133.90 dollars. How many of the coins were 50¢ coins?

   • $$364$$
   • $$247$$
   • $$117$$
   • $$390$$

10. Mei and Lin took part in a cycling race. Mei cycled at a speed of 20 km/h. Both of them did not change their speed throughout the race. When Lin covered $$\frac{1}{2}$$ of the distance, Mei was 3.5 km in front of her. Mei reached the finishing line at 10.45 a.m. What time did Lin reach the finishing line?

    • $$11:06$$ a.m
    • $$3:46$$ p.m
    • $$10:06$$ p.m
    • $$11:06$$ p.m