Word Problems — Quiz 7

Questions in this quiz (10)

1. Liam and Noah share a glove drawer which contains 6 pairs of red gloves, 15 pairs of blue gloves, and 14 pairs of green gloves. If each boy selects a pair of gloves from the drawer to wear, what is the probability that Liam selected a blue pair and Noah selected a green pair?

   • $$\frac{29}{34}$$
   • $$\frac{14}{34}$$
   • $$\frac{15}{35}$$
   • $$\frac{21}{119}$$

2. Four sides of a cube are painted green, one side is painted orange, and one side is painted purple. The cube is rolled once. What is the probability that the cube will land on a green side?

   • $$\frac{1}{3}$$
   • $$\frac{2}{3}$$
   • $$\frac{1}{2}$$
   • $$\frac{5}{6}$$

3. Maria walks dogs in her neighborhood. On Monday, her first walk is 0.9 miles, her second is 1.5 miles, her third is 1.2 miles, her fourth is 0.9 miles, her fifth is 1.7 miles, her sixth is 1.5 miles, her seventh is 0.9 miles, her eighth is 1.2 miles, and her ninth is 1.5 miles. What is the most common distance Maria walks?

   • 1.2
   • 1.5
   • 1.7
   • 1

4. A movie theater sells child tickets and adult tickets. The ratio of child tickets sold to adult tickets sold is 5:9. If the theater sold 90 adult tickets, how many total tickets did it sell?

   • 140
   • 450
   • 81
   • 50

5. A runner and a walker travel 12 miles from point X to point Y. The runner runs at 12 miles per hour while the walker walks at 6 miles per hour. The runner rests for 3 minutes after every $$y$$ minutes of running. The walker does not stop. They both reach the finish line at the same time. Find the range of $$y$$.

   • 2
   • 3
   • 6
   • 9

6. A worker in a toy factory can make 60 toy cars or 120 toy wheels per day. There are 120 workers in total. How many workers should make toy wheels?

   • 24
   • 36
   • 28
   • 80

7. A store purchases smartphones for 600 dollars each. The regular selling price is 900 dollars. To boost sales, the store decides to offer a discount but still wants to make at least a 10% profit. What is the maximum discount rate the store can offer?

   • $$24.00\%$$
   • $$66.67\%$$
   • $$33.00\%$$
   • $$26.67\%$$

8. Liam missed a history test. When he took it and scored 95, the class average rose from 76 to 77. How many students, including Liam, took the test?

   • 19
   • 18
   • 17
   • 16

9. Samantha jogs from her house to a park at a steady speed. On her return, she jogs 25% faster and gets back 15 minutes quicker. How long did she spend jogging in total?

   • 135
   • 75
   • 125
   • 65

10. An accurate clock shows exactly 2 p.m. In how many minutes will the minute hand catch up with the hour hand?

    • $$\frac{25}{11}$$
    • $$\frac{25}{2}$$
    • $$\frac{120}{11}$$
    • $$\frac{60}{11}$$