Word Problems — Quiz 10

Questions in this quiz (10)

1. On a faulty clock, the second hand passes the hour hand every 12 seconds and the minute hand every 18 seconds. Assuming all hands move at uniform speed in normal direction, how often does the minute hand pass the hour hand?

   • 32
   • 36
   • 18
   • 16

2. In a music club, members play either piano or guitar, but not both. Half the piano players and one-fourth of the guitar players play in duets. What fraction of all members are duet players?

   • $$\frac{1}{2p}$$
   • $$\frac{2p + g}{4(p + g)}$$
   • $$\frac{g}{2p}$$
   • $$\frac{2g}{p + g}$$

3. John has $$20$$ to spend on his school lunch each week. A meal costs $$3$$ and a milk costs $$0.50$$. If he purchases one meal each day on Monday through Friday, what is the greatest number of milks he could purchase that week given his budget?

   • 5
   • 10
   • 12
   • 15

4. A school fundraiser sells T-shirts for $$8$$ each and wristbands for $$2$$ each. In one week, the school sells a total of $$500$$ items and collects $$2200$$ in total sales.How many wristbands were sold?

   • 220
   • 450
   • 550
   • 300

5. In store X, 4 out of every 5 items are sold at a discount. In store Y, 2 out of every 7 items are sold at a discount. If each store sells a total of 280 items (including both discounted and full-price items), how many more discounted items will there be in store X than in store Y?

   • 130
   • 135
   • 144
   • 152

6. A freelance designer earns 40 dollars per hour plus a 3,000 dollars bonus at the end of the year. Which inequality represents the number of hours, $$h$$, the designer must work to earn at least 45,000 dollars in total compensation?

   • $$45000 \le 40h + 3000$$
   • $$45000 \ge 40h - 3000$$
   • $$45000 \ge -40h + 3000$$
   • $$45000 \le 40h - 3000$$

7. A game consists of throwing a dart into a target divided into 2 sections. The inner section rewards a player with 5 points, while the outer section gets him 3 points. Kurt throws 6 darts and hits the inner section $$x$$ times. What is Kurt's total score in terms of $$x$$?

   • $$2x + 18$$
   • $$8x + 14$$
   • $$8x - 14$$
   • $$8x + 4$$

8. In 2017, the number of people who had access to the internet in a country was 3.2 million. If this number grows at a rate of 18 percent each year, which expression best describes the number of people $$y$$, in million, having access to the internet $$x$$ years after 2017?

   • $$y = 0.18x+32$$
   • $$y = 3.2(1.18)^x$$
   • $$y = 3.2x+32$$
   • $$y = 2(0.18)^x$$

9. A library sells new and used books. If, out of the total of 474, there are twice as many new books as old ones, how many new books are there in the library?

   • 355
   • 238
   • 160
   • 316

10. The selling price of an apartment is directly proportional to its area. If an apartment of 127 sqm is sold for 168,275 dollars, what would be the price of a 156 sqm apartment?

    • 208,900
    • 136,793
    • 256,800
    • 206,700