Word Problems — Quiz 6

Questions in this quiz (10)

1. A group of 1170 scouts form two square formations for a drill session. One square has 6 more scouts on each side than the other. How many scouts are on each side of the two square formations?

   • Smaller square side = $$21$$; Larger square side = $$27$$
   • Smaller square side = $$42$$; Larger square side = $$36$$
   • Smaller square side = $$12$$; Larger square side = $$24$$
   • Smaller square side = $$6$$; Larger square side = $$12$$

2. A trader bought a book for $$y$$ dollars and sold it for $$24$$ dollars. If his gain was $$y\%$$, find the cost price of the book.

   • 10
   • 20
   • 24
   • 40

3. A car, starting at rest, accelerates and reaches a speed of 20 meters per second after 5 seconds. What was the car’s rate of acceleration in meters per second squared?

   • 2
   • 3
   • 4
   • 5

4. Maria has 10 liters of a 30% sugar solution. How many liters of a 70% sugar solution must be added to create a 50% sugar solution?

   • 5
   • 7
   • 10
   • 20

5. Liam has a bag containing 25 balls numbered from 1 to 25. If he randomly picks one ball, what is the probability that the number on the ball is greater than 18?

   • $$\frac{18}{25}$$
   • $$\frac{9}{25}$$
   • $$\frac{7}{25}$$
   • $$\frac{21}{25}$$

6. Lucas is taller than Brian but shorter than Kevin. Kevin is taller than Sarah but shorter than James. If Sarah is taller than Brian, which two people could be the same height?

   • Lucas and James
   • Sarah and Lucas
   • Kevin and Brian
   • Sarah and James

7. Rico has seven coins in his pocket, all of which are nickels or quarters. If Rico has \$0.95 in his pocket, how many nickels and how many quarters are in his pocket?

   • $$3 \text{ nickels and } 3 \text{ quarters}$$
   • $$4 \text{ nickels and } 3 \text{ quarters}$$
   • $$3 \text{ nickels and } 2 \text{ quarters}$$
   • $$2 \text{ nickels and } 3 \text{ quarters}$$

8. There are 85 students in eighth grade at Hillcrest Academy. Each student takes art, music, or both. If 52 students take art and 47 take music, how many students take only art?

   • 33
   • 5
   • 14
   • 38

9. The number of bacteria in a dish triples every hour. If there are 10 bacteria now, how many bacteria will there be after three hours?

   • 900
   • 300
   • 270
   • 90

10. Nina has 200 Dollars in her savings account. Each week, she deposits 30 Dollars and then spends one-fifth of the total amount. How much money does Nina have in her account after four weeks?

    • 152.77
    • 200.30
    • 160.96
    • 171.20