1. If an athlete’s weight decreased from \(\)160\(\) pounds to \(\)152\(\) pounds, what was the percent decrease in the athlete’s weight?

2. Emma spent $\(\)75\(\) buying a used bicycle and $\(\)27\(\) repairing it. Then she sold the bicycle for \(\)40\(\) percent more than the total amount she spent buying and repairing it.

Quantity A |
Quantity B |

The price at which Emma sold the bicycle | \(\)140\(\) |

3. In \(\)2009\(\) the property tax on each home in Town \(\)X\(\) was \(\)p\(\) percent of the assessed value of the home, where \(\)p\(\) is a constant. The property tax in \(\)2009\(\) on a home in Town \(\)X\(\) that had an assessed value of $\(\)125000\(\) was $\(\)2500\(\).

Quantity A |
Quantity B |

The property tax in \(\)2009\(\) on a home in Town \(\)X\(\) that had an assessed value of $\(\)160000\(\) | \(\)3000\(\) |

4. A particular stock is valued at $\(\)40\(\) per share. If the value increases by \(\)20\(\) percent and then decreases by \(\)25\(\) percent, what will be the value of the stock per share after the decrease?

5. If the ratio of the number of men to the number of women on a committee of \(\)20\(\) members is \(\)3\(\) to \(\)2\(\), how many members of the committee are women?

6. If the ratio of \(\)2x\(\) to \(\)5y\(\) is \(\)3\(\) to \(\)4\(\), what is the ratio of \(\)x\(\) to \(\)y\(\)?

7.

In the figure, what is the value of y if \(\)x:y = 2 : 3\(\) ?

(A) \(\)16\(\)

(B) \(\)32\(\)

(C) \(\)48\(\)

(D) \(\)54\(\)

(E) \(\)72\(\)

8. The ratio of the sum of the reciprocals of \(\)x\(\) and \(\)y\(\) to the product of the reciprocals of \(\)x\(\) and \(\)y\(\) is \(\)1 : 3\(\). What is sum of the numbers \(\)x\(\) and \(\)y\(\)?

(A) \(\)1/3\(\)

(B) \(\)1/2\(\)

(C) \(\)1\(\)

(D) \(\)2\(\)

(E) \(\)4\(\)

9. The ratio of the number of chickens to the number of pigs to the number of horses on Richard’s farm is \(\)33 : 17 : 21\(\). What fraction of the animals are either pigs or horses?

(A) \(\)16/53\(\)

(B) \(\)17/54\(\)

(C) \(\)38/71\(\)

(D) \(\)25/31\(\)

(E) \(\)38/33\(\)

10. The savings from a person’s income is the difference between his income and his expenditure. The ratio of the incomes of Marc and his boss are in the ratio \(\)3 : 4\(\). Their respective expenditures ratio is \(\)1 : 2\(\).

Quantity A |
Quantity B |

The savings from income of Marc | The savings from income of Marc’s Boss |

11.

In the figure, the ratio of the area of parallelogram \(\)ABCD\(\) to the area of rectangle \(\)AECF\(\) is \(\)5 : 3\(\). What is the area of the rectangle \(\)AECF\(\) ?

(A) \(\)18\(\)

(B) \(\)24\(\)

(C) \(\)25\(\)

(D) \(\)50\(\)

(E) \(\)54\(\)

12. \(\)250\(\)% of \(\)x\(\) is increased by \(\)250\(\)% to become \(\)350\(\). What is the value of \(\)x\(\)?

13. Greta’s salary is \(\)x\(\) thousand dollars per year, and she receives a \(\)y\(\)% raise. Annika’s salary is \(\)y\(\) thousand dollars per year, and she receives an \(\)x\(\)% raise. \(\)x\(\) and \(\)y\(\) are positive integers.

Quantity A |
Quantity B |

The dollar amount of Greta’s raise | The dollar amount of Annika’s raise |

14. What is \(\)230\(\)% of \(\)15\(\)% of \(\)400\(\)?

15. If a number is increased by \(\)20\(\)%, decreased by \(\)15\(\)%, and increased by \(\)7\(\)%, the overall percent change is closest to a:

(A) \(\)2\(\)% decrease

(B) \(\)2\(\)% increase

(C) \(\)9\(\)% increase

(D) \(\)12\(\)% increase

(E) \(\)14\(\)% increase

##### Answer:

1 5%

2 A

3 A

4 $36 per share

5 8 women

6 5 to 8

7 D

8 A

9 C

10 D

11 A

12 40

13 C

14 139

15 C