1. If an athlete’s weight decreased from [latex]160[latex] pounds to [latex]152[latex] pounds, what was the percent decrease in the athlete’s weight?

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

Quantity A |
Quantity B |

The price at which Emma sold the bicycle | [latex]140[latex] |

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

Quantity A |
Quantity B |

The property tax in [latex]2009[latex] on a home in Town [latex]X[latex] that had an assessed value of $[latex]160000[latex] | [latex]3000[latex] |

4. A particular stock is valued at $[latex]40[latex] per share. If the value increases by [latex]20[latex] percent and then decreases by [latex]25[latex] 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 [latex]20[latex] members is [latex]3[latex] to [latex]2[latex], how many members of the committee are women?

6. If the ratio of [latex]2x[latex] to [latex]5y[latex] is [latex]3[latex] to [latex]4[latex], what is the ratio of [latex]x[latex] to [latex]y[latex]?

7.

In the figure, what is the value of y if [latex]x:y = 2 : 3[latex] ?

(A) [latex]16[latex]

(B) [latex]32[latex]

(C) [latex]48[latex]

(D) [latex]54[latex]

(E) [latex]72[latex]

8. The ratio of the sum of the reciprocals of [latex]x[latex] and [latex]y[latex] to the product of the reciprocals of [latex]x[latex] and [latex]y[latex] is [latex]1 : 3[latex]. What is sum of the numbers [latex]x[latex] and [latex]y[latex]?

(A) [latex]1/3[latex]

(B) [latex]1/2[latex]

(C) [latex]1[latex]

(D) [latex]2[latex]

(E) [latex]4[latex]

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

(A) [latex]16/53[latex]

(B) [latex]17/54[latex]

(C) [latex]38/71[latex]

(D) [latex]25/31[latex]

(E) [latex]38/33[latex]

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 [latex]3 : 4[latex]. Their respective expenditures ratio is [latex]1 : 2[latex].

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 [latex]ABCD[latex] to the area of rectangle [latex]AECF[latex] is [latex]5 : 3[latex]. What is the area of the rectangle [latex]AECF[latex] ?

(A) [latex]18[latex]

(B) [latex]24[latex]

(C) [latex]25[latex]

(D) [latex]50[latex]

(E) [latex]54[latex]

12. [latex]250[latex]% of [latex]x[latex] is increased by [latex]250[latex]% to become [latex]350[latex]. What is the value of [latex]x[latex]?

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

Quantity A |
Quantity B |

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

14. What is [latex]230[latex]% of [latex]15[latex]% of [latex]400[latex]?

15. If a number is increased by [latex]20[latex]%, decreased by [latex]15[latex]%, and increased by [latex]7[latex]%, the overall percent change is closest to a:

(A) [latex]2[latex]% decrease

(B) [latex]2[latex]% increase

(C) [latex]9[latex]% increase

(D) [latex]12[latex]% increase

(E) [latex]14[latex]% 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