[Math Center]

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.  pikachu(1)

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.  pikachu(1)

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

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