1. The Johnsons drove from their home to their cabin in the woods at an average speed of 75 mph. If they returned home later that weekend, what was their average speed for the entire trip to and from the cabin?

(1) The trip back home took 30% longer than the trip to the cabin.

(2) The distance from the Johnson's home to their cabin is 220 miles.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

2. What is the remainder when is divided by 10?
*(1) x is a multiple of 3.*

*(2) x is a multiple of 5.*

A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.

D. Either statement by itself is sufficient to answer the question.

E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

3. A brick road has orange, blue, and purple bricks along its path. In a single row of orange, blue, and purple bricks, every purple brick is preceded immediately by an orange brick and every orange brick is preceded immediately by a blue brick. What color is the 26th brick in the row?

(1) The 24th brick in the row is not orange. (2) The 25th brick in the row is not blue.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

*4. If WXYZ is a trapezoid and WX is parallel to YZ, what is the*
*area of WXYZ?*

(1) The height of the trapezoid is 7 inches.
*(2) (WX) + 2(YZ) = 12*

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

E. Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

5. John has a platinum credit card with a certain spending limit and a special black card with three times the spending limit of the platinum card. Currently, he has a balance on his platinum card that is of its spending limit, and he has a balance on

his special black card that is of its spending limit. If John transfers the entire balance on his platinum card to his special black card, what portion of his limit on the special black card will remain unused? A. B. C. D. E.

6. Chris started his trip to work by leaving his house and

*walking to the bus stop at a constant rate of x miles per hour.*
After reaching the bus stop, which is the total distance to his
*work, Chris got on a bus that travels at a constant y miles per*
*hour for the remainder of the trip. If it took Chris t hours to reach*
his work, how many miles is Chris's work from where he lives?

A.

B.

C.

*D. 3x(y + t) + 2y(x + t)*
E.

*7. Is x negative?*

*(1) x *2 is a positive number.

*(2) x |y| is not a positive number.*

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

*8. If the sides of a triangle have lengths x, y, and z, x + y =*
*30, and y + z = 20, then which of the following could be the*
perimeter of the triangle?

I. 28 II. 36 III. 42 A. I only B. II only C. I and II only D. I and III only E. I, II, and III

*9. The ACME company manufactured x brooms per month from*
January to April, inclusive. At the beginning of production on
January 1, ACME had no brooms in its inventory. On the first of
each month, during the following May to December, inclusive, it
sold brooms. If storage costs were $1 per month per broom,
*approximately how much, in terms of x, did the ACME company*
pay for storage from May 2 to December 31, inclusive?

*A. $x*
*B. $3x*
*C. $4x*
*D. $5x*
*E. $14x*

10. Miguel is baking a cake. The cake mix recipe calls for of

the total weight to be milk, to be butter, and the remainder to be an even mixture of nuts and spices. If Miguel accidentally doubles the butter and forgets the mixture of nuts and spices altogether, what proportion of the botched cake mix would be milk? A. B. C. D. E.

11. The circular base of a planter sits on a level lawn, and just
*touches two straight garden walls at points W and Y. The walls*
*come together at point X, which is 15 inches from the center of*
the planter. What is the area of the base of the planter?

*(1) Both points Y and W are 9 inches from the center of the*
planter.

*(2) Point W is 12 inches from point X.*

A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.

D. Either statement by itself is sufficient to answer the question.

E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

*12. By approximately what percent is x greater than * if
?
A. 34
B. 49
C. 58
D. 66
E. 78

13. If the Board of Selectmen contains 4 positions, and if in the current election two candidates are running for each position, how many different combinations of candidates could be elected to the Board?

A. 6 B. 8 C. 12 D. 16 E. 24

14. A set of numbers contains 7 integers and has an average (arithmetic mean) value as well as a median value of 23. If the largest value is equal to 15 more than 4 times the smallest number, what is the largest possible range for the numbers in the set? A. 33 B. 35 C. 38 D. 48 E. 75

15. A summer camp has 25 children enrolled in its golf class, 25 children enrolled in its tennis class, and 8 children enrolled in both classes. If all the children in the summer camp are participating in at least one of the two classes, how many children are enrolled in only one of the two classes?

A. 33 B. 34 C. 38 D. 40 E. 42

*16. What is the average of p, q, and r?*
*(1) p + 3q - 2r = 5*

*(2) 4p + 2q + 7r = -5*

A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.

D. Either statement by itself is sufficient to answer the question.

E. Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

17. Jill jogs the 4 miles from her house to the park in 40 minutes and then she sprints back to her house along the same route at 8 miles per hour. Jon also makes the same trip from Jill's house to the park and back to her house, but he does so at half of Jill's average speed. How many hours does Jon spend on his total trip? A. 2 B. C. D. 3 E. 4 Explanation:

*18. In the figure above, points A, B, C, and D are evenly*

*spaced. If point A equals 2*17* and point C equals 4*9, what is the
*value of point D?*
A. 219
B. 2
17
C. 5(216)
D. 3(216)
E. 2
16

*19. Which of the following must be true if the square root of X is*
a positive integer?

*I. X has an even number of distinct factors.*
*II. X has an odd number of distinct factors.*
*III. The sum of X's distinct factors is odd.*

A. I only B. II only C. I and III D. II and III E. I, II, and III

20. If two sides of a triangle are 12 and 8, which of the following could be the area of the triangle?

I. 35 II. 48 III. 56

A. I only

B. I and II only C. I and III only D. II and III only E. I, II, and III

*21. What is the ratio of r to s?*
*(1) 2s =14*

(2)

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

*22. Is x 0?*
*(1) x - y -8*
*(2) x + y = -8*

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though neither statement by itself is sufficient.

D. Either statement BY ITSELF is sufficient to answer the question.

23. A certain property spent 3 years on the market. The price of the property increased by 25% in the first year, decreased by 50% in the second year, and then increased by 40% in the third year. By how many dollars did the property's price decrease during the second year?

(1) The total decrease in the property's price over the first 2 years was $10,000 more than the increase in the property's price during the third year.

(2) The price of the property at the end of the third year was $70,000.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

*24. If x and y are positive integers, which of the following must*
*be a factor of x if * ?
A. 3
B. 6
C. 10
D. 11
E. 24
Explanation:

25. A fruit drink advertises that it has 5 percent apple juice. Children pour themselves cup of this fruit drink and then add another cup of fruit drink that has 50 percent apple juice. Which is most nearly the percent of apple juice in the children's mixed drink? A. 12.5% B. 16.3% C. 17.5% D. 55.0% E. 65.0%

*26. If m = z*5*, is m 1?*
*(1) 3 - (y- x) x- (y- 3z)*
*(2) z 3*

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

27. If *, is z 8?*
*(1) x 4*

*(2) |y| 4*

A. Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.

D. Either statement by itself is sufficient to answer the question.

*28. If A is the average of B numbers, what is B?*
*(1) The sum of the B numbers is 211.5.*

*(2) A = 23.5*

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

32. All but 50 of the 1,000 plants at the annual flower show were sold. Of the plants sold, 30 percent were sold at a discount of 25 percent off the full price, and the remaining plants were sold at the full price of $12. What was the total revenue from the plant sales?

A. $8,550 B. $8,835 C. $10,545 D. $11,100 E. $12,000

30. In the cube shown, the straight-line difference in length
*between points B and C, and points A and B is approximately*
*what fraction of the distance from A to C ?*

A.

B.

C.

D.

31. How many consecutive zeros will appear at the end of 43! if that number is expanded out to its final result?

A. 12 B. 11 C. 10 D. 9 E. 8

32. All but 50 of the 1,000 plants at the annual flower show were sold. Of the plants sold, 30 percent were sold at a discount of 25 percent off the full price, and the remaining plants were sold at the full price of $12. What was the total revenue from the plant sales?

A. $8,550 B. $8,835 C. $10,545 D. $11,100 E. $12,000

*33. What is the ratio of s to t?*
*(1) 2s + t = 4*

(2)

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.

*34. If it is true that -6 n 10, which of the following must be*
true?
*A. n 8*
*B. n = -6*
*C. n -8*
*D. -10 n 7*

35. Which of the following equations does not have at least one
solution?
*A. (-3)-x = -3-x*
*B. (-3)x = (-3)-x*
*C. (-3)- x = -3x*
*D. 3-x = (-3)x*
*E. 3x = (-3)-x*

36. Jason is doing his weekend chores so he can collect his allowance. He needs to clean his room, mow the lawn, and put his clothes in the dryer after the washer finishes. If the washer is currently running and has 30 minutes remaining in its cycle, can Jason complete all the tasks before his mom comes home in exactly one hour?

(1) Putting away the dishes will take Jason 33 minutes. (2) Cleaning his room and mowing the lawn will take Jason 20 minutes.

A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B. Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C. Statements (1) and (2) TAKEN TOGETHER are

sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D. EITHER statement BY ITSELF is sufficient to answer the question.