6. If v s = 2 and r s = t v, then, for t 0, r t = (A) 1 2 (B) 2 t (C) v v (D) (E) 2v

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5. While driving on a 500-mile trip, Mr. Smith averages 60 miles per hour for the first t hours. In terms of t, where t < 8, how many miles remain to be traveled? Plug in Numbers 1.

1 5. While driving on a 500-mile trip, Mr. Smith averages 60 miles per hour for the first t hours. In terms of t, where t < 8, how many miles remain to be traveled? Plug in Numbers 1. Tom had b books for sale at a price of k dollars each. If y is the number of books he did not sell, which of the following represents the total dollar amount he received in sales from the books? () k(b y) () k(y b) ky b (D) b ky (E) bk y. If t represents an odd integer, which of the following expressions represents an even integer? () t + () t 1 3t (D) 3t + (E) 5t If 0 < x < 1 and 0 < y < 1, which of the following must be true? () xy > 0 () xy < 0 x y < 0 (D) x y > 0 (E) x y < 0 4. The cost of 3 sweatshirts is d dollars. t this rate, what is the cost, in dollars, of 30 sweatshirts? () 10d 3 d () d (D) 10d (E) 30d () 60t 500 () t 0, 000 t (D) t (E) t 6. If v s = and r s = t v, then, for t 0, r t = () 1 () t v v (D) s (E) v s 7. If y = 5x and the value of x is increased by 4, then the value of y will increase by how much? () 1 () 4 5 (D) 9 (E) 0 8. If e, f, g, and h are consecutive odd integers and e < f < g < h, then g + h is how much greater than e + f? () () 3 4 (D) 5 (E) 8 9. If the perimeter of a rectangle is 10 times the width of the rectangle, then the length of the rectangle is how many times the width? Revised /010 1

2 10. If n is an even integer greater than, what is the next greater even integer in terms of n? () n + 1 () n + n + 3 (D) n (E) n 11. If the average (arithmetic mean) of 5 consecutive even integers is n, what is the median of these 5 integers? () 0 () n (D) n (E) n 4 1. If x = 1, then x + y = y () 0 () 1 x (D) y (E) x 13. If j and k are integers and j + k = j + 4, which of the following must be true? I. j is even. II. k is even. III. k j is even. () None () I only II only (D) III only (E) I, II, and III 14. If n is a positive number, which of the following is equal to 8n? () 64n () 8n 16n (D) 4n (E) 4 4n 15. If p is a prime number greater than 3, which of the following is NOT a factor of 6p? () p () 6p 3p (D) p (E) If x = y, y = 4z, z = w, and w 0, then x w = () 1 4 () 1 1 (D) (E) If x < y, which of the following must be true? () x < y () y < x x < xy (D) xy < y (E) x < y 18. The expression 3x 1 4 than x? + x is how much more

3 19. In a certain shop, items were put in a showcase and assigned prices for January. Each month after that, the price was 10 percent less than the price for the previous month. If the price of an item was p dollars for January, what was the price for pril? () 0.4p () 0.6p p (D) 0.7p (E) 0.79p 0. person slices a pie into k equal pieces and eats one piece. In terms of k, what percent of the pie is left? () 100(k 1) % 100(k 1) () % k 100k k 1 % (D) k % (E) k 1 100k % 1. If x is 3 of y and y is 3 of z, what is the value of 5 x z? () 5 () (D) 10 9 (E) 5. If y = 5x3, what happens to the value of y when z both x and z are doubled? () y is not changed. () y is halved. y is doubled. (D) y is tripled. (E) y is multiplied by If x is 5 percent of r and r is 0 percent of s, what percent of s is x? () 1% () 4% 10% (D) 40% (E) 100% 4. If a and b are positive, then the solution to the equation bx a x = 1 is x = a () b + 1 () a + 1 b + 1 b 1 (D) a b a + 1 (E) b + 1 a 5. If m and n are both negative numbers, m is less than 1 and n is greater than 1, which of the following gives all possible values of the product mn? () ll negative numbers () ll negative numbers less than 1 ll negative numbers greater than 1 (D) ll positive numbers (E) ll positive numbers less than 1 6. If x is an integer and x + 7 is an integer, which of the following must be true? I. x is odd. II. x is a multiple of 7. x + 5 III. is an integer. () I only () II only III only (D) I and II (E) I and III 3

4 Ratios 7. The ratio of 8 to 3 is equal to the ratio of 4 to what number? () 8 () 9 19 (D) 9 (E) recipe calls for 7 1 tablespoons of milk. This 3 amount is equivalent to how many teaspoons of milk? (3 teaspoons = 1 tablespoon) () () (D) (E) Five of the 1 members of a club are girls and the rest are boys. What is the ratio of boys to girls in the club? (nswer as a fraction.) 31. Three business partners are to share profits of $4,000 in the ratio 5 : 4 : 3. What is the amount of the least share? () $1,00 () $3,000 $6,000 (D) $8,000 (E) $10, If the ratio of two positive integers is 3 to, which of the following statements about these integers NNOT be true? () Their sum is an odd integer. () Their sum is an even integer. Their product is divisible by 6. (D) Their product is an even integer. (E) Their product is an odd integer. 33. If the ratio of q to r is 4 to 5, which of the following could be true? () q = 0, r = 4 5 O () q =, r = 5 q = 5, r = 6 (D) q = 15, r = 1 (E) q = 16, r = In the figure above, both circles have their centers at point O, and point lies on segment O. If O = 3 and =, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle? () 3 () (D) 1 (E) 4 9 4

5 Mean, Median, & Mode ENTRL HIGH S FIELD HOKEY RESULTS Games Played in September Margin of Goals Goals Victory entral 7 Northern 0 entral 3 Westfield 1 entral 3 Easton entral 5 Southern 1 entral ayville entral High s field hockey team was undefeated in September, as shown in the table above. team s margin of victory for a single game is defined as the number of goals it made minus the number of goals made by the losing team. What is the median of the missing values in the column labeled Margin of Victory? () 1 () 3 (D) 4 (E) In a certain club, the median age of the members is 11. Which of the following must be true? I. The oldest member in the club is at least 1 year older than the youngest. II. If there is a 10 year old in the club, there is also a 1 year old. III. The mode of the members ages is 11. () None () I only II only (D) III only (E) II and III 36. The average (arithmetic mean) of the test scores of a class of p students is 70, and the average of the test scores of a class of n students is 9. When the scores of both classes are combined, the average score is 86. What is the value of p n? 37. If the average (arithmetic mean) of x, x 8, x +, 3x 1, and 4x + 1 is 6, what is the value of the mode of these numbers? 38. In a set of eleven different numbers, which of the following NNOT affect the value of the median? () Doubling each number () Increasing each number by 10 Increasing the smallest number only (D) Decreasing the largest number only (E) Increasing the largest number only 39. If the average (arithmetic mean) of three different positive integers is 70, what is the greatest possible value of one of the integers? xº yº vº uº wº 40. In the triangles above, what is the average (arithmetic mean) of u, v, w, x, and y? () 1 () (D) 5 (E) The average (arithmetic mean) of nine numbers is 9. When a tenth number is added, the average of the ten numbers is also 9. What is the tenth number? () 0 9 () (D) 9 (E) 10 5

6 Triangles and Geometry ase your answers to the following questions on the diagram below, in which l m. Treat each question as if the information from the previous question has been discarded. t k 47. If = D and = 1, what is the measure of? ase your answers to the following questions on the diagram below (not drawn to scale), in which triangles D and D are right triangles. Treat each question as if the information from the previous question has been discarded. zº yº l xº wº m D 4. Suppose that y = x and w = 60. What is the value of y? 43. If y = 70 and x = 40, what is the value of z? 44. Suppose the triangle formed by,, and is equilateral (i.e. = = ). What is the value of z? 48. Suppose D and D are isosceles right triangles, and = 5. What is the length of? 49. Suppose triangle D is isosceles, = 10 and D = 6. What is the area of triangle D? Suppose instead that = (i.e. the triangle formed by,, and is isosceles), and that w = 50. What are the values of y and z? x 16 ase your answers to the following two questions on the figure below, in which D and D are right triangles. Treat each question as if the information from the previous question has been discarded. y 50. In the figure above, what is the value of x + y? D yº D xº E 46. If =, = 5 and D = 4, what is the length of? 51. In the figure above E E and D E. If x = y, the length of is 4, and the length of D is 8, what is the length of E? 6

7 Plug in Numbers Packet KEY E 8. D E /5 38. E D 13. D. E E E E 41. D E 16. E 5. D E E / / , 50 7

GREEN SKILL DRILL 1. Answers Name. Show ALL work! 1) Express as a common fraction: 2) Express

$GREEN SKILL DRILL 1. Answers Name. Show ALL work! 1) Express as a common fraction: 2) Express$ GREEN SKILL RILL Name Show LL work! ) Express as a common fraction: 7 ) Express as a common fraction in lowest terms. 7 ) Find the number which appears the way from to on the number line. ) Express in