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B) The mild temperature was lowered by a heavy rain in the morning, and the temperature dropped lower by evening. 2 page(E)
9. In the figure below, the average (arithmetic mean) of the numbers in each column is k. If the three circled numbers are moved from the left to the right column, which of the following combinations of numbers can then be moved from the right to the left column so that k remains the average of the numbers in each column?
(A) 6, 13 (B) 4, 5, 6 (C) 4, 7, 5 (D) 4, 7, 6 (E) 7, 5, 6
10. By 7:00 P.M.,
(A) 30 (B) 90 (C) 120 (D) 180 (E) 240
11. In the equilateral triangle RST below, what is the value of y?
(A) 60 (B) 70 (C) 75 (D) 80 (E) 85
12. In the table below, if y = 2x + 3, what is the value of b?
(A) 4 (B) 11 (C) 15 (D) 25 (E) 28
13. In the figure below, the radius of the circle with center R is twice the radius of the circle with center P. What is the radius of the circle with center R?
(A) 5 (B) 6 (C) 7 (D) 8 (E) 10
14. A weather-watch camera is set so that its shutter opens every 31 seconds. If g(h) represents the number of times the cameras shutter opens in h hours, which of the following defines g?
(A) g(h) = 31h (B) g(h) = (C) g(h) = (D) g(h) = (E) g(h) =
15. A jar contained 10 marbles - some red, some white, and some blue. The information below is about 5 marbles that were drawn from the jar. If x is the total number of blue marbles drawn, which of the following statements must be true? Marble 1 was red. Marble 2 was not red. Marble 3 was blue. Marble 4 was the same color as marble 1. Marble 5 was the same color as marble 2.
(A) The only possible value of x is 1. (B) The only possible value of x is 2. (C) The only possible value of x is 3. (D) The only possible values of x are 1 and 2. (E) The only possible values of x are 1 and 3.
16. In the figure below,
(A) v + t (B) v - t (C) t (D) 2v (E) s + t
17. If the integer m is divided by 6, the remainder is 5. What is the remainder if 4m is divided by 6?
(A) 0 (B) 1 (C) 2 (D) 4 (E) 5
18. The daytime telephone rate between two cities is 90 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 65 percent on calls made after 11:00 P.M. The cost, in dollars, of a 30-minute call made at 11:15 P.M. between these two cities is
(A) 0.35(0.90) + 27c (B) 0.35(0.90 + 0.27c) (C) 0.35(0.90 + 9c) (D) 0.65(0.90 + 27c) (E) 0.65(0.90 + 0.30c)
19. How many positive four-digit integers have 1 as their first digit and 2 or 5 as their last digit?
(A) 144 (B) 180 (C) 200 (D) 300 (E) 720
20. In the figure below, a square with sides of length 6 units is divided into 9 squares. What is the area of the circle (not shown) that passes through the points A, B, C, and D, which are the centers of the four corner squares?
(A) (B) (C) (D) (E)
21. If (0.0002)x = 0.0002, then x =
(A) 0.0001 (B) 0.1 (C) 0.5 (D) 1 (E) 1,000
22. If n is 3 less than w and w is 1 more than z, what is the value of n when z = 1?
(A) - 1 (B) 0 (C) 1 (D) 2 (E) 3
23. The pictograph below shows the results of a survey in which 150 people were asked to indicate which of four hot beverages they drink. How many more responses did Coffee receive than Hot cider?
(A) 15 (B) 30 (C) 40 (D) 45 (E) 60
24. If k is a positive even integer, then (k + 1)(k + 2) could equal which of the following?
(A) 10 (B) 20 (C) 30 (D) 40 (E) 50
25. In the figure below, circular region P represents shirts with pockets, circular region Q represents shirts with buttons, and circular region R represents shirts with collars. What is represented by the shaded region?
(A) Shirts with pockets, buttons, and collars (B) Shirts with pockets and buttons, but without collars (C) Shirts with pockets and buttons (some possibly with collars) (D) Shirts with pockets and collars (some possibly with buttons) (E) Shirts with buttons and collars (some possibly with pockets)
26. In the figure below, the slope of line
(A) 3 (B) (C) (D) 2 (E)
27. If
(A) (B) 2 (C) (D) (E)
28. In the figure below, N lies on
(A) 2x (B) 2x + 5 (C) 3x + 5 (D) 90 - x (E) 180 3x
29. Differentiate the function in the below.
(A) (B) (C) (D) (E)
30. Find the integral of the function in the below.
(A) (B) (C) (D) (E)
TEST 04
1. Each month, a telephone service charges a base rate of $10.00 and an additional $0.08 per call for the first 40 calls and $0.04 for every call after that. How much does the telephone service charge for a month in which 50 calls are made?
(A) $12.20 (B) $12.80 (C) $13.60 (D) $14.40 (E) $17.60
2. According to the chart below, Company XYZ experienced its largest increase in monthly profits between which two consecutive months?
(A) January and February (B) February and March (C) March and April (D) April and May (E) May and June
3. In the figure below, the measure of
(A) (B) (C) (D) (E)
4. Each square in the grid below is to be filled with either 1 or 0. Each number to the right of the grid is the sum of the numbers in the row to its left, and each number below the grid is the sum of the numbers in the column above it. For example, there is a 0 below the third column because the sum of the numbers in that column is 0. When the 0s and 1s are all entered correctly into the grid, what will row F be?
(A) F [1, 1, 0, 0] (B) F [1, 0, 1, 0] (C) F [0, 1, 1, 0] (D) F [1, 0, 0, 1] (E) F [0, 1, 0, 1]
5. If (m - 1)(1 - k) = 0, which of the following can be true? I. m = 1 II. k = 1 III. m = k
(A) None (B) I only (C) II only (D) I and II only (E) I, II, and III
6. Which of the following could be the equation of the graph of function g, shown below?
(A) g(x) = x2 - 3x + 2 (B) g(x) = x2 - 2x + 1 (C) g(x) = x2 + x + 3 (D) g(x) = x2 + 2x - 1 (E) g(x) = x2 + 3x - 2
7. In
(A) (B) (C) (D) (E)
8. If q and r are positive numbers, what percent of (q + 1) is r?
(A) (B) (C) (D) (E)
9. If 2x + 4x + 6x = - 24, then x =
(A) - 288 (B) - 2 (C) 0.5 (D) 0.5 (E) 2
10. In the triangle below, x =
(A) 59 (B) 60 (C) 61 (D) 62 (E) 63
11. For every 8,000 lawn mowers produced by a lawn mower factory, exactly 6 are defective. At this rate, how many lawn mowers were produced during a period in which exactly 15 lawn mowers were defective?
(A) 800 (B) 8,000 (C) 12,000 (D) 20,000 (E) 24,000
12. If
(A) 10 (B) 9 (C) 7 (D) 5 (E) 3
13. The figure below will be rotated 90° about point P in the direction indicated. Which of the following represents the rotated figure?
(A)
(B)
(C)
(D)
(E)
14. If 7.5 is x percent of 75, what is x percent of 10?
(A) 10 (B) 1 (C) 0.75 (D) 0.1 (E) 0.075
15. In the diagram of roads below, the numbers represent road distances in miles, and the arrows show the only directions in which travel is permitted on the roads. If the length of the longest route from A to B is
(A) 9 (B) 8 (C) 7 (D) 3 (E) 2
16. In the figure below, line
(A) (0, 2) (B) (1, 3) (C) (3, 1) (D) (3, 3) (E) (3, 6)
17. If
(A) 6 (B) 5 (C) 4 (D) 3 (E) 2
18. What is the radius of a circle whose circumference is π?
(A) 0.5 (B) 1 (C) 2 (D) π (E) 2π
19. How many of the prime factors of 30 are greater than 2?
(A) One (B) Two (C) Three (D) Four (E) Five
20. If the average (arithmetic mean) of the 3 numbers below is 2a, what is b in terms of a? a, 2a, b
(A) a (B) (C) 2a (D) (E) 3a
21. In the increasing sequence below, the first term is y and the difference between any two consecutive terms is 3. What is the value of the fourth term in the sequence? y, 2y + 7, y + 6,
(A) - 4 (B) 2 (C) 5 (D) 13 (E) 19
22. Let the function f be defined by f(x) = 2x 1. If
(A) - 9.5 (B) - 3 (C) 3 (D) 9.5 (E) 10.5
23. In a windowless, cube-shaped storage room, the ceiling and 4 walls, including a door, are completely painted. The floor is not painted. If the painted area is equal to 80 square meters, what is the volume of the room, in cubic meters?
(A) 16 (B) 20 (C) 64 (D) 256 (E) 400
24. According to the formula F =
(A) 9 (B) 15 (C) 47 (D) 48 (E) 59
25. For all values of y, let y * be defined by y * = y2 - 1. Which of the following is equal to (y *) *?
(A) y4 - 1 (B) y4 y2 - 1 (C) y4 + y2 - 1 (D) y4 - 2y2 (E) y4 - 2y2 + 1
26. If three different circles are drawn on a piece of paper, at most how many points can be common to all three?
(A) None (B) One (C) Two (D) Three (E) Six
27. A club is buying boxes of candy bars to sell for a fund-raiser. If each box contains c candy bars, and each member sells x bars each day, how many boxes are needed to supply enough candy bars for 3c members to sell for 5 days?
(A) 15c2x (B) (C) (D) (E) 15x
28. In the figure below, the coordinates of P are (10 2a, 0) and the coordinates of Q are (10, a). A point in square ORST is to be chosen at random. If the probability that the point will be in the shaded triangle is
(A) (B) (C) 2 (D) 2 (E) 5
29. Differentiate the function in the below.
(A) (B) 1 (C) 2 (D) 3 (E) -1
30. Find the integral of the function in the below.
(A) (B) (C) (D) (E)
TEST 05
1. The total cost of 5 equally priced notebooks is $12.50. If the cost per notebook is reduced by $1, how much will 3 of these notebooks cost at the new rate?
(A) $4.50 (B) $5.00 (C) $6.50 (D) $7.50 (E) $9.50
2. If x2 64 = 0, which of the following could be a value of x?
(A) - 8 (B) - 4 (C) 0 (D) 16 (E) 32
3. The digits of the positive three-digit integer n are 7, 8, and 9. How many possible values are there for?
(A) Three (B) Four (C) Six (D) Eight (E) Nine
4. In the figure below, ∠WOY and ∠XOZ each have measure 80°. If r = 45, what is the value of t?
(A) 125 (B) 80 (C) 55 (D) 50 (E) 45
5. In the figure below, if the coordinates of points X and Y are added together, the result will be the coordinate of a point between which two consecutive integers?
(A) 3 and - 2 (B) 2 and - 1 (C) 1 and 0 (D) 0 and 1 (E) 2 and 3
6. In a sequence of numbers, the first number is 4 and each number after the first is 1 more than 5 times the preceding number. What is the third number in the sequence?
(A) 16 (B) 21 (C) 94 (D) 96 (E) 106
7. It took Kia 6 hours to drive from Ashton to Farley, passing through Belville, Clinton, Dryden, and Edgewood on the way. The graph below shows where she was along the route during the 6 hours of the trip. According to the graph, approximately how long, in hours, did it take Kia to drive from Dryden to Edgewood?
(A) 1 (B) 2.5 (C) 3 (D) 3.5 (E) 4.5
8. If the average of 4 and j is 6 and the average of 10 and k is 10, what is the average of j and k?
(A) 5 (B) 6 (C) 8 (D) 9 (E) 10
9. Which of the following could be the graph in the xy -plane of the function f(x) = 2x + 3?
(A)
(B)
(C)
(D)
(E)
10. If n is a positive odd integer, then (n + 1)(n + 2) could equal which of the following? Date: 2015-12-24; view: 1075 |
of the junior class had arrived at a school dance. By 8:00 P. M., 30 more juniors had arrived, raising attendance to 
of the junior class. How many people are in the junior class?
. If v = 2w, which of the following must be equal to q?
square units
square units
square units
square units
square units
is 
. What is the value of k?
and 
, where 
, which of the following must be equal to 
?
. In terms of x, which of the following must be equivalent to y?
is 
the measure of 
. If the measure of 
is 
the measure of a right angle, what is the measure of 
below, AB = 3 and D is the midpoint of AC. What is the length of BC?
what is the value of n?
miles, and if the length of the shortest route from A to B is s miles, then 
(not shown) is perpendicular to 
and bisects 
. Which of the following points lies on line 
?
and y = 
, what is the value of x?
f(t) = 10, what is the value of t?
C + 32 temperature in degrees Fahrenheit (F) increases by 27, by how much does the temperature in degrees Celsius (C) increase?
, what is the value of a?
