Part 1
1.
If 10+x is 5 more than 10,what is the value of 2x ?
2.
The result when a number is divided by 2 is equal to the result when that same number is divided by 4. What is that number?
3.
If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?
4.
In the figure above, lines I and k intersect at point Q.. If m =40 and p=25,what is the value of x ?
5.
Which of the following equations is satisfied by the five pairs of numbers listed in the table above?
6.
The circle graph above shows how David’s monthly expenses are divided. If David spends $450 per month for food, how much does he spend per month on his car?
7. If n and k are positive integers and 8n = 2k what is the value of n/k ?
8.
In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrig-erator at 20 percent off the regular price rather than buying it on sale at T0 percent off the regular price with an additional discount of T0 percent off the sale price?
9. If the function / is defined by f(x) = 3x + 4,then 2f(x)+4=
10. What is the greatest possible area of a triangle with one side of length 7 and another side of length 10?
11. A total of 120,000 votes were cast for 2 opposing candidates Garcia and Perez.If Garcia won by a ratio of 5 to 3.what was the number of votes cast for Perez?
12. If a positive integer n is picked at random from the positive integers less than or equal to T0, what is the probability that 5n + 3 < T4 ?
13. If t is a number greater than T, then t is how much greater than t ?
14. The height of a right circular cylinder is 5 and the diameter of its base is 4. What is the distance from the center of one base to a point on the circumference of the other base?
15. If p and n are integers such than p>n>0 adn p2-n2=12,which of the following can be the value of p-n? I.1II.2III.4
16.
The grid above represents equally spaced streets in a town that has no one-way streets. F marks the corner where a firehouse is located. Points W, X, Y, and Z represent the locations of some other buildings. The fire company defines a building抯 m-distance as the minimum number of blocks that a fire truck must travel from the firehouse to reach the building. For example, the building at X is an m-distance of 1/2, and the building at Y is an m-distance of 1/2 from the firehouse.
1). What is the m-distance of the building at W from the firehouse?
2). what is the total number of different routes that a fire truck can travel the m-distance from F to Z?
3). All of the building in the town that are an m-distance of 3 from the firehouse must lie on a
17. If x and y are positive inegers,which of the following is equivalent to (2x)3y-(2x)y?
18. If j,k and n are consecutive integers such that 0<j<k<n and the units(ones)digit of the product jn is 9 ,what is the units digit of k ?
Part 2
1.
In the sequence above, the first term is 4 and each term after the first is 7 more than the previous term. What is the 12th trem of the sequence?
2. If(x-2)2=49,then x could be
3. The average(arithmetic mean)of t and y is 15 and the average of w and x is 15. What is the average of t,w,x and y?
4. All of Kay’s brothers can swim
If the statement above is true, which of the following must also be true?
5.
In the figure above, triangle ABC is inscribed in the circle with center O and diameter AC. If AB = AO, what is the degree measure of ∟ABO ?
6. Each of the following is equivalent to a/b(bc + k) EXCEPT
7.
In the figure above, AB, CD, and EF intersect at P.
If r = 90, s = 50, t = 60, u = 45, and w = 50, what is the value of x ?
8.
Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g (x) > f (x) ?
9. When her son’s class held its magazine drive,Dr.Nelson bought 7 one-year magazine subscriptions for the waiting room in her office.She bought 4 subscriptions that have 12 issues per year,2 subscriptions that have 4 issues per year,and 1 subscription that has 52 issues per year.Altogether, how many ______magazines will her office receive from these subscriptions?
10. Three more than twice a number is equal to 4. What______ is the number?
11.
The table above shows the total number of copies of Book B that were sold by the end of each of the first 5 weeks of its publication. How many______ copies of the book were sold during the 3rd week of its publication?
12. If j/k = 32 and k = 3/2 what ______ is the value of 1/2j ?
13.
x + y + 3z = 600
x + y + z = 400
In the system of equations above, what ______ is the value of x + y ?
14. There are 25 trays on a table in the cafeteria .Each tray contains a cup only,a plate only,or both a cup and a plate.If 15 of the trays contain cups and 21 of the trays contain plates,how many ______ contain both a cup and a plate?
15.
In the figure above, line ? intersects the x-axis at x = -2 and the y-axis at y = -3. If line m (not shown) passes through the origin and is perpendicular to line ? what ______ is the slope of line m ?
16. If 6 < | x - 31 < 7 and x < 0, what ______ is one possible value of Ixl ?
17. What ______ is the product of the smallest prime number that is greater than 50 and the greatest prime number that is less than 50 ?
18.
In the figure above, PQRS is a rectangle.The area of △RST is7 and PT = 2/5PS.What ______ is the ares of PQRS?
Part 3
1. On Wednesday Heather ran 3 miles in 30 minutes. If she ran for 45 minutes at this rate on Thursday, how far did Heather run on Thursday?
3. If 3 times a number is equal to 3/2, what is the number ?
4.
In the figure above,CDE is an equilateral triangle and ABCE is a square with an area of 1. What is the perimeter of polygon ABCED?
5.
On the number line above, the tick marks are equally spaced and their coordinates are shown. Of these coordinates,which has the smallest positive value?
6. 10,18,4,15,3,21,x
If x is the median of the 7 numbers listed above,which of the following could be the value of x?
7. Two spheres, one with radius 7 and one with radius 4, are tangent to each other. If P is any point on one sphere and Q is any point on the other sphere, what is the maximum possible length of PQ ?
8.
The first table above shows the number of premium members at two video rental stores, A and B, during the years 2000-2002. The second table shows the average (arithmetic mean) number of video rentals per premium member at store B during each of those years. Based on this information, which of the following best approximates the total number of video rentals by premium members at Store B during the years 2000-2002?
9.
In △ABC above , AB=AC, E is the midpoint of AB, and D is the midpoint of AC.If AE=x and ED=4, what is length BC?
10. A student was given a piece of rope and told to cut it into two equal pieces, keep one piece, and pass the other piece to the next student. Each student was to repeat this process until every student in the class had exactly one piece of rope. Which of the following could be the fraction of the original rope that one of the students had?
11.
Which of the following is the graph of a function f such that / (x) = 0 for exactly two values of x between -5 and 5 ?
12.
If x=20 and y=30 in the figure above, what is the value of z?
13. If x and y are integers,7<y<16, and x/y=2/5,how many possible values are there for x ?
14.
Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle,what is the length of the darkened arc?
15.
The graph above shows the number of George’s unsold candy bars over a 10-day period. The points on the graph all lie on which of the following line?
16. Let▼x be defined as x +1/x for all nonzero integers x, if▼x=t,where t is an integer,which of the following is a possible value of t?
