# GMAT OG 2021 Math

## Problem Solving

# ID Difficulty Primary Category Question Text
1 PS Easy Geometry In the figure the 6 small squares are identical each with sides of l
2 PS Easy Arithmetic/Graphs and Illustrations The table shows a summary of the ticket sales from four performances o
3 PS Easy Statistics and Sets Problems During a trip that they took together carmen juan maria a
4 PS Easy Word Problems Each week a clothing salesperson receives a commission equal
5 PS Easy Arithmetic/Word Problems A certain restaurant that regularly advertises through the mail has
6 PS Easy Geometry In the figure above what are the coordinates of point r
7 PS Easy Percents and Interest Problems The price of a coat in a certain store is 500 if the price of the co
8 PS Easy Arithmetic (1/2 – 1/3) + (1/3 – 1/4) + (1/4 – 1/5) + (1/5 – 1/6) =
9 PS Easy Word Problems While a family was away on vacation they paid a neighborhood boy
10 PS Easy Word Problems Last year 48 000 of a certain store s profit was shared by its 2 owne
11 PS Easy Fractions/Ratios/Decimals On a vacation rose exchanged 500 00 for euros at an exchange rate of
12 PS Easy Fractions/Ratios/Decimals Each of the 12 squares shown is labeled x y v or w what is the ratio
13 PS Easy Coordinate Geometry In the xy coordinate plane if the point 0 2 lies on the graph of th
14 PS Easy Number Properties/Word Problems Bouquets are to be made using white tulips and red tulips and the rat
15 PS Easy Word Problems Over the past 7 weeks the smith family had weekly grocery bills of
16 PS Easy Arithmetic/Percents and Interest Pr 125% of 5 =
17 PS Easy Statistics and Sets Problems During a recent storm 9 neighborhoods experienced power failures of
18 PS Easy Distance/Rate Problems/Word Problem When traveling at a constant speed of 32 miles per hour a certain mot
19 PS Easy Percents and Interest Problems/Word A technician makes a round trip to and from a certain service center b
20 PS Medium Word Problems From 2000 to 2003 the number of employees at a certain company increa
21 PS Easy Statistics and Sets Problems Which of the following statements must be true about the average arit
22 PS Easy Algebra A collection of 16 coins each with a face value of either 10 cents or
23 PS Easy Word Problems A retailer purchased eggs at 2 80 per dozen and sold the eggs at 3 eg
24 PS Easy Probability In a set of 24 cards each card is numbered with a different positive
25 PS Easy Geometry If the circumference of a circle inscribed in a square is 25 what is
26 PS Easy Inequalities If 1 x y z which of the following has the greatest value
27 PS Medium Number Properties/Statistics and Se Set x consists of eight consecutive integers set y consists of all th
28 PS Easy Arithmetic Of the following which is the closest to
29 PS Easy Algebra Thabo owns exactly 140 books and each book is either paperback fictio
30 PS Easy Arithmetic If the average arithmetic mean of the four numbers 3 15 32 and n
31 PS Easy Word Problems/Geometry Abdul barb and carlos all live on the same straight road on which
32 PS Easy Geometry In the figure shown what is the value of x
33 PS Easy Word Problems/Work/Rate Problems During a certain time period car x traveled north along a straight ro
34 PS Easy Fractions/Ratios/Decimals/Word Prob Cheryl purchased 5 identical hollow pine doors and 6 identical solid o
35 PS Easy Min/Max Problems/Word Problems A certain store will order 25 crates of apples the apples will be of
36 PS Easy Word Problems A bicycle store purchased two bicycles one for 250 and the other for
37 PS Easy Geometry In the figure shown ac 2 and bd dc 1 what is the measure of
38 PS Easy Absolute Values/Modulus/ If k 2 m 2 which of the following must be true
39 PS Easy Algebra Makoto nishi and ozuro were paid a total of 780 for waxing the floo
40 PS Easy Geometry The figure above shows a path around a triangular piece of land mary
41 PS Easy Algebra/Exponents/Powers If x is a positive integer and 4 x 3 y which of the following can
42 PS Easy Algebra If (1 – 1.25)N = 1, then N =
43 PS Easy Remainders The quotient when a certain number is divided by 2 3 is 9 2 what is
44 PS Easy Geometry If a sphere with radius r is inscribed in a cube with edges of length
45 PS Medium Word Problems The price of gasoline at a service station increased from 1 65 per ga
46 PS Easy Word Problems Based on the rates above how much would company x charge a customer
47 PS Easy Algebra If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =
48 PS Easy Fractions/Ratios/Decimals City x has a population 4 times as great as the population of city y
49 PS Easy Graphs and Illustrations The graph above shows the height of the tide in feet above or below
50 PS Easy Arithmetic If S = 1 + 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 + 1/6^2 + 1/7^2 + 1/8^2 + 1/9
51 PS Easy Percents and Interest Problems/Word A manufacturer of a certain product can expect that between 0 3 percen
52 PS Easy Geometry A flat patio was built alongside a house as shown in the figure above
53 PS Easy Arithmetic/Roots Which of the following is closest to (4.2(1,590)/15.7)^(1/2) ?
54 PS Easy Percents and Interest Problems/Stat The sum of the weekly salaries of 5 employees is 3 250 if each of th
55 PS Easy Word Problems Last week chris earned x dollars per hour for the first 40 hours worke
56 PS Easy Geometry In the figure above what is the ratio of the measure of angle b to
57 PS Easy Arithmetic The value of 7 8 1 9 1 2 is closest to which of the following
58 PS Easy Divisibility/Multiples/Factors The positive two digit integers x and y have the same digits but in
59 PS Easy Sequences In a certain sequence of 8 numbers each number after the first is
60 PS Medium Algebra/Word Problems A total of s oranges are to be packaged in boxes that will hold r oran
61 PS Easy Arithmetic/Inequalities If 0 a b c which of the following statements must be true
62 PS Easy Coordinate Geometry In the xy plane the origin o is the midpoint of line segment pq if t
63 PS Medium Statistics and Sets Problems The table above shows the number of packages shipped daily by each of
64 PS Easy Percents and Interest Problems/Word Company q plans to make a new product next year and sell each unit of
65 PS Easy Word Problems A small business invests 9 900 in equipment to produce a
66 PS Medium Remainders The dial shown above is divided into equal sized intervals at which
67 PS Medium Percents and Interest Problems According to the table shown the estimated number of home schooled
68 PS Easy Coordinate Geometry The graph of the equation xy k where k 0 lies in which two of th
69 PS Easy Fractions/Ratios/Decimals When n liters of fuel was added to a tank that was already
70 PS Medium Geometry The smaller rectangle in the figure above represents the original size
71 PS Medium Percents and Interest Problems Kevin invested 8 000 for one year at a simple annual interest rate of
72 PS Easy Geometry The figure above represents a semicircular archway over a flat street
73 PS Easy Fractions/Ratios/Decimals The harvest yield from a certain apple orchard was 350 bushels of appl
74 PS Medium Fractions/Ratios/Decimals/Percents In a certain fraction the denominator is 16 greater than the numerato
75 PS Hard Word Problems Greg assembles units of a certain product at a factory each day he is
76 PS Medium Arithmetic/Roots Which of the following is greatest
77 PS Hard Distance/Rate Problems Al and ben are drivers for sd trucking company one snowy day ben lef
78 PS Easy Percents and Interest Problems Of the land owned by a farmer 90 percent was cleared for planting of
79 PS Easy Sequences At the start of an experiment a certain population consisted of
80 PS Easy Algebra If (1/3 + 1/4 + 1/5 + 1/6) = r(1/9 + 1/12 + 1/15 + 1/18), then r =
81 PS Medium Algebra/Arithmetic If x and y are positive integers such that y is a multiple of 5 and 3x
82 PS Easy Algebra Which of the following expressions can be written as an integer
83 PS Easy Work/Rate Problems Pumping alone at their respective constant rates one inlet pipe fills
84 PS Easy Coordinate Geometry In the xy coordinate plane which of the following points must lie on
85 PS Easy Inequalities If x 2 2 0 which of the following specifies all the possible
86 PS Medium Algebra/Remainders Shawana made a schedule for reading books during 4 weeks 28 days of
87 PS Hard Percents and Interest Problems In western europe x bicycles were sold in each of the years 1990 and
88 PS Easy Algebra/Remainders If k is a positive integer what is the remainder when k 2 k 3 k
89 PS Hard Arithmetic/Fractions/Ratios/Decimal Which of the following fractions is closest to 1/2
90 PS Easy Algebra/Fractions/Ratios/Decimals If p ≠ 0 and p – (1 – p^2 )/p = r/p, then r =
91 PS Easy Statistics and Sets Problems If the range of the six numbers 4 3 14 7 10 and x is 12 what is the
92 PS Easy Algebra What number is 108 more than two thirds of itself a 72 b 144 c
93 PS Medium World Problem A service provider charges c dollars for the first 50
94 PS Easy Distance/Rate Problem A salesperson who had been driving at a speed
95 PS Easy Percent and Interest Problem Company P had 15 percent more employees in December than it
96 PS Medium Graph The table above shows the numbers of hours of television programs that
97 PS Medium Word Problem A dance troupe has a total of 50 dancers split into 2 groups. The cost
98 PS Easy Word Problem A doctor prescribed 18 cubic centimeters of a certain drug to a patient
99 PS Easy Exponents/Powers/Roots The function f is defined by f(x) = x^(1/2) – 10 for all positive numb
100 PS Medium Geometry If rectangle abcd is inscribed in the circle above what is the area
101 PS Easy Geometry In quadrilateral abcd above what is the length of ab
102 PS Very Hard Geometry Three fourths of the area of a rectangular lawn 30 feet wide by 40 fee
103 PS Hard Geometry In the floor plan of an executive s beach house above the north and
104 PS Medium Geometry On a scale drawing a rectangle 1 inch by 1 1 3 inches represents the
105 PS Medium Overlapping Sets According to a survey of 200 people, 60 enjoy skiing and 80 enjoy skat
106 PS Easy Function and Custom Characters If the relations shown hold for the operation ⊕ and the numbers m, n,
107 PS Medium Word Problem To rent a tractor, it costs a total of x dollars for the first 24 hour
108 PS Medium World Problem If the mass of 1 cubic centimeter of a certain substance is 7.3 grams
109 PS Easy Algebra If z ≠ 0 and z + (1 – 2z^2)/z = w/z, then w =
110 PS Easy Function and Custom Characters For all real numbers a, b, c, d, e, and f, the operation Θ is defined
111 PS Medium Algebra/Inequalities If m and p are positive integers and m 2 p 2 100 what is the
112 PS Medium Algebra/Must or Could be True Quest If x/y = c/d and d/c = b/a, which of the following must be true?
113 PS Easy Arithmetic If k is an integer and (0.0025)(0.025)(0.00025) × 10^k is an integer,
114 PS Easy Algebra If a(a + 2) = 24 and b(b + 2) = 24, where a ≠ b, then a + b =
115 PS Easy Coordinate Geometry In the xy plane, the distance between the origin and the point (4,5)
116 PS Medium Percents and Interest Problems In a recent election ms robbins received 8 000 votes cast by indepen
117 PS Medium Word problems The profit P, in dollars, for any given month at a certain company is
118 PS Easy Geometry In the figure shown the triangle is inscribed in the semicircle if
119 PS Medium Arithmetic/Statistics and Sets Prob A manufacturer makes and sells 2 products p and q the revenue from t
120 PS Medium Remainders A worker carries jugs of liquid soap from a production line to a packi
121 PS Medium Word Problems Last year a state senate consisting of only Republican and Democrat me
122 PS Easy Geometry The figure shown above represents a modern painting that consists of f
123 PS Medium Word Problems Sam has \$800 in his account. He will deposit \$1 in his account one wee
124 PS Medium Word Problems A certain state’s milk production was 980 million pounds in 2007 and 2
125 PS Medium Work/Rate Problems Working simultaneously and independently at an identical constant rate
126 PS Medium Algebra/Functions and Custom Charac The symbol denotes one of the four arithmetic operations addition su
127 PS Easy Algebra/Percents and Interest Probl If mn 0 and 25 percent of n equals 37 1 2 percent of m what is the
128 PS Easy Percents and Interest Problems Last year joe grew 1 inch and sally grew 200 percent more than joe gre
129 PS Medium Fractions/Ratios/Decimals/Percents The table shows partial results of a survey in which consumers were as
130 PS Medium Word Problems If 65 percent of a certain firm’s employees are full-time and if there
131 PS Medium Percents and Interest Problems The cost c in dollars to remove p percent of a certain pollutant fro
132 PS Medium Algebra If xy ≠ 0 and x^2y^2 − xy = 6, which of the following could be y in te
133 PS Easy Arithmetic (4.8*10^9)^(1/2) is closest in value to
134 PS Medium Overlapping Sets In a certain high school, 80 percent of the seniors are taking calculu
135 PS Easy Exponents/Powers If the units digit of 5,610.37/10^k is 6, what is the value of k?
136 PS Easy Work/Rate Problems Three printing presses r s and t working together at the
137 PS Hard Statistics and Sets Problems In a poll, 200 subscribers to Financial Magazine X indicated which of
138 PS Medium Geometry For a party three solid cheese balls with diameters of 2 inches 4 in
139 PS Medium Arithmetic The sum of all the integers k such that 26 k 24 is
140 PS Easy Statistics and Sets Problems/Absolu The number line shown contains three points r s and t whose coordin
141 PS Medium Geometry Tanks A and B are each in the shape of a right circular cylinder.
142 PS Medium Word Problems Mark and ann together were allocated n boxes of cookies to sell for a
143 PS Medium Arithmetic In the correctly worked addition problem shown, P, Q, R, and S are dig
144 PS Easy Overlapping Sets A certain high school has 5 000 students of these students x are
145 PS Easy Overlapping Sets Each person who attended a company meeting was either a stockholder in
146 PS Hard Arithmetic/Percents and Interest Pr The table shows the amount budgeted and the amount spent for each of
147 PS Hard Word Problems/Arithmetic/Percents a The graph shows the number of computers assembled during each of 6 con
148 PS Easy Divisibility/Multiples/Factors If n = 20! + 17, then n is divisible by which of the following?
149 PS Easy Word Problems An American dealer bought a table in Germany for 480 marks and sold th
150 PS Hard Arithmetic One inch represents 20 miles on Map K and one inch represents 30 miles
151 PS Hard Algebra The product of two negative numbers is 160 if the lesser of the two
152 PS Easy Arithmetic According to a certain estimate the depth n t in centimeters of
153 PS Medium Geometry The sides of a square region, measured to the nearest centimeter, are
154 PS Hard Distance/Rate Problems After driving to a riverfront parking lot bob plans to run
155 PS Medium Percents and Interest Problems Alex deposited x dollars into a new account
156 PS Medium Arithmetic M is the sum of the reciprocals of the consecutive integers from
157 PS Medium Work/Rate Problems Working simultaneously at their respective constant rates m
158 PS Medium Probability Carol purchased one basket of fruit consisting of 4 Apples and 2 Orang
159 PS Medium Word Problems Last year Brand X shoes were sold by dealers in 403 different regions
160 PS Easy Statistics and Sets Problems What is the median of the numbers shown
161 PS Very Hard Word Problems If 1 3 of the total number of marbles in the three bags listed in the
162 PS Medium Statistics and Sets Problems The table above gives the age categories of the 161 employees at compa
163 PS Medium Algebra If k and n are positive integers such that n > k, then k! + (n-k)*(k-1
164 PS Easy Statistics and Sets Problems Ron is 4 inches taller than amy and barbara is 1 inch taller than ron
165 PS Hard Algebra/Inequalities/Number Propert If x and y are positive numbers such that x y 1 which of the
166 PS Hard Fractions/Ratios/Decimals If x is the hundredths digit in the decimal 0 1x and if y is the thous
167 PS Medium Combinations If each of the 12 teams participating in a certain tournament plays ex
168 PS Hard Geometry If the length of a diagonal of a square is 2x^(1/2), what is the area
169 PS Medium Combinations Clarissa will create her summer reading list by randomly choosing 4 bo
170 PS Easy Number Properties/Divisibility/Mult If n is a positive integer and the product of all integers
171 PS Medium Probability The probability that event m will not occur is 0 8 and the probability
172 PS Easy Word Problems The total cost for company x to produce a batch of tools is
173 PS Medium Arithmetic/Statistics and Sets Prob If q is an odd number and the median of q consecutive
174 PS Easy Geometry A ladder of a fire truck is elevated to an angle of 60 and
175 PS Medium Geometry The window in the figure above consists of a rectangle and a semicircl
176 PS Very Hard Fractions/Ratios/Decimals If there are fewer than 8 zeroes between the decimal point and the
177 PS Hard Combinations A three digit code for certain locks uses the digits
178 PS Medium Algebra/Mixture Problems Jackie has two solutions that are 2 percent sulfuric acid
179 PS Easy Word Problems If jake loses 8 pounds he will weigh twice as much as his
180 PS Medium Statistics and Sets Problems For each student in a certain class a teacher adjusted the student s
181 PS Medium Overlapping Sets Last year 26 members of a certain club traveled to england 26 members
182 PS Easy Percents and Interest Problems A store reported total sales of 385 million for february of
183 PS Medium Remainders When positive integer x is divided by positive integer y
184 PS Easy Algebra If x(2x + 1) = 0 and (x + 1/2)(2x – 3) = 0, then x =
185 PS Hard Geometry Figures x and y above show how eight identical triangular pieces of ca
186 PS Very Hard Min/Max Problems/Word Problems A certain experimental mathematics program was tried out in 2 classes
187 PS Easy Statistics and Sets Problems For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8
188 PS Hard Geometry The interior of a rectangular carton is designed by a certain
189 PS Easy Fractions/Ratios/Decimals/Mixture P The present ratio of students to teachers at a certain
190 PS Easy Exponents/Powers/Inequalities What is the smallest integer n for which 25 n
191 PS Easy Probability Sixty percent of the members of a study group are women and
192 PS Hard Arithmetic/Word Problems Each year for 4 years a farmer increased the number of trees in a
193 PS Medium Graphs and Illustrations/Statistics According to the chart shown which of the following is
194 PS Medium Divisibility/Multiples/Factors/Expo For the positive integers a b and k a k b means that a k
195 PS Hard Statistics and Sets Problems A certain characteristic in a large population has a distribution that
196 PS Hard Word Problems Four extra large sandwiches of exactly the same size were ordered for
197 PS Hard Algebra Which of the following equations has 1 2 as one of its roots
198 PS Hard Percents and Interest Problems In country c the unemployment rate among construction worke
199 PS Medium Probability In a box of 12 pens a total of 3 are defective if a customer buys
200 PS Very Hard Statistics and Sets Problems At a certain fruit stand the price of each apple is 40 cents and the
201 PS Hard Percents and Interest Problems A pharmaceutical company received 3 million in royalties
202 PS Very Hard Word Problems The light in a restroom operates with a 15 minute timer that is reset
203 PS Hard Geometry The parallelogram shown has four sides of equal length what is the
204 PS Easy Exponents/Powers If p is the product of the integers from 1 to 30 inclusive
205 PS Hard Divisibility/Multiples/Factors If n 3 8 2 8 which of the following is not a factor of
206 PS Hard Algebra/Exponents/Powers/Geometry In the figure shown if the area of the shaded region is 3 times
207 PS Hard Remainders/Word Problems Club x has more than 10 but fewer than 40 members sometimes the membe
208 PS Medium Work/Rate Problems In order to complete a reading assignment on time terry
209 PS Easy Algebra If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?
210 PS Hard Number Properties If 3 < x < 100, for how many values of x is x/3 the square
211 PS Hard Combinations A researcher plans to identify each participant in a certain medical
212 PS Hard Coordinate Geometry The graph of which of the following equations is a straight line that
213 PS Medium Algebra/Min/Max Problems An object thrown directly upward is at a height of h feet
214 PS Easy Inequalities Which of the following is equivalent to the pair of
215 PS Easy Word Problems David has d books which is 3 times as many as jeff and
216 PS Easy Combinations There are 8 teams in a certain league and each team plays each of the
217 PS Very Hard Word Problems At his regular hourly rate don had estimated the labor cost
218 PS Easy Inequalities/Must or Could be True If p/q < 1 and p and q are positive integers which of the
219 PS Medium Word Problems To mail a package the rate is x cents for the first pound
220 PS Medium Percents and Interest Problems If money is invested at r percent interest compounded annua
221 PS Medium Word Problems/Distance/Rate Problem On a recent trip cindy drove her car 290 miles rounded to
222 PS Easy Absolute Values/Modulus/Inequalitie Which of the following inequalities is an algebraic expressi
223 PS Easy Statistics and Sets Problems/Word P In a small snack shop the average arithmetic mean revenue
224 PS Easy Number Properties If y is the smallest positive integer such that
225 PS Medium Arithmetic/Functions and Custom Cha If is the greatest integer less than or equal to x what is the va
226 PS Medium Sequences/Statistics and Sets Probl In the first week of the year nancy saved
227 PS Easy Sequences In a certain sequence the term xn is given by the formula
228 PS Medium Distance/Rate Problems During a trip francine traveled x percent of the total distance at an
229 PS Medium Exponents/Powers/Number Properties If n = (33)^43 + (43)^33 what is the units digit of n?
230 PS Medium Combinations Team a and team b are competing against each other in a game
231 PS Very Hard Geometry A border of uniform width is placed around a rectangular
232 PS Hard Fractions/Ratios/Decimals/Exponents If d=1/(2^3*5^7) is expressed as a terminating decimal, how many nonze
233 PS Hard Number Properties/Arithmetic For any positive integer n the sum of the first n positive integers
234 PS Medium Word Problems November 16, 2001, was a Friday. If each of the years 2004, 2008, and
235 PS Medium Number Properties How many prime numbers between 1 and 100 are factors of
236 PS Very Hard Sequences A sequence of numbers a1 a2 a3 is defined as follows a1 3 a2
237 PS Very Hard Percents and Interest Problems Last year the price per share of stock x increased by k percent and
238 PS Very Hard Overlapping Sets/Word Problems Of the 300 subjects who participated in an experiment using virtual re
239 PS Hard Geometry The outer dimensions of a closed rectangular cardboard box are 8 centi
240 PS Easy Exponents/Powers If m^(-1) = -1/3 then m^(-2) is equal to
241 PS Very Hard Percents and Interest Problems A photography dealer ordered 60 model x cameras to be sold
242 PS Hard Min/Max Problems/Fractions/Ratios/D Seven pieces of rope have an average arithmetic mean lengt
243 PS Easy Sequences What is the difference between the sixth and the fifth terms
244 PS Hard Arithmetic/Min/Max Problems From the consecutive integers 10 to 10 inclusive
245 PS Hard Combinations The letters d g i i and t can be used to form 5 letter strings as
246 PS Very Hard Algebra/Arithmetic/Number Propertie 0.99999999/1.0001 – 0.99999991/1.0003 =
247 PS Very Hard Arithmetic/Percents and Interest Pr Last sunday a certain store sold copies of newspaper a for
248 PS Easy Statistics and Sets Problems For the past n days the average arithmetic mean daily
249 PS Medium Coordinate Geometry In the coordinate system above which of the following is the equation
250 PS Easy Arithmetic If a two digit positive integer has its digits reversed the resulting
251 PS Easy Algebra In an electric circuit two resistors with resistances x and
252 PS Easy Probability Xavier yvonne and zelda each try independently to solve a
253 PS Easy Algebra/Must or Could be True Quest If 1/x – 1/(x+1) = 1/(x+4), then x could be
254 PS Easy Arithmetic/Exponents/Powers (1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1)
255 PS Hard Geometry The figure shown above consists of a shaded 9 sided polygon and 9 un
256 PS Very Hard Min/Max Problems List t consist of 30 positive decimals none of which is an integer
257 PS Easy Algebra If 5 6 x x then x has how many possible values
258 PS Medium Mixture Problems Seed mixture x is 40 percent ryegrass and 60 percent
259 PS Hard Geometry In the figure above, ABCD is a parallelogram and E is the midpoint of
260 PS Very Hard Inequalities How many of the integers that satisfy the inequality x 2 x
261 PS Very Hard Overlapping Sets Of the 150 houses in a certain development 60 percent have
262 PS Easy Exponents/Powers/Algebra The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is

## Data Sufficiency

# ID Difficulty Primary Category Question Text
263 DS Easy Word Problems What is the number of pages of a certain journal article the size of
264 DS Easy Word Problems If a certain vase contains only roses and tulips how many tulips are
265 DS Easy Geometry In the xy-coordinate plane above, what are the coordinates of point N
266 DS Easy Algebra The cost of 10 pounds of apples and 2 pounds of grapes was
267 DS Easy Statistics and Sets Problems What was the median annual salary for the employees at compan
268 DS Easy Arithmetic How many basic units of currency x are equivalent to 250 basi
269 DS Medium Geometry In the xy-coordinate plane, what are the x-coordinates of the four ver
270 DS Easy Word Problems A company bought 3 printers and 1 scanner what was the price of the
271 DS Easy Geometry In the figure above point d is on ac what is the degree measure of
272 DS Easy Fractions/Ratios/Decimals/Word Prob Each of the 256 solid colored marbles in a box is either blue green
273 DS Easy Fractions/Ratios/Decimals/Mixture P A certain mixture of paint requires blue yellow and red paints in
274 DS Easy Overlapping Stets There are 2 groups of students who took a history test. Was the averag
275 DS Easy Word Problems The research funds of a certain company were divided among three depar
276 DS Easy Word Problems In a certain class some students donated cans of food to a local food
277 DS Easy Statistics and Sets Problems Each of the n employees at a certain company has a different annual sa
278 DS Easy Word Problems In a recent town election what was the ratio of the number of votes
279 DS Easy Word Problems How many men are in a certain company s vanpool program
280 DS Easy Probability Each of the marbles in a jar is either red or white or blue if one ma
281 DS Easy Geometry In the figure above what is the value of z
282 DS Easy Percent and Interest Problems What is the value of 10 percent of y
283 DS Easy Word Problems Last semester professor k taught two classes a and b each student
284 DS Easy Word Problems Was the amount of john s heating bill for february greater than it was
285 DS Easy Sequences If sequence s has 120 terms what is the 105th term of s
286 DS Medium Geometry If all of the six faces of a concrete block are rectangular, what is
287 DS Easy Work/Rate Problems Machine r and machine s work at their respective constant rates how
288 DS Easy Inequalities If u > 0 and v > 0, which is greater, u^v or v^u?
289 DS Easy Word Problems What was the range of the selling prices of the 30 wallets sold by a
290 DS Easy Word Problems Three houses are being sold through a real estate agent
291 DS Easy Algebra If a + b + c = 12, what is the value of b? (1) a + b = 8 (2) b + c = 6
292 DS Easy Inequalities Is rw = 0?
293 DS Easy Algebra Is x = 1/y?
294 DS Easy Overlapping Sets How many people in a group of 50 own neither a fax machine nor a laser
295 DS Easy Exponents/Powers What is the value of w^(-2)
296 DS Easy Exponents/Powers What is the value of z in the figure above?
297 DS Easy Percent and Interest Problems A certain investment earned a fixed rate of 4 percent interest per yea
298 DS Easy Coordinate Geometry/Geometry What is the circumference of circle c 1 the radius of circle c is
299 DS Easy Algebra What is the value of t
300 DS Easy Word Problems For a certain car repair the total charge consisted of a charge for p
301 DS Easy Overlapping Sets George has a total of b books in his library 25 of which are hardcove
302 DS Easy Number Properties Is w + h^4 positive? 1 h is positive 2 w is positive
303 DS Easy Fractions/Ratios/Decimals/Inequalit If a is a 3 digit integer and b is a 3 digit integer is the units
304 DS Easy Percent and Interest Problems In each of the last five years company k donated p percent of its
305 DS Medium Geometry Is the area of the triangular region above less than
306 DS Easy Arithmetic A b c and d are points on a line if c is the midpoint of line segm
307 DS Medium Word Problems The people in a line waiting to buy tickets to a show are standing one
308 DS Easy Geometry Square abcd is inscribed in circle o what is the area of square regio
309 DS Easy Coordinate Geometry Lines k and m are parallel to each other is the slope of
310 DS Easy Geometry In cross section a tunnel that carries one lane of one way traffic is
311 DS Easy Overlapping Sets In a certain group of 50 people how many are doctors who have a law
312 DS Medium Overlapping Sets Of a group of 50 households how many have at least one cat or at
313 DS Medium Percent and Interest Problems Robin invested a total of 12 000 in two investments x and y so that
314 DS Easy Probability In a real estate office that employs n salespeople f of them are fema
315 DS Easy Inequalities Is (x + 1)/(y + 1) > x/y?
316 DS Easy Word Problems Do at least 60 percent of the students in pat s class walk to school
317 DS Medium Word Problems A certain plumber charges 92 for each job completed in 4 hours or
318 DS Medium Inequalities If x and y are positive numbers is (x + 1)/(y + 1) > x/y
319 DS Medium Fractions/Ratios/Decimals/Inequalit If a and b are positive integers is a/b < 9/11
320 DS Easy Overlapping Sets Every object in a box is either a sphere or a cube and every object
321 DS Medium Divisibility/Multiples/Factors/Numb If x and y are positive integers is xy even
322 DS Medium Number Properties If a and b are integers is a + b + 3 an odd integer
323 DS Easy Algebra If x and y are positive integers what is the value of x^(1/2) + y^(1/2)
324 DS Easy Word Problems/Distance/Rate Problem A certain truck uses 1 12 kv 2 gallons of fuel per mile when its spee
325 DS Medium Algebra In the figure shown, is l1||l2 ?
326 DS Easy Word Problems/Distance/Rate Problem What is the volume of the right circular cylinder X ?
327 DS Easy Number Properties If r and s are positive integers is r s even
328 DS Medium Geometry In the figure above pqr has angle measures as shown is x y
329 DS Medium Sequences If s is a set of odd integers and 3 and 1 are in s is 15 in s
330 DS Medium Number Properties Is the integer x a 3 digit integer 1 x is the square of an integer
331 DS Easy Sequences If the 1st term of a sequence is 0 and the 2nd term is 1 is the 5th
332 DS Medium Number Properties Is the sum of four particular integers even 1 two of the integers
333 DS Easy Word Problems If a school district paid a total of 35 per desk for x desks and a to
334 DS Easy Algebra/Word Problems Three children inherited a total of x dollars if the oldest child inh
335 DS Easy Algebra If xyz 0 what is the value of x 4z 2 z 2y
336 DS Medium Algebra If a and b are integers and b 0 does a 1 b 1 a b
337 DS Easy Sequences In a sequence of numbers in which each term is 2 more than the precedi
338 DS Easy Divisibility/Multiples/Factors Is the integer p divisible by 5 1 p is divisible by 10 2 p is
339 DS Medium Number Properties The 9 squares above are to be filled with x s and o s with only one
340 DS Easy Number Properties Is the sum of two integers divisible by 10 1 one of the integers
341 DS Easy Algebra/Number Properties Is x an integer 1 x 3 8 2 x
342 DS Medium Word Problems If a building has 6 000 square meters of floor space how many offices
343 DS Medium Number Properties If p r and s are consecutive integers in ascending order and x is th
344 DS Medium Algebra If m and n are integers what is the value of m n
345 DS Medium Geometry In the figure above rst is a triangle with angle measures as shown an
346 DS Medium Geometry If r s and t are points on a line and if r is 5 meters from t and
347 DS Easy Number Properties Is n equal to zero 1 the product of n and some nonzero number is
348 DS Easy Arithmetic On a map 1 2 inch represents 100 miles according to this map how ma
349 DS Medium Remainders What is the remainder when the positive integer n is divided by
350 DS Easy Functions and Custom Characters/Num If r and s are positive numbers and is one of the operations
351 DS Hard Sequences In any sequence of n nonzero numbers a pair of consecutive terms with
352 DS Medium Absolute Values/Modulus/Word Proble Jack picked 76 apples of these he sold 4y apples to juanita and 3t a
353 DS Medium Algebra What number is 6 more than x y 1 y is 3 less than x 2 y is t
354 DS Medium Word Problems The total price of 5 pounds of regular coffee and 3 pounds of decaffei
355 DS Medium Exponents/Powers/Inequalities If a and b are integers is a 5 4 b 1 a 3 27 2 b
356 DS Medium Geometry If each side of parallelogram p has length 1 what is the area of p
357 DS Medium Remainders If x is an integer greater than 0 what is the remainder when x is div
358 DS Medium Fractions/Ratios/Decimals A certain painting job requires a mixture of yellow green and white
359 DS Medium Inequalities Is the average arithmetic mean of the numbers x y and z greater th
360 DS Very Hard Geometry Is the point q on the circle with center c
361 DS Hard Geometry In the figure above if a b and c are the areas respectively of th
362 DS Very Hard Fractions/Ratios/Decimals/Word Prob A company produces a certain toy in only 2 sizes small or large and
363 DS Medium Geometry Is quadrilateral pqrs a parallelogram 1 adjacent sides pq and qr
364 DS Medium Geometry In the figure above the vertices of opq and qrs have coordinates as
365 DS Medium Sequences After the first two terms in a sequence of numbers each term in the
366 DS Medium Word Problems Jones has worked at firm x twice as many years as green and green has
367 DS Medium Geometry In jkl shown above what is the length of segment jl
368 DS Medium Geometry A six sided mosaic contains 24 triangular pieces of tile of the same
369 DS Medium Geometry If in the figure above abcd is a rectangular region what is the val
370 DS Medium Geometry A noncompressible ball in the shape of a sphere is to be passed throug
371 DS Hard Geometry In the figure above what is the area of region pqrst 1 pq rs
372 DS Medium Geometry The figure above represents a box that has the shape of a cube what i
373 DS Medium Geometry If x and y are the lengths of the legs of a right triangle what is th
374 DS Medium Geometry In the figure above pqrt is a rectangle what is the length of segmen
375 DS Medium Word Problems On june 1 mary paid omar 360 for rent and utilities for the month of
376 DS Medium Algebra If x 2t and y t 3 what is the value of x 2 y
377 DS Medium Statistics and Sets Problems The 10 students in a history class recently took an examination what
378 DS Hard Statistics and Sets Problems/Word P Last school year each of the 200 students at a certain high school at
379 DS Medium Word Problems A clothing manufacturer makes jackets that are wool or cotton or a co
380 DS Medium Divisibility/Multiples/Factors If n is an integer what is the greatest common divisor of 12 and n
381 DS Medium Word Problems Each month jim receives a base salary plus a 10 percent commission on
382 DS Medium Divisibility/Multiples/Factors If x is a positive integer greater than 1 what is the value of x
383 DS Easy Percent and Interest Problems By what percent was the price of a certain television set discounted
384 DS Hard Geometry/Word Problems Jack wants to use a circular rug on his rectangular office floor to co
385 DS Medium Mixture Problems A paint mixture was formed by mixing exactly 3 colors of paint by vol
386 DS Easy Arithmetic/Number Properties In the multiplication table above each letter represents an integer
387 DS Easy Exponents/Powers/Inequalities If n is an integer is 0 1 n greater than 10 n
388 DS Medium Word Problems For a basic monthly fee of f yen noako s first cell phone allowed him
389 DS Hard Word Problems Is the sum of the prices of the 3 books that shana bought less than
390 DS Medium Arithmetic/Number Properties If r and t are three digit positive integers is r greater than t
391 DS Easy Arithmetic/Number Properties Is the product of two positive integers x and y divisible by the sum o
392 DS Medium Algebra If a and b are constants is the expression
393 DS Very Hard Word Problems A company makes and sells two products p and q the costs per unit of
394 DS Medium Probability Jill has applied for a job with each of two different companies what
395 DS Easy Word Problems A certain computer company produces two different monitors, P and Q.
396 DS Medium Distance/Rate Problems A conveyor belt moves bottles at a constant speed of 120 centimeters
397 DS Medium Statistics and Sets Problems If x y and z are positive numbers what is the value of the average ar
398 DS Medium Geometry The rectangular rug shown in the figure above has an accent border
399 DS Easy Number Properties/Algebra If y 2xz what is the value of 2xz yz 2xz y
400 DS Medium Geometry In the parallelogram shown what is the value of x
401 DS Easy Overlapping Sets In a product test of a common cold remedy x percent of the patients
402 DS Medium Inequalities Is x < 5 (1) x^2 > 5 (2) x^2 + x < 5
403 DS Medium Fractions/Ratios/Decimals/Word Prob Three roommates bela gyorgy and janos together saved money for a tri
404 DS Medium Exponents/Powers/Inequalities/Numbe Is zp negative
405 DS Hard Word Problems In each game of a certain tournament a contestant either loses 3 poin
406 DS Hard Fractions/Ratios/Decimals At the beginning of the year the finance committee and the planning c
407 DS Medium Inequalities If xy ≠ 0 is x^3 + y^3 > 0
408 DS Hard Percent and Interest Problems Max purchased a guitar for a total of 624 which consisted of the pric
409 DS Hard Geometry A pentagon with 5 sides of equal length and 5 interior angles of equal
410 DS Medium Inequalities If 2 00x and 3 00y are 2 numbers in decimal form with thousandths digi
411 DS Hard Geometry The length width and height of a rectangular box in centimeters ar
412 DS Medium Number Properties What is the sum of a certain pair of consecutive odd integers
413 DS Medium Algebra Is x = y? (1) 2x/3 – y/3 = 1/3 (2) x/4 – y/4 = 0
414 DS Medium Number Properties The sum of 4 different odd integers is 64 what is the value of the
415 DS Medium Word Problems Was the number of books sold at bookstore x last week greater than the
416 DS Hard Geometry A rectangular solid has length width and height of l cm w cm and h
417 DS Hard Statistics and Sets Problems A certain list l contains a total of n numbers not necessarily dist
418 DS Medium Word Problems/Percent and Interest From may 1 to may 30 in the same year the balance in a
419 DS Hard Percent and Interest Problems/Word A merchant discounted the sale price of a coat and the sale price of a
420 DS Medium Number Properties If the positive integer n is added to each of the integers 69 94 and
421 DS Medium Word Problems If a merchant purchased a sofa from a manufacturer for 400 and then s
422 DS Easy Word Problems Last year in a certain housing development the average arithmetic m
423 DS Very Hard Word Problems For a certain city s library the average cost of purchasing each new
424 DS Hard Statistics and Sets Problems If x is a number in the list above what is the median of the list
425 DS Hard Word Problems Three dice each of which has its 6 sides numbered 1 through 6 are to
426 DS Hard Geometry/Number Properties On the number line point r has coordinate r and point t has coordinat
427 DS Medium Word Problems Did the population of Town C increase by at least 100 percent from the
428 DS Easy Combinations/Coordinate Geometry S is a set of points in the plane how many distinct triangles can be
429 DS Medium Word Problems Stores land m each sell a certain product at a different
430 DS Easy Fractions/Ratios/Decimals If d denotes a decimal is d
431 DS Very Hard Arithmetic/Functions and Custom Cha In the two digit integers 3 box and 2 bigtriangleup the
432 DS Hard Fractions/Ratios/Decimals Two points n and q not shown lie to the right of point m on line
433 DS Medium Word Problems Did the sum of the prices of three shirts exceed
434 DS Medium Word Problems What is the total number of coins that bert and claire have
435 DS Medium Word Problems A telephone station has x processors each of which can process a maxi
436 DS Very Hard Algebra/Word Problems Kim and sue each bought some roses and some daisies at the prices show
437 DS Medium Percent and Interest Problems Jazz and blues recordings accounted for 6 percent of the 840 million
438 DS Medium Distance/Rate Problems On a certain nonstop trip marta averaged x miles per hour for 2 hours
439 DS Hard Number Properties If x is a positive integer what is the value of x 24 1 2 x
440 DS Medium Geometry A tank is filled with gasoline to a depth of exactly 2 feet the tank
441 DS Medium Coordinate Geometry Of the four numbers represented on the number line above is
442 DS Hard Word Problems A group consisting of several families visited an amusement park where
443 DS Easy Geometry What is the area of triangular region abc above
444 DS Medium Coordinate Geometry In the xy coordinate plane is point r equidistant from
445 DS Medium Statistics and Sets Problems What is the ratio of the average arithmetic mean height of
446 DS Very Hard Arithmetic Is the positive two digit integer n less than
447 DS Medium Algebra/Exponents/Powers If 2^x + y = 4^8 what is the value of y
448 DS Hard Word Problems Each week a certain salesman is paid a fixed amount equal to
449 DS Easy Word Problems At a bakery all donuts are priced equally and all bagels
450 DS Very Hard Geometry In the figure above is the area of triangular region abc
451 DS Medium Number Properties/Divisibility/Mult If r and s are positive integers can the fraction r s be expressed as
452 DS Easy Inequalities If r > 0 and s > 0 is r/s < s/r
453 DS Hard Remainders If k is an integer such that 56 k 66 what is the value
454 DS Hard Number Properties If x is a positive integer then is x prime 1 3x 1 is prime 2 5x
455 DS Easy Statistics and Sets Problems What is the value of n in the list above
456 DS Easy Inequalities If x and y are integers what is the value of x y
457 DS Hard Percent and Interest Problems/Word Last year if arturo spent a total of 12 000 on his mortgage
458 DS Medium Inequalities If a b c and d are positive numbers is a b c d
459 DS Medium Overlapping Sets Is the number of members of club x greater than the number
460 DS Easy Statistics and Sets Problems On the number line above p q r s and t are five consec
461 DS Medium Functions and Custom Characters If denotes the least integer greater than or equal to x
462 DS Hard Inequalities If x and y are integers is x y
463 DS Medium Algebra/Inequalities If r and s are the roots of the equation x 2 bx c
464 DS Very Hard Geometry The figure above represents an l shaped garden what is the value of k
465 DS Medium Word Problems The only articles of clothing in a certain closet are shirts dresses
466 DS Easy Graphs and Illustrations/Geometry The figure above represents a circle graph of company h s total expens
467 DS Hard Inequalities If x is negative is x
468 DS Medium Geometry What is the number of cans that can be packed in a certain
469 DS Hard Graphs and Illustrations/Arithmetic Each of the letters in the table above represents one of the
470 DS Very Hard Mixture Problems Material a costs 3 per kilogram and material b costs 5 per kilogram
471 DS Easy Distance/Rate Problems At what speed was a train traveling on a trip when it had
472 DS Hard Statistics and Sets Problems Tom jane and sue each purchased a new house the average
473 DS Hard Algebra/Inequalities What is the value of x if x 3 x
474 DS Very Hard Min/Max Problems/Functions and Cust For any integers x and y min x y and max x y denote the
475 DS Easy Statistics and Sets Problems A certain bookcase has 2 shelves of books on the upper
476 DS Very Hard Geometry In the figure above points a b c d and e lie on a line a is on
477 DS Hard Distance/Rate Problems In planning for a trip joan estimated both the distance of the trip
478 DS Very Hard Statistics and Sets Problems A certain list consists of 3 different numbers does the med
479 DS Very Hard Coordinate Geometry Line l lies in the xy plane and does not pass through the origin what
480 DS Hard Coordinate Geometry In the xy plane the straight line graphs of the three equations above
481 DS Very Hard Geometry In the figure above pqr and stu are identical equilateral triangles
482 DS Medium Statistics and Sets Problems The range of the numbers in set s is x and the range of the
483 DS Very Hard Geometry The hypotenuse of a right triangle is 10 cm what is the
484 DS Very Hard Fractions/Ratios/Decimals/Word Prob Six shipments of machine parts were shipped from a factory on two
485 DS Hard Arithmetic If x y and z are three digit positive integers and if x
486 DS Very Hard Overlapping Sets The table above shows the results of a survey of 100 voters who each
487 DS Very Hard Divisibility/Multiples/Factors/Word A school administrator will assign each student in a group
488 DS Hard Word Problems At a certain clothing store, customers who buy 2 shirts pay the regula
489 DS Very Hard Absolute Values/Modulus/Inequalitie If q s and t are all different numbers is q s t
490 DS Medium Statistics and Sets Problems What is the median number of employees assigned per project
491 DS Very Hard Word Problems Last year a certain company began manufacturing product x a
492 DS Very Hard Word Problems/Statistics and Sets P Beginning in january of last year carl made deposits of
493 DS Medium Word Problems Are all of the numbers in a certain list of 15 numbers equal
494 DS Easy Statistics and Sets Problems If the average arithmetic mean of six numbers is 75 how
495 DS Easy Word Problems What amount did jean earn from the commission on her sales
496 DS Easy Geometry In the figure above if the area of triangular region d is
497 DS Medium Exponents/Powers If n is a positive integer and k 5 1 10 n what is the value of k
498 DS Medium Geometry What is the value of x y in the figure above
499 DS Medium Inequalities/Roots If n and k are positive integers is n k 1 2 2n
500 DS Medium Word Problems In a certain business production index p is directly proportional to
501 DS Medium Fractions/Ratios/Decimals If n is a positive integer what is the tens digit of n
502 DS Medium Algebra What is the value of 2t t x t x