Problem Solving |

1 | PS | Easy | Percents and Interest Problems | The price of a coat in a certain store is 500 if the price of the co |

2 | PS | Easy | Fractions/Ratios/Decimals | On a vacation rose exchanged 500 00 for euros at an exchange rate |

3 | PS | Easy | Arithmetic | 1 |

4 | PS | Easy | Word Problems | Today rebecca who is 34 years old and her daughter who is 8 years |

5 | PS | Easy | Distance/Rate Problems/Word Problem | When traveling at a constant speed of 32 miles per hour a certain mot |

6 | PS | Easy | Word Problems | A case contains c cartons each carton contains b boxes and |

7 | PS | Easy | Percents and Interest Problems/Word Problems | A technician makes a round trip to and from a certain service center |

8 | PS | Easy | Coordinate Geometry | On the graph above when x 1 2 y 2 and when x 1 y |

9 | PS | Easy | Arithmetic/Percents and Interest Pr | When 1 10 percent of 5 000 is subtracted from 1 10 of |

10 | PS | Easy | Roots | Which of the following is the value of root 3rd rt |

11 | PS | Medium | Probability | Raffle tickets numbered consecutively from 101 through |

12 | PS | Medium | Percents and Interest Problems | Raffle tickets numbered consecutively from 101 through |

13 | PS | Easy | Algebra | A collection of 16 coins each with a face value of either 10 cents or |

14 | PS | Easy | Statistics and Sets Problems | The numbers of cars sold at a certain dealership on six of |

15 | PS | Easy | Percents and Interest Problems | If it is assumed that 60 percent of those who receive a questionnaire |

16 | PS | Easy | Geometry | A rectangular garden is to be twice as long as it is wide |

17 | PS | Easy | Geometry | A rectangular floor that measures 8 meters by 10 meters is to be cover |

18 | PS | Easy | Arithmetic | If 893 78 p which of the following is equal to |

19 | PS | Medium | Algebra | Thabo owns exactly 140 books and each book is either paperback fictio |

20 | PS | Easy | Arithmetic | If the average arithmetic mean of the four numbers 3 15 32 and n |

21 | PS | Easy | Absolute Values/Modules/Must or Cou | If y 1 2 11 2 which of the following could be a value |

22 | PS | Easy | Absolute Values/Modules | If k 2 m 2 which of the following must be true |

23 | PS | Easy | Algebra | Makoto nishi and ozuro were paid a total of 780 for waxing the floo |

24 | PS | Easy | Geometry | The figure above shows a path around a triangular piece of land mary |

25 | PS | Easy | Fractions/Ratios/Decimals | At a supermarket john spent 1 2 of his money on fresh fruit |

26 | PS | Easy | Statistics and Sets Problems/Word P | On monday a person mailed 8 packages weighing an average |

27 | PS | Easy | Algebra | If 1 1 25 n 1 then n |

28 | PS | Easy | Exponents/Powers/Arithmetic | Topic |

29 | PS | Easy | Geometry | A carpenter constructed a rectangular sandbox with a |

30 | PS | Easy | Word Problems | A bakery opened yesterday with its daily supply of 40 dozen |

31 | PS | Easy | Algebra | If 2x y 7 and x 2y 5 then x y |

32 | PS | Easy | Fractions/Ratios/Decimals | City x has a population 4 times as great as the population of city y |

33 | PS | Easy | Graphs and Illustrations | The graph above shows the height of the tide in feet above or below |

34 | PS | Easy | Percents and Interest Problems | 150 is what percent of |

35 | PS | Easy | Fractions/Ratios/Decimals | The ratio 2 to 1 3 is equal to the ratio |

36 | PS | Easy | Percents and Interest Problems/Word | A manufacturer of a certain product can expect that between 0 3 percen |

37 | PS | Easy | Geometry | A flat patio was built alongside a house as shown in the figure above |

38 | PS | Easy | Statistics and Sets Problems | A student s average arithmetic mean test score on 4 tests |

39 | PS | Easy | Geometry | In the figure above what is the ratio of the measure of angle b to |

40 | PS | Easy | Remainders/Work/Rate Problems | If n is a prime number greater than 3 what is the remainder |

41 | PS | Easy | Arithmetic | 1 |

42 | PS | Easy | Divisibility/Multiples/Factors | The positive two digit integers x and y have the same digits but in |

43 | PS | Easy | Min/Max Problems | John has 10 pairs of matched socks if he loses 7 individual |

44 | PS | Medium | Algebra/Word Problems | A total of s oranges are to be packaged in boxes that will hold r oran |

45 | PS | Easy | Arithmetic/Inequalities | If 0 a b c which of the following statements must be true |

46 | PS | Easy | Algebra | Which of the following equations is not equivalent to 10y |

47 | PS | Medium | Statistics and Sets Problems | The table above shows the number of packages shipped daily by each of |

48 | PS | Medium | Remainders | The dial shown above is divided into equal sized intervals at which |

49 | PS | Easy | Coordinate Geometry | The graph of the equation xy k where k 0 lies in which two of th |

50 | PS | Easy | Fractions/Ratios/Decimals | When n liters of fuel was added to a tank that was already |

51 | PS | Medium | Geometry | The smaller rectangle in the figure above represents the original size |

52 | PS | Easy | Fractions/Ratios/Decimals/Arithmeti | 1 |

53 | PS | Easy | Fractions/Ratios/Decimals | The harvest yield from a certain apple orchard was 350 bushels of appl |

54 | PS | Easy | Must or Could be True Questions/Num | If n is an integer which of the following must be even |

55 | PS | Easy | Arithmetic/Fractions/Ratios/Decimal | The sum 7 8 1 9 is between |

56 | PS | Easy | Word Problems | Car x averages 25 0 miles per gallon of gasoline and car y |

57 | PS | Easy | Absolute Values/Modules/Min/Max Pro | If y is an integer then the least possible value of |

58 | PS | Easy | Roots | Root 80 root |

59 | PS | Easy | Algebra | In the equation above k is a constant if y 17 when x |

60 | PS | Easy | Percents and Interest Problems | Of the land owned by a farmer 90 percent was cleared for planting of |

61 | PS | Easy | Sequences | At the start of an experiment a certain population consisted of |

62 | PS | Medium | Algebra/Arithmetic | If x and y are positive integers such that y is a multiple of 5 and 3x |

63 | PS | Medium | Algebra/Arithmetic | Which of the following expressions can be written as an integer |

64 | PS | Medium | Fractions/Ratios/Decimals | Four staff members at a certain company worked on a project |

65 | PS | Easy | Work/Rate Problems | Pumping alone at their respective constant rates one inlet pipe fills |

66 | PS | Easy | Coordinate Geometry | In the xy coordinate plane which of the following points must lie on |

67 | PS | Easy | Inequalities | If x 2 2 0 which of the following specifies all the possible |

68 | PS | Very Hard | Percents and Interest Problems | In western europe x bicycles were sold in each of the years 1990 and |

69 | PS | Medium | Arithmetic/Fractions/Ratios/Decimal | Which of the following fractions is closest to |

70 | PS | Easy | Algebra/Fractions/Ratios/Decimals | If p 0 and p 1 p2 p r p then r |

71 | PS | Easy | Statistics and Sets Problems | If the range of the six numbers |

72 | PS | Medium | Word Problems | A doctor prescribed 18 cubic centimeters of a certain drug to a patien |

73 | PS | Easy | Percents and Interest Problems | Company p had 15 percent more employees in december than |

74 | PS | Easy | Exponenets/Powers/Roots | The function f is defined by f x x 10 for |

75 | PS | Very Hard | Percents and Interest Problems | A glass was filled with 10 ounces of water and 0 01 ounce |

76 | PS | Easy | Algebra/Must or Could be True Quest | If x y c d and d c b a which of the following must be true |

77 | PS | Medium | Arithmetic | If k is an integer and 0 0025 0 025 0 00025 10k is an integer w |

78 | PS | Medium | Algebra | If a a 2 24 and b b 2 24 where a b then a b a |

79 | PS | Medium | Percents and Interest Problems | In a recent election ms robbins received 8 000 votes cast by indepen |

80 | PS | Easy | Geometry | In the figure shown the triangle is inscribed in the semicircle if |

81 | PS | Medium | Word Problems | On a certain day orangeade was made by mixing a certain |

82 | PS | Easy | Geometry | The figure shown above represents a modern painting that consists of f |

83 | PS | Medium | Arithmetic/Word Problems | A certain fruit stand sold apples for 0 70 each and bananas |

84 | PS | Easy | Coordinate Geometry | In the xy plane what is the slope of the line with equation |

85 | PS | Easy | Work/Rate Problems | Working simultaneously and independently at an identical constant rate |

86 | PS | Medium | Fractions/Ratios/Decimals | At a certain school the ratio of the number of second grade |

87 | PS | Medium | Arithmetic | The average distance between the sun and a certain planet is |

88 | PS | Easy | Arithmetic | The average arithmetic mean score on a test taken by 10 students was |

89 | 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 |

90 | PS | Easy | Coordinate Geometry/Geometry | In the coordinate plane a circle has center 2 3 an |

91 | PS | Easy | Percents and Interest Problems | Last year joe grew 1 inch and sally grew 200 percent more than joe gre |

92 | PS | Medium | Percents and Interest Problems | The cost c in dollars to remove p percent of a certain pollutant fro |

93 | PS | Medium | Algebra | If xy 0 and x 2y 2 xy 6 which of the following could be y in te |

94 | PS | Easy | Arithmetic | At a certain instant in time the number of cars n |

95 | PS | Easy | Arithmetic | 4 8 10 9 1 2 is closest in value to |

96 | PS | Easy | Work/Rate Problems | Three printing presses r s and t working together at th |

97 | PS | Medium | Geometry | For a party three solid cheese balls with diameters of 2 inches |

98 | PS | Medium | Arithmetic | The sum of all the integers k such that 26 k 24 is |

99 | PS | Easy | Statistics and Sets Problems/Absolu | The number line shown contains three points r s and t whose coordin |

100 | PS | Easy | Word Problems | Mark and ann together were allocated n boxes of cookies to sell for a |

101 | PS | Easy | Overlapping Sets | A certain high school has 5 000 students of these students x are |

102 | PS | Medium | Percents and Interest Problems | Yesterday s closing prices of 2 420 different stocks listed |

103 | PS | Easy | Overlapping Sets | Each person who attended a company meeting was either a stockholder in |

104 | PS | Easy | Algebra | If y 3x 5 2 y and y 0 then x |

105 | PS | Medium | Divisibility/Multiples/Factors | A gym class can be divided into 8 teams with an equal number |

106 | PS | Medium | Geometry | In the figure above triangle abc is equilateral and point |

107 | PS | Easy | Min/Max Problems | At least 2 3 of the 40 members of a committee must vote in |

108 | PS | Easy | Divisibility/Multiples/Factors | If n 20 17 then n is divisible by which of the |

109 | PS | Hard | Algebra | The product of two negative numbers is 160 if the lesser of the two |

110 | PS | Medium | Arithmetic | According to a certain estimate the depth n t in centimeters of |

111 | PS | Hard | Distance/Rate Problems | After driving to a riverfront parking lot bob plans to run |

112 | PS | Medium | Percents and Interest Problems | Alex deposited x dollars into a new account |

113 | PS | Medium | Arithmetic | M is the sum of the reciprocals of the consecutive integers |

114 | PS | Medium | Work/Rate Problems | Working simultaneously at their respective constant rates m |

115 | PS | Easy | Fractions/Ratios/Decimals | In the johnsons monthly budget the dollar amounts allocate |

116 | PS | Very Hard | Word Problems | If 1 3 of the total number of marbles in the three bags listed in the |

117 | PS | Easy | Percents and Interest Problems | Leona bought a 1 year 10 000 certificate of deposit that |

118 | PS | Medium | Arithmetic/Exponents/Powers | Topic |

119 | PS | Medium | Divisibility/Multiples/Factors | If n is an integer greater than 6 which of the following mu |

120 | PS | Easy | Statistics and Sets Problems | The table above gives the age categories of the 161 employees at compa |

121 | PS | Hard | Algebra/Inequalities | If x and y are positive numbers such that x y 1 which of the |

122 | PS | Easy | Number Properties/Divisibility/Mult | If n is a positive integer and the product of all integer |

123 | PS | Medium | Probability | The probability that event m will not occur is 0 8 and the probability |

124 | PS | Easy | Word Problems | The total cost for company x to produce a batch of tools i |

125 | PS | Medium | Arithmetic/Statistics and Sets Prob | If q is an odd number and the median of q consecutive |

126 | PS | Easy | Geometry | A ladder of a fire truck is elevated to an angle of 60 and |

127 | PS | Medium | Geometry | The window in the figure above consists of a rectangle and a semicircl |

128 | PS | Very Hard | Fractions/Ratios/Decimals | If there are fewer than 8 zeroes between the decimal point and the |

129 | PS | Hard | Combinations | A three digit code for certain locks uses the digits |

130 | PS | Medium | Algebra/Mixture Problems | Jackie has two solutions that are 2 percent sulfuric acid |

131 | PS | Easy | Word Problems | If jake loses 8 pounds he will weigh twice as much as his |

132 | PS | Medium | Overlapping Sets | Last year 26 members of a certain club traveled to england 26 members |

133 | PS | Easy | Percents and Interest Problems | A store reported total sales of 385 million for february of |

134 | PS | Medium | Remainders | When positive integer x is divided by positive integer y |

135 | PS | Easy | Arithmetic | 1 |

136 | PS | Easy | Fractions/Ratios/Decimals | Water consists of hydrogen and oxygen and the approximate |

137 | PS | Easy | Algebra | If x 2x 1 0 and x 1 2 2x 3 0 then x |

138 | PS | Very Hard | Geometry | Figures x and y above show how eight identical triangular pieces of ca |

139 | PS | Medium | Number Properties/Exponents/Powers | On a scale that measures the intensity of a certain phenomen |

140 | PS | Very Hard | Min/Max Problems/Word Problems | A certain experimental mathematics program was tried out in 2 classes |

141 | PS | Easy | Statistics and Sets Problems | For the positive numbers n n 1 n 2 n 4 and n |

142 | PS | Very Hard | Geometry | The interior of a rectangular carton is designed by a certai |

143 | PS | Easy | Algebra | If t 5 9 k 32 and if t 290 then k |

144 | PS | Easy | Fractions/Ratios/Decimals/Mixture P | The present ratio of students to teachers at a certain |

145 | PS | Easy | Exponents/Powers/Inequalities | What is the smallest integer n for which 25 n |

146 | PS | Easy | Probability | Sixty percent of the members of a study group are women and |

147 | PS | Hard | Arithmetic/Word Problems | Each year for 4 years a farmer increased the number of tree |

148 | PS | Medium | Graphs and Illustrations/Statistics | According to the chart shown which of the following is |

149 | PS | Medium | Divisibility/Multiples/Factors/Expo | For the positive integers a b and k a k b means that a k |

150 | PS | Hard | Statistics and Sets Problems | A certain characteristic in a large population has a |

151 | PS | Hard | Word problems | Four extra large sandwiches of exactly the same size were ordered for |

152 | PS | Hard | Algebra | Which of the following equations has 1 2 as one of its roots |

153 | PS | Hard | Percents and Interest Problems | In country c the unemployment rate among construction worke |

154 | PS | Medium | Probability | In a box of 12 pens a total of 3 are defective if a customer buys |

155 | PS | Very Hard | Statistics and Sets Problems | At a certain fruit stand the price of each apple is 40 cents and the |

156 | PS | Hard | Percents and Interest Problems/Frac | A pharmaceutical company received 3 million in royalties |

157 | PS | Very Hard | Geometry | The parallelogram shown has four sides of equal length what is the |

158 | PS | Medium | Number Properties/Divisibility/Mult | If p is the product of the integers from 1 to 30 inclusiv |

159 | PS | Hard | Divisibility/Multiples/Factors | If n 3 8 2 8 which of the following is not a factor of |

160 | PS | Hard | Algebra/Exponents/Geometry | In the figure shown if the area of the shaded region is 3 times |

161 | PS | Hard | Remainders/Word Problems | Club x has more than 10 but fewer than 40 members sometimes |

162 | PS | Medium | Work/Rate Problems | In order to complete a reading assignment on time terry |

163 | PS | Easy | Algebra | If s 0 and r s 1 2 s what what is r in terms of s |

164 | PS | Medium | Inequalities | If a 0 3 which of the following is true |

165 | PS | Easy | Percents and Interest Problems | Mary s income is 60 percent more than tim s income and tim |

166 | PS | Medium | Combinations | Each in the mileage table above represents an entry indic |

167 | PS | Easy | Fractions/Ratios/Decimals | The ratio of the length to the width of a rectangular advert |

168 | PS | Hard | Number Properties | If 3 x 100 for how many values of x is x 3 the square |

169 | PS | Hard | Combinations | A researcher plans to identify each participant in a certain |

170 | PS | Medium | Coordinate Geometry | The graph of which of the following equations is a straight line that |

171 | PS | Medium | Algebra/Min/Max Problems | An object thrown directly upward is at a height of h feet |

172 | PS | Easy | Inequalities | Which of the following is equivalent to the pair of |

173 | PS | Easy | Word Problems | David has d books which is 3 times as many as jeff and |

174 | PS | Easy | Combinations | There are 8 teams in a certain league and each team plays |

175 | PS | Easy | Functions and Custom Characters | An operation is defined by the equation a b a b a |

176 | PS | Hard | Percents and Interest Problems/Word | The price of lunch for 15 people was 207 00 including a |

177 | PS | Easy | Word Problems | At his regular hourly rate don had estimated the labour cos |

178 | PS | Easy | Inequalities/Must or Could be True | If p q 1 and p and q are positive integers which of the |

179 | PS | Easy | Work/Rate Problems | It would take one machine 4 hours to complete a large produc |

180 | PS | Medium | Word Problems | To mail a package the rate is x cents for the first pound |

181 | PS | Medium | Percents and Interest Problems | If money is invested at r percent interest compounded annua |

182 | PS | Medium | Word Problems/Distance/Rate Problem | On a recent trip cindy drove her car 290 miles rounded t |

183 | PS | Easy | Absolute Values/Modules/Inequalitie | Which of the following inequalities is an algebraic expressi |

184 | PS | Easy | Statistics and Sets Problems/Word P | In a small snack shop the average arithmetic mean revenue |

185 | PS | Easy | Arithmetic | A certain country had a total annual expenditure of 1 2 x |

186 | PS | Easy | Combinations | The diagram above shows the various paths along which a mous |

187 | PS | Easy | Algebra/Functions and Custom Charac | If the operation is defined by x y xy 1 2 for all |

188 | PS | Medium | Fractions/Ratios/Decimals/Exponents | A bar over a sequence of digits in a decimal indicates tha |

189 | PS | Medium | Fractions/Ratios/Decimals/Word Prob | At a loading dock each worker on the night crew loaded |

190 | PS | Easy | Number Properties | If y is the smallest positive integer such tha |

191 | PS | Medium | Arithmetic/Functions and Custom Cha | If is the greatest integer less than or equal to x what |

192 | PS | Medium | Sequences | In the first week of the year nancy saved |

193 | PS | Easy | Sequences | In a certain sequence the term xn is given by the formula |

194 | PS | Easy | Probability | On saturday morning malachi will begin a camping vacation |

195 | PS | Medium | Distance/Rate Problems | During a trip francine traveled x percent of the tota |

196 | PS | Medium | Exponents/Powers | If n 33 43 43 33 what is the units digit of n |

197 | PS | Very Hard | Geometry | A border of uniform width is placed around a rectangular |

198 | PS | Hard | Fractions/Ratios/Decimals | If d 1 2 3 5 7 is expressed as a terminating decimal how |

199 | PS | Medium | Number Properties/Arithmetic | For any positive integer n the sum of the first n positive |

200 | PS | Medium | Number Properties | How many prime numbers between 1 and 100 are factors of |

201 | PS | Very Hard | Sequences | A sequence of numbers a1 a2 a3 is defined as follows a1 3 a2 |

202 | PS | Very Hard | Percents and Interest Problems | Last year the price per share of stock x increased by |

203 | PS | Very Hard | Overlapping Sets/Word Problems | Of the 300 subjects who participated in an experiment using |

204 | PS | Easy | Exponents/Powers | If m 1 1 3 then m 2 is equal to |

205 | PS | Very Hard | Percents and Interest Problems | A photography dealer ordered 60 model x cameras to be sold |

206 | PS | Hard | Min/Max Problems/Fractions/Ratios/D | Seven pieces of rope have an average arithmetic mean lengt |

207 | PS | Easy | Sequences | What is the difference between the sixth and the fifth terms |

208 | PS | Very Hard | Arithmetic/Min/Max Problems | From the consecutive integers 10 to 10 inclusive |

209 | PS | Very Hard | Combinations | The letters d g i i and t can be used to form 5 letter strings as |

210 | PS | Very Hard | Arithmetic/Percents and Interest Pr | Last sunday a certain store sold copies of newspaper a for |

211 | PS | Very Hard | Algebra/Arithmetic | Topic |

212 | PS | Easy | Coordinate Geometry/Geometry | In the rectangular coordinate system above if point r not |

213 | PS | Easy | Distance/Rate Problems | Car a is 20 miles behind car b which is traveling in the |

214 | PS | Easy | Statistics and Sets Problems | For the past n days the average arithmetic mean daily |

215 | PS | Medium | Algebra | If x 0 and x 1 and if x is replaced by 1 x everywhere in th |

216 | PS | Easy | Geometry | In the figure above if z 50 then x y |

217 | PS | Medium | Coordinate Geometry | In the coordinate system above which of the following is |

218 | PS | Easy | Arithmetic | If a two digit positive integer has its digits reversed the |

219 | PS | Easy | Geometry | The circle with center c shown above is tangent to both axes |

220 | PS | Easy | Algebra | In an electric circuit two resistors with resistances x and |

221 | PS | Easy | Probability | Xavier yvonne and zelda each try independently to solve |

222 | PS | Easy | Algebra/Must or Could be True Quest | If 1 x 1 x 1 1 x 4 then x could be |

223 | PS | Easy | Arithmetic/Exponents/Powers | 1 |

224 | PS | Very Hard | Min/Max Problems | List t consist of 30 positive decimals none of which is an |

225 | PS | Easy | Number Properties | In a certain game a large container is filled with red yel |

226 | PS | Medium | Overlapping Sets | Of the 200 students at college t majoring in one or more of |

227 | PS | Easy | Algebra | If 5 6 x x then x has how many possible values |

228 | PS | Medium | Mixture Problems | Seed mixture x is 40 percent ryegrass and 60 percen |

229 | PS | Very Hard | Inequalities | How many of the integers that satisfy the inequality x 2 x |

230 | PS | Easy | Arithmetic/Exponents/Powers | The value of 2 14 2 15 2 16 2 17 5 is |