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Quantitative Reasoning – Set 2
#1. Evaluate: 8 + 12 ÷ 4 × 3 – 5
#2. Simplify: 15 – (8 – 3) + 4 × 2
#3. Calculate: 6 × (9 – 4) + 18 ÷ 3
#4. Evaluate: 45 ÷ 5 + 3 × (7 – 2)
#5. Simplify: (24 + 16) ÷ 8 – 2
#6. Calculate: 100 – 4² × 3 + 12
#7. Evaluate: 2³ + 5 × 6 – 18 ÷ 3
#8. Simplify: 72 ÷ (4 + 4) × 3
#9. Calculate: 5 + 3² × 2 – 7
#10. Evaluate: 60 – 20 ÷ 4 + 8 × 2
#11. Which property is demonstrated by: 7 × (4 + 9) = 7 × 4 + 7 × 9?
#12. Apply the distributive property to simplify: 6(x + 11). What coefficient is x multiplied by?
#13. If 13 × 8 = 8 × 13 which property is illustrated?
#14. Use the distributive property: 9(15) = 9(10 + 5) = 9(10) + 9(5). What is the result?
#15. Simplify using properties: 25 × 17 × 4 = (25 × 4) × 17. What is the value?
#16. What is the greatest common factor (GCF) of 48 and 72?
#17. What is the least common multiple (LCM) of 15 and 20?
#18. Which of the following is a prime number?
#19. How many prime numbers are between 30 and 50?
#20. What is the GCF of 84 and 126?
#21. What is the LCM of 18 and 24?
#22. What is the prime factorization of 180?
#23. How many factors does 36 have?
#24. What is the smallest prime number greater than 60?
#25. What is the GCF of 56 and 98 and 126?
#26. Evaluate: |-17| + |9|
#27. Calculate: |23 – 41|
#28. Evaluate: |-45| – |13|
#29. Calculate: |8 – 19| + |-7|
#31. What is the distance between -28 and 15 on a number line?
#32. Calculate: |−52| ÷ 4
#33. Evaluate: |-9| × |6| – 20
#34. A warehouse has 847 boxes. If 369 are shipped out and 512 arrive how many boxes are now in the warehouse?
#35. Evaluate: 144 ÷ 12 + 7 × 8 – 19
#36. Calculate: (18 + 27) ÷ 9 × 7
#37. Simplify: 11² – 8² + 15
#38. A factory produces 1456 widgets per day. How many widgets are produced in 7 days?
#39. Evaluate: 200 – 3 × (15 + 9) ÷ 4
#40. Calculate: 7³ – 2⁴ × 5
#41. A theater has 28 rows with 34 seats per row. How many total seats are there?
#42. Simplify: 96 ÷ (8 – 2) + 11 × 5
#43. Calculate: 4 × 6² – 48 ÷ 6
#44. A bookstore ordered 1825 books. If they are packed in boxes of 25 how many boxes are needed?
#45. Evaluate: (36 – 18) ÷ 3 + 9 × 4
#46. Calculate: 5 × (14 – 6) – 32 ÷ 4
#47. What is the value of 2⁶ + 3³?
#48. A construction crew lays 248 bricks per hour. How many bricks can they lay in 9 hours?
#49. Convert 7/8 to a decimal.
#50. Convert 0.68 to a fraction in simplest form.
#51. Express 3/5 as a percent.
#52. Convert 0.375 to a fraction in simplest form.
#53. Express 134% as a decimal.
#54. Convert 5/16 to a decimal.
#55. Express 0.08 as a percent.
#56. Convert 2.75 to a mixed number in simplest form.
#57. Express 9/20 as a percent.
#58. Convert 0.625 to a fraction in simplest form.
#59. Calculate: 2/3 + 5/6
#61. Calculate: 4/5 × 15/16
#62. Simplify: 3/4 ÷ 9/16
#63. Calculate: 5/6 + 7/12 – 1/3
#64. A recipe calls for 2/3 cup of sugar. If you want to make 2.5 times the recipe how many cups of sugar do you need?
#65. Simplify: 5/12 + 3/8
#66. Calculate: 11/15 – 2/5
#67. Simplify: 7/9 × 6/14
#68. Calculate: 8/9 ÷ 4/3
#69. Calculate: 15.78 + 9.346
#70. Simplify: 42.5 – 17.89
#71. Calculate: 3.6 × 7.5
#72. Simplify: 83.52 ÷ 6.4
#73. A runner completes a 5.8-mile course in 0.75 hours. What is the average speed in miles per hour?
#74. Calculate: 18.9 + 6.47 – 11.32
#75. Simplify: 8.4 × 0.95
#76. Calculate: 156.8 ÷ 3.2
#77. A gallon of paint costs $34.95. How much do 4.5 gallons cost?
#78. Calculate: 0.48 × 125
#80. 72 is what percent of 240?
#81. A laptop originally priced at $850 is on sale for 20% off. What is the sale price?
#82. A salesperson earns a 6.5% commission on sales. If they sell $12400 worth of merchandise what is their commission?
#83. A store marks up merchandise by 45%. If an item costs the store $68 what is the retail price?
#84. What is 12.5% of 960?
#85. A restaurant bill is $87.50. If you leave an 18% tip what is the total amount paid?
#86. 153 is 34% of what number?
#87. A jacket is on sale for $91 which is 65% of the original price. What was the original price?
#88. What percent of 320 is 56?
#89. A population increases from 4200 to 5040. What is the percent increase?
#90. The price of gas decreased from $3.80 per gallon to $3.42 per gallon. What is the percent decrease?
#91. A stock value rose from $45 to $54. What is the percent increase?
#92. A company reduced its workforce from 850 employees to 765 employees. What is the percent decrease?
#93. Sales increased from $78000 to $93600. What is the percent increase?
#94. If 7 notebooks cost $21 how much do 11 notebooks cost?
#95. A recipe for 8 servings calls for 3 cups of flour. How many cups are needed for 12 servings?
#96. If 5 pounds of apples cost $8.75 what is the cost of 13 pounds?
#97. A car travels 168 miles on 6 gallons of gas. How far can it travel on 9 gallons?
#98. If 4 tickets cost $78 how much do 7 tickets cost?
#99. A machine produces 240 units in 8 hours. How many units does it produce in 13 hours?
#100. If 9 workers can complete a job in 15 days how many days would it take 12 workers at the same rate?
#101. A map scale shows 2.5 inches represents 75 miles. How many miles does 7 inches represent?
#102. If 6 cans of soup cost $13.50 what is the cost of 14 cans?
#103. A printer can print 180 pages in 4 minutes. How long will it take to print 495 pages?
#104. A 16-ounce bottle of juice costs $2.88. What is the unit price per ounce?
#105. A car travels 378 miles using 14 gallons of gasoline. What is the fuel efficiency in miles per gallon?
#106. If 24 pencils cost $9.60 what is the cost per pencil?
#107. A factory produces 1764 items in 9 hours. What is the production rate per hour?
#108. A 3-pound bag of rice costs $6.27. What is the unit price per pound?
#109. A worker earns $612 for 36 hours of work. What is the hourly wage?
#110. Which is the better buy: 6 bars of soap for $11.94 or 8 bars for $15.60?
#111. A cyclist rides 117 miles in 6 hours. What is the average speed in miles per hour?
#112. A 40-ounce jar of peanut butter costs $7.20. What is the unit price per ounce?
#113. A typist types 2835 words in 45 minutes. What is the typing speed in words per minute?
#114. The ratio of boys to girls in a class is 5:7. If there are 35 boys how many girls are there?
#115. A paint mixture requires blue and white paint in a ratio of 3:8. If you use 24 cups of blue paint how many cups of white paint are needed?
#116. The ratio of fiction to non-fiction books in a library is 9:4. If there are 144 fiction books how many non-fiction books are there?
#117. A concrete mix uses cement sand and gravel in the ratio 1:2:4. If 28 cubic feet of gravel is used how many cubic feet of cement are needed?
#118. The ratio of cats to dogs at a shelter is 7:11. If there are 77 dogs how many cats are there?
#119. A metal alloy contains copper and zinc in the ratio 5:3. If the alloy weighs 96 pounds how many pounds of copper does it contain?
#120. The ratio of teachers to students at a school is 1:18. If there are 26 teachers how many students are there?
#121. A fruit salad uses strawberries and blueberries in a 4:3 ratio. If 60 ounces of strawberries are used how many ounces of blueberries are needed?
#122. The ratio of red to blue marbles in a jar is 5:9. If there are 126 blue marbles how many red marbles are there?
#123. A garden has roses and tulips in a ratio of 7:5. If there are 84 roses how many tulips are there?
#124. On a blueprint 1 inch represents 8 feet. If a room is 5.5 inches on the blueprint what is the actual length?
#125. A model airplane has a scale of 1:48. If the model is 15 inches long how long is the actual airplane?
#126. A map scale is 1 cm = 25 km. Two cities are 8.4 cm apart on the map. What is the actual distance?
#127. A photograph is enlarged so that a 4-inch width becomes 18 inches. If the original height is 6 inches what is the enlarged height?
#128. A scale drawing uses 3 cm to represent 50 meters. How many meters does 11.4 cm represent?
#129. A model train is built at a 1:87 scale. If a model car is 3 inches long how long is the actual car?
#130. On a floor plan 0.5 inches represents 3 feet. A hallway measures 2.25 inches on the plan. What is the actual length?
#131. A landscape designer draws plans where 2 inches equals 5 yards. If a patio is 9 inches on the plan what is the actual width?
#132. A statue is built at 1:6 scale. If the model is 4.5 feet tall how tall is the actual statue?
#133. An architectural drawing uses a scale of 0.25 inch equals 1 foot. A window measures 1.75 inches wide on the drawing. What is the actual width?
#134. Round 8647 to the nearest hundred.
#135. Estimate 487 × 23 by rounding to the nearest ten.
#136. Round 74.846 to the nearest tenth.
#137. Estimate 9187 ÷ 29 by rounding to compatible numbers.
#138. Round 0.0763 to the nearest hundredth.
#139. Estimate the sum: 627 + 389 + 814 by rounding to the nearest hundred.
#140. Round 456789 to the nearest thousand.
#141. Estimate 7843 – 2916 by rounding to the nearest thousand.
#142. Round 3.14159 to the nearest thousandth.
#143. Estimate 68.7 × 4.9 by rounding to whole numbers.
#144. Calculate mentally: 250 × 8
#145. Use mental math to find 15% of 80.
#146. Calculate mentally: 630 ÷ 9
#147. Use mental math: 45² (45 × 45)
#148. Calculate mentally: 13 × 11
#149. Use mental math to find 20% of 450.
#150. Calculate mentally: 1400 ÷ 70
#151. Use mental math: 37 + 28 + 13 + 22
#152. Calculate mentally: 25 × 36
#153. Use mental math to find 50% of 174.
#154. A student calculated 287 × 41 = 11767. Is this answer reasonable?
#155. A calculation shows that 8956 ÷ 47 = 19. Is this reasonable?
#156. Estimate to check: Is 5824 + 3147 + 2089 = 11060 reasonable?
#157. A calculator shows 0.75 × 320 = 24. Is this reasonable?
#158. Someone calculated that 15% of 600 is 900. Is this reasonable?
#159. Estimate: Is 1234 – 789 = 445 reasonable?
#160. A calculation shows 48 × 52 = 2496. Is this reasonable?
#161. Someone claims that 7/8 of 96 is 12. Is this reasonable?
#162. A student calculated 3.6 × 2.5 = 90. Is this reasonable?
#163. Check: Is 12345 ÷ 15 = 823 reasonable?
#164. Which is largest: 3/4 or 0.72 or 68% or 5/7?
#165. Arrange in ascending order: 2/3 then 0.65 then 5/8 then 70%
#166. Which is smallest: 7/12 or 0.6 or 58% or 4/7?
#167. Which statement is true?
#168. Order from least to greatest: -5 and absolute value of -3 and -7 and absolute value of 2
#169. Which is closest to 1: 9/10 or 0.89 or 11/12 or 88%?
#170. Between which two consecutive integers does the square root of 85 lie?
#171. Which fraction is equivalent to 0.45?
#172. Which is greater: 5³ or 3⁵?
#173. Which value is between 5/8 and 3/4?
#174. A grocery bill totals $87.23 then $45.67 then $123.89. Estimate the total by rounding to the nearest ten.
#175. A warehouse has 2847 items. Approximately 19% are defective. Estimate the number of defective items.
#176. A runner completes 3.78 miles in the morning and 4.23 miles in the evening. Estimate the total distance to the nearest whole mile.
#177. A store sells items for $18.95 each. Estimate the revenue from selling 47 items.
#178. A water tank holds 8756 liters. Approximately 2/7 is drained. Estimate the amount drained.
#179. A book has 387 pages. You read 68% of it. Estimate how many pages you have read by rounding.
#180. A construction project costs $487250. Estimate this to the nearest $10000.
#181. A farmer harvests 6234 apples and packs them into boxes of 48. Estimate the number of boxes needed.
#182. An event expects 3847 attendees. Each meal costs $12.75. Estimate the total meal cost by rounding.
#183. A sales representative drives 2349 miles per month. Estimate the annual mileage by rounding to the nearest thousand.
#184. Evaluate: (36 + 48) ÷ 12 × 5 – 8
#185. Calculate: 9² – 6² + 3 × 8
#186. A baker makes 384 cupcakes and packs them in boxes of 16. How many boxes are filled?
#187. Convert 11/16 to a decimal.
#188. Simplify: 5/6 – 1/4
#189. Calculate: 3/7 × 14/9
#190. Calculate: 27.6 + 14.85 – 9.38
#191. Simplify: 6.3 × 8.4
#192. What is 42% of 650?
#193. A bicycle originally costs $420. During a sale it is discounted by 35%. What is the sale price?
#194. A restaurant adds an 8% tax to a meal costing $56.25. What is the total cost?
#195. If 8 gallons of paint cover 320 square feet how many gallons are needed for 560 square feet?
#196. A 24-ounce bottle of shampoo costs $8.16. What is the unit price per ounce?
#197. The ratio of width to length of a rectangle is 3:5. If the width is 27 inches what is the length?
#198. Estimate 783 × 41 by rounding to the nearest ten.
#199. Round 6.8492 to the nearest hundredth.
#200. A conference has 1876 attendees and each receives a gift bag costing $7.95. Estimate the total cost by rounding.