Quantitative Reasoning – Set 2

 

Results

#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|

#30. Evaluate: 3|−6| + 4

#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

#60. Simplify: 7/8 – 3/4

#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

#79. What is 35% of 280?

#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.

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