FreeExam

Test of Essential Academic Skills Mathematics

Arithmetic, ratios, algebra, measurement, and data in original problems.

These questions are original. This is not an official Test of Essential Academic Skills exam, and FreeExam is not affiliated with Assessment Technologies Institute.

  1. 1.A clinic pantry holds 3/4 of a box of gauze pads. A volunteer packs 1/3 of that amount into a first-aid kit. What fraction of a full box goes into the kit?

  2. 2.A baker scoops 0.8 kg from a 2.45 kg sack of flour. How many kilograms remain in the sack?

  3. 3.A workshop received 60 sandpaper sheets. Fifteen percent were torn and set aside. How many sheets were set aside?

  4. 4.Red folders and blue folders are packed in the ratio 5 to 3. The cart holds 32 folders in all. How many of them are red?

  5. 5.A soup line uses 3 cups of broth for every 4 bowls. How many cups are needed for 10 bowls at that same rate?

  6. 6.A workstation card shows the expression 6 + 20 ÷ 4 × 2. What is its value?

  7. 7.A walk-in cooler was at −6°C before dawn. By noon the temperature had risen 11 degrees. What was the noon reading?

  8. 8.A stamp machine prints a supply code 4^3 times. How many copies is that?

  9. 9.A courier starts with a full cart. After 7 packages are delivered, twice the number still on the cart is 18. How many packages were on the cart at the start?

  10. 10.Which of these numbers makes the inequality −2x + 5 > 13 true?

  11. 11.A baker says that nine less than twice the number of trays is 15. How many trays is that?

  12. 12.A water jug is labeled 1.5 liters. How many milliliters is that? Use 1 liter = 1,000 milliliters.

  13. 13.A skillet recipe calls for 3 tablespoons of oil. How many teaspoons is that? Use 1 tablespoon = 3 teaspoons.

  14. 14.A broth thermometer reads 50°C. What is that temperature in degrees Fahrenheit? Use F = (9/5)C + 32.

  15. 15.Edging is nailed around a rectangular closet floor that is 11 feet long and 7 feet wide. How long is the edging?

  16. 16.A square cutting mat has sides of 15 inches. What is the area of the mat?

  17. 17.Sand fills a storage bin that is 6 feet long, 4 feet wide, and 3 feet high. What is the volume of the bin?

  18. 18.Ribbon is wrapped once around a round tray of radius 8 inches. What is that length, in terms of π? Use C = 2πr.

  19. 19.During a closet audit, glove stacks were counted as 4, then 9, then 5, then 11, then 6. What is the mean of those five counts?

  20. 20.Desk sign-ins on five mornings were 7, 15, 20, 9, and 12. What is the median?

  21. 21.Apron requests at a supply window were M, L, M, S, M, L. Which size is the mode?

  22. 22.Daily bandage counts were 18, 25, 14, 30, and 22. What is the range?

  23. 23.A bar chart of towel stacks shows Monday 12, Tuesday 9, Wednesday 15, and Thursday 9. How many more stacks were counted on Wednesday than on Tuesday?

  24. 24.A drawer holds 5 black pens and 3 red pens. One pen is taken at random. What is the probability that it is red?

  25. 25.Before a quick check, a clerk replaces 49.2 with the nearest ten and 3.1 with the nearest whole number, then multiplies those stand-ins. What product does the clerk get?

  26. 26.A clinic shift starts at 14:30 and runs for 2 hours 45 minutes. What is the ending time on a 24-hour clock?

  27. 27.A delivery window is written as 0635 in military time. What is that time on a 12-hour clock?

  28. 28.A measuring cup holds 7/8 cup of sugar, and a cook pours out 1/2 cup. How much sugar is left?

  29. 29.A painter pours 3/8 gallon of blue together with 1/6 gallon of white. How many gallons are in the mixture?

  30. 30.Ribbon costs $2.40 a yard. What is the cost of 3.5 yards?

  31. 31.A 9.6-meter cord is cut into pieces that are each 1.2 meters long. How many pieces does that make?

  32. 32.A linen cart priced at $64 is discounted by 25%. What is the sale price?

  33. 33.A front desk logged 80 visitors one week and 100 the next week. What was the percent increase?

  34. 34.A glove bin held 80 gloves, and 64 remain after a shift. By what percent did the count drop?

  35. 35.Fifteen percent of a label order is 45 labels. How many labels are in the whole order?

  36. 36.Yellow paint and white paint are mixed in the ratio 3 to 4. If 15 cups of yellow are used, how many cups of white are needed?

  37. 37.A supply van covers 165 miles in 3 hours at a steady speed. How far does it travel in 5 hours at that speed?

  38. 38.Evaluate the posted expression 3 × (8 + 2) − 4^2.

  39. 39.A freezer log shows a change of −8 degrees, then another change of −3 degrees. What is the combined change?

  40. 40.A square patio covers 196 square feet. What is the length of one side?

  41. 41.A 4-pound weight together with a package weighs the same as 8 pounds less than two of those packages. How many pounds does one package weigh?

  42. 42.A crate may hold at most 40 pounds, and it already holds 17 pounds. Which inequality shows the additional pounds p that may be loaded?

  43. 43.The number of stools in a waiting room, increased by 15, equals four times that same number. How many stools are there?

  44. 44.A workbench is 2.4 meters long. How many centimeters is that? Use 1 meter = 100 centimeters.

  45. 45.A pitcher holds 2.5 cups of juice. How many fluid ounces is that? Use 1 cup = 8 fluid ounces.

  46. 46.A room thermostat reads 77°F. What is that temperature in degrees Celsius? Use C = (5/9)(F − 32).

  47. 47.A triangular herb bed has sides of 7 meters, 7 meters, and 4 meters. How far is one walk around its edge?

  48. 48.A poster is 16 inches wide and 11 inches tall. What is its area?

  49. 49.A shipping box is 8 cm long, 5 cm wide, and 3 cm high. What is its volume?

  50. 50.A round clock face has radius 15 cm. What is its area, in terms of π? Use A = πr^2.

  51. 51.Four kitchen shifts lasted 2 hours, 6 hours, 9 hours, and 15 hours. If the total time is shared equally, what is the mean length of a shift?

  52. 52.Four quiz scores were 10, 16, 13, and 21. What is the median?

  53. 53.Morning coffee orders, by cup count, were 4, 7, 4, 9, 4, 7, and 1. What is the mode?

  54. 54.Recorded temperatures were −2, 4, 0, 7, and −5 degrees. What is the range?

  55. 55.A circle graph of a $160 supply budget shows 40% for gloves, 25% for tape, and the rest for wipes. How many dollars are for wipes?

  56. 56.A jar has 12 chips, and 5 of them are marked. One chip is drawn. What is the probability that it is not marked?

  57. 57.A mileage notebook rounds 412, 289, and 97 miles each to the nearest hundred before totaling them. What total appears after that rounding?

  58. 58.A workshop opens at 08:40 and closes at 16:10. How long is it open?

  59. 59.A bolt of cloth is 5/6 of a full roll. A tailor uses 2/5 of that bolt. What fraction of a full roll remains?

  60. 60.A pot holds 6 cups of rice. How many 2/3-cup servings are in the pot?

  61. 61.A customer pays $20.00 for items totaling $13.47. How much change is due?

  62. 62.A pantry notes that 35% of 80 cereal boxes are oat. How many oat boxes is that?

  63. 63.Three coworkers split a $120 tip in the ratio 1 to 2 to 3. How much does the person with 3 parts receive?

  64. 64.On a clinic floor plan, 1 cm represents 4 feet. A hallway measures 6.5 cm on the plan. How long is the real hallway?

  65. 65.A worksheet asks for the value of 7 + 2^3 × 5. What is that value?

  66. 66.A supply account shows a balance of −$18. A payment of $45 is posted. What is the new balance?

  67. 67.A counter displays the power 3^5. What whole number is that?

  68. 68.A crate is built as a cube of 7 small blocks along each edge. How many small blocks are in the crate? The count is 7^3.

  69. 69.Four times the number of pages in one handout, decreased by 7, equals 21. How many pages are in one handout?

  70. 70.A dial setting x is allowed only when −4 times x is at most 20. Which solution lists every allowed setting?

  71. 71.A clerk says the spare keys are 11 less than three times the number of locked cabinets, and there are 16 spare keys. How many locked cabinets are there?

  72. 72.A package of salt weighs 3,750 grams. How many kilograms is that? Use 1 kilogram = 1,000 grams.

  73. 73.A roast weighs 2.5 pounds. How many ounces is that? Use 1 pound = 16 ounces.

  74. 74.A liquid warms from 20°C to 30°C. By how many degrees Fahrenheit does it rise? Use F = (9/5)C + 32.

  75. 75.A rectangular garden is 13 yards long, and its perimeter is 46 yards. What is the width?

  76. 76.A triangular flag has a base of 18 inches and a height of 5 inches. What is its area? Use A = (1/2)bh.

  77. 77.A cylindrical canister has radius 5 inches and height 7 inches. What is its volume, in terms of π? Use V = πr^2 h.

  78. 78.A circular window has a diameter of 26 inches. What is the distance around it, in terms of π? Use C = πd.

  79. 79.Of 10 aides, 4 made 1 supply trip, 4 made 2 trips, and 2 made 5 trips. What is the mean number of trips per aide?

  80. 80.Wait times, in minutes, were called out as 15, 3, 8, 21, 6, 11, and 2. What is the median?

  81. 81.Which description of the data set 4, 9, 4, 2, 9 is correct?

  82. 82.A line graph of water used shows 28 gallons on day 1, 36 gallons on day 2, and 19 gallons on day 3. What is the three-day total?

  83. 83.A bowl has 3 green tiles, 6 white tiles, and 3 yellow tiles. One tile is drawn. What is the probability that it is green?

  84. 84.To sketch a rug, a tailor replaces 8.2 feet with the nearest whole foot and 3.9 feet with the nearest whole foot, then multiplies the stand-ins. What is that product?

  85. 85.A night shift runs from 21:00 to 06:20 the next morning. How long is the shift?

  86. 86.A carpenter has a board 6 1/4 feet long and cuts off 2 1/2 feet. How much of the board remains?

  87. 87.What is the product 0.07 × 0.3?

  88. 88.A cart totals $60 before tax. The tax rate is 6%. What is the total with tax?

  89. 89.A worker seals 96 envelopes in 8 minutes at a steady pace. How many envelopes is that per minute?

  90. 90.A broth uses 2/3 cup of barley for 8 bowls. How much barley is needed for 2 bowls at the same rate?

  91. 91.A scoreboard shows the expression 36 ÷ 4 − 3 × 2. What is its value?

  92. 92.The product of the readings −7 and −4 is recorded. What is that product?

  93. 93.A puzzle cube is built from 125 unit blocks. How many blocks lie along one edge?

  94. 94.A fourth of the tiles in a stack, plus 2 loose tiles, makes 9 tiles. How many tiles are in the stack?

  95. 95.A shelf tag says the reading x, decreased by 4, must be greater than 9. Which of these readings is allowed?

  96. 96.A courier charges $8 plus $6 for each mile m. Which expression is the charge, in dollars?

  97. 97.A staff member measures 350 mL of water and then another 0.8 L. How many milliliters is that altogether? Use 1 liter = 1,000 milliliters.

  98. 98.A soup pot holds 5 pints of broth. How many cups is that? Use 1 pint = 2 cups.

  99. 99.Which of these measures is the smallest: 3/5 cup, 2/3 cup, 5/8 cup, or 7/12 cup?

  100. 100.A round stage is 24 feet across. What is the area of the stage, in terms of π? Use A = πr^2.

  101. 101.A 2-foot by 4-foot rectangle inside a 12-foot by 9-foot floor is left unpainted. How many square feet of the floor are painted?

  102. 102.A cubic crate has edges of 8 inches. What is its volume?

  103. 103.The mean of four inventory counts is 10. Three of the counts are 8, 12, and 7. What is the fourth count?

  104. 104.A table of boxes packed shows week 1: 16, week 2: 22, week 3: 13, and week 4: 19. What is the range of the four weeks?

  105. 105.Three tags are labeled oak and four tags are labeled pine. One tag is drawn. What is the probability that it says oak?

  106. 106.Estimate 3,186 ÷ 42 by rounding 3,186 to the nearest thousand and 42 to the nearest ten. What estimate results?

  107. 107.A log lists arrival at 1425 and departure at 1605, both in military time. How many minutes passed?

  108. 108.A jug is 2/5 full. A cook adds water equal to 1/4 of the jug's full capacity. What fraction of the jug is full afterward?