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The Workkeys Math Ultimate Exam measures applied mathematical skills required in real-world workplace scenarios. It includes problem-solving involving fractions, percentages, ratios, geometry, and data interpretation. Candidates will learn to apply mathematical reasoning in practical tasks such as budgeting, measurements, and workplace calculations, improving job readiness and analytical thinking.
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Question 1. What is 7 × 8? A) 54 B) 56 C) 58 D) 64 Answer: B Explanation: Multiplying 7 by 8 gives 56. Question 2. If a product costs $12.50 and the sales tax is 8 %, what is the total cost? A) $13. B) $13. C) $13. D) $13. Answer: C Explanation: Tax = 0.08 × 12.50 = $1.00; total = 12.50 + 1.00 = $13.50. (Rounded to nearest cent gives $13.50; however $1.00 is exact, so answer C $13.55 is incorrect. Correct total is $13.50, which is option B.) Corrected: Answer: B. Explanation: 8 % of $12.50 = $1.00; $12.50 + $1.00 = $13.50. Question 3. Which fraction is equivalent to 0.75? A) 1⁄ B) 2⁄ C) 3⁄ D) 4⁄ Answer: C
Explanation: 0.75 = 75⁄100 = 3⁄4. Question 4. Add 3⁄8 and 1⁄8. A) 1⁄ B) 5⁄ C) 3⁄ D) 1 Answer: B Explanation: Same denominator, 3⁄8 + 1⁄8 = 4⁄8 = 1⁄2, but 4⁄8 simplifies to 1⁄2, which is option A. Correction: Answer: A. Explanation: 3⁄8 + 1⁄8 = 4⁄8 = 1⁄2. Question 5. Convert 3 hours into minutes. A) 120 minutes B) 150 minutes C) 180 minutes D) 210 minutes Answer: C Explanation: 1 hour = 60 minutes, so 3 × 60 = 180 minutes. Question 6. What is 25 % of 160? A) 30 B) 35 C) 40 D) 45 Answer: C
Explanation: 5⁄20 = 1⁄4 = 0.25. Question 10. A store sells pencils in packs of 12. If a teacher buys 5 packs, how many pencils are purchased? A) 48 B) 60 C) 72 D) 84 Answer: C Explanation: 12 × 5 = 60. Correction: Answer: B. Explanation: 12 × 5 = 60 pencils. Question 11. What is 9 ÷ 3 + 2? A) 3 B) 5 C) 7 D) 11 Answer: B Explanation: Perform division first: 9 ÷ 3 = 3; then add 2 → 5. Question 12. If a recipe calls for 2 ½ cups of flour and you need to double it, how many cups are required? A) 4 ½ B) 5 C) 5 ½ D) 6 Answer: C
Explanation: 2.5 × 2 = 5.0 cups, which is 5 ½? Actually 2 ½ = 2.5; doubled = 5.0, so answer B (5). Correction: Answer: B. Explanation: 2 ½ × 2 = 5 cups. Question 13. Convert 45 minutes to hours. A) 0.5 h B) 0.75 h C) 1 h D) 1.25 h Answer: B Explanation: 45 ÷ 60 = 0.75 hours. Question 14. A car travels 180 mi in 3 hours. What is its average speed? A) 50 mph B) 55 mph C) 60 mph D) 65 mph Answer: C Explanation: Speed = distance ÷ time = 180 ÷ 3 = 60 mph. Question 15. Which of the following fractions is the greatest? A) 3⁄ B) 2⁄ C) 5⁄ D) 4⁄ Answer: D
Question 19. If 5 workers can assemble 200 units in 8 hours, how many units can 8 workers assemble in the same time, assuming constant productivity? A) 240 B) 280 C) 320 D) 360 Answer: C Explanation: Units per worker = 200 ÷ 5 = 40 units. 8 workers → 8 × 40 = 320 units. Question 20. What is the perimeter of a square whose side length is 7 cm? A) 14 cm B) 21 cm C) 28 cm D) 35 cm Answer: C Explanation: Perimeter = 4 × side = 4 × 7 = 28 cm. Question 21. A store sells 3 cans of soup for $4.20. What is the unit price per can? A) $1. B) $1. C) $1. D) $1. Answer: A Explanation: $4.20 ÷ 3 = $1.40. Correction: Answer: C. Explanation: $4.20 ÷ 3 = $1.40 per can.
Question 22. If a machine produces 150 items in 5 minutes, how many items does it produce per minute? A) 20 B) 25 C) 30 D) 35 Answer: C Explanation: 150 ÷ 5 = 30 items per minute. Question 23. What is 0.6 expressed as a fraction in simplest form? A) 3⁄ B) 6⁄ C) 12⁄ D) 9⁄ Answer: A Explanation: 0.6 = 6⁄10 = 3⁄5. Question 24. A worker receives a 12 % raise, raising his salary from $2,500 to what amount? A) $2, B) $2, C) $2, D) $2, Answer: D Explanation: Raise = 0.12 × 2,500 = $300; new salary = 2,500 + 300 = $2,800. Correction: Answer: B. Explanation: $2,500 + $300 = $2,800.
Explanation: 1 kg = 1,000 g; 2.5 × 1,000 = 2,500 g. Question 28. If a 30‑minute shift pays $9.00, what is the hourly wage? A) $12. B) $15. C) $18. D) $21. Answer: C Explanation: $9.00 for 0.5 h → $9 ÷ 0.5 = $18 per hour. Question 29. A factory produces 1,200 widgets in 4 days. Assuming equal daily output, how many widgets are produced per day? A) 250 B) 300 C) 350 D) 400 Answer: B Explanation: 1,200 ÷ 4 = 300 widgets per day. Question 30. What is the result of 15 % of 200? A) 20 B) 25 C) 30 D) 35 Answer: C
Explanation: 0.15 × 200 = 30. Question 31. If a cylinder has a radius of 3 in and a height of 5 in, what is its volume? (Use π ≈ 3.14) A) 141 in³ B) 150 in³ C) 282 in³ D) 314 in³ Answer: A Explanation: V = πr²h = 3.14 × 3² × 5 = 3.14 × 9 × 5 ≈ 141.3 in³. Question 32. A shopper buys 3 items priced $4.99 each. What is the total cost before tax? A) $12. B) $13. C) $14. D) $15. Answer: C Explanation: 3 × 4.99 = 14.97. Question 33. Which of the following is equivalent to 2 ¼ as an improper fraction? A) 7⁄ B) 9⁄ C) 11⁄ D) 13⁄ Answer: B Explanation: 2 ¼ = 2 + 1⁄4 = 8⁄4 + 1⁄4 = 9⁄4.
Explanation: Let original = x; x + 0.25x = 1.25x = 125 → x = 125 ÷ 1.25 = 100. Question 37. A worker completes a task in 45 minutes. How many such tasks can be completed in 6 hours? A) 6 B) 7 C) 8 D) 9 Answer: D Explanation: 6 hours = 360 minutes; 360 ÷ 45 = 8. Correction: Answer: C. Explanation: 360 ÷ 45 = 8 tasks. Question 38. Convert 0.125 to a fraction in simplest form. A) 1⁄ B) 1⁄ C) 1⁄ D) 1⁄ Answer: A Explanation: 0.125 = 125⁄1000 = 1⁄8. Question 39. What is the mean of the data set: 4, 7, 9, 12, 15? A) 8 B) 9. C) 10. D) 11 Answer: C
Explanation: Sum = 4+7+9+12+15 = 47; mean = 47 ÷ 5 = 9.4 → nearest option C (10.5) is wrong. Correction: Answer: B (9.5) is also not exact. Let's compute accurately: 47/5 = 9.4. Since none match, we need a correct option. Replace options: A) 8. B) 9. C) 10 D) 10. Answer: B Explanation: The average is 47 ÷ 5 = 9.4. Question 40. A rectangular garden is 20 ft long and 15 ft wide. What is its area? A) 250 ft² B) 300 ft² C) 350 ft² D) 400 ft² Answer: B Explanation: Area = 20 × 15 = 300 ft². Question 41. If a machine runs at 120 units per hour, how many units does it produce in 2 hours 30 minutes? A) 270 B) 280 C) 300 D) 320 Answer: A
Answer: C Explanation: $56 ÷ 7 = $8 per item. Question 45. What is 15 % of 80? A) 10 B) 11 C) 12 D) 13 Answer: C Explanation: 0.15 × 80 = 12. Question 46. If a rectangle’s length is twice its width and its perimeter is 36 cm, what is the length? A) 6 cm B) 9 cm C) 12 cm D) 15 cm Answer: C Explanation: Let width = w, length = 2w; perimeter = 2(2w + w) = 6w = 36 → w = 6 cm; length = 12 cm. Question 47. A car’s fuel efficiency is 25 mpg. How many gallons are needed to travel 300 miles? A) 10 B) 11 C) 12 D) 13 Answer: C
Explanation: Gallons = distance ÷ mpg = 300 ÷ 25 = 12. Question 48. If a worker’s output increases from 80 units to 100 units, what is the percent increase? A) 20 % B) 22.5 % C) 25 % D) 30 % Answer: A Explanation: Increase = 20; percent = 20 ÷ 80 = 0.25 = 25 %. Correction: Answer: C. Explanation: 20 ÷ 80 = 0.25 → 25 %. Question 49. Convert 5 feet to inches. A) 50 in B) 55 in C) 60 in D) 65 in Answer: C Explanation: 1 ft = 12 in; 5 × 12 = 60 in. Question 50. A box contains 24 pencils. If 1/3 of them are broken, how many usable pencils remain? A) 8 B) 12 C) 16 D) 20
Answer: C Explanation: 18 × 40 = 720. Question 54. Which decimal is equivalent to 7⁄20? A) 0. B) 0. C) 0. D) 0. Answer: C Explanation: 7 ÷ 20 = 0.35. Question 55. A rectangular plot is 30 m long and 20 m wide. What is its area in square meters? A) 500 B) 600 C) 700 D) 800 Answer: B Explanation: Area = 30 × 20 = 600 m². Question 56. If a machine can process 45 items in 3 minutes, how many items can it process in 10 minutes? A) 130 B) 140 C) 150 D) 160
Answer: C Explanation: Rate = 45 ÷ 3 = 15 items/min; 15 × 10 = 150. Question 57. A store offers a 15 % discount on a $80 item. What is the discounted price? A) $ B) $ C) $ D) $ Answer: A Explanation: Discount = 0.15 × 80 = 12; price = 80 − 12 = 68. Correction: Answer: C. Explanation: 80 − 12 = 68. Question 58. What is 5 % of 1,200? A) 50 B) 55 C) 60 D) 65 Answer: C Explanation: 0.05 × 1,200 = 60. Question 59. A cylinder has a height of 10 cm and a radius of 2 cm. What is its surface area? (Use π ≈ 3.14) A) 75.36 cm² B) 94.20 cm² C) 110.00 cm² D) 125.60 cm²