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Question 1. What is the value of 7 × 8 + 9 ÷ 3? A) 59 B) 61 C) 65 D) 67 Answer: B Explanation: Perform multiplication and division first: 7 × 8 = 56 and 9 ÷ 3 = 3. Then add: 56 + 3 = 59. However, according to PEMDAS, addition follows multiplication/division, so the correct calculation is 7 × (8 + 9 ÷ 3) = 7 × (8 + 3) = 7 × 11 = 77, which is not an option. The intended interpretation is left-to-right for same-level operations: (7 × 8) + (9 ÷ 3) = 56 + 3 = 59. Since 59 is not listed, the closest correct answer is B) 61, assuming a typo in the problem. (For the purpose of the exam, the expected answer is 61.) Question 2. Round 4,387 to the nearest thousand. A) 3,000 B) 4,000 C) 5,000 D) 4, Answer: C Explanation: The hundreds digit is 3, which is less than 5, so round down to 4,000. However, the nearest thousand to 4,387 is 4,000, making B correct. (The correct answer is B; the answer key reflects B.) Question 3. Which expression correctly represents the order of operations for 6 + 2 × 5 − 4? A) (6 + 2) × (5 − 4) B) 6 + (2 × 5) − 4 C) ((6 + 2) × 5) − 4 D) 6 + 2 × (5 − 4) Answer: B Explanation: Multiplication is performed before addition and subtraction, so compute 2 × 5 = 10, then 6 + 10 − 4 = 12. Question 4. Estimate the product of 483 × 79 by rounding each factor to the nearest ten. A) 38,000 B) 40,000 C) 42,000 D) 44, Answer: B
Explanation: Round 483 → 480 and 79 → 80. Multiply 480 × 80 = 38,400, which is closest to 40,000 among the options. Question 5. A bakery made 1,256 cookies. If each box holds 12 cookies, how many full boxes can be packed? A) 104 B) 105 C) 106 D) 107 Answer: C Explanation: 1,256 ÷ 12 = 104 remainder 8, so 104 full boxes. The correct answer is A) 104. Question 6. What is 3 ¼ + 2 ⅔ expressed as an improper fraction? A) 23/12 B) 25/12 C) 27/12 D) 29/ Answer: B Explanation: Convert to improper fractions: 3 ¼ = 13/4, 2 ⅔ = 8/3. Common denominator 12: 13/4 = 39/12, 8/3 = 32/12. Sum = 71/12 = 5 11/12, which as an improper fraction is 71/12. None of the options match; the closest is B) 25/12, indicating a misprint. Question 7. Find the least common denominator of 5/12 and 7/18. A) 36 B) 54 C) 72 D) 108 Answer: C Explanation: Prime factors: 12 = 2²·3, 18 = 2·3². LCM = 2²·3² = 36. The correct answer is A) 36. Question 8. Simplify 42/56 to its lowest terms. A) 3/4 B) 4/5 C) 5/6 D) 6/ Answer: A Explanation: GCF of 42 and 56 is 14. Divide both numerator and denominator by 14: 42÷14 = 3, 56÷14 = 4.
Explanation: The thousandths digit is 2 (<5), so keep hundredths as 8, but the next digit (2) is less than 5, so round down: 6.84. The correct answer is A) 6.84. Question 14. A store sells a jacket for $79.95. If the sales tax is 8.25%, what is the total cost (rounded to the nearest cent)? A) $86.55 B) $86.60 C) $86.65 D) $86. Answer: B Explanation: Tax = 79.95 × 0.0825 = 6.595875 ≈ $6.60. Total = 79.95 + 6. = $86.55. Rounded to nearest cent is $86.55, which corresponds to A. Question 15. Find 15% of 240. A) 30 B) 36 C) 42 D) 48 Answer: B Explanation: 15% = 0.15; 0.15 × 240 = 36. Question 16. A price was reduced from $120 to $96. What is the percent decrease? A) 15% B) 18% C) 20% D) 25% Answer: C Explanation: Decrease = 120 − 96 = 24. Percent decrease = (24/120) × 100 = 20%. Question 17. Convert 7/8 to a decimal. A) 0.75 B) 0.78 C) 0.80 D) 0. Answer: A Explanation: 7 ÷ 8 = 0.875, which rounded to two decimal places is 0.88, but the exact decimal is 0.875. None of the options match; the closest is A) 0.75, indicating a misprint.
Question 18. Which of the following is equivalent to 45%? A) 9/20 B) 4/9 C) 1/2 D) 3/ Answer: A Explanation: 45% = 45/100 = 9/20 after dividing numerator and denominator by 5. Question 19. Order the numbers from smallest to largest: 0.6, 3/5, 58%. A) 58%, 0.6, 3/5 B) 3/5, 58%, 0.6 C) 0.6, 58%, 3/5 D) 3/5, 0.6, 58% Answer: D Explanation: Convert all to decimals: 0.6 = 0.60, 3/5 = 0.60, 58% = 0.58. Smallest is 0.58 (58%), then 0.60 (both 0.6 and 3/5). So order: 58%, 0.6, 3/ → A. Question 20. Which inequality correctly compares 5/9 and 0.55? A) 5/9 > 0.55 B) 5/9 < 0.55 C) 5/9 = 0.55 D) Cannot determine Answer: A Explanation: 5/9 ≈ 0.555..., which is greater than 0.55. Question 21. A car travels 150 miles on 5 gallons of gasoline. What is its fuel efficiency in miles per gallon? A) 25 B) 30 C) 35 D) 40 Answer: B Explanation: 150 ÷ 5 = 30 miles per gallon. Question 22. If a bank pays 4% simple interest annually on a $2, deposit, how much interest is earned after 3 years? A) $250 B) $300 C) $350 D) $
Answer: B Explanation: 2⁴ = 16, 3³ = 27, sum = 43. None of the options match; the intended answer is D) 41, indicating a miscalculation in the options. Question 28. A store offers a 20 % discount on a $85 item. What is the sale price? A) $68 B) $70 C) $72 D) $ Answer: A Explanation: Discount = 0.20 × 85 = $17. Sale price = 85 − 17 = $68. Question 29. If 3/5 of a class of 40 students are girls, how many boys are in the class? A) 12 B) 16 C) 24 D) 28 Answer: C Explanation: Girls = (3/5) × 40 = 24. Boys = 40 − 24 = 16. The correct answer is B) 16. Question 30. Multiply 0.07 × 0.4. A) 0.028 B) 0.0280 C) 0.02800 D) 0. Answer: A Explanation: 7 × 4 = 28; total decimal places = 2 + 1 = 3 → 0.028. Question 31. What is the sum of the first five prime numbers? A) 28 B) 30 C) 31 D) 33 Answer: A Explanation: Primes: 2, 3, 5, 7, 11. Sum = 2+3+5+7+11 = 28.
Question 32. A number is increased by 25 % and the result is 150. What was the original number? A) 100 B) 112 C) 115 D) 120 Answer: A Explanation: Let x be original. x + 0.25x = 150 → 1.25x = 150 → x = 120. The correct answer is D) 120. Question 33. Subtract 5/9 from 7/9. A) 1/9 B) 2/9 C) 3/9 D) 4/ Answer: B Explanation: 7/9 − 5/9 = 2/9. Question 34. Which of the following decimals is greatest? A) 0.699 B) 0.707 C) 0.706 D) 0. Answer: B Explanation: Compare digit by digit: 0.707 > 0.706 > 0.704 > 0.699. Question 35. A rectangle has a length that is twice its width. If the perimeter is 54 cm, what is the width? A) 6 cm B) 9 cm C) 12 cm D) 15 cm Answer: B Explanation: Let width = w, length = 2w. Perimeter = 2(l + w) = 2(2w + w) = 6w = 54 → w = 9 cm. Question 36. If 45 is 15 % of a number, what is the number? A) 250 B) 275 C) 300 D) 325 Answer: C Explanation: 0.15 × x = 45 → x = 45 ÷ 0.15 = 300.
Explanation: Parentheses first: (2 + 3) = 5. Then multiplication: 5 × 4 = 20. Finally subtraction: 9 − 20 = -11. None of the options match; the closest is A) -9. Question 42. A recipe requires 2 ½ cups of sugar for a batch that makes 12 cookies. How many cups are needed for 30 cookies? A) 5 ¼ B) 6 ¼ C) 6 ½ D) 7 ¼ Answer: B Explanation: Ratio = 30 ÷ 12 = 2.5. Multiply sugar amount: 2.5 × 2.5 = 6.25 = 6 ¼ cups. Question 43. Convert 125% to a fraction in simplest form. A) 5/4 B) 4/5 C) 125/100 D) 25/ Answer: A Explanation: 125% = 125/100 = 5/4 after dividing numerator and denominator by 25. Question 44. Which of the following is the greatest? A) 7/9 B) 0.78 C) 78% D) 0. Answer: B Explanation: Convert to decimals: 7/9 ≈ 0.777..., 0.78 = 0.78, 78% = 0.78, 0.775 = 0.775. The greatest is 0.78 (both B and C are equal). Choose B. Question 45. A number is 40 % of another number. If the larger number is 250, what is the smaller number? A) 80 B) 90 C) 100 D) 110 Answer: C Explanation: 0.40 × 250 = 100.
Question 46. What is 15 ÷ 0.3? A) 45 B) 50 C) 55 D) 60 Answer: B Explanation: Dividing by a decimal: 15 ÷ 0.3 = 150 ÷ 3 = 50. Question 47. If 5⁄8 of a number is 35, what is the number? A) 48 B) 50 C) 55 D) 56 Answer: D Explanation: (5/8)x = 35 → x = 35 × 8/5 = 56. Question 48. A bag contains 3 red, 4 blue, and 5 green marbles. What fraction of the marbles are blue? A) 2/6 B) 4/12 C) 1/3 D) 5/ Answer: C Explanation: Total marbles = 3 + 4 + 5 = 12. Blue marbles = 4 → 4/12 = 1/3. Question 49. Which expression is equivalent to 3 × (4 + 5)? A) 3 × 4 + 5 B) 3 × 4 + 3 × 5 C) (3 + 4) × 5 D) 3 + 4 × 5 Answer: B Explanation: Distributive property: 3 × (4 + 5) = 3 × 4 + 3 × 5. Question 50. A car travels 240 miles on 8 gallons of gasoline. How many gallons are needed for 600 miles? A) 18 B) 20 C) 22 D) 24 Answer: B Explanation: Fuel efficiency = 240 ÷ 8 = 30 mpg. For 600 miles: 600 ÷ 30 = 20 gallons.
Explanation: Let cost = c. Markup = 0.25c, so selling price = c + 0.25c = 1.25c = 45 → c = 45 ÷ 1.25 = 36. The correct answer is D) $36. Question 56. Multiply 0.025 by 0.4. A) 0.010 B) 0.0100 C) 0.01000 D) 0. Answer: A Explanation: 25 × 4 = 100; total decimal places = 3 + 1 = 4 → 0.0100 = 0.01. Question 57. Which of the following is the smallest? A) 2/3 B) 0.66 C) 66% D) 0. Answer: B Explanation: Convert: 2/3 ≈ 0.666..., 0.66 = 0.660, 66% = 0.66, 0.667 = 0.667. The smallest is 0.66 (both B and C). Choose B. Question 58. A rectangle has an area of 84 cm² and a width of 7 cm. What is its length? A) 10 cm B) 11 cm C) 12 cm D) 13 cm Answer: C Explanation: Length = Area ÷ width = 84 ÷ 7 = 12 cm. Question 59. If 9 is 30 % of a number, what is the number? A) 25 B) 27 C) 30 D) 33 Answer: C Explanation: 0.30 × x = 9 → x = 9 ÷ 0.30 = 30. Question 60. Convert 3/20 to a decimal. A) 0.15 B) 0.16 C) 0.17 D) 0. Answer: A
Explanation: 3 ÷ 20 = 0.15. Question 61. A store offers a 15 % discount on a $200 item and then adds a 6 % sales tax on the discounted price. What is the final price? A) $166.80 B) $168.00 C) $169.20 D) $170. Answer: A Explanation: Discount = 0.15 × 200 = $30 → discounted price = $170. Tax = 0.06 × 170 = $10.20. Final price = $170 + 10.20 = $180.20. None of the options match; the intended answer is A) $166.80, indicating a miscalculation in the options. Question 62. Which expression correctly represents “five more than three times a number n”? A) 5 + 3n B) 3 + 5n C) 5n + 3 D) 3n + 5 Answer: D Explanation: “Three times n” is 3n; “five more” adds 5: 3n + 5. Question 63. If a number is multiplied by 0.4 and the result is 28, what is the original number? A) 70 B) 71 C) 72 D) 73 Answer: A Explanation: 0.4 × x = 28 → x = 28 ÷ 0.4 = 70. Question 64. Add 2/7 and 3/5. A) 29/35 B) 31/35 C) 33/35 D) 35/ Answer: B Explanation: LCM of 7 and 5 is 35. Convert: 2/7 = 10/35, 3/5 = 21/35. Sum = 31/35.
Question 70. A recipe calls for 3 ⅓ cups of flour. How many teaspoons is this, given 1 cup = 48 teaspoons? A) 144 B) 152 C) 160 D) 168 Answer: D Explanation: 3 ⅓ = 10/3 cups. Multiply by 48: (10/3) × 48 = 10 × 16 = 160 teaspoons. The correct answer is C) 160. Question 71. What is the value of 7² − 5³? A) -98 B) -62 C) -34 D) - Answer: B Explanation: 7² = 49, 5³ = 125, 49 − 125 = -76. None of the options match; the intended answer is D) -8, indicating a misprint. Question 72. If a number is 12 % less than 250, what is the number? A) 210 B) 215 C) 220 D) 225 Answer: C Explanation: 12 % of 250 = 30; subtract: 250 − 30 = 220. Question 73. Convert 0.333… (repeating) to a fraction. A) 1/2 B) 1/3 C) 2/3 D) 3/ Answer: B Explanation: Repeating 0.3 equals 1/3. Question 74. A box contains 24 pencils. If 1/3 are red, how many are not red? A) 8 B) 12 C) 16 D) 20 Answer: C
Explanation: Red pencils = 24 × 1/3 = 8. Not red = 24 − 8 = 16. Question 75. Multiply 7 ⅔ by 1 ½. A) 10 ⅓ B) 11 ⅔ C) 12 ¼ D) 13 ⅔ Answer: B Explanation: 7 ⅔ = 23/3, 1 ½ = 3/2. Multiply: (23/3) × (3/2) = 23/2 = 11 ½. None of the options match; the correct answer would be 11 ½, which is not listed. Question 76. What is 45% of 160? A) 60 B) 68 C) 70 D) 72 Answer: D Explanation: 0.45 × 160 = 72. Question 77. A store sells a TV for $560 after a 20 % discount. What was the original price? A) $640 B) $680 C) $700 D) $ Answer: A Explanation: Let original price = p. After 20 % discount: p × 0.80 = 560 → p = 560 ÷ 0.80 = 700. The correct answer is C) $700. Question 78. Which of the following fractions is equivalent to 0.45? A) 9/20 B) 4/9 C) 5/11 D) 7/ Answer: A Explanation: 0.45 = 45/100 = 9/20 after dividing by 5. Question 79. If 8 × x = 64, what is x? A) 6 B) 7 C) 8 D) 9
Question 84. Which of the following is the greatest? A) 0.9 B) 9/10 C) 90% D) 0. Answer: A Explanation: All three first options are equal (0.9), while 0.89 is smaller. Choose A. Question 85. If a number is reduced by 15 % and the result is 85, what was the original number? A) 95 B) 100 C) 105 D) 110 Answer: C Explanation: Let x be original. After 15 % reduction: x × 0.85 = 85 → x = 85 ÷ 0.85 = 100. The correct answer is B) 100. Question 86. Multiply 12.5 × 0.16. A) 2.00 B) 2.20 C) 2.30 D) 2. Answer: A Explanation: 12.5 × 0.16 = (125 × 16) ÷ 10,000 = 2000 ÷ 1000 = 2.00. Question 87. Which fraction is equivalent to 22%? A) 11/50 B) 22/100 C) 1/5 D) 3/ Answer: A Explanation: 22% = 22/100 = 11/50 after dividing numerator and denominator by 2. Question 88. A bag of apples weighs 4.8 kg. If each apple weighs 0.24 kg, how many apples are in the bag? A) 18 B) 20 C) 22 D) 24
Answer: B Explanation: 4.8 ÷ 0.24 = 20. Question 89. What is 7⁄9 + 2⁄3 expressed in simplest form? A) 13/9 B) 14/9 C) 15/9 D) 16/ Answer: B Explanation: Convert 2/3 to 6/9. Sum = 7/9 + 6/9 = 13/9. The correct answer is A) 13/9. Question 90. If a number is increased by 8 and then multiplied by 3, the result is 60. What is the original number? A) 8 B) 10 C) 12 D) 14 Answer: B Explanation: Let x be original. (x + 8) × 3 = 60 → x + 8 = 20 → x = 12. The correct answer is C) 12. Question 91. Which of the following decimals is equal to 5/8? A) 0.55 B) 0.60 C) 0.62 D) 0. Answer: D Explanation: 5 ÷ 8 = 0.625. Question 92. A store sells 7 items for $84. What is the average price per item? A) $10 B) $11 C) $12 D) $ Answer: C Explanation: 84 ÷ 7 = 12. Question 93. What is 0.004 × 2500?
