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Question 1. What is the sum of 1,275 and 648? A) 1, B) 1, C) 1, D) 1, Answer: C Explanation: 1,275 + 648 = 1,923. Adding the ones, tens, hundreds, and thousands columns yields 1,923. Question 2. What is the value of 2 × (3 + 4) − 5? A) 5 B) 9 C) 10 D) 7 Answer: D Explanation: Following order of operations (PEMDAS): 3 + 4 = 7; 2 × 7 = 14; 14 − 5 = 9. Question 3. Which of these numbers is a prime number? A) 12 B) 19 C) 21 D) 27 Answer: B Explanation: 19 has only two positive divisors: 1 and itself. Question 4. What is the place value of the digit 6 in the number 76,432? A) Ones B) Tens C) Hundreds D) Thousands Answer: D Explanation: The 6 is in the thousands place. Question 5. What is the product of 23 and 7? A) 140 B) 151 C) 161 D) 165 Answer: C Explanation: 23 × 7 = 161.
Question 6. What is the greatest common factor (GCF) of 24 and 36? A) 6 B) 12 C) 18 D) 24 Answer: B Explanation: The largest number that divides both 24 and 36 is 12. Question 7. Which of the following numbers is an even number? A) 17 B) 23 C) 28 D) 35 Answer: C Explanation: 28 is divisible by 2, making it even. Question 8. What is 45 divided by 5? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation: 45 ÷ 5 = 9. Question 9. Which of the following numbers is a composite number? A) 2 B) 3 C) 5 D) 9 Answer: D Explanation: 9 has more than two factors: 1, 3, and 9. Question 10. What is the least common multiple (LCM) of 4 and 6? A) 8 B) 12 C) 18 D) 24 Answer: B Explanation: The smallest number that both 4 and 6 divide into is 12. Question 11. Which is the correct value for 5³? A) 15
Find common denominator: 11/2 = 22/ 22/4 − 11/4 = 11/4 = 2 3/4. So Answer: B Explanation: Subtracting gives 11/4 = 2 3/4. Question 16. Multiply: 2/3 × 4/ A) 8/ B) 6/ C) 8/ D) 6/ Answer: A Explanation: Multiply numerators: 2 × 4 = 8; denominators: 3 × 5 = 15. Question 17. Divide: 7/8 ÷ 1/ A) 7/ B) 7/ C) 14/ D) 8/ Answer: B Explanation: Dividing by 1/2 is the same as multiplying by 2: 7/8 × 2 = 14/8 = 7/4. Question 18. Simplify: 18/ A) 3/ B) 2/ C) 4/ D) 6/ Answer: A Explanation: Both numerator and denominator can be divided by 6: 18 ÷ 6 = 3; 24 ÷ 6 = 4. Question 19. Convert the improper fraction 17/5 to a mixed number. A) 2 1/ B) 3 1/ C) 3 2/ D) 3 3/ Answer: D Explanation: 17 ÷ 5 = 3 remainder 2, so 3 2/5. Question 20. What is 0.75 as a fraction in simplest form? A) 3/ B) 7/ C) 1/
D) 2/
Answer: A Explanation: 0.75 = 75/100 = 3/4 after simplification. Question 21. Add: 5.67 + 3. A) 8. B) 9. C) 8. D) 9. Answer: D Explanation: 5.67 + 3.20 = 8.87. Wait, let's check: 5.67 + 3.20 = 8.87. So, Answer: A Explanation: Adding decimals: 5.67 + 3.20 = 8.87. Question 22. Subtract: 9.5 − 6. A) 3. B) 3. C) 3. D) 4. Answer: A Explanation: 9.50 − 6.25 = 3.25. Question 23. Multiply: 2.6 × 0. A) 1. B) 1. C) 1. D) 1. Answer: A Explanation: 2.6 × 0.4 = 1.04. Question 24. Divide: 5.5 ÷ 2 A) 2. B) 2. C) 3. D) 2. Answer: B Explanation: 5.5 ÷ 2 = 2.75.
B) 150
C) 160
D) 180
Answer: B Explanation: Let x be the number. 0.2x = 30 ⇒ x = 150. Question 31. What is the percent increase from 50 to 65? A) 20% B) 25% C) 30% D) 15% Answer: B Explanation: Increase = 15; (15/50) × 100 = 30%. Wait, 15/50 = 0.3 × 100 = 30%. So, C) 30%. Explanation: Percent increase = ((65 − 50)/50) × 100 = 30%. Question 32. What is 56 as a percent of 80? A) 65% B) 60% C) 70% D) 75% Answer: C Explanation: (56/80) × 100 = 70%. Question 33. A $200 item is marked down by 15%. What is the discount amount? A) $ B) $ C) $ D) $ Answer: C Explanation: 0.15 × 200 = $30. Question 34. What is the value of the ratio 3:8 expressed as a fraction? A) 3/ B) 5/ C) 3/ D) 8/ Answer: C Explanation: 3:8 as a fraction is 3/8. Question 35. Simplify the ratio 12:16. A) 3:
B) 2:
C) 4:
D) 6:
Answer: A Explanation: Both are divisible by 4: 12 ÷ 4 = 3; 16 ÷ 4 = 4. Question 36. If 5 pencils cost $7.50, what is the cost of 1 pencil? A) $1. B) $1. C) $2. D) $2. Answer: A Explanation: $7.50 ÷ 5 = $1.50. Wait, $7.50 ÷ 5 = $1.50. So, Answer: B Explanation: Each pencil costs $1.50. Question 37. If 3 shirts cost $24, how much will 5 shirts cost at the same rate? A) $ B) $ C) $ D) $ Answer: B Explanation: $24/3 = $8 per shirt; $8 × 5 = $40. Question 38. Solve for x: 5x = 35 A) 5 B) 6 C) 7 D) 8 Answer: C Explanation: x = 35/5 = 7. Question 39. Solve for x: x + 13 = 21 A) 9 B) 7 C) 8 D) 11 Answer: A Explanation: x = 21 − 13 = 8. Wait, that's 8, but 21 − 13 = 8. So, C) 8.
Answer: B Explanation: Area = πr² = 3.14 × 3² = 3.14 × 9 = 28.26 m². Question 45. What is the volume of a cube with side length 5 cm? A) 25 cm³ B) 125 cm³ C) 100 cm³ D) 15 cm³ Answer: B Explanation: Volume = s³ = 5³ = 125 cm³. Question 46. What is the volume of a rectangular prism with length 4 m, width 3 m, and height 2 m? A) 24 m³ B) 18 m³ C) 20 m³ D) 12 m³ Answer: A Explanation: Volume = l × w × h = 4 × 3 × 2 = 24 m³. Question 47. A car travels 150 miles in 3 hours. What is its average speed? A) 45 mph B) 50 mph C) 55 mph D) 60 mph Answer: B Explanation: Average speed = distance/time = 150/3 = 50 mph. Question 48. A train travels at a speed of 60 km/h. How far will it travel in 5 hours? A) 250 km B) 300 km C) 350 km D) 400 km Answer: B Explanation: Distance = speed × time = 60 × 5 = 300 km. Question 49. If it takes 4 hours to fill a tank at a constant rate, how long will it take to fill half the tank? A) 1 hour B) 1.5 hours C) 2 hours D) 2.5 hours
Answer: C Explanation: Half of 4 hours is 2 hours. Question 50. Two people can paint a wall in 6 hours working together. How long would it take one person to do it alone, assuming they work at the same rate? A) 10 hours B) 12 hours C) 14 hours D) 16 hours Answer: B Explanation: If two people take 6 hours, one person will take 2 × 6 = 12 hours. Question 51. What is the mode of the data set: 2, 4, 4, 6, 8? A) 2 B) 4 C) 6 D) 8 Answer: B Explanation: 4 appears most frequently. Question 52. What is the median of the data set: 5, 7, 9, 11, 13? A) 7 B) 9 C) 11 D) 13 Answer: B Explanation: The median is the middle value, which is 9. Question 53. What is the mean of the numbers: 10, 12, 14, 16, 18? A) 13 B) 14 C) 15 D) 16 Answer: C Explanation: Mean = (10 + 12 + 14 + 16 + 18) / 5 = 70 / 5 = 14. Question 54. If a bar graph shows 5 apples, 7 oranges, and 3 bananas, how many pieces of fruit are there in total? A) 15 B) 12 C) 10 D) 20
Question 60. Which of the following is NOT an even number? A) 12 B) 18 C) 21 D) 24 Answer: C Explanation: 21 is not divisible by 2. Question 61. Multiply: 13 × 6 A) 68 B) 72 C) 78 D) 84 Answer: C Explanation: 13 × 6 = 78. Question 62. What is the smallest composite number? A) 2 B) 3 C) 4 D) 5 Answer: C Explanation: 4 is the first composite number. Question 63. Which of the following numbers is both even and prime? A) 2 B) 4 C) 6 D) 8 Answer: A Explanation: 2 is the only even prime number. Question 64. Add: 3 2/3 + 2 1/ A) 6 B) 5 C) 6 1/ D) 5 1/ Answer: A Explanation: 3 2/3 + 2 1/3 = 5 + 3/3 = 5 + 1 = 6.
Question 65. Subtract: 4 5/8 − 2 3/ A) 2 1/ B) 2 2/ C) 2 1/ D) 2 1/ Answer: A Explanation: (4 − 2) = 2; (5/8 − 3/8) = 2/8 = 1/4; so total is 2 1/4. Question 66. Multiply: 7/9 × 3/ A) 3/ B) 1/ C) 1/ D) 21/ Answer: B Explanation: 7 × 3 = 21; 9 × 7 = 63; 21/63 = 1/3. Question 67. Divide: 5/6 ÷ 2/ A) 3/ B) 5/ C) 6/ D) 15/ Answer: A Explanation: 5/6 × 3/2 = 15/12 = 5/4 = 1.25. But 5/6 × 3/2 = 15/12 = 1.25 or 5/4, not 3/4. So, none match; but let's check options again. None are 5/4. So, D) 15/12 is correct as an unsimplified answer. Question 68. Simplify: 21/ A) 3/ B) 2/ C) 1/ D) 7/ Answer: A Explanation: Both 21 and 49 are divisible by 7: 21 ÷ 7 = 3; 49 ÷ 7 = 7. Question 69. Convert 11/4 to a mixed number. A) 2 3/ B) 3 1/ C) 2 1/ D) 1 3/ Answer: A Explanation: 11 ÷ 4 = 2 remainder 3, so 2 3/4.
Question 75. Round 3.276 to the nearest hundredth. A) 3. B) 3. C) 3. D) 3. Answer: A Explanation: The thousandths digit is 6, so round up hundredths to 8. Question 76. What is 0.09 as a percentage? A) 0.9% B) 9% C) 90% D) 0.09% Answer: B Explanation: 0.09 × 100 = 9%. Question 77. What is 18% of 50? A) 7 B) 8 C) 9 D) 10 Answer: C Explanation: 0.18 × 50 = 9. Question 78. Decrease 80 by 35%. A) 52 B) 48 C) 60 D) 55 Answer: A Explanation: 35% of 80 = 28; 80 − 28 = 52. Question 79. If a pair of shoes costs $60 and there is a 10% sales tax, what is the total cost? A) $ B) $ C) $ D) $ Answer: A Explanation: 10% of $60 = $6; $60 + $6 = $66. Question 80. If 45 is 15% of a number, what is the number? A) 200
B) 300
C) 400
D) 250
Answer: B Explanation: Let x = the number; 0.15x = 45 ⇒ x = 45 ÷ 0.15 = 300. Question 81. What is the percent decrease from 100 to 80? A) 20% B) 15% C) 25% D) 30% Answer: A Explanation: Decrease = 20; (20/100) × 100 = 20%. Question 82. What is 30 as a percent of 120? A) 15% B) 20% C) 25% D) 30% Answer: C Explanation: (30/120) × 100 = 25%. Question 83. A $90 item is marked down by 10%. What is the sale price? A) $ B) $ C) $ D) $ Answer: A Explanation: 10% of $90 = $9; $90 − $9 = $81. Question 84. What is the value of the ratio 7:5 expressed as a fraction? A) 7/ B) 5/ C) 7/ D) 12/ Answer: C Explanation: 7:5 as a fraction is 7/5. Question 85. Simplify the ratio 18:27. A) 2: B) 3: C) 4:
D) 8
Answer: D Explanation: 2x = 14 ⇒ x = 7. Wait, 2x + 7 = 21 2x = 21 − 7 = 14 x = 14 / 2 = 7 So, C) 7. Question 91. What is the perimeter of a square with side length 9 cm? A) 18 cm B) 27 cm C) 36 cm D) 45 cm Answer: C Explanation: Perimeter = 4 × side = 4 × 9 = 36 cm. Question 92. What is the area of a square with side length 6 m? A) 12 m² B) 24 m² C) 36 m² D) 18 m² Answer: C Explanation: Area = side × side = 6 × 6 = 36 m². Question 93. What is the area of a triangle with base 14 cm and height 8 cm? A) 56 cm² B) 112 cm² C) 98 cm² D) 64 cm² Answer: A Explanation: Area = ½ × 14 × 8 = 56 cm². Question 94. What is the area of a circle with diameter 10 m? (Use π ≈ 3.14) A) 78.5 m² B) 31.4 m² C) 50 m² D) 25 m² Answer: A Explanation: Radius = 5 m. Area = πr² = 3.14 × 25 = 78.5 m². Question 95. What is the volume of a cube with side length 7 cm? A) 49 cm³
B) 343 cm³ C) 210 cm³ D) 70 cm³ Answer: B Explanation: Volume = 7³ = 343 cm³. Question 96. What is the volume of a rectangular prism 5 m × 3 m × 2 m? A) 15 m³ B) 30 m³ C) 25 m³ D) 20 m³ Answer: B Explanation: 5 × 3 × 2 = 30 m³. Question 97. If a runner covers 12 miles in 2 hours, what is her average speed? A) 4 mph B) 5 mph C) 6 mph D) 8 mph Answer: C Explanation: 12 ÷ 2 = 6 mph. Question 98. A train travels at 80 km/h. How far does it go in 4 hours? A) 240 km B) 320 km C) 400 km D) 480 km Answer: B Explanation: 80 × 4 = 320 km. Question 99. If it takes 6 hours to fill a pool, how long to fill 1/3 of the pool? A) 1 hour B) 2 hours C) 3 hours D) 4 hours Answer: C Explanation: 6 × 1/3 = 2 hours. Wait, that's 2 hours, but 6 × 1/3 = 2 hours. So, B) 2 hours.
