id int64 1 1M | problem stringlengths 14 193 | answer stringlengths 16 75 | reasoning stringlengths 53 276 | category stringclasses 12
values | difficulty stringclasses 3
values |
|---|---|---|---|---|---|
201 | A rectangular pool is 45 m long and 21 m wide. What is its area in square meters? | The area is 945 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 45 cm, width = 21 cm.
Step 3: Area = 45 × 21 = 945 cm². | geometry | easy |
202 | A circle has radius 18 cm. What is its circumference? (Use π = 3.14) | The circumference is 113.04 cm. | Step 1: Formula for circumference of circle = 2 × π × radius.
Step 2: Radius = 18 cm, π = 3.14.
Step 3: Circumference = 2 × 3.14 × 18 = 113.04 cm. | geometry | easy |
203 | A rectangular prism has dimensions 7cm × 5cm × 5cm. What is its volume? | The volume is 175 cm³. | Step 1: Formula for volume of rectangular prism = length × width × height.
Step 2: Length = 7 cm, width = 5 cm, height = 5 cm.
Step 3: Volume = 7 × 5 × 5 = 175 cm³. | volume | medium |
204 | Find the roots of x² - 13x + 30 = 0 | The solutions are x = 3 and x = 10. | Step 1: Equation is x² - 13x + 30 = 0.
Step 2: Factor the quadratic: (x - 3)(x - 10) = 0.
Step 3: Set each factor to zero: x - 3 = 0 or x - 10 = 0.
Step 4: Solve for x: x = 3 or x = 10. | algebra | easy |
205 | 186 increased by 7% equals what? | The result is 199.02. | Step 1: Original value = 186.
Step 2: Increase percentage = 7%.
Step 3: Increase amount = 186 × 0.07 = 13.02.
Step 4: New value = original + increase = 186 + 13.02 = 199.02. | percentage | hard |
206 | If a meeting starts at 10:30 and lasts 1 hours and 0 minutes, when does it end? | The meeting ends at 11:30. | Step 1: Start time: 10:30 = 630 minutes.
Step 2: Duration: 1h 0min = 60 minutes.
Step 3: End time in minutes: 630 + 60 = 690 minutes.
Step 4: Convert to hours and minutes: 690 minutes = 11 hours and 30 minutes.
Step 5: Format: 11:30. | time_logic | easy |
207 | The ratio of cars to bikes is 3:5. If there are 99 total, how many of each are there? | There are 37 of the first and 62 of the second. | Step 1: Total ratio parts = 3 + 5 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 99 ÷ 8 = 12.38.
Step 3: First part count = 3 × 12.38 = 37.
Step 4: Second part count = 5 × 12.38 = 62. | ratio | hard |
208 | The ratio of teachers to students is 4:4. If there are 81 total, how many of each are there? | There are 40 of the first and 40 of the second. | Step 1: Total ratio parts = 4 + 4 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 81 ÷ 8 = 10.12.
Step 3: First part count = 4 × 10.12 = 40.
Step 4: Second part count = 4 × 10.12 = 40. | ratio | easy |
209 | Calculate 176 ÷ 11. | The result is 16. | Step 1: Identify the operation: division.
Step 2: Divide 176 by 11.
Step 3: 176 ÷ 11 = 16. | basic_arithmetic | hard |
210 | The ratio of apples to oranges is 5:5. If there are 81 total, how many of each are there? | There are 40 of the first and 40 of the second. | Step 1: Total ratio parts = 5 + 5 = 10.
Step 2: Value of one ratio part = total ÷ total parts = 81 ÷ 10 = 8.10.
Step 3: First part count = 5 × 8.10 = 40.
Step 4: Second part count = 5 × 8.10 = 40. | ratio | medium |
211 | If 1/3 of students are boys and there are 45 students, how many are girls? | There are 60 girls. | Step 1: Total students = 89.
Step 2: Fraction of boys = 1/3.
Step 3: Number of boys = 89 × 1/3 = 29.
Step 4: Number of girls = total - boys = 89 - 29 = 60. | fraction | medium |
212 | At the market, Jinthe Girard purchased chair at $25.58 each and bought 7 of them. What was the total cost? | Jinthe Girard spent $112.25 in total. | Step 1: Identify the items and their prices: chair costs $25.58, milk costs $86.67.
Step 2: Add the prices to find the total.
Step 3: $25.58 + $86.67 = $112.25. | shopping | easy |
213 | During a holiday sale, apple is discounted by 32%. Original price was $46.27. What's the new price? | The new price after 32% discount is $31.46. | Step 1: Original price is $46.27.
Step 2: Discount is 32%.
Step 3: Calculate discount amount: $46.27 × 0.32 = $14.81.
Step 4: Subtract discount from original price: $46.27 - $14.81 = $31.46. | shopping | medium |
214 | Shelley Fitzgerald has a appointment at 13:00 that lasts 1 hours. After a 42-minute break, Shelley Fitzgerald has another activity. When does the second activity start? | The second activity starts at 14:42. | Step 1: appointment starts at 13:00 and lasts 1 hours.
Step 2: appointment ends at 14:00.
Step 3: Break lasts 42 minutes.
Step 4: Add break to end time: 14:00 + 42 minutes = 14:42. | time_logic | easy |
215 | 63 increased by 23% equals what? | The result is 77.49. | Step 1: Original value = 63.
Step 2: Increase percentage = 23%.
Step 3: Increase amount = 63 × 0.23 = 14.49.
Step 4: New value = original + increase = 63 + 14.49 = 77.49. | percentage | medium |
216 | José María Krebs traveled from Port Kimberly to South Vicki at 46 km/h for 1 hours. What distance was covered? | The distance covered is 46 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 46 km/h, time = 1 hours.
Step 3: Distance = 46 × 1 = 46 km. | distance_speed | medium |
217 | Fabiola de Vroege is 26 years old. Kai Hensley is twice as old. How old is Kai Hensley? | Kai Hensley is 52 years old. | Step 1: Fabiola de Vroege is 26 years old.
Step 2: Kai Hensley is twice as old.
Step 3: Multiply 26 by 2: 26 × 2 = 52. | age | easy |
218 | If a meeting starts at 13:30 and lasts 2 hours and 45 minutes, when does it end? | The meeting ends at 16:15. | Step 1: Start time: 13:30 = 810 minutes.
Step 2: Duration: 2h 45min = 165 minutes.
Step 3: End time in minutes: 810 + 165 = 975 minutes.
Step 4: Convert to hours and minutes: 975 minutes = 16 hours and 15 minutes.
Step 5: Format: 16:15. | time_logic | hard |
219 | Solve the system of equations:
2x + 3y = 19
4x - y = 17 | The solution is x = 5, y = 3. | Step 1: Multiply second equation by 3: 12x - 3y = 51.
Step 2: Add to first equation: (2x + 3y) + (12x - 3y) = 19 + 51.
Step 3: Simplify: 14x = 70 → x = 5.
Step 4: Substitute into first equation: 2(5) + 3y = 19 → 3y = 9 → y = 3. | algebra | hard |
220 | Convert 8 hours to seconds. | 8 hours is 28800 seconds. | Step 1: 1 hour = 60 minutes = 3600 seconds.
Step 2: 8 hours = 8 × 3600 = 28800 seconds. | time_logic | medium |
221 | Find the result of 427 + 598. | The result is 1025. | Step 1: Identify the operation: addition.
Step 2: Add 427 and 598.
Step 3: 427 + 598 = 1025. | basic_arithmetic | hard |
222 | Find x if 10x + 16 equals 9 | The solution is x = -0.70. | Step 1: Start with equation: 10x + 16 = 9.
Step 2: Subtract 16 from both sides: 10x = 9 - 16 = -7.
Step 3: Divide both sides by 10: x = -7 / 10 = -0.70. | algebra | hard |
223 | The ratio of teachers to students is 3:5. If there are 38 total, how many of each are there? | There are 14 of the first and 24 of the second. | Step 1: Total ratio parts = 3 + 5 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 38 ÷ 8 = 4.75.
Step 3: First part count = 3 × 4.75 = 14.
Step 4: Second part count = 5 × 4.75 = 24. | ratio | hard |
224 | Egbert Navarrete ate 1/6 of a pizza. Maks Gaillard ate 1/8. How much pizza remains? | 0.71 of the pizza remains. | Step 1: Egbert Navarrete ate 1/6 of the pizza.
Step 2: Maks Gaillard ate 1/8 of the pizza.
Step 3: Total eaten = 1/6 + 1/8 = 0.29.
Step 4: Remaining = 1 - 0.29 = 0.71. | fraction | hard |
225 | A rectangular pool is 18 m long and 20 m wide. What is its area in square meters? | The area is 360 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 18 cm, width = 20 cm.
Step 3: Area = 18 × 20 = 360 cm². | geometry | medium |
226 | Find the result of 252 ÷ 18. | The result is 14. | Step 1: Identify the operation: division.
Step 2: Divide 252 by 18.
Step 3: 252 ÷ 18 = 14. | basic_arithmetic | easy |
227 | During a holiday sale, shirt is discounted by 29%. Original price was $20.03. What's the new price? | The new price after 29% discount is $14.22. | Step 1: Original price is $20.03.
Step 2: Discount is 29%.
Step 3: Calculate discount amount: $20.03 × 0.29 = $5.81.
Step 4: Subtract discount from original price: $20.03 - $5.81 = $14.22. | shopping | hard |
228 | If 1/6 of students are boys and there are 35 students, how many are girls? | There are 56 girls. | Step 1: Total students = 67.
Step 2: Fraction of boys = 1/6.
Step 3: Number of boys = 67 × 1/6 = 11.
Step 4: Number of girls = total - boys = 67 - 11 = 56. | fraction | medium |
229 | What is the value of x in 6x + 15 = 21? | The solution is x = 1.00. | Step 1: Start with equation: 6x + 15 = 21.
Step 2: Subtract 15 from both sides: 6x = 21 - 15 = 6.
Step 3: Divide both sides by 6: x = 6 / 6 = 1.00. | algebra | hard |
230 | At the market, مرتقي Donà purchased toy at $11.81 each and bought 2 of them. What was the total cost? | مرتقي Donà spent $86.16 in total. | Step 1: Identify the items and their prices: toy costs $11.81, book costs $74.35.
Step 2: Add the prices to find the total.
Step 3: $11.81 + $74.35 = $86.16. | shopping | hard |
231 | Clara Olmo completed 1/4 of a project on Monday and 1/6 on Tuesday. What fraction is complete? | 0.42 of the project is complete. | Step 1: On Monday, Clara Olmo completed 1/4.
Step 2: On Tuesday, Clara Olmo completed 1/6.
Step 3: Total completed = 1/4 + 1/6 = 0.42. | fraction | medium |
232 | Find the result of 874 - 295. | The result is 579. | Step 1: Identify the operation: subtraction.
Step 2: Subtract 295 from 874.
Step 3: 874 - 295 = 579. | basic_arithmetic | medium |
233 | Calculate 930 + 788. | The result is 1718. | Step 1: Identify the operation: addition.
Step 2: Add 930 and 788.
Step 3: 930 + 788 = 1718. | basic_arithmetic | hard |
234 | If a meeting starts at 16:00 and lasts 2 hours and 45 minutes, when does it end? | The meeting ends at 18:45. | Step 1: Start time: 16:00 = 960 minutes.
Step 2: Duration: 2h 45min = 165 minutes.
Step 3: End time in minutes: 960 + 165 = 1125 minutes.
Step 4: Convert to hours and minutes: 1125 minutes = 18 hours and 45 minutes.
Step 5: Format: 18:45. | time_logic | easy |
235 | The ratio of teachers to students is 5:3. If there are 57 total, how many of each are there? | There are 36 of the first and 21 of the second. | Step 1: Total ratio parts = 5 + 3 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 57 ÷ 8 = 7.12.
Step 3: First part count = 5 × 7.12 = 36.
Step 4: Second part count = 3 × 7.12 = 21. | ratio | easy |
236 | The ratio of cars to bikes is 2:4. If there are 56 total, how many of each are there? | There are 19 of the first and 37 of the second. | Step 1: Total ratio parts = 2 + 4 = 6.
Step 2: Value of one ratio part = total ÷ total parts = 56 ÷ 6 = 9.33.
Step 3: First part count = 2 × 9.33 = 19.
Step 4: Second part count = 4 × 9.33 = 37. | ratio | medium |
237 | Compute 108 ÷ 6. | The result is 18. | Step 1: Identify the operation: division.
Step 2: Divide 108 by 6.
Step 3: 108 ÷ 6 = 18. | basic_arithmetic | medium |
238 | Reduce the fraction 29/50 to its simplest form. | The simplified fraction is 29/50. | Step 1: Original fraction is 29/50.
Step 2: Find GCD of 29 and 50. GCD = 1.
Step 3: Divide numerator and denominator by GCD: 29 ÷ 1 = 29, 50 ÷ 1 = 50. | fraction | medium |
239 | A triangle has base 34 cm and height 13 cm. Calculate its area. | The area is 221.0 cm². | Step 1: Formula for area of triangle = ½ × base × height.
Step 2: Base = 34 cm, height = 13 cm.
Step 3: Area = ½ × 34 × 13 = 221.0 cm². | geometry | easy |
240 | The ratio of cars to bikes is 5:3. If there are 77 total, how many of each are there? | There are 48 of the first and 29 of the second. | Step 1: Total ratio parts = 5 + 3 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 77 ÷ 8 = 9.62.
Step 3: First part count = 5 × 9.62 = 48.
Step 4: Second part count = 3 × 9.62 = 29. | ratio | medium |
241 | 중수 पवार is 34 years old. In 17 years, how old will she be? | In 13 years, 중수 पवार will be 47 years old. | Step 1: Current age of 중수 पवार is 34 years.
Step 2: We want to find age in 13 years.
Step 3: Add 13 to current age: 34 + 13 = 47. | age | hard |
242 | A population of 106 grows by 9% annually. What is the new population? | The result is 115.54. | Step 1: Original value = 106.
Step 2: Increase percentage = 9%.
Step 3: Increase amount = 106 × 0.09 = 9.54.
Step 4: New value = original + increase = 106 + 9.54 = 115.54. | percentage | easy |
243 | During a holiday sale, phone is discounted by 15%. Original price was $76.42. What's the new price? | The new price after 15% discount is $64.96. | Step 1: Original price is $76.42.
Step 2: Discount is 15%.
Step 3: Calculate discount amount: $76.42 × 0.15 = $11.46.
Step 4: Subtract discount from original price: $76.42 - $11.46 = $64.96. | shopping | easy |
244 | If a train journey takes 1 hours and 53 minutes, and another takes 5 hours and 57 minutes, what is the total travel time? | The total travel time is 7 hours and 50 minutes. | Step 1: First journey: 1h 53min.
Step 2: Second journey: 5h 57min.
Step 3: Add hours: 1 + 5 = 6 hours.
Step 4: Add minutes: 53 + 57 = 110 minutes.
Step 5: Convert excess minutes to hours: 110 minutes = 50 minutes with 1 hour(s) to add.
Step 6: Total: 7 hours and 50 minutes. | time_logic | hard |
245 | Леон Hahn completed 1/8 of a project on Monday and 1/2 on Tuesday. What fraction is complete? | 0.62 of the project is complete. | Step 1: On Monday, Леон Hahn completed 1/8.
Step 2: On Tuesday, Леон Hahn completed 1/2.
Step 3: Total completed = 1/8 + 1/2 = 0.62. | fraction | easy |
246 | A train covers 61 km from Nicolebury to Port Bonniemouth in 4 hours. What is its average speed? | The average speed is 15.2 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 61 km, time = 4 hours.
Step 3: Speed = 61 ÷ 4 = 15.2 km/h. | distance_speed | medium |
247 | The ratio of apples to oranges is 2:2. If there are 74 total, how many of each are there? | There are 37 of the first and 37 of the second. | Step 1: Total ratio parts = 2 + 2 = 4.
Step 2: Value of one ratio part = total ÷ total parts = 74 ÷ 4 = 18.50.
Step 3: First part count = 2 × 18.50 = 37.
Step 4: Second part count = 2 × 18.50 = 37. | ratio | medium |
248 | Solve for x: 9x + 2 = 30 | The solution is x = 3.11. | Step 1: Start with equation: 9x + 2 = 30.
Step 2: Subtract 2 from both sides: 9x = 30 - 2 = 28.
Step 3: Divide both sides by 9: x = 28 / 9 = 3.11. | algebra | medium |
249 | The ratio of cars to bikes is 5:3. If there are 37 total, how many of each are there? | There are 23 of the first and 14 of the second. | Step 1: Total ratio parts = 5 + 3 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 37 ÷ 8 = 4.62.
Step 3: First part count = 5 × 4.62 = 23.
Step 4: Second part count = 3 × 4.62 = 14. | ratio | hard |
250 | A number multiplied by 5 gives 165. What is the number? | The original number is 33. | Step 1: Let the unknown number be x.
Step 2: According to the problem: x × 5 = 165.
Step 3: Divide both sides by 5: x = 165 ÷ 5 = 33. | algebra | medium |
251 | Calculate 769 - 357. | The result is 412. | Step 1: Identify the operation: subtraction.
Step 2: Subtract 357 from 769.
Step 3: 769 - 357 = 412. | basic_arithmetic | easy |
252 | A train covers 287 km from Lake Jacqueline to Jimenezport in 6 hours. What is its average speed? | The average speed is 47.8 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 287 km, time = 6 hours.
Step 3: Speed = 287 ÷ 6 = 47.8 km/h. | distance_speed | hard |
253 | Виктория Зимина traveled from Duranview to Johnsonmouth at 65 km/h for 2 hours. What distance was covered? | The distance covered is 130 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 65 km/h, time = 2 hours.
Step 3: Distance = 65 × 2 = 130 km. | distance_speed | hard |
254 | A cube has sides of 8 cm. What is its volume? | The volume is 512 cm³. | Step 1: Formula for volume of cube = side³.
Step 2: Side = 8 cm.
Step 3: Volume = 8³ = 8 × 8 × 8 = 512 cm³. | volume | hard |
255 | The ratio of apples to oranges is 3:2. If there are 32 total, how many of each are there? | There are 19 of the first and 13 of the second. | Step 1: Total ratio parts = 3 + 2 = 5.
Step 2: Value of one ratio part = total ÷ total parts = 32 ÷ 5 = 6.40.
Step 3: First part count = 3 × 6.40 = 19.
Step 4: Second part count = 2 × 6.40 = 13. | ratio | hard |
256 | The ratio of teachers to students is 2:3. If there are 25 total, how many of each are there? | There are 10 of the first and 15 of the second. | Step 1: Total ratio parts = 2 + 3 = 5.
Step 2: Value of one ratio part = total ÷ total parts = 25 ÷ 5 = 5.00.
Step 3: First part count = 2 × 5.00 = 10.
Step 4: Second part count = 3 × 5.00 = 15. | ratio | medium |
257 | During a winter sale, chair is discounted by 30%. Original price was $99.35. What's the new price? | The new price after 30% discount is $69.54. | Step 1: Original price is $99.35.
Step 2: Discount is 30%.
Step 3: Calculate discount amount: $99.35 × 0.3 = $29.80.
Step 4: Subtract discount from original price: $99.35 - $29.80 = $69.54. | shopping | medium |
258 | A rectangular pool is 19 m long and 16 m wide. What is its area in square meters? | The area is 304 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 19 cm, width = 16 cm.
Step 3: Area = 19 × 16 = 304 cm². | geometry | medium |
259 | A population of 159 grows by 22% annually. What is the new population? | The result is 193.98. | Step 1: Original value = 159.
Step 2: Increase percentage = 22%.
Step 3: Increase amount = 159 × 0.22 = 34.98.
Step 4: New value = original + increase = 159 + 34.98 = 193.98. | percentage | easy |
260 | सुरेश Scamarcio is 35 years old. In 5 years, how old will she be? | In 10 years, सुरेश Scamarcio will be 45 years old. | Step 1: Current age of सुरेश Scamarcio is 35 years.
Step 2: We want to find age in 10 years.
Step 3: Add 10 to current age: 35 + 10 = 45. | age | medium |
261 | The ratio of teachers to students is 5:3. If there are 69 total, how many of each are there? | There are 43 of the first and 26 of the second. | Step 1: Total ratio parts = 5 + 3 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 69 ÷ 8 = 8.62.
Step 3: First part count = 5 × 8.62 = 43.
Step 4: Second part count = 3 × 8.62 = 26. | ratio | easy |
262 | 144 increased by 7% equals what? | The result is 154.08. | Step 1: Original value = 144.
Step 2: Increase percentage = 7%.
Step 3: Increase amount = 144 × 0.07 = 10.08.
Step 4: New value = original + increase = 144 + 10.08 = 154.08. | percentage | easy |
263 | 98 increased by 30% equals what? | The result is 127.40. | Step 1: Original value = 98.
Step 2: Increase percentage = 30%.
Step 3: Increase amount = 98 × 0.3 = 29.40.
Step 4: New value = original + increase = 98 + 29.40 = 127.40. | percentage | medium |
264 | If 1/5 of students are boys and there are 71 students, how many are girls? | There are 80 girls. | Step 1: Total students = 100.
Step 2: Fraction of boys = 1/5.
Step 3: Number of boys = 100 × 1/5 = 20.
Step 4: Number of girls = total - boys = 100 - 20 = 80. | fraction | medium |
265 | A train covers 213 km from Lake Matthewberg to Lake Christopher in 2 hours. What is its average speed? | The average speed is 106.5 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 213 km, time = 2 hours.
Step 3: Speed = 213 ÷ 2 = 106.5 km/h. | distance_speed | medium |
266 | Carolina Mata is 23 years old. In 8 years, how old will she be? | In 11 years, Carolina Mata will be 34 years old. | Step 1: Current age of Carolina Mata is 23 years.
Step 2: We want to find age in 11 years.
Step 3: Add 11 to current age: 23 + 11 = 34. | age | medium |
267 | If a meeting starts at 15:30 and lasts 3 hours and 45 minutes, when does it end? | The meeting ends at 19:15. | Step 1: Start time: 15:30 = 930 minutes.
Step 2: Duration: 3h 45min = 225 minutes.
Step 3: End time in minutes: 930 + 225 = 1155 minutes.
Step 4: Convert to hours and minutes: 1155 minutes = 19 hours and 15 minutes.
Step 5: Format: 19:15. | time_logic | hard |
268 | Find the result of 112 ÷ 16. | The result is 7. | Step 1: Identify the operation: division.
Step 2: Divide 112 by 16.
Step 3: 112 ÷ 16 = 7. | basic_arithmetic | easy |
269 | A rectangular pool is 36 m long and 8 m wide. What is its area in square meters? | The area is 288 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 36 cm, width = 8 cm.
Step 3: Area = 36 × 8 = 288 cm². | geometry | hard |
270 | Calculate 537 + 35. | The result is 572. | Step 1: Identify the operation: addition.
Step 2: Add 537 and 35.
Step 3: 537 + 35 = 572. | basic_arithmetic | hard |
271 | The ratio of boys to girls is 5:3. If there are 100 total, how many of each are there? | There are 62 of the first and 38 of the second. | Step 1: Total ratio parts = 5 + 3 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 100 ÷ 8 = 12.50.
Step 3: First part count = 5 × 12.50 = 62.
Step 4: Second part count = 3 × 12.50 = 38. | ratio | easy |
272 | A rectangular prism has dimensions 3cm × 6cm × 10cm. What is its volume? | The volume is 180 cm³. | Step 1: Formula for volume of rectangular prism = length × width × height.
Step 2: Length = 3 cm, width = 6 cm, height = 10 cm.
Step 3: Volume = 3 × 6 × 10 = 180 cm³. | volume | medium |
273 | The ratio of teachers to students is 5:2. If there are 20 total, how many of each are there? | There are 14 of the first and 6 of the second. | Step 1: Total ratio parts = 5 + 2 = 7.
Step 2: Value of one ratio part = total ÷ total parts = 20 ÷ 7 = 2.86.
Step 3: First part count = 5 × 2.86 = 14.
Step 4: Second part count = 2 × 2.86 = 6. | ratio | hard |
274 | 霞 Abate traveled from West Kimberlymouth to Lake Alyssafurt at 94 km/h for 4 hours. What distance was covered? | The distance covered is 376 km. | Step 1: Formula: distance = speed × time.
Step 2: Speed = 94 km/h, time = 4 hours.
Step 3: Distance = 94 × 4 = 376 km. | distance_speed | easy |
275 | A cube has sides of 10 cm. What is its volume? | The volume is 1000 cm³. | Step 1: Formula for volume of cube = side³.
Step 2: Side = 10 cm.
Step 3: Volume = 10³ = 10 × 10 × 10 = 1000 cm³. | volume | easy |
276 | If 1/8 of students are boys and there are 40 students, how many are girls? | There are 60 girls. | Step 1: Total students = 68.
Step 2: Fraction of boys = 1/8.
Step 3: Number of boys = 68 × 1/8 = 8.
Step 4: Number of girls = total - boys = 68 - 8 = 60. | fraction | hard |
277 | Compute 96 + 416. | The result is 512. | Step 1: Identify the operation: addition.
Step 2: Add 96 and 416.
Step 3: 96 + 416 = 512. | basic_arithmetic | medium |
278 | A train covers 380 km from East Kristin to Carlshire in 3 hours. What is its average speed? | The average speed is 126.7 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 380 km, time = 3 hours.
Step 3: Speed = 380 ÷ 3 = 126.7 km/h. | distance_speed | hard |
279 | A cube has sides of 5 cm. What is its volume? | The volume is 125 cm³. | Step 1: Formula for volume of cube = side³.
Step 2: Side = 5 cm.
Step 3: Volume = 5³ = 5 × 5 × 5 = 125 cm³. | volume | easy |
280 | If Matthew Fox thinks of a number, multiplies it by 2, and gets 54, what was the original number? | The original number is 27. | Step 1: Let the unknown number be x.
Step 2: According to the problem: x × 2 = 54.
Step 3: Divide both sides by 2: x = 54 ÷ 2 = 27. | algebra | hard |
281 | A population of 86 grows by 29% annually. What is the new population? | The result is 110.94. | Step 1: Original value = 86.
Step 2: Increase percentage = 29%.
Step 3: Increase amount = 86 × 0.29 = 24.94.
Step 4: New value = original + increase = 86 + 24.94 = 110.94. | percentage | easy |
282 | A population of 188 grows by 15% annually. What is the new population? | The result is 216.20. | Step 1: Original value = 188.
Step 2: Increase percentage = 15%.
Step 3: Increase amount = 188 × 0.15 = 28.20.
Step 4: New value = original + increase = 188 + 28.20 = 216.20. | percentage | hard |
283 | A rectangle has length 37 cm and width 26 cm. What is its area? | The area is 962 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 37 cm, width = 26 cm.
Step 3: Area = 37 × 26 = 962 cm². | geometry | medium |
284 | The ratio of boys to girls is 5:3. If there are 29 total, how many of each are there? | There are 18 of the first and 11 of the second. | Step 1: Total ratio parts = 5 + 3 = 8.
Step 2: Value of one ratio part = total ÷ total parts = 29 ÷ 8 = 3.62.
Step 3: First part count = 5 × 3.62 = 18.
Step 4: Second part count = 3 × 3.62 = 11. | ratio | medium |
285 | Christopher Barr has a appointment at 9:00 that lasts 3 hours. After a 23-minute break, Christopher Barr has another activity. When does the second activity start? | The second activity starts at 12:23. | Step 1: appointment starts at 9:00 and lasts 3 hours.
Step 2: appointment ends at 12:00.
Step 3: Break lasts 23 minutes.
Step 4: Add break to end time: 12:00 + 23 minutes = 12:23. | time_logic | medium |
286 | At the market, Augusto Fermi purchased chair at $9.48 each and bought 3 of them. What was the total cost? | Augusto Fermi spent $71.72 in total. | Step 1: Identify the items and their prices: chair costs $9.48, milk costs $62.24.
Step 2: Add the prices to find the total.
Step 3: $9.48 + $62.24 = $71.72. | shopping | easy |
287 | If Hector Ingram thinks of a number, multiplies it by 4, and gets 120, what was the original number? | The original number is 30. | Step 1: Let the unknown number be x.
Step 2: According to the problem: x × 4 = 120.
Step 3: Divide both sides by 4: x = 120 ÷ 4 = 30. | algebra | easy |
288 | The ratio of cars to bikes is 5:4. If there are 54 total, how many of each are there? | There are 30 of the first and 24 of the second. | Step 1: Total ratio parts = 5 + 4 = 9.
Step 2: Value of one ratio part = total ÷ total parts = 54 ÷ 9 = 6.00.
Step 3: First part count = 5 × 6.00 = 30.
Step 4: Second part count = 4 × 6.00 = 24. | ratio | easy |
289 | A rectangle has length 16 cm and width 16 cm. What is its area? | The area is 256 cm². | Step 1: Formula for area of rectangle = length × width.
Step 2: Length = 16 cm, width = 16 cm.
Step 3: Area = 16 × 16 = 256 cm². | geometry | medium |
290 | A train covers 247 km from Navarroview to Jonesmouth in 1 hours. What is its average speed? | The average speed is 247.0 km/h. | Step 1: Formula: speed = distance ÷ time.
Step 2: Distance = 247 km, time = 1 hours.
Step 3: Speed = 247 ÷ 1 = 247.0 km/h. | distance_speed | medium |
291 | A rectangular prism has dimensions 12cm × 5cm × 9cm. What is its volume? | The volume is 540 cm³. | Step 1: Formula for volume of rectangular prism = length × width × height.
Step 2: Length = 12 cm, width = 5 cm, height = 9 cm.
Step 3: Volume = 12 × 5 × 9 = 540 cm³. | volume | easy |
292 | What is the perimeter of a square with side 12 cm? | The perimeter is 48 cm. | Step 1: Formula for perimeter of square = 4 × side.
Step 2: Side = 12 cm.
Step 3: Perimeter = 4 × 12 = 48 cm. | geometry | medium |
293 | At the market, ألين Блохина purchased toy at $78.48 each and bought 5 of them. What was the total cost? | ألين Блохина spent $115.23 in total. | Step 1: Identify the items and their prices: toy costs $78.48, phone costs $36.75.
Step 2: Add the prices to find the total.
Step 3: $78.48 + $36.75 = $115.23. | shopping | easy |
294 | What is the perimeter of a square with side 3 cm? | The perimeter is 12 cm. | Step 1: Formula for perimeter of square = 4 × side.
Step 2: Side = 3 cm.
Step 3: Perimeter = 4 × 3 = 12 cm. | geometry | medium |
295 | Florentino 何 is 35 years old. In 11 years, how old will she be? | In 13 years, Florentino 何 will be 48 years old. | Step 1: Current age of Florentino 何 is 35 years.
Step 2: We want to find age in 13 years.
Step 3: Add 13 to current age: 35 + 13 = 48. | age | medium |
296 | A number multiplied by 3 gives 138. What is the number? | The original number is 46. | Step 1: Let the unknown number be x.
Step 2: According to the problem: x × 3 = 138.
Step 3: Divide both sides by 3: x = 138 ÷ 3 = 46. | algebra | medium |
297 | What is 10% of 189? | 10% of 189 is 18.90. | Step 1: We need to find 10% of 189.
Step 2: Percentage calculation: 189 × 0.1.
Step 3: 189 × 0.1 = 18.90. | percentage | hard |
298 | Chris van den Pol went shopping with $58.77. After buying milk for $14.78, how much money remains? | He has $43.99 remaining. | Step 1: Chris van den Pol started with $58.77.
Step 2: He spent $14.78 on milk.
Step 3: Subtract the spent amount from the initial money: $58.77 - $14.78 = $43.99. | shopping | hard |
299 | During a winter sale, banana is discounted by 50%. Original price was $70.46. What's the new price? | The new price after 50% discount is $35.23. | Step 1: Original price is $70.46.
Step 2: Discount is 50%.
Step 3: Calculate discount amount: $70.46 × 0.5 = $35.23.
Step 4: Subtract discount from original price: $70.46 - $35.23 = $35.23. | shopping | hard |
300 | 12 × 3 equals what? | The result is 36. | Step 1: Identify the operation: multiplication.
Step 2: Multiply 12 by 3.
Step 3: 12 × 3 = 36. | basic_arithmetic | hard |
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