Datasets:

syeddula
/

math_word_problems

+Word Problem,Explanation,Answer
+A farmer has a field in the shape of a rectangle with a length of 24 meters and a width of 15 meters. What is the area of the field?,Use the area formula for a rectangle: A = length × width. Substituting: A = 24 × 15 = 360 square meters.,360
+"A train departs from City A at 9:00 AM, traveling at 80 km/h. Another train departs from City B at 11:00 AM, traveling at 100 km/h. If the cities are 540 km apart, when will they meet?",First train's head start: 2 hours × 80 km/h = 160 km. Remaining distance: 540 - 160 = 380 km. Relative speed: 100 - 80 = 20 km/h. Time to meet: 380 / 20 = 19 hours after 9:00 AM → 4:00 AM next day.,4
+A triangle has angles measuring 35° and 75°. What is the measure of the third angle?,Sum of angles in a triangle is 180°. Third angle = 180 - (35 + 75) = 70°.,70
+"A theater has 20 rows with 30 seats in each row. If all seats are full and tickets are $15 each, how much revenue is collected?","Total seats: 20 × 30 = 600. Revenue: 600 × $15 = $9,000.",9000
+A cylindrical water tank has a radius of 7 meters and a height of 10 meters. What is its volume rounded to the nearest integer?,Use volume formula: V = πr²h. V = 3.1416 × 7² × 10 ≈ 1539 cubic meters.,1539
+A shop offers a 20% discount on an item originally priced at $250. What is the new price after the discount?,Discount = 20% of 250 = 50. New price = 250 - 50 = $200.,200
+"A plane covers 3,600 km in 4 hours. What is its average speed?",Speed = Distance / Time. 3600 / 4 = 900 km/h.,900
+"A ladder leans against a wall reaching a height of 12 meters, with its base 5 meters from the wall. What is the ladder’s length?",Use Pythagorean theorem: L² = 12² + 5² = 144 + 25 = 169. L = √169 = 13 meters.,13
+A basketball team played 25 games and won 18. What percentage of games did they win?,Percentage = (Wins / Total Games) × 100. (18 / 25) × 100 = 72%.,72
+A river flows at 4 km/h. A boat takes 3 hours to travel downstream 36 km. How fast is the boat in still water?,Speed downstream = 36 km / 3 h = 12 km/h. Boat speed = (12 + 4) / 2 = 8 km/h.,8
+A construction worker lays 250 bricks per hour. How many bricks will he lay in an 8-hour shift?,"Multiply rate by time: 250 × 8 = 2,000 bricks.",2000
+"A book has 432 pages. If you read 36 pages per day, how many days will it take to finish the book?",Divide total pages by pages per day: 432 / 36 = 12 days.,12
+A farm has 48 cows and 72 chickens. How many legs are there in total?,Cows: 48 × 4 = 192. Chickens: 72 × 2 = 144. Total: 192 + 144 = 336 legs.,336
+"A factory produces 15,000 widgets per day. How many widgets will it produce in 24 days?","Multiply daily production by number of days: 15,000 × 24 = 360,000.",360000
+"A football match lasts 90 minutes. If the first half is 45 minutes and there is a 15-minute break, how long is the second half?",Second half = Total match time - (First half + Break) = 90 - (45 + 15) = 30 minutes.,30
+"A restaurant orders 16 crates of oranges, each containing 24 oranges. How many oranges are there in total?",Multiply crates by oranges per crate: 16 × 24 = 384.,384
+"A hiking trail is 18 kilometers long. If a hiker walks at 6 km/h, how many hours will it take to complete the trail?",Time = Distance / Speed. 18 / 6 = 3 hours.,3
+A warehouse has 120 large boxes and 450 small boxes. How many boxes are there in total?,Total boxes = 120 + 450 = 570.,570
+"A music concert has 850 attendees. If each attendee pays $35 for a ticket, what is the total revenue?","Total revenue = 850 × 35 = 29,750.",29750
+"A movie theater has 200 seats, and 80% of them are occupied. How many seats are occupied?",Seats occupied = 80% of 200 = 160.,160
+"A factory produces 72 machines per week. If production increases by 25%, how many machines will be produced in 4 weeks?",Increased weekly production = 72 × 1.25 = 90 machines. Total in 4 weeks = 90 × 4 = 360 machines.,360
+"A large water reservoir has a capacity of 250,000 liters. If 1,750 liters are used daily, how many full days until it is empty?","Days = Total capacity / Daily usage = 250,000 / 1,750 = 142 days.",142
+"A school is organizing a trip for 225 students. If each bus holds 30 students, how many buses are needed?",Total buses = 225 / 30 = 8 (since 7.5 rounds up to 8).,8
+"A factory packs 2,400 chocolate bars into boxes, each containing 48 bars. How many boxes are filled?","Total boxes = 2,400 / 48 = 50.",50
+A cinema screen is 18 meters wide and 9 meters tall. What is the total screen area?,Area = Width × Height = 18 × 9 = 162 square meters.,162
+"A shopping mall has 8 floors, each with 36 shops. If 20% of the shops are vacant, how many shops are occupied?",Total shops = 8 × 36 = 288. Occupied = 80% of 288 = 230.,230
+"A train has 15 carriages, each with 80 seats. If 1,020 passengers board, how many empty seats remain?","Total seats = 15 × 80 = 1,200. Empty seats = 1,200 - 1,020 = 180.",180
+"A software company charges $1,200 per license. A business purchases 35 licenses and receives a $5,000 discount. What is the total cost?","Total cost = (35 × 1,200) - 5,000 = 42,000 - 5,000 = $37,000.",37000
+"A national park has a rectangular trail that is 5 km long and 3 km wide. If a hiker walks 4 full laps, how many kilometers does he walk?",One lap = Perimeter = 2(5 + 3) = 16 km. Total distance = 16 × 4 = 64 km.,64
+"A building has 22 floors, each with 18 apartments. If each apartment has 4 residents, how many people live in the building?","Total apartments = 22 × 18 = 396. Total residents = 396 × 4 = 1,584.",1584