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Answer
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360k
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.
9,000
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.
1,539
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.
2,000
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.
360,000
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.
29,750
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.
37,000
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.
1,584
A train travels 120 miles per hour. If it travels for 7 hours without stopping, how far does it travel?
Multiply speed by time: 120 × 7 = 840.
840
A factory produces 3,200 toys per day. How many toys are produced in 25 days?
Multiply daily production by days: 3,200 × 25 = 80,000.
80,000
A farmer has 24 fields, and each field has 35 rows of crops. If each row has 18 plants, how many plants are there in total?
Multiply fields by rows per field, then by plants per row: 24 × 35 × 18 = 15,120.
15,120
A concert hall has 64 sections of seating, each with 28 rows, and each row has 32 seats. How many seats are there in total?
Multiply sections by rows per section, then by seats per row: 64 × 28 × 32 = 57,344.
57,344
A book has 480 pages. If a person reads 16 pages per day, how many days will it take to finish the book?
Divide total pages by pages per day: 480 ÷ 16 = 30.
30
A baker bakes 84 loaves of bread per batch. If they bake 6 batches per day for 20 days, how many loaves are baked in total?
Multiply loaves per batch by batches per day, then by days: 84 × 6 × 20 = 10,080.
10,080
A cyclist travels 45 miles per day. How many miles will they travel in 18 days?
Multiply miles per day by days: 45 × 18 = 810.
810
A warehouse stores 125 boxes per shelf. If there are 48 shelves, how many boxes are in the warehouse?
Multiply boxes per shelf by number of shelves: 125 × 48 = 6,000.
6,000
A printer prints 72 pages per minute. How many pages will it print in 3 hours?
Convert hours to minutes (3 × 60 = 180), then multiply by pages per minute: 180 × 72 = 12,960.
12,960
A parking lot has 95 spaces per level. If the lot has 8 levels, how many cars can park there?
Multiply spaces per level by number of levels: 95 × 8 = 760.
760
A spaceship travels at 25,000 miles per hour. How far does it travel in 4 hours?
Multiply speed by time: 25,000 × 4 = 100,000.
100,000
A landscaper plants 36 trees per week. How many trees will be planted in 52 weeks?
Multiply trees per week by weeks: 36 × 52 = 1,872.
1,872
A fruit vendor sells 250 apples per day. How many apples are sold in 40 days?
Multiply daily sales by days: 250 × 40 = 10,000.
10,000
A runner completes 5 miles per training session. If they train 120 times in a year, how many miles do they run?
Multiply miles per session by training sessions: 5 × 120 = 600.
600
A gym membership costs $50 per month. How much is paid in 18 months?
Multiply cost per month by months: 50 × 18 = 900.
900