Themes, topics - math word problems - page 77 of 168

Number of problems found: 3357

Triangle-shaped 30011
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm.
Consumption 29991
What kind of petrol consumption in liters of 100 km did the car have when driving in the city if it consumed 34 liters of petrol and drove 388 km?
Census pyramid
Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"?
Block-shaped 29941
Please calculate according to Pascal's law. Kerosene in a block-shaped metal tank reaches a height of 180 cm. Calculate the force acting on the bottom with dimensions of 1.5m and 3m if the density of kerosene is 820kg per M3.
Roman 2
Roman thermae around the year 200 were baths equipped with underground central heating. The largest of them had a rectangular swimming pool with cold water, the bottom dimensions were 17m and 51m, the water reaches a height of 150 cm. Calculate according
Pascal's law
Please calculate according to Pascal's law. Krupp's machines were known for their large size. In 1861, the inventor put a blacksmith's steam hydraulic press into operation in Essen. What was the cross-sectional area of the larger piston if a compressive f
Calculations 29911
Calculations according to Pascal's law. A boiler with an internal wall area of 3.4 m² will be tested at a pressure of 0.9 MPa. Calculate the total compressive force acting on the boiler walls.
Brass sphere
Find the weight of a brass ball with an outer radius of 12 cm and a wall thickness of 20 mm if the brass's density is 8.5 g/cm³.
Triangular 29781
A triangular building plot is drawn on a 1:5,000 scale plan as a triangle with sides of lengths 32.5 mm, 23.5 mm, and 36 mm. Determine how many m of mesh are needed to fence the entire plot.
Hectares
The rectangular land has 3 cm and 4.5 cm dimensions on the plan with a scale of 1:40,000. Find the area of the land in hectares.
Gears
The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?
Therefore 29661
Věra wants to welcome her friend Nada, who will arrive by train at 8:22 AM. Therefore, he leaves home 1.2 km from the station at 8:00 AM and travels at a speed of 3.6 km/h. Will he arrive on time?
Powerful 29651
The first machine can sow a field in 12 hours. The second, more powerful machine in 8 hours. How many hours was the field sown if workers deployed both machines, but the second machine started working 2 hours later than the first machine?
Journey to spa
Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return?
Circumscribed iso triangle
Construct an isosceles triangle if a given circle circumscribed with a radius r = 2.6 cm is given.
Minutes 29491
The car will drive 70km in 56 minutes. How many meters will he drive in half an hour?
Reading
If I read 15 pages a day, I will read the whole book in 18 days. How long will it take to read a book if I only read nine pages every day?
Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed?
Probability
A man had 4 coins, some $2, some $1. The coins had a number on one side and a picture on the other. The man flipped them, and the sum of the numbers on the tops of the coins was 1. The probability of this happening was 1/8. What was the probability that i
At noon
At noon today, it was 6°C outside, but it has increased to 4°C since then. What is the temperature outside now?

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