Themes, topics - math word problems - page 66 of 168

Number of problems found: 3360

Bulb resistance
At a certain point, we measured a voltage of 4.5V at a current of 150 mA at the bulb's terminals connected to the electrical circuit. What is the resistance of the bulb?
Sulfuric acid preparation
Laboratory assistant Eva is to prepare 0.5 liters of 30% sulfuric acid. It has 60% and 15% sulfuric acid ready. How many of which will he use in the solution?
Pedestrian car comparison
The pedestrian will drive 5 km in 1 hour The car will travel 90 km in 1 hour How many times is a pedestrian slower than a car?
Cheetah antelope pursuit
The antelope was 100 m away from the cheetah. The moment the cheetah started running, antelope took off running. The cheetah ran at an average speed of 1200 m per minute, and the antelope 700 m per min. In how many seconds was the cheetah able to catch up
Cauliflower sales
Miss Cabbage sells vegetables in the market. Yesterday, she offered two types of cauliflower - a large one for 25 CZK and a small one for 15 CZK. In the morning, she sold 8 boxes of 20 heads of cauliflower and thus earned 3,270 CZK. How many large and how
Mastering
The student masters the subject matter for the exam in Czech to 98%, from Math to 86%, and from Economics to 71%. What is the probability that he will fail in Math and that others will succeed?
Worker repair time
The worker performs the repair work in 20 days, and his assistant does the job himself in 60 days. How many days would they work together?
Reservoir pump filling
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. If all pumps are switched on simultaneously, how many hours will it be filled?
Atmospheric pressure
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt
Coffee
One kilogram of cheaper coffee costs CZK 150, and one kilogram of more expensive coffee costs CZK 200. We have to prepare a mixture of 35 kg of coffee for 180 CZK. How do we prepare the mixture (how many of which kind of coffee do we need)?
Candy mixture
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used?
Balloon buoyancy force
The balloon filled with hot air has a volume of 1440m³. How large a buoyancy force acted on the balloon in the air with a density of 1.3 kg/m³?
Pharmacist
The pharmacist had a 12 liter vessel of herbal lotion, which contained a 30% active ingredient. Her assistant poured 18 liters of herbal lotion, containing 45% of the active ingredient, into a container. What percentage of herbal lotion was produced?
Muesli
You want to mix your own muesli on a specialized website. 200 g of muesli base costs 170 CZK. You want to add cornflakes in chocolate to the basics. 50g of this ingredient costs 13 CZK. How much do you pay for a 150g mixture when both components weigh the
Worker floor time
Three workers were to lay the parquet floor. If everyone worked alone, the first would finish the job in 30 hours, the second in 24 hours, and the third in 20 hours. How long will they do the floor if they work together?
Route option
From Zubrohlava to Bobrov, there is one asphalt road, two forest roads, and one bike path. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options.
Sidewalk paving time
Two workers will pave a 20-meter-long sidewalk in 5 days. Determine how long it would take to pave the sidewalk: a) 4 workers b) 5 workers c) 10 workers
Forest clearing
A bark beetle attacked part of the forest. The first woodcutter would need ten shifts to clear the forest, the second 6 shifts, and the third five shifts. Calculate how many shifts the forest will take if they work together.
Danube map length
On the map of Bratislava, with a scale of 1:200,000, the length of the river Danube is about 12.3 cm. Approximately how many km of Danube flows through this area?
Glass density
Determine the density of sheet glass with dimensions 2m x 2m x 1dm and a weight of 500kg.

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