Maths practice for 14 year olds - page 91 of 362
Number of problems found: 7238
- In the city 2
In the city Náhoda (Coincidence), they abolished the timetables and the city buses run completely randomly. Imagine that you are standing at a bus stop, at which 5 buses stop with numbers 12, 14, 15, 21 and 27, and you can get home by two of them. a/What - Painter area days
Eight painters painted an area of 15200 m² in 5 days. How many painters will paint a room of 13680 m² in 3 days? - Worker output increase
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task? - Diamond height angle
What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - Team performance increase
In a 17-member team, two workers fell ill. By what percentage must the others increase their performance to accomplish at least as much as when the team is at full strength? - Quadrilateral 4S prism
The edge lengths of a quadrilateral prism are in the ratio a:b:c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Runner opposite speed
Two runners train on a circular track that is 375 m long. When they start from the same place and run in opposite directions, they meet in 30 seconds. When they run in the same direction, they are 15 m apart in 30 seconds. What is the average speed of eac - A cyclist
A cyclist rides for 30 minutes on a style road to the top of a mountain. Down there, the road goes downhill. Its uphill speed is 20 km/h and 60 km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed - Safe key locks
We have to distribute the keys to the safe among four people so that no two of them can open the safe but in such a way that any three can open the safe. How many minimum keys do we need? How to divide them? How many minimum locks must be on the safe? All - Cart friction force
An 80 kg cart moving at constant speed along a horizontal road is subjected to a pulling force of 120 N. Specify: a) the magnitude of the frictional force b) the value of the coefficient of shear friction. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Prizes in a competition
In a competition announced for a design of a poster, the prizes for the first three winners are prizes of a total value of 9 500 Kč. The second prize has a value of two thirds of the first prize, and the third prize has a value of two thirds of the second - The temperature 28
The temperature rose 14 °C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise? - Concert two parts
Matej and Tom enjoyed the concert of their favourite musical group from the beginning until the end. After its first part, a ten-minute intermission followed. The second part of the concert was 40% shorter than its first part. The musicians performed live - School grade expression
There are p first-year students in the school. There are 18% fewer sophomores than first-year students. There are 7 more third graders than sophomores and twice as many fourth graders as first- and second-year students combined. Express the number of pupi - Bread price increase
In April, a loaf of bread costs 42 CZK. Compared to March, this is an increase of 5 percent. What was the price a month ago? - Quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid with a height of 30 cm and a slant height (wall height) of 50 cm? - Money multiplier reserve
The economy's money is 600 PJ (monetary units). The proportion of cash is 5%. All cash is in circulation, and none is hoarded. The optimal reserve ratio is 12%. Calculate the money multiplier - In the centre
In the centre of the city a new restaurant was opened. The customer can choose whether he wants penne, spaghetti or fusilli. He can have them salty with one of five sauces and a portion will according to his wish either be sprinkled, or not sprinkled with - Nail screw sales
The hardware store sold 1 kg of nails for CZK 400 and 1 kg of screws for CZK 800. How many kilograms of nails and how many screws did they sell if they sold a total of 5 kilograms and earned CZK 3,200.
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