Maths practice for 14 year olds - page 89 of 375
Number of problems found: 7497
- Tickets 11
There are 72 tickets to be shared and divided between Section X and Section Y in the ratio of 4:5. How many tickets will Section Y receive? - Wagon assembly ways
How many ways can we assemble five wagons when sand is in three wagons and cement in two? - 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
Of the 17-member team, two workers fell ill. By what percentage do others have to increase their performance to do at least as much as when the team is working in full force? - 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 20km/h and 60km/h downhill. The distance from the mountain's summit to its destination is 30 km. Calculate the average speed o - 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). - The temperature 28
The temperature rose 14°C in 3 1/2 hours. At what rate, in degrees per hour, did the temperature rise? - 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? The pyramid height is 30 cm, and the wall height is 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 - 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. - Bank interest percentage
Katka had € 660 in the bank, for which she received interest of € 33 at the end of the year. What percentage was the interest? - Concert seating ways
Peter, Jano, Alice, and Rebecca attended a classical concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John? - Granddaughters seedling planting
Grandma bought 200 ingredients. Granddaughter Lenka planted 20% more than granddaughter Danka. Granddaughter Eva planted 40 more seedlings than Danka. Granddaughter Zuzka planted 0.8 times more than Danka. How many seedlings did each of the granddaughters
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